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The Rayo function of a natural number , notated as (), is the smallest number bigger than every finite number with the following property: there is a formula () in the language of first-order set-theory (as presented in the definition of ) with less than symbols and as its only free variable such that: (a) there is a variable assignment assigning to such that ([()],), and (b) for any variable ...
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 ]
The number of cells in the human body (estimated at 3.72 × 10 13), or 37.2 trillion [3] The number of bits on a computer hard disk (as of 2024, typically about 10 13, 1–2 TB), or 10 trillion; The number of neuronal connections in the human brain (estimated at 10 14), or 100 trillion
The aleph numbers differ from the infinity (∞) commonly found in algebra and calculus, in that the alephs measure the sizes of sets, while infinity is commonly defined either as an extreme limit of the real number line (applied to a function or sequence that "diverges to infinity" or "increases without bound"), or as an extreme point of the ...
Graham's number is an immense number that arose as an upper bound on the answer of a problem in the mathematical field of Ramsey theory.It is much larger than many other large numbers such as Skewes's number and Moser's number, both of which are in turn much larger than a googolplex.
The highest numerical value banknote ever printed was a note for 1 sextillion pengő (10 21 or 1 milliard bilpengő as printed) printed in Hungary in 1946. In 2009, Zimbabwe printed a 100 trillion (10 14 ) Zimbabwean dollar note, which at the time of printing was worth about US$30. [ 13 ]
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. By Euclid's theorem , there are an infinite number of prime numbers. Subsets of the prime numbers may be generated with various formulas for primes .