CodeEff/ECCO huggingface dataset:
# Original solution
def comb(a, b):
    b = min(b, a - b)

    res = 1
    for i in range(b):
        res *= (a - i)
        res %= MOD

    for div in range(1, b + 1):
        res = res * pow(div, MOD - 2, MOD) % MOD
    return res


def prime_factorization(x):
    res = []
    i = 2
    left = x + 0
    while True:
        if (i * i > x) and (left == 1):
            break
        cnt = 0
        while left % i == 0:
            left /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        # print(i, res)
        i += 1
    return res


n, m = list(map(int, input().split()))

MOD = 10 ** 9 + 7

ans = 1
for power in prime_factorization(m):
    ans *= comb(n - 1 + power, power)
    ans %= MOD

print(ans)

# Optimized solution
MOD = 10 ** 9 + 7


def prime_factorization(n):
    i = 2
    res = []
    while i * i <= n:
        cnt = 0
        while n % i == 0:
            n /= i
            cnt += 1
        if cnt > 0:
            res.append(cnt)
        i += 1
    if n > 1:
        res.append(1)
    return res


def comb(a, b):
    b = min(b, a - b)
    if b < 0:
        return 0
    elif b == 0:
        return 1
    elif b == 1:
        return a
    else:
        return (a % MOD) * pow(b, MOD - 2, MOD) % MOD * comb(a - 1, b - 1) % MOD


N, M = list(map(int, input().split()))

ans = 1
for power in prime_factorization(M):
    ans *= comb(N - 1 + power, power)
    ans %= MOD

print(ans)
# Original solution
class Calc:
    def __init__(self, max_value, mod):
        """combination(max_value, all)"""
        fact = [-1] * (max_value + 1)
        fact[0] = 1
        fact[1] = 1
        for x in range(2, max_value + 1):
            fact[x] = x * fact[x - 1] % mod

        invs = [1] * (max_value + 1)
        invs[max_value] = pow(fact[max_value], mod - 2, mod)
        for x in range(max_value - 1, 0, -1):
            invs[x] = invs[x + 1] * (x + 1) % mod

        self.fact = fact
        self.invs = invs
        self.mod = mod

    def combination(self, n, r):
        if n - r < r:
            return self.combination(n, n - r)
        if r < 0:
            return 0
        if r == 0:
            return 1
        if r == 1:
            return n
        return self.fact[n] * self.invs[r] * self.invs[n - r] % self.mod


def main():
    MOD = 10 ** 9 + 7

    N, M = list(map(int, input().split()))

    def decom(n) -> list:
        ret = []

        d = 2
        cnt = 0
        while n % d == 0:
            n //= d
            cnt += 1
        ret.append((d, cnt))

        d = 3
        while n > 1:
            cnt = 0
            while n % d == 0:
                n //= d
                cnt += 1
            ret.append((d, cnt))
            d += 1

        return ret

    dlis = decom(M)

    cal = Calc(max_value=N + 30, mod=MOD)

    ans = 1
    for _, cnt in dlis:
        ans = (ans * cal.combination(N + cnt - 1, cnt)) % MOD
    print(ans)


if __name__ == '__main__':
    main()


# Optimized solution
class Calc:
    def __init__(self, max_value, mod):
        """combination(max_value, all)"""
        fact = [-1] * (max_value + 1)
        fact[0] = 1
        fact[1] = 1
        for x in range(2, max_value + 1):
            fact[x] = x * fact[x - 1] % mod

        invs = [1] * (max_value + 1)
        invs[max_value] = pow(fact[max_value], mod - 2, mod)
        for x in range(max_value - 1, 0, -1):
            invs[x] = invs[x + 1] * (x + 1) % mod

        self.fact = fact
        self.invs = invs
        self.mod = mod

    def combination(self, n, r):
        if n - r < r:
            return self.combination(n, n - r)
        if r < 0:
            return 0
        if r == 0:
            return 1
        if r == 1:
            return n
        return self.fact[n] * self.invs[r] * self.invs[n - r] % self.mod


def main():
    MOD = 10 ** 9 + 7

    N, M = list(map(int, input().split()))

