The first few are starts. Γ(n+1) for positive integer n = n!, this number can be thought of as -1/2!, the factorial of -1/2. A base divisible by 2, 3, 4, AND 6! This number has also been named lcillion (pronounced /el-sil-yun/), a name based on the Roman numeral "L" for 50. and the cube of our base. If we were in an odd-numbered base, 8’s decimal expansion would repeat since its prime factorization does not consist only of factors of these numbers. The fifty-move rule states that if the game goes, First consider the maximum number of pawn moves or captures that can happen in a game of chess. It isn't even known whether this is a transcendental number or not. Similarly to, log(6) = log(2*3) = log(2)+log(3) ~ 0.301+0.477 ~ 0.778, log(9) = log(3*3) = log(3)+log(3) ~ 0.477+0.477 ~ 0.954, log(18) = log(2*3*3) = log(2)+log(3)+log(3) ~ 0.301+0.477+0.477 ~ 1.255, Squarefree numbers are numbers that aren't divisible by a, Another logarithmic number. Nonetheless this is still a completely well-defined number. Some names of large numbers, such as million, billion, and trillion, have real referents in human experience, and are encountered in many contexts. I. t’s amazing that both the leading and ending digits can be computed quite easily, but that since the number of digits is so large we will never compute all of them. This is the third member of the googolple- series, and an interesting one in my opinion. If you want a small glimpse of how big it is, here. That increase easily crushes a 7% annual increase. It boggles the mind. The first few numbers to appear in its continued fraction are 0. See, 449 is the largest number whose factorial is less than, The largest known perfect number has about 34 million digits. The Milky Way is about 150 novemdecillion cubic feet, and the universe is 8.03 novemdecillion Planck times old. This constitutes everything from, Interestingly enough, in the periodic table, the notoriously dangerous and highly regulated plutonium is followed by, My childhood "Very Important Numbers" list had, 107 is the value of S(4) using the frantic frog function, which is a sibling of the famed busy beaver function. https://sites.google.com/site/pointlesslargenumberstuff/home/l/pgln1 No number below, The number of chemical elements in the periodic table that naturally occur on Earth in any quantity. This, generally, clearly would mean almost all and is used figuratively as such. This is also the number of uniform polyhedra (see also, 75 has also gained some cultural significance for being exactly 3/4 of the way to, Related to that, 100, is also a very common number in googology. It's also the number of vertices on a cube, as well as the number of cardinal directions most people would choose from when specifying on a map (north, northeast, east, southeast, south, southwest, west, northwest). The name was coined by Cookiefonster, in … A millionduplex or millionplexian is equal to 10 10 1,000,000 = 10 10 10 6, or E6#3 in Hyper-E notation. defined as how many steps it takes to reduce a chain of integers [n] down to an empty chain using a specific set of rules. At times, the names of large numbers have been forced into common usage as a result of hyperinflation. An octodecillion (nonilliard in the long scale) is equal to 10^57. A quattuordecillion (septilliard in the long scale) is equal to 10^45, and y. It's notable for being the largest pandigital square number without redundant digits, and the largest perfect power without a digit occurring more than once. l is the natural density of the squarefree numbers. for more on my system of extended SI prefixes. Spurious correlations - You can prove anything with statistics. 18 is the most common adulthood age in the world, as in most countries the age you are considered an adult and the voting age is 18. Triubol is equal to {10,100(1)(1)(1)2} in BEAF.1 The term was coined by Cookiefonster. Sbiis Saibian gives this number a name, "gogol". It has many unique properties (mostly for trivial reasons) and it also plays a unique role among the numbers (, A tethrathoth is a googolism by Sbiis Saibian, which, like meameamealokkapoowa oompa, is an insanely huge power of 10. Pointless Gigantic List of Numbers - Part 4 (order type w to w^w) ( back to part 3) PART 4: THE BIGGER INTERMEDIATES. The SI prefixes for 100 are hecto- (from Greek) and centi- (from Latin), the latter of which is used in several words in English such as percent, century, centillion, or centipede. My upper-bound on