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xkcd #2835: Factorial Numbers
(imgs.xkcd.com)
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This is actually a pretty cool idea.
Not really. The reality is that the only real metric for the utility of a notation is the speed of computation. A constant positional notation system is the most efficient, then you just optimise for a base whose multiplication table can be memorised (27 is a good one). Many people are under the impression that highly composite bases are better, but the reality is that it only optimises for euclidean division which is far out weighed by multiplication and addition (and can be easily computed using them).
Well I didn't say practical or efficient, it's just a cool idea :)