The number 2005 has 2 prime factors. How many positive factors exist for 2005^2005?

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The number 2005 has 2 prime factors. How many positive factors exist for 2005^2005?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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2005^2005 = 2005*2005*2005...2005 times And 2005 has 2 prime factors Thus 2005^2005 will have 2*2005 prime factors! = 4010 factors!
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