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111111111111
Yes. It can be written as 111111111111/1000000000, which doesn't simplify. Ugly, but it works.
The largest number is 11111111111111 which is 215 - 1. In decimal, that is 32767.
yes, 1/9 is a rational number, also written as .11111111111111...Even though the decimal expansion is infinite, it is also a recognizable pattern, and hence rational.
4095 For anything more complex I would use the standard 'calculator' provided with Windows, click on 'View' then 'Scientific'. The radio buttons let you select Decimal, Hex, Octal or Binary for the currently displayed number.