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

• $1 \leq N \leq 10^3$

Input

The input is given from Standard Input in the following format:

$N$

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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