/*
   ¯\_(ツ)_/¯ code written by phamhongquan
   --------------------------------------
   /         VIETNAM REPUBLIC           /
   --------------------------------------

          ///,         ////
          \  /,       /  >.
           \  /,    _/  /.
            \_   /_/   /.
             \__/_    <
             /<<< \_\_
            /,)^>>_._  \
             (/  \ /\\
                  // ''''
                  (('
    ( ͡° ͜ʖ ͡°)⌁Vieͥτcͣoͫn🅶⌁

*/
#define taskname "SQRNUM"

#include <iostream>
#include <algorithm>
#include <cmath>
#include <fstream>

#define pb push_back
#define fs first
#define sc second

using namespace std;
using ll=long long;
using ld=long double;

const ll maxn = 1e7 + 2;
const ll mod =  1e9 + 7;
typedef pair<ll,ll> LL;

ll t, n, p;
ll limit = 1e7;
bool b[maxn];
vector<LL> nt;
void split(ll n)
{
    for(ll i = 0; nt[i].fs <= n; i++)
    {
        if(i == p) break;
        ll x = nt[i].fs;
        ll y = x;
        while(y <= n)
        {
            nt[i].sc += n/y;
            y *= x;
        }
    }
}
ll nhan(ll x,ll y)
{
    if(y == 0) return 1;
    ll t = nhan(x,y/2);
    if(y % 2 == 0) return(t%mod * t%mod)%mod;
    else return(t%mod * t%mod * x%mod)%mod;
}
int main()
{
    //freopen(taskname".INP", "r", stdin);
    //freopen(taskname".OUT", "w", stdout);
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    cout.tie(nullptr);
    for(ll i = 2; i <= limit; i++)
    {
        if(!b[i])
        {
            for(ll j = i * 2;j <= limit; j += i) b[j] = true;
        }
    }
    for(ll i = 2; i <= limit; i++)
    {
        if (!b[i]) nt.push_back(make_pair(i,0));
    }
    p = nt.size();
    cin >> t;
    for(ll i = 1; i <= t; i++)
    {
        ll res = 1;
        cin >> n;
        for(ll j = 0; j < p; j++) nt[j].sc = 0;
        split(n);
        for(ll j = 0; nt[j].fs <= n; j++)
        {
            if(j == p) break;
            res *= nhan(nt[j].fs,nt[j].sc - nt[j].sc % 2);
            res %= mod;
        }
        cout<<res % mod<<"\n";
    }
}