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Visualisation of powers of 10 from one to 1 trillion. A power of 10 is any of the integer powers of the number ten; in other words, ten multiplied by itself a certain number of times (when the power is a positive integer). By definition, the number one is a power (the zeroth power) of ten. The first few non-negative powers of ten are: 1, 10 ...
Thus, all Mersenne numbers M 4k +1 are congruent to 11 modulo 20 and end in 11, 31, 51, 71 or 91, while Mersenne numbers M 4k −1 ≡ 7 (mod 20) and end in 07, 27, 47, 67, or 87. For the perfect numbers, define P n = 2 n−1 M n be the value which is perfect if M n is prime.
If each book had a mass of 100 grams, all of them would have a total mass of 10 93 kilograms. In comparison, Earth's mass is 5.97 × 10 24 kilograms [5], the mass of the Milky Way galaxy is estimated at 1.8 × 10 42 kilograms [6], and the total mass of all the stars in the observable universe is estimated at 2 × 10 52 kg. [7]
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] It is a ratio in the order of about 10 80 to 10 90 , or at most one ten-billionth of a googol (0.00000001% of a googol).
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 ...
The Ancient Greeks used a system based on the myriad, that is, ten thousand, and their largest named number was a myriad myriad, or one hundred million. In The Sand Reckoner, Archimedes (c. 287–212 BC) devised a system of naming large numbers reaching up to ,
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