# Cantor Expansion

Instead of using a base number, like binary or decimal, you can us
e factorials to represent a number. This is called Cantor expansio
n.

10 = 1*3! + 2*2!
17 = 2*3! + 2*2! + 1*1!

n = sum{a_i * i!} where i=1,2,..., 0 <= a_i <= i.

Isn't it interesting? I found it on my first number theory book wh
en I was in high school.