A factorion is a positive integer with the following cute property. When written in

Chapter 9, Problem 9.12

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A factorion is a positive integer with the following cute property. When written in ordinary base-10, it equals the sum of the factorials of its digits. For example, 145 is a factorion because 1 C 4 C 5 D 1 C 24 C 120 D 145: The numbers 1 and 2 are also factorions (because 1 D 1 and 2 D 2). There is only one other factorion; find it! We know of no nice pencil and paper solution to this problem. Youre best off solving this with the help of a computer program.

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