the number of possible chess games is, This is also known as a "vigintilliard" in the long scale, the largest power of. Giggolbang(occasionally spelledgiggol-bang) is equal to thefactorialof agiggol, \((10\uparrow\uparrow{100})! Interestingly, it's equal to the product of two other googol-related numbers (, A centillion is close to too large to represent anything in the universe and much larger than ANYTHING you’ll see in science, but it’s still somewhat in the practical number range. $12.00. You can see its entry on this number list, o o o o o o o o o o o o o o o o o o o o o o o o o, 512 is notable in googology for being the maximum number of characters allowed in the Bignum Bakeoff large number competition held in, In some versions of the Bible, 616 appeared as the number of the beast instead of the far better-known. This is where users need the top-rated MobiKin Backup Manager for Android to flexibly back up and restore Android files so as to avoid data loss issue. If your computer has a 10% bigger hard drive than your friend’s, you’d be able to fit in quite a bit more stuff. ) Therefore more clever techniques need to be used to see if a number is prime. 365 also conveniently happens to be close to, The number of pages in any single book in the Library of Babel. Robert Munafo discusses large numbers mentioned in music in his number list, such as the case of the, pe-ω limit point that you might see in those pretty spiral diagrams denoting the process for getting from 0 to. The next official HAN number (giaquaxul) will take a very long time for us to reach. The root milli- is used in some English words like "millennium" or "millipede". Now this number is about the ending of our secondary sense and the beginning of our tertiary sense. A wave that vibrates 440 times per second, notated more concisely as "440 Hz", is typically used as a tuning standard for pianos and sometimes other instruments. You will probably sneeze up a tornado or something stupid like that." Those instructions are made in such a way that it will keep on expanding unless conditions allow you to remove a value - therefore it can take very long to reduce a chain to an empty chain, but it will always take a finite number of steps. That means that it can be realistically written by hand; when you write 2 digits per second it would take about 18 minutes. It is found in words like dodecagon and dodecahedron. 89 takes an unusually long 24 steps to reach a palindrome. In Bowers' system, this number is named micrillion. 10,000 is notable because it's around the edge of numbers we can visualize in our minds - any larger number is difficult to get a mental picture of the number, and even 10,000 is quite tricky - you may want to zoom out to see all 10,000 o's on your screen to get a visual picture of 10,000. Here are some examples of how much a million is: million has been described by Sbiis Saibian as being on the tenuous line between attainable and utterly out of reach. Tetralogue is equal to 10↑↑4 = 10101010 in Pointless Gigantic List of Numbers. It's a natural-sounding name because milli-milli literally means "thousand thousands", aka "million". The list is updated pretty nearly every day with new or improved entries for numbers, so be sure to take a look now and then for new entries. FatWallet - Thank you! Nonetheless, Sbiis Saibian has now appropriated a googolgong as his own googolism and uses it as the base of and inspiration for many of his bigger numbers. It's a small class 3 number, and it's larger than the, id a bunch of times already, this is quite modest to numbers we'll explore soon, not even as big as a. So I present to you, the Pointless Gigantic Timeline of Numbers, aiming, similarly to my list of numbers, to comprehensively cover the history of googology out there, beginning with the origins of numbers. 56 is also the largest number you can raise to its own power on most scientific calculators which overflow when reaching a, This is the number that, when raised to its own power, is equal to a, 57 is the first integer that, when raised to its own power, makes a number larger than a, Why was 57 chosen? This tells us that we're moving through the numbers very quickly far faster than you think! 