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
import java.util.*;

/**
 * Created by Seiya on 2016/10/16.
 */
public class Main {
     static final long MOD = 1000000007;

    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);

        int N; // 43 47 53 59 61 67 71 73 79 83 89 97 101 103 107
        int[] sosu = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 1009};
        int[] kosu = new int[200];


        for (int i = 0; i < 200; i++) {
            kosu[i] = 0;
        }

        int i;

        N = scanner.nextInt();

        for (int j = 2; j <= N; j++) {
            i = 0;
            int temp = j;
            while (true) {
                if (temp == 1) break;
                while (true) {
                    if (temp % sosu[i] != 0) break;
                    temp /= sosu[i];
                    kosu[i]++;
                }
                i++;
            }

        }
        long ans = 1;
        for (int j = 0; j < 200; j++) {
            ans = ans * (kosu[j] + 1) % MOD;
        }

        System.out.println(ans);


    }





}


