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Finding the factorial of any number

This is an interesting problem that I did to polish up my coding + analytical skills.  I required to get the factorial of any number (1 to 15 here). Because you need to handle large numbers this had to be done via a custom multiplier.

Given the first few factorials:
1! = 1
2! = 2 x 1 = 2
3! = 3 x 2 x 1 = 6
4! = 4 x 3 x 2 x 1 = 24
What is the sum of the first 15 factorials, NOT INCLUDING 0!?

Source : http://www.cstutoringcenter.com/problems/problems.php?id=1

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