Yes. But it isn't a number commonly used.
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A googlplex is 1 with a googol zeros after it. A googol is 10 to the power of 100.
Yes. It's defined as 10 raised to the (googol) power. ('Googol' is 10100.)
No number can satisfy these conditions: To have a remainder of 1 when divided by 6, the number must be odd (as all multiples of 6 are even and an even number plus 1 is odd) To have a remainder of 2 when divided by 8, the number must be even (as all multiples of 8 are even and an even number plus 2 is even) No number is both odd and even. → No number exists that has a remainder of 1 when divided by 6, and 2 when divided by 8.
No such number exists.
Infinity is any number greater than a number that already exists Infinity is any number greater than a number that already exists