#include #include using namespace std; using mint = atcoder::modint1000000007; void fast_io() { ios_base::sync_with_stdio(false); cin.tie(nullptr); } mint calc(int n, int cnt) { vector> dp(n, vector(cnt + 1)); for (int i = 0; i <= cnt; i++) { dp[0][i] = 1; } for (int i = 1; i < n; i++) { for (int j = 0; j <= cnt; j++) { for (int k = 0; k <= cnt; k++) { if (j + k <= cnt) { dp[i][k] += dp[i - 1][j]; } } } } mint res = 0; for (int i = 0; i <= cnt; i++) { res += dp[n - 1][i]; } return res; } int main() { fast_io(); int n; long long m; cin >> n >> m; mint ans = 1; for (long long i = 2; i * i <= m; i++) { if (m % i == 0) { int cnt = 0; while (m % i == 0) { m /= i; cnt++; } ans *= calc(n, cnt); } } if (m > 1) { ans *= calc(n, 1); } cout << ans.val() << endl; }