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.

Examples

Input

3


Output

4


Input

6


Output

30


Input

1000


Output

972926972
N=int(input())
num=1
factors=[]
for i in range(N,1,-1):
    num*=i

r=2
while num!=1:
    x=0
    while num%r==0:
        num//=r
        x+=1
    if x:
        factors.append(x)
    r+=1

result=1
for i in factors:
    result*=i+1

print(result%1000000007)