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$N$ has $3$ prime factors. $N^2$ has $7!!$ positive divisors. $N^3$ has $10!!!$ positive divisors. $\text{\_\_\_\_}$ has $13!!!!$ positive divisors.

$N$ has $3$ prime factors.

$N^2$ has $7!!$ positive divisors.

$N^3$ has $10!!!$ positive divisors.

$\text{\_\_\_\_}$ has $13!!!!$ positive divisors.

Note: You might want to read up the definition of multifactorials first.

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