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: Time Limit Exceeded)

N = int(input())

# Nの階乗を計算する
factorial = [1] * (N+1)
mod = 10 ** 9 + 7
for i in range(1, N+1):
    factorial[i] = i * factorial[i - 1]
    
#print(factorial)

n = factorial[-1]
#print(n)

ans =0

# 割り切れる数を探す。
for i in range(1, n+1):
    if n%i ==0:
        ans +=1

print(ans)