Since I got tired to write long problem statements, I decided to make this problem statement short. For given positive integer L, how many pairs of positive integers a, b (a ≤ b) such that LCM(a, b) = L are there? Here, LCM(a, b) stands for the least common multiple of a and b.
For each dataset, an integer L is given in a line. Input terminates when L = 0.
For each dataset, output the number of pairs of a and b.
12 9 2 0
8 3 2