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Converts a given integer into a cardinal number or ordinal number in the English language. Anything between 10 126 and -10 126 is supported, as well as some larger numbers such as one centillion and one millinillion.
Kasner used it to illustrate the difference between an unimaginably large number and infinity, and in this role it is sometimes used in teaching mathematics. To put in perspective the size of a googol, the mass of an electron, just under 10 −30 kg, can be compared to the mass of the visible universe, estimated at between 10 50 and 10 60 kg. [ 5 ]
For example, class 5 is defined to include numbers between 10 10 10 10 6 and 10 10 10 10 10 6, which are numbers where X becomes humanly indistinguishable from X 2 [14] (taking iterated logarithms of such X yields indistinguishibility firstly between log(X) and 2log(X), secondly between log(log(X)) and 1+log(log(X)), and finally an extremely ...
Nevertheless, large numbers have an intellectual fascination and are of mathematical interest, and giving them names is one way people try to conceptualize and understand them. One of the earliest examples of this is The Sand Reckoner, in which Archimedes gave a system for naming large numbers.
A number that has the same number of digits as the number of digits in its prime factorization, including exponents but excluding exponents equal to 1. A046758 Extravagant numbers
Sagan gave an example that if the entire volume of the observable universe is filled with fine dust particles roughly 1.5 micrometers in size (0.0015 millimeters), then the number of different combinations in which the particles could be arranged and numbered would be about one googolplex.
Following are examples. Some words that have a precise numerical definition can be used indefinitely. For example: couple (2), [21] dozen (12), score (20); myriad (10,000). When a quantity word is prefixed with an indefinite article then it is sometimes intended or interpreted to be indefinite. For example, "one million" is clearly definite ...
In mathematics, a lattice word (or lattice permutation) is a string composed of positive integers, in which every prefix contains at least as many positive integers i as integers i + 1. A reverse lattice word , or Yamanouchi word (named after Takahiko Yamanouchi ), is a string whose reversal is a lattice word.