Formations

Ivan Petrovich teaches physical education at school, but is also interested in mathematics, mainly from a practical point of view. For example, he wonders how many different formations exist for a group of $N$ people. Ivan Petrovich found that if $N$ is a prime number, there are only $2$ possible formations: one in a column (1\times N) and one in a row (N\times 1). These trivial formations are possible for any N > 1 (for N = 1, there is only one formation 1\times 1, which is neither a row nor a column). If $N$ is a composite number, there are other non-trivial formations as well. For example, for $100$ people, there are nine possible formations: 1\times 100, 2\times 50, 4\times 25, 5\times 20, 10\times 10, 20\times 5, 25\times 4, 50\times 2, and 100\times 1.

Write a program that finds the number of different formations for a group of $N$ people.