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May 14th, 2015, 08:39 AM  #1 
Newbie Joined: May 2015 From: India Posts: 14 Thanks: 0 Math Focus: Number Theory  Number of factors of a large number
Find the number of factors of 10004000600040001

May 14th, 2015, 08:49 AM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms 
Your number is 73^4 * 137^4. The factors of the number are 73^m * 137^n with 0 <= m <= 4 and 0 <= n <= 4. How many are there in total?

May 14th, 2015, 05:07 PM  #3  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Hello, ishaanmj007! Quote:  

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