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The largest named number that is commonly known is a googolplex. A googol is 10^100 (a one with 100 zeros after it) and a googolplex is 10^googol.
Under the traditional naming system of million, billion, trillion, the largest named number is Centillion, which is 10^303 (a one with 303 zeros after it). The largest denomination banknote ever printed was for 1 sextillion (10^21).
In science, some large numbers used are Avogadro's number (6.022 x 10^23), which defines the number of molecules in a mole; Graham's number (unimaginably large), which is the upper bound of connections between vertices of hypercubes.
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What is the highest number that is not infinite?
There is no highest number
What is the eighth highest composite number?
There is no highest number, highest prime number, or highest composite number. Therefore, there can't be a second-highest, third-highest, etc., of any of these types of numbers, either.
What is the highest number recorded yet?
There is an infinite number of possibilities to the highest number.
What is the highest square number?
There is no highest square number. If there was such a number then that number squared would be a higher square number!
What is the highest factor you can get?
The highest factor of any number is the number itself.
