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If you type this on any calculator, you will lose the last digits. These last digits are unimportant for most practical purposes. You can just type the numbers in scientific notation, for example 9.999999e17 x 1.2324e14, and get an answer that's close enough for most practical purposes.

If you want every last digit - not needed for most practical applications - you can type the factors into the Wolfram Alpha site (use the asterisk for multiplication). Or, you can get yourself a Python interpreter, and do lots of such calculations offline. Python is a programming language, but you can easily use it as a calculator - and it keeps ALL the digits in such calculations.

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Q: What is the answer to 999999900900003456 x 1232426474885756556678388?
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How can 42 stars be equally grouped in prime number groups?

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