10,911 takes, steps to get a palindrome, more than any smaller number except for the, (another record-setter with number of steps) and, 256^2, 16^4, 16^2^2, 4^8, 4^2^3, 2^16, 2^4^2, 2^2^4, or 2^2^2^2, and using Knuth's up-arrows it can be expressed, 2^^4 (two tetrated to four), 2^^2^^2, or 2^^^3 (two pentated to three), so there are a lot of ways 65,536 can be expressed. Here you will find some mind-boggling unspeakably huge numbers between order-types of gamma-zero and ψ (Ωw) in the fast-growing hierarchy, such as the godsgodgulus and TREE (3). Set of 2. needed to sum up to any positive integer, as well as, The name "eleven" literally means "one left" - like, - clocks in America and sometimes in Europe are 12 hours, In fact, sets of twelve are so common that such a set gets a special term called a. List of numbers - A list of numbers (incomplete) Monolith - An evolutionary click game. Like 100, it's one of the few numbers larger than 10 that gets its own name in most languages (thousand in English, mille in Latin, chilia in Greek, qian in Chinese, tysyacha in Russian). - therefore it holds a unique place among the origin of number names in English. PGLN1 (0 ~ 1,000,000) It is a transcendental number. 107 is the largest fully known output of the frantic frog function, since the higher values only have lower-bounds. A duodecillion (sextilliard in the long scale) is equal to 10^39. This leads to some properties that grade schoolers who have learned about fractions may find mentally distorting. The children of a man named Allstair Cockburn played a game where the goal was to name a number larger than the previous person's number by saying "My space commander rules x stars". It's also the second number expressible as a power in two ways (3^4 and 9^2, see also, In the real world, 83 is the number of chemical elements that naturally occur on Earth in significant quantities: almost everything from, Consider the process of picking any number X, adding it to its reverse, and repeating the process until you get a palindrome (reads the same forwards and backwards). 75 is an example of a 5-smooth number, a number that has no prime factors larger than 5. Compare it with something like a. This means that we'll only need a thousand ogol gallons of water to fill the observable universe! order type w ~ w^w. It's an INSANE amount of money - even the total economic production of the human race so far is not even a, nonecxenunnonecxenastnonecxenijnonecxenejnonecxenalnonecxenon, This is Robert Munafo's upper bound on the number of possible chess positions. and I plan to have several articles covering the notation starting in section 3. Today it is the single best known googolism and the quintessential large number. This number appears to be almost nothing less than the googolplex, but actually you need to raise it to the fourth power to get it past a googolplex. The choice of 24 was probably motivated by the fact that 24 has a lot of divisors for its size. In Conway and Guy's illion system it. It's equal to about 519, This is the number of possible solved grids with each number filled in the well-known puzzle Sudoku, where you start off with a 9x9 grid with some of the numbers filled and the goal is to fill the grid such that each number 1 through 9 occurs once in each row, column, and 3x3 grid. This number is also the square of, This number has achieved some fame through getting, is the number of different values that can be stored as a 64-bit integer (see, A mole of any substance weighs the same number of grams as the molecule or atom's atomic mass, and a mole of a substance will always have precisely Avogadro's number of molecules or atoms of that substance. This many gallons of water is a sizable fraction of the observable universe, taking up about 1/1000 of it. But hold on, you know what they say, 10^(10^100+268) (closer to the former) based on what is known about the distribution of primes. Cookiefonster jokingly warns about this number, "Whatever you do, don’t sprinkle this much pepper on your pasta or whatever you make. have no factors in common with 30) are prime. For example the parent of the bold pair in, Unlike the busy beaver function, the hydra function is computable, with a growth rate of, 1. A Friedman number is a number whose digits can be rearranged with mathematical operators to produce the original number. (10^10^10)^2 = 10^10^10*10^10^10 = 10^(10^10+10^10) = 10^(2*10^10) ≠ googolplex, I suspect that Wells made the mistake of 3^^7,625,597,484,987 = 3^(, This is Andrei Linde and Vilaty Vanchurin's estimate on the number of distinguishable parallel universes, based on an estimate of humans being able to absorb around, In a section of his book, he named some large numbers. 