the problem ...

https://mirror.codeforces.com/group/H10hR2t6Sj/contest/338701/problem/J

Let M be a positive integer.

Let f(M) be the number of positive divisors of an integer M.

For example f(12)=6 and they are 1,2,3,4,6,12.

Let g(M) be The summation of number of divisors of the divisors of an integer M.

Mathematically we can say g(M)=∑i|Mf(i), where | means divides.

For example, g(12)=f(1)+f(2)+f(3)+f(4)+f(6)+f(12)=1+2+2+3+4+6=18.

You are given an integer n, Calculate g(n!).

* While ..( 1 ≤ n ≤ 1e6 ).*****

How i can solve this Problem ?