    def decom(n) -> list:
        ret = []

        d = 2
        cnt = 0
        while n % d == 0:
            n //= d
            cnt += 1
        ret.append(cnt)

        d = 3
        while n > 1:
            cnt = 0
            while n % d == 0:
                n //= d
                cnt += 1
            ret.append(cnt)
            d += 2

        return ret

    dlis = decom(M)

    cal = Calc(max_value=N + 30, mod=MOD)

    ans = 1
    for cnt in dlis:
        ans = (ans * cal.combination(N + cnt - 1, cnt)) % MOD
    print(ans)


if __name__ == '__main__':
    main()
# Original solution
class Calc:
    def __init__(self, max_value, mod):
        """combination(max_value, all)"""
        fact = [-1] * (max_value + 1)
        fact[0] = 1
        fact[1] = 1
        for x in range(2, max_value + 1):
            fact[x] = x * fact[x - 1] % mod

        invs = [1] * (max_value + 1)
        invs[max_value] = pow(fact[max_value], mod - 2, mod)
        for x in range(max_value - 1, 0, -1):
            invs[x] = invs[x + 1] * (x + 1) % mod

        self.fact = fact
        self.invs = invs
        self.mod = mod

    def combination(self, n, r):
        if n - r < r:
            return self.combination(n, n - r)
        if r < 0:
            return 0
        if r == 0:
            return 1
        if r == 1:
            return n
        return self.fact[n] * self.invs[r] * self.invs[n - r] % self.mod


def gen(n):
    x = n
    d = 2
    cnt = 0
    while x % d == 0:
        x //= d
        cnt += 1
    yield cnt

    d = 3
    ma = d * d
    while ma <= n:
        cnt = 0
        while x % d == 0:
            x //= d
            cnt += 1
        yield cnt
        ma += d * 4 + 4
        d += 2

    if x > 1:
        yield 1


def main():
    MOD = 10 ** 9 + 7

    N, M = list(map(int, input().split()))

    cal = Calc(max_value=N + 30, mod=MOD)

    ans = 1
    for cnt in gen(M):
        ans = (ans * cal.combination(N + cnt - 1, cnt)) % MOD
    print(ans)


if __name__ == '__main__':
    main()


# Optimized solution
def gen(n):
    x = n
    d = 2
    cnt = 0
    while x % d == 0:
        x //= d
        cnt += 1
    yield cnt

    d = 3
    while d * d <= n:
        cnt = 0
        while x % d == 0:
            x //= d
            cnt += 1
        yield cnt
        d += 2

    if x > 1:
        yield 1


def main():
    MOD = 10 ** 9 + 7

    N, M = list(map(int, input().split()))

    ans = 1
    for cnt in gen(M):
        for d in range(cnt):
            ans = (ans * (N - 1 + cnt - d) % MOD) * pow(d + 1, MOD - 2, MOD) % MOD
            
    print(ans)


if __name__ == '__main__':
    main()
# Original solution
class Solution:

    def solve(self, N: int, M: int) -> int:

        mod = 10**9+7
        INT_MAX = 10**7

        # calculate {m+n}C{n}

        def egcd(a, b):
            if a == 0:
                return b, 0, 1
            else:
                g, y, x = egcd(b % a, a)
                return g, x - (b // a) * y, y

        def modinv(a, m):
            g, x, y = egcd(a, m)
            if g != 1:
                raise Exception('modular inverse does not exist')
            else:
                return x % m

        def combination(n: int, r: int, mod: int = 10**9+7) -> int:
            r = min(r, n-r)
            res = 1
            for i in range(r):
                res = res * (n-i) * modinv(i+1, mod) % mod
            return res

        # prime list

        isPrime = [True] * (INT_MAX + 1)
        isPrime[0], isPrime[1] = False, False
        primes = []

        for i in range(2, len(isPrime)):
            if isPrime[i] == True:
                primes.append(i)
                for j in range(2 * i, len(isPrime), i):
                    isPrime[j] = False

