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I.e., if a number x is too large for a representation () the power tower can be made one higher, replacing x by log 10 x, or find x from the lower-tower representation of the log 10 of the whole number. If the power tower would contain one or more numbers different from 10, the two approaches would lead to different results, corresponding to ...
This is generally used to denote powers of 10. Where n is positive, this indicates the number of zeros after the number, and where the n is negative, this indicates the number of decimal places before the number. As an example: 10 5 = 100,000 [1] 10 −5 = 0.00001 [2]
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. [7] Therefore, the heat death of an expanding universe is lower-bounded to occur at least one googol years in the future. A googol is considerably smaller than a centillion. [8]
Mathematics – Answer to the wheat and chessboard problem: When doubling the grains of wheat on each successive square of a chessboard, beginning with one grain of wheat on the first square, the final number of grains of wheat on all 64 squares of the chessboard when added up is 2 64 −1 = 18,446,744,073,709,551,615 (≈1.84 × 10 19).
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.
An imaginary number is the product of a real number and the imaginary unit i, [note 1] which is defined by its property i 2 = −1. [1] [2] The square of an imaginary number bi is −b 2. For example, 5i is an imaginary number, and its square is −25. The number zero is considered to be both real and imaginary. [3]
In mathematics, the Selberg conjecture, named after Atle Selberg, is a theorem about the density of zeros of the Riemann zeta function ζ(1/2 + it).It is known that the function has infinitely many zeroes on this line in the complex plane: the point at issue is how densely they are clustered.