Statement:

Litle Felix Fuente a.k.a FF wants to solve his math assignment. His teacher has taught him that a number *n* has *d _{1}, d_{2}, d_{3}, ..., d_{i}* divisors (1 and itself included). If

*p = d*, help FF find the total number of divisors of

_{1}* d_{2}* d_{3}* ... * d_{i}*p*.

Input:

Several lines but no more than 120. Each line of input contains an integer

*n*(*1 <= n <= 10*). The input ends with a line containing^{7}*0*.

Output:

For each input line output the number of divisors of

*p*.Example input:

1 2 3 4 0

Example output:

1 2 2 4

Time and memory limit:

- 1s
- 64MB

**Problem source:** Caribbean Online Judge