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What is 4^1000?

I read this reddit-post, and the number 4^1000 made me curious. The calculator told me it was "infinity"

Link: https://www.reddit.com/r/tifu/comments/41l7qn/tifu_by_accidentally_creating_33_million_folders/

 Jan 19, 2016
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4^1000=1.148130 X 10^602. This calculator CANNOT handle big numbers like this one. So, it gives the answer as "infinity", which is meaningless.

 Jan 19, 2016

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