SP22403 DIVFACT - Divisors of factorial

Description

Given a number, find the total number of divisors of the factorial of the number. Since the answer can be very large, print answer **modulo** 10 $ ^{9} $ +7.

Input Format

The first line contains T, number of testcases. T lines follows each containing the number N.

Output Format

Print T lines of output each containing the answer.