#include using namespace std; #define rep(i,n) for(int i = 0; i < (int)n; i++) #define FOR(n) for(int i = 0; i < (int)n; i++) #define repi(i,a,b) for(int i = (int)a; i < (int)b; i++) #define pb push_back #define m0(x) memset(x,0,sizeof(x)) #define fill(x,y) memset(x,y,sizeof(x)) #define bg begin() #define ed end() #define all(x) x.bg,x.ed //#define mp make_pair #define vi vector #define vvi vector #define vll vector #define vvll vector #define vs vector #define vvs vector #define vc vector #define vvc vector #define pii pair #define pllll pair #define vpii vector> #define vpllll vector> #define vpis vector> #define vplls vector> #define vpsi vector> #define vpsll vector> template void chmax(T &a, const T &b) {a = (a > b? a : b);} template void chmin(T &a, const T &b) {a = (a < b? a : b);} using ll = long long; using ld = long double; using ull = unsigned long long; const ll INF = numeric_limits::max() / 2; const ld pi = 3.1415926535897932384626433832795028; const ll mod = 1e9 + 7; int dx[] = {-1, 0, 1, 0, -1, -1, 1, 1}; int dy[] = {0, -1, 0, 1, -1, 1, -1, 1}; #define int long long vector > prime_factorize(long long N) { vector > res; for (long long a = 2; a * a <= N; ++a) { if (N % a != 0) continue; long long ex = 0; // 指数 // 割れる限り割り続ける while (N % a == 0) { ++ex; N /= a; } // その結果を push res.push_back({a, ex}); } // 最後に残った数について if (N != 1) res.push_back({N, 1}); return res; } void solve() { int n, m; cin >> n >> m; vpii p = prime_factorize(m); int ans = 1; for(auto e : p) { int sz = e.second; vvi dp(n, vi(sz+1, 0)); rep(j, sz+1) dp[0][j] = 1; rep(i, n-1) { rep(j, sz+1) { rep(k, sz+1-j) { dp[i + 1][j] += dp[i][k]; dp[i + 1][j] %= mod; } } // int s = 0; // rep(j, sz+1) { // s += dp[i][sz-j]; // s %= mod; // dp[i+1][j] = s; // } } int sum = 0; rep(j, sz+1) (sum += dp[n-1][j]) %= mod; (ans *= sum) %= mod; } cout << ans << endl; } signed main() { cin.tie(nullptr); ios::sync_with_stdio(false); solve(); return 0; }