My sons were playing the classic "which number is bigger" game the other day, and the difference between a googol and a googolplex came up. When you say it out loud ("a googol is a one followed by a hundred zeros, and a googolplex is a one followed by a googol zeros"), it doesn't necessarily sound like the numbers are that different. In reality, however, the numbers are massively, exponentially far apart from each other.
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To illustrate just how vast this difference is, let's take a moment to break it down with some more familiar numbers. Imagine comparing something like a million to a billion. A million seconds is about 11.5 days, while a billion seconds is nearly 32 years. Now, multiply that sense of scale by an unimaginable factor, and you're starting to get the idea.
#googol #BigNumbers #infinity
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