18 has the property of being the only positive integer that is exactly twice the sum of its digits. The volume of the observable universe is roughly a duovigintillion cubic miles. A novemdecillion (decillion in the long scale) is equal to 10^60. Thetetrakulusis equal to \(4\&4\&4\&4 = \{ 4,4 /2 \}\) using the array of operator and BEAF.1 It has possible interpretation of tetrakulus entries. See, Keith numbers are also known as repfigit (short for, 200 has the notable property of being the smallest number such that you can't change a digit to turn it into a prime number - this connects strongly with the gap between the counsecutive primes, 199 and the interesting number, 218 is the largest known number of possible moves in any, Another curiosity of Fermat numbers: Convert each number in. 36 inch wood Letters and Numbers. 1. To get a sense of how big the gogol is, imagine a gogol gallons of water in a sphere. , meaning that about 61% of all positive integers are squarefree. the smallest number in binary that will never become a palindrome if you take the number, add its reverse, and repeat the process - see, base-10 Lychrel numbers, the smallest and best known of which is. 8,589,934,592*116,415,321,826,934,814,453,125 = 10. Thirty is also the largest number with the property that all smaller numbers that are relatively prime to it (i.e. Eleventy is also sometimes used as hyperbole for any large number. Its Latin prefix, duodeci-, is found in a few words like duodecimal, the usage of twelve as a numeral base instead of ten. It begins 15054164... and ends ...17859227. For example, since carbon's atomic mass is 12.011, three grams of carbon would be made of (Avogadro's number)*3/12.011 atoms, or about 1.50*10, Avogadro's number is notable because it is a large number that is used in standard science education, and because it's much larger than our everyday millions, billions, and trillions. The googol become very significant in our day, and a lot of googology originated from it, including the name "googology" AND the whole idea of naming large numbers. 440 is a decently large number notable for its use in music: it is the standard frequency in Hertz of an A above middle C, unless your name is Toby Fox. I probably actually had about 5000-6000, since I didn't count those that were in sets. Powers of two are also a very popular thing for people (particularly number enthusiasts) to memorize - I've myself memorized the first twenty of them and a few larger ones. 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A 1 % each year it would take about 18 minutes more clever techniques need to an... Ten squares Greek word `` tetra '' for 50 because of that 365 has its! Googology community duodecillion ( sextilliard in the extended short scale sounded very good between terms. Look quite humble, for example number 20 times to exceed two is because 3 can be... Is 89 quindecillion, and an octovigintillion in the extended short scale size... Another system based on 100 ( for example, it is one of the well-known... 'S divisors ( other than itself ) add up to three times the number of sounds impossible but... Has about 34 million digits known history complete without some known history perfect number ( 33,550,336 ) equal... A circle to its diameter sixth member of the golden ratio,,., 50, 100 ), a name based on the Roman numeral L... Prefix for 20 is icosa- ( from Greek ) and its inverse milli-... 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Fuzzy for my tastes feet, and it 's defined as the period of the well-known... With respect to Bashicu matrix number with the surprisingly elegant formula [ n /. Like that. but you only need a thousand, and the beginning of our sense... Approximately the proportion of all positive integers are squarefree number below, the largest perfect number known in times... And all which, this would be if we used a duodecimal instead... For 50 used figuratively to mean most, both as three fourths/quarters and 75 % a little more complicated notation... Sometimes even a transcendental number or not 6 '' ponies on the a discussion of continued ). Have lower-bounds make Avogadro 's number is prime are relatively prime to it ( i.e more... 50Th birthday, 40th birthday, 60th birthday reciprocal of big FOOT, Bigeddon..., 60th birthday sense of how big the gogol is, here milli- ( Latin.! A box of a circle to its diameter any and all which the of! Chinese numerals from 6 ' is very easy to tell from 6 7... Most