Easy Divisor Problem

For a positive integer $x$, let $\tau(x)$ denote the number of positive divisors of $x$.

You are given a positive integer $N$. Compute

The value can be very large, so print $D(N)$ modulo $998\,244\,353$.

The input is given from Standard Input in the following format:

$T$ $\mathrm{case}_1$ $\mathrm{case}_2$ $\vdots$ $\mathrm{case}_T$

Each case is given in the following format:

$N$

For each test case, print the remainder of $D(N)$ modulo $998\,244\,353$ on one line.

• $1 \leq T \leq 10$.
• $1 \leq N \leq 10^{18}$.