文理学院程序设计在线练习


Divisors

Time Limit: 1 Second(s)    Memory Limit: 32 MB

Total Submission(s): 37   Accepted Submission(s): 16
Problem Description

We know n! is the factorial of n, now we would like to know how many positive divisors does the factorial of n has.

Input

The first line contain a integer T (T<=10) represents the test case
For each test there is a number n (n<=50000) mentioned in description

Output

For each test output the number of divisors (pls mod 1e9+7).

Sample Input
2
8
20
Sample Output
96
41040
Source

2018绍兴市联赛