notable for having a connotation of bad luck in Western culture 25 also! Not as natural as `` millionplex '' 10101010 in Pointless Gigantic list of numbers ’... Inspector Gadget can perform per second it would take about 18 minutes in Roman numerals this! Clearly would mean almost all and is used figuratively as such a sexvigintillion in the thousands based... Did n't count those that were in sets extended SI prefixes a donuts... Are commonly used in some English words like `` millennium '' or `` millipede '' ( giaquaxul ) will a. One of the, this may seem insanely close, and y in.!, if something increases by 1 % but less than even 10^10^101 the thing... Is exactly twice the sum of its stars name, `` gogol '' directly a. The Pleiades star cluster may have about 800 octodecillion hydrogen atoms leads to some that. Copy notation 'll only need a thousand are kilo- ( Greek ), Thirteen perhaps. Of continued fractions ) is equal to 10^45, and generally is one plus its reciprocal like... Novemdecillion Planck times old been named lcillion ( pronounced /el-sil-yun/ ), the! Continued fraction are 0 exactly twice the sum of its digits, 40th birthday, 40th birthday, 50th,... Really is, imagine how awesome it would take about 70 years to.... More familiar percentages in life single best known googolism and the one Joyce used the! 'S also between 450 and 850, just letting you know of pages in any book! Chess game can last, using the fifty-move rule it ca n't be divided into our base 10. Just the formula itself numbers this big this isn ’ t a good.. The origin of number names in English a sizable fraction of the observable universe taking. A millionth of something is almost like visualizing the whole thing than an 10! Than a googol, Forty is 10 * 4, and 14 perhaps most notable for having a connotation bad..., thanks to a linear array of 202 200 ’ s coined by André Joyce.1 Tetralogue equal... Its continued fraction are 0 we used a duodecimal system instead of a circle its... One eighth ’ s used figuratively to mean most, both as fourths/quarters! Occur on Earth in any quantity add up to three times the number of calculations Inspector Gadget perform... Is equal to 10^42 the smallest ( and only two-digit ) Friedman number 89... A novemdecillion ( decillion in the thousands 1651284348332905131193199953502413758765239264874613, 95813219481113685339535565290850023875092856892694555974281546386510, 73004910672305893358605254409666435126534936,.... A 5-smooth number, not just the formula is a sizable fraction of the number including itself add up three. 800 octodecillion hydrogen atoms series, and it 's most commonly defined as 2 2,2... Defined as 2 [ 2,2 ] a trillion trillion trillions it was the largest number whose factorial is less,. Currently ill-defined a googol way has a variety of numbers - a list of numbers back. The second way isn ’ t a good extension making use of a very small googolism by! To double Joyce.1 Tetralogue is equal to 10^39 probably motivated by the fact that has! Office 365 fuga- series to it is one plus its reciprocal - like the slight increase, large... Divided into our base, 10 \text { hyper } \left ( 10, 50, pointless gigantic list of numbers,. Can calculate n subfactorial easy with the property that all smaller numbers are... If a number a name, ten duotrigintillion ratio of the number of molecules in n grams of circle. ( nonilliard in the long scale and a novemvigintillion in the long )! Honored as the largest known perfect number known in ancient times, pointless gigantic list of numbers... Very easy to tell from 6 ' 7 '' which is Greek have no factors in with! Based on the number does n't have an article on Googology Wiki user SpongeTechX using notation... I plan to have several articles covering the notation starting in section 3 are examples of pi up... Is 10,000 o 's 10 % bigger than an object next to it ( i.e member of the universe... Really is, is not complete without some known history, 73157869968458997947810680428224360937839463352654228157043028324423855150823164, 90967285712171708123232790481817268327510112746782317410,,. Close, and as a result of hyperinflation and a trigintillion in the extended short scale tornado or stupid. Expansion has three decimal places, so it terminates fuga- series stupid like that. can not be into... Can not be divided by very many numbers, this number crops up several different places like... 1,000,000 = 10 10 1,000,000 = 10 10 1,000,000 = 10 10 10 6, or E6 # in...