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 C++14 (GCC 5.4.1) (judge verdict: Accepted)

/*
ye mera template hai
apna khud likho bc :P
*/

/*
Author : Sarvagya Agarwal
*/

#include<bits/stdc++.h>
using namespace std;

//defines
#define openin freopen("input.txt","r",stdin)
#define openout freopen("output.txt","w",stdout)
#define fast ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0)
#define ll long long
#define int long long
#define mod 1000000007
#define repr(i,x,y) for (__typeof(x) i=x;i>=y;i--)
#define rep(i,x,y) for (__typeof(x) i=x;i<=y;i++)
#define all(c) (c).begin(),(c).end()
#define ff first
#define ss second
#define pb push_back
#define mp make_pair

/* Print pair */
template <typename T,typename S>
ostream & operator << (ostream &os , const pair<T,S> &v) {
    os << "(" ;
    os << v.first << "," << v.second << ")" ;
    return os ;
}
/* Print vector */
template <typename T>
ostream & operator << (ostream &os , const vector<T> &v) {
    os << "[" ;
    int sz = v.size() ;
    for(int i = 0 ; i < sz ; ++i) {
        os << v[i] ;
        if(i!=sz-1)os << "," ;
    }
    os << "]\n" ;
    return os ;
}
/* Print set */
template <typename T>
ostream & operator << (ostream &os , const set<T> &v) {
    T last = *v.rbegin() ;
    os << "[" ;
    for(auto it : v) {
        os << it  ;
        if(it != last) os << "," ;
    }
    os << "]\n" ;
    return os ;
}
/* Print Map */
template <typename T,typename S>
ostream & operator << (ostream &os , const map<T,S> &v) {
    for(auto it : v) {
        os << it.first << " : " << it.second << "\n" ;
    }
    return os ;
}
int power(int a , int b)
{
    int res = 1 ;
    while(b)
    {
        if(b%2) {
            res = (res * a) % mod ;
        }
        b/=2 ;
        a = (a*a) % mod ;
    }
    return res ;
}

//debug
#define TRACE

#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
		cout << name << " : " << arg1 << std::endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
		const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...);
}
#else
#define trace(...)
#endif
int cnt[1005] ;
void go(int num)
{
    for(int i = 2 ; i*i <= num ; ++i) {
        if(num % i ==0) {
            int x = 0 ;
            while(num % i == 0) {
                x++ ;
                num /= i ;
            }
            cnt[i] += x ;
        }
    }
    if(num > 1) cnt[num] += 1 ;
}
int32_t main()
{
    fast;
    int n ;
    cin >> n ;
    rep(i,1,n) go(i) ;
    int ans = 1 ;
    rep(i,1,1000)
    {
        cnt[i] %= mod ; 
        ans = (ans * (cnt[i] + 1)) ;
        ans = ans % mod ; 
    }
    cout << ans << endl ;
    return 0;
}