Language: C++

#define debug_interval ','
#define dump_interval ' '
#define debug_toggle 1
//{
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define INT_MAX LLONG_MAX
#define rep(i,n) for(int i=0;i<(n);i++)
#define rep1(i,n) for(int i=1;i<=(n);i++)
#define pb push_back
#define all(v) (v).begin(),(v).end()
#define rall(v) (v).rbegin(),(v).rend()
#define fi first
#define se second
#define mp make_pair
#define rev reverse
#define dans dump(ans)
#define MOD 1000000007
 
//{
inline int toInt(string s){int v;istringstream sin(s);sin>>v;return v;}
template<class T> inline string toString(T x){ostringstream sout;sout<<x;return sout.str();}
template<class...A> inline void dump(){cout<<endl;}
template<class...A> inline void dump_rest() {cout<<endl;}
template<class T, class...A> inline void dump_rest(const T& first, const A&... rest){cout<<dump_interval<<first;dump_rest(rest...);}
template<class T,class...A> inline void dump(const T&first,const A&...rest){cout<<first;dump_rest(rest...);}
template<class...A> inline void debug(){cerr<<endl;}
template<class...A> inline void debug_rest() {cerr<<endl;}
template<class T, class...A> inline void debug_rest(const T& first, const A&... rest){cerr<<debug_interval<<first;debug_rest(rest...);}
template<class T,class...A> inline void debug(const T&first,const A&...rest){if(debug_toggle)cerr<<first,debug_rest(rest...);}
//}

typedef vector<int>vint;
typedef pair<int,int>pint;
typedef vector<pint>vpint;

template<typename A,typename B>inline void chmin(A &a,B b){if(a>b)a=b;}
template<typename A,typename B>inline void chmax(A &a,B b){if(a<b)a=b;}
template<int m>class mint{private:int i;public:mint() : i(0){}mint(int i): i((i%m+m)%m){}mint operator+(const mint& o){return o.i+i;}mint operator*(const mint& o){return o.i*i;}mint operator-(){return -i;}operator int() {return i;}};

//}

int n,m,ans=1;
vector<int> a;//何回割れたか
int fac[111111],finv[111111],inv[111111];

void COMinit(){
	fac[0]=fac[1]=1;
	finv[0]=finv[1]=1;
	inv[1]=1;
	for(int i=2;i<111111;i++){
		fac[i]=fac[i-1]*i%MOD;
		inv[i]=MOD-inv[MOD%i]*(MOD/i)%MOD;
		finv[i]=finv[i-1]*inv[i]%MOD;
	}
}

int COM(int n,int k){
	if(n<k)return 0;
	if(n<0||k<0)return 0;
	return fac[n]*(finv[k]*finv[n-k]%MOD)%MOD;
}

void solve(){
	int cm=m,bi;
	for(int i=2;i*i<=m;i++){
		if(cm%i==0){
			int tmp=0;
			for(;cm%i==0;){
				cm/=i;
				tmp++;
			}
			//cout<<tmp<<endl;
			a.pb(tmp);
		}
      bi=i;
	}
  if(cm!=1)((bi==cm)?(a.back()++):(a.pb(1)));
	for(int x:a){
		ans*=COM(n+x-1,x)%MOD;
	}
}

main(){
	COMinit();
	//rep(i,11111)cout<<fac[i]<<endl;
	cin>>n>>m;
	solve();
	//cout<<COM(4,2)<<endl;
	cout<<ans%MOD<<endl;
}


Compiler output:
a.cc:8:9: warning: "INT_MAX" redefined
    8 | #define INT_MAX LLONG_MAX
      |         ^~~~~~~
In file included from /usr/include/c++/14/climits:42,
                 from /usr/include/x86_64-linux-gnu/c++/14/bits/stdc++.h:38,
                 from a.cc:5:
/usr/lib/gcc/x86_64-linux-gnu/14/include/limits.h:120:9: note: this is the location of the previous definition
  120 | #define INT_MAX __INT_MAX__
      |         ^~~~~~~
a.cc: In function 'void solve()':
a.cc:79:31: error: third operand to the conditional operator is of type 'void', but the second operand is neither a throw-expression nor of type 'void'
   79 |   if(cm!=1)((bi==cm)?(a.back()++):(a.pb(1)));
      |                      ~~~~~~~~~^~~
a.cc: At global scope:
a.cc:85:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   85 | main(){
      | ^~~~