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Therefore, it requires 10 94 such books to print all the zeros of a googolplex (that is, printing a googol zeros). [4] 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 ...
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).
10,000,019 = smallest 8-digit prime number; 10,001,628 = smallest triangular number with 8 digits and the 4,472nd triangular number; 10,004,569 = 3163 2, the smallest 8-digit square
For higher powers of ten, naming diverges. The Indian system uses names for every second power of ten: lakh (10 5), crore (10 7), arab (10 9), kharab (10 11), etc. In the two Western systems, long and short scales, there are names for every third power of ten. The short scale uses million (10 6), billion (10 9), trillion (10 12), etc.
For example, "one million" is clearly definite, but "a million" could be used to mean either a definite (she has a million followers now) or an indefinite value (she signed what felt like a million papers). The title The Book of One Thousand and One Nights (lit. "a thousand nights and one night") impiles a large number of nights. [22]
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The Riemann zeta function ζ(s) is a function whose arguments may be any complex number other than 1, and whose values are also complex. Its analytical continuation has zeros at the negative even integers; that is, ζ(s) = 0 when s is one of −2, −4, −6, .... These are called its trivial zeros.
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