By starting at the top of the triangle below and moving to adjacent numbers on the row below, the maximum total from top to bottom is 23.

You are given the following information, but you may prefer to do some research for yourself.

Find the sum of the digits in the number 100!

Let d(n) be defined as the sum of proper divisors of n (numbers less than n which divide evenly into n).

Using names.txt (right click and ‘Save Link/Target As…’), a 46K text file containing over five-thousand first names, begin by sorting it into alphabetical order. Then working out the alphabetical value for each name, multiply this value by its alphabetical position in the list to obtain a name score.