Product of factors of number
##### Submissions: 1270   Accuracy: 23.43%   Difficulty: Basic   Marks: 1

Given a number N. The task is to find the product of all factors of N. Since the product can be very large answer it in modulo 109 + 7.

Input:
The first line of input contains an integer T denoting the number of test cases. Then T test cases follow. Each test case contains a number N as input.

Output:
For each test case, print the required product in new line.

Constraints:
1 <= T <= 500
1 <= N <= 106

Example:
Input:
2
6
12

Output:
36
1728

Explanation:
Testcase 1:
The product of factors of a given number 6 is 1*2*3*6 = 36

#### ** For More Input/Output Examples Use 'Expected Output' option **

Contributor: Arun Tyagi
Author: arun03

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