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.
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.
For each test case, print the required product in new line.
1 <= T <= 500
1 <= N <= 106
Testcase 1: The product of factors of a given number 6 is 1*2*3*6 = 36
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