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Another 100,000 observable universes filled with sand would be necessary to make a googol. [9] The decay time for a supermassive black hole of roughly 1 galaxy-mass ( 10 11 solar masses ) due to Hawking radiation is on the order of 10 100 years . [10]
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.
The first line contains the number " ͵θϡϟϛ δʹ ϛʹ ", i.e. " 9,996 + 1⁄4 + 1⁄6 ". It features each of the special numeral symbols sampi (ϡ), koppa (ϟ), and stigma (ϛ) in their minuscule forms. Greek numerals are decimal, based on powers of 10. The units from 1 to 9 are assigned to the first nine letters of the old Ionic alphabet ...
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
An alternative, the slashed zero (looking similar to the letter O except for the slash), was primarily used in hand-written coding sheets before transcription to punched cards or tape, and is also used in old-style ASCII graphic sets descended from the default typewheel on the Teletype Model 33 ASR. This form is similar to the symbol , or "∅ ...
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 .
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 ...
Definition. Beth numbers are defined by transfinite recursion : where is an ordinal and is a limit ordinal. [1] The cardinal is the cardinality of any countably infinite set such as the set of natural numbers, so that . Let be an ordinal, and be a set with cardinality . Then, is the cardinality of the power set of .