Computers and Technology, 30.03.2021 02:30 parisw8

You are given a positive integer primeFactors. You are asked to construct a positive integer n that satisfies the following conditions: The number of prime factors of n (not necessarily distinct) is at most primeFactors. The number of nice divisors of n is maximized. Note that a divisor of n is nice if it is divisible by every prime factor of n. For example, if n = 12, then its prime factors are [2,2,3], then 6 and 12 are nice divisors, while 3 and 4 are not. Return the number of nice divisors of n. Since that number can be too large, return it modulo 109 + 7. Note that a prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. The prime factors of a number n is a list of prime numbers such that their product equals n.

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You are given a positive integer primeFactors. You are asked to construct a positive integer n that...

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