        # solve

        m = M
        answer = 1
        factors = {}
        while m > 1:
            for p in primes:
                factors[p] = 0

                while m % p == 0:
                    m //= p
                    factors[p] += 1

                if factors[p] > 0:
                    answer *= combination(N + factors[p] - 1, N - 1, mod=mod)
                    answer %= mod

        return answer


if __name__ == '__main__':

    # standard input
    N, M = list(map(int, input().split()))

    # solve
    solution = Solution()
    print((solution.solve(N, M)))


# Optimized solution
import math


class Solution:

    def solve(self, N: int, M: int) -> int:

        mod = 10**9+7
        INT_MAX = 10**9

        # calculate {m+n}C{n}

        def egcd(a, b):
            if a == 0:
                return b, 0, 1
            else:
                g, y, x = egcd(b % a, a)
                return g, x - (b // a) * y, y

        def modinv(a, m):
            g, x, y = egcd(a, m)
            if g != 1:
                raise Exception('modular inverse does not exist')
            else:
                return x % m

        def combination(n: int, r: int, mod: int = 10**9+7) -> int:
            r = min(r, n-r)
            res = 1
            for i in range(r):
                res = res * (n-i) * modinv(i+1, mod) % mod
            return res

        # solve

        m = M
        answer = 1
        factors = {}
        for i in range(2, int(math.sqrt(M))+1):
            factor = 0
            while m % i == 0:
                m //= i
                factor += 1

            if factor > 0:
                answer *= combination(N + factor - 1, N - 1, mod=mod)
                answer %= mod

        if m > 1:
            answer *= N
            answer %= mod

        return answer


if __name__ == '__main__':

    # standard input
    N, M = list(map(int, input().split()))

    # solve
    solution = Solution()
    print((solution.solve(N, M)))
# Original solution
import collections,math,sys
def LI(): return list(map(int,sys.stdin.readline().rstrip().split()))
N,M = LI()
ans = 1
def prime_factor(num):
    prime_factor = collections.defaultdict(int)
    for i in range(2,int(num**0.5)+1):
        while num%i==0:
            prime_factor[i] += 1
            num //= i
    if num>1:
        prime_factor[num]=1
    return prime_factor
for v in list(prime_factor(M).values()):
    ans *= math.factorial(v+N-1)//math.factorial(v)//math.factorial(N-1)
    ans %= 10**9+7
print(ans)

# Optimized solution
import collections,sys
def LI(): return list(map(int,sys.stdin.readline().rstrip().split()))
N,M = LI()
ans = 1
def prime_factor(num):
    prime_factor = collections.defaultdict(int)
    for i in range(2,int(num**0.5)+1):
        while num%i==0:
            prime_factor[i] += 1
            num //= i
    if num>1:
        prime_factor[num]=1
    return prime_factor
def nCr(n,r,mod):
    comb_count = 1
    for i in range(r):
        comb_count *= n-i
        comb_count %= mod
    for j in range(1,r+1):
        comb_count *= pow(j,mod-2,mod)
        comb_count %= mod
    return comb_count
for v in list(prime_factor(M).values()):
    ans *= nCr(v+N-1,v,10**9+7)
    ans %= 10**9+7
print(ans)
# Original solution
#How many ways M=a1*a2*...*aN ex)N=2,M=6 a={1,6},{2,3},{3,2},{6,1}
import math
n,m=list(map(int,input().split()))
factor=[]
c=0
mod=10**9+7

#Prime Factorization [number,times]
while m%2 == 0:
    m//=2
    c+=1
if c != 0:
    factor.append([2,c])
#Alternate
for i in range(3,m+1,2):
    c=0
    while m%i == 0:
        m//=i
        c+=1
    if c != 0:
        #print(i,c)
        factor.append([i,c])
    if m == 1:
        break
    if i*i>=m:  # m is prime
        factor.append([m,1])
        break
        
#print(factor)

def C(n,k):
    ans=1
    for s in range(1,k+1):
        ans*=n
        ans//=s
        n-=1
    return ans

def funcount(length,rest):
    a=0
    if length==1:
        #print(rest)
        return 1
    elif rest <= 1:
        #print("not",rest)
        return 0
    else:
        for i in range(1,rest):
            #print(i,end=" ")
            a+=funcount(length-1,rest-i)
        return a


way=1
for f in factor:
    sum=0
    for k in range(1,f[1]+1):
        sum+=funcount(k,f[1])*C(n,k)
    way=(way*sum)%mod
    
print((way%mod))

