#include namespace { #pragma GCC diagnostic push #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic pop using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using mint = modint1000000007; std::vector divisors(long long x) { std::vector res1, res2; long long d = 1; for(; d * d < x; d++) { if (x % d == 0) { res1.push_back(d); res2.push_back(x / d); } } if (d * d == x) res1.push_back(d); int sz = res2.size(); res1.reserve(res1.size() + sz); for(int i = sz - 1; i >= 0; i--) res1.push_back(res2[i]); return res1; } std::vector> factorize(long long x) { std::vector> ret; for(long long p = 2; p * p <= x; p++) { int cnt = 0; while(x % p == 0) x /= p, cnt++; if (cnt) ret.emplace_back(p, cnt); } if (x > 1) ret.emplace_back(x, 1); return ret; } } int main() { ios::sync_with_stdio(false); cin.tie(0); int n; ll m; cin >> n >> m; auto divs = divisors(m); auto fs = factorize(m); int sz = divs.size(); vector dp(sz, 1); rep(_, n - 1) { for(auto [p, _]: fs) { int j = sz - 1; rrep(i, sz) if (divs[i] % p == 0) { ll x = divs[i] / p; while(divs[j] > x) j--; dp[j] += dp[i]; } } reverse(all(dp)); } mint ans = accumulate(all(dp), mint()); cout << ans.val() << '\n'; }