#AT1043. C - Factors of Factorial
C - Factors of Factorial
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C - Factors of Factorial
Score : $300$ points
Problem Statement
You are given an integer $N$. Find the number of the positive divisors of $N!$, modulo $10^9+7$.
Constraints
- $1≤N≤10^3$
Input
The input is given from Standard Input in the following format:
Output
Print the number of the positive divisors of $N!$, modulo $10^9+7$.
3
4
There are four divisors of $3!$ $=6$: $1$, $2$, $3$ and $6$. Thus, the output should be $4$.
6
30
1000
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