# Optimized solution
#How many ways M=a1*a2*...*aN ex)N=2,M=6 a={1,6},{2,3},{3,2},{6,1}
import math
n,m=list(map(int,input().split()))
factor=[]
c=0
mod=10**9+7

#Prime Factorization [number,times]
while m%2 == 0:
    m//=2
    c+=1
    '''
    if c>=20:
        c=0
        break
        '''
if c != 0:
    factor.append([2,c])
#Alternate
for i in range(3,m+1,2):
    c=0
    while m%i == 0:
        m//=i
        c+=1
    if c != 0:
        #print(i,c)
        factor.append([i,c])
    if m == 1:
        break
    if i*i>=m:  # m is prime
        factor.append([m,1])
        break
        
#print(factor)

def C(n,k):
    ans=1
    for s in range(1,k+1):
        ans*=n
        ans//=s
        n-=1
    return ans

def funcount(length,rest,memo):
    a=0
    if length==1:
        #print(length,rest)
        memo[length][rest]=1
        return 1,memo
    elif rest <= 1:
        #print(length,rest)
        memo[length][rest]=0
        return 0,memo
    if memo[length][rest] != -1:
        return memo[length][rest],memo
    else:
        for i in range(1,rest):
            #print(i,end=" ")
            a+=funcount(length-1,rest-i,memo)[0]
            memo=funcount(length-1,rest-i,memo)[1]
            #print(memo)
        memo[length][rest]=a
        return a,memo
    

way=1
for f in factor:
    sum=0
    for k in range(1,f[1]+1):
        memo=[[-1 for r in range(f[1]+1)] for l in range(k+1)] 
        #print(memo)
        sum+=funcount(k,f[1],memo)[0]*C(n,k)
    way=(way*sum)%mod
    
print((way%mod))
# Original solution
from math import factorial
from collections import Counter

N, M = list(map(int, input().split()))
MOD = 10 ** 9 + 7

def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a

A = prime_factorize(M)
c = Counter(A)
cases = 1

for v in list(c.values()):
    if v > 1:
        x = factorial(v+N-1)%MOD*pow(factorial(N-1)*factorial(v) % MOD, MOD-2, MOD)%MOD
        cases *= x
    else:
        cases *= N
    cases %= MOD
print(cases)


# Optimized solution
import sys
from collections import Counter

sr = lambda: sys.stdin.readline().rstrip()
ir = lambda: int(sr())
lr = lambda: list(map(int, sr().split()))

N, M = lr()
MOD = 10 ** 9 + 7

def prime_factorize(n): # Nの素因数分解
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a

def combination(n, x, mod=10**9+7):
    # nCx 組み合わせ ex) combination(5, 2) = 10
    factorial = [1] * (n+1)
    t = 1
    for i in range(1, n+1):
        t = (t * i) % mod
        factorial[i] = t
    tmp = factorial[n]
    tmp = (tmp * pow(factorial[x], mod-2, mod)) % mod
    tmp = (tmp * pow(factorial[n-x], mod-2, mod)) % mod
    return tmp

A = prime_factorize(M)
counter = Counter(A)
answer = 1
for c in list(counter.values()):
    answer *= combination((N-1+c), c)
    answer %= MOD

print(answer)
# 19
# Original solution
N, M = [int(i) for i in input().split()]

def prime_decomposition(n):
  i = 2
  table = []
  while i * i <= n:
    while n % i == 0:
      n //= i
      table.append(i)
    i += 1
  if n > 1:
    table.append(n)
  return table

def cmb(n, r):
    N, R = n, r
    for i in range(1, r):
        N *= n - i
        R *= r - i
    return N // R

from collections import Counter
A = Counter(prime_decomposition(M))

mod = 10 ** 9 + 7
result = 1
for a in list(A.values()):
    result = result * cmb(a + N - 1, a) % mod

print(result)

