Problem:
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:

N

Output

Print the number of the positive divisors of N!, modulo 10^9+7.

Sample Input 1

3

Sample Output 1

4

There are four divisors of 3! =6: 1, 2, 3 and 6. Thus, the output should be 4.

Sample Input 2

6

Sample Output 2

30

Sample Input 3

1000

Sample Output 3

972926972

Solution in Python (3.4.3) (judge verdict: Runtime Error)

import math

# nの約数を全て求める
lim = 10 ** 9 + 7

n = int(input())
fact = math.factorial(n)
check = [0] * (fact + 1)
for i in range(1, fact + 1):
    if (fact % i == 0):
        check[i] = 1

ans = sum(check)
ans %= lim
print(ans)