# Optimized solution
N, M = [int(i) for i in input().split()]

def prime_decomposition(n):
  table = []
  i = 2
  while i * i <= n:
    count = 0
    while n % i == 0:
      n //= i
      count += 1
    if count != 0:
        table.append((i, count))
    i += 1
  if n > 1:
    table.append((n, 1))
  return table

def cmb(n, r):
    N, R = n, r
    for i in range(1, r):
        N *= n - i
        R *= r - i
    return N // R

mod = 10 ** 9 + 7
A = prime_decomposition(M)
result = 1
for _, a in A:
    result = result * cmb(a + N - 1, a) % mod

print(result)
# Original solution
import math
import sys
import bisect
import itertools

N, M = [int(x) for x in input().split()]
MOD = 10 ** 9 + 7

divisor = []
dict = {}

m = M
d = 2
while m != 1:
    while m % d == 0:
        # divisor.append(d)
        m //= d
        dict[d] = dict.get(d, 0) + 1
    d += 1
C = list(dict.values())
ret = 1


# def combinations_count(n, r):
#     return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))

def combinations_count(n, r):
    a = max(r, n-r)
    b = min(r, n-r)
    r = 1
    for i in range(a+1, n+1):
        r *= i
    return r // math.factorial(b)


for c in C:
    ret *= combinations_count(c + N - 1, c)
    ret %= MOD

print(ret)


# Optimized solution
import math

N, M = [int(x) for x in input().split()]
MOD = 10 ** 9 + 7

divisor = []
dict = {}

m = M
d = 2
while m != 1:
    while m % d == 0:
        # divisor.append(d)
        m //= d
        dict[d] = dict.get(d, 0) + 1
    d += 1
C = list(dict.values())
ret = 1


# def combinations_count(n, r):
#     return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))

def combinations_count(n, r):
    a = max(r, n-r)
    b = min(r, n-r)
    r = 1
    for i in range(a+1, n+1):
        r *= i
    return r // math.factorial(b)


for c in C:
    ret *= combinations_count(c + N - 1, c)
    ret %= MOD

print(ret)
# Original solution
import math

N, M = [int(x) for x in input().split()]
MOD = 10 ** 9 + 7

divisor = []
dict = {}

m = M
d = 2
while m != 1:
    while m % d == 0:
        # divisor.append(d)
        m //= d
        dict[d] = dict.get(d, 0) + 1
    d += 1
C = list(dict.values())
ret = 1


# def combinations_count(n, r):
#     return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))

def combinations_count(n, r):
    a = max(r, n-r)
    b = min(r, n-r)
    r = 1
    for i in range(a+1, n+1):
        r *= i
    return r // math.factorial(b)


for c in C:
    ret *= combinations_count(c + N - 1, c)
    ret %= MOD

print(ret)


# Optimized solution
import math

N, M = [int(x) for x in input().split()]
MOD = 10 ** 9 + 7

divisor = []
dict = {}

m = M
d = 2
while d*d <= m:
    while m % d == 0:
        m //= d
        dict[d] = dict.get(d, 0) + 1
    d += 1
if m > 1:
    dict[d] = dict.get(m, 0) + 1

C = list(dict.values())
ret = 1


# def combinations_count(n, r):
#     return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))

def combinations_count(n, r):
    a = max(r, n-r)
    b = min(r, n-r)
    r = 1
    for i in range(a+1, n+1):
        r *= i
    return r // math.factorial(b)


for c in C:
    ret *= combinations_count(c + N - 1, c)
    ret %= MOD

print(ret)
# Original solution
import math

N, M = list(map(int, input().split()))
max = int(math.sqrt(M))
mod = 7 + 10**9
F = []

def Prime(i): #素数であればTrueを返す
    root = math.sqrt(i)
    j, div = 2, False
    while j <= root:
        if i % j == 0:
            div = True
            break
        j += 1
    return (True if not div else False)

def comb(n, r):
    ans = math.factorial(n) // (math.factorial(n-r) * math.factorial(r))
    return ans % mod


ans = 1
for i in range(2, max + 1):
    if M % i == 0:
        div = M // i
        if Prime(i):
            pow = 0
            while M % (i ** (pow+1)) == 0:
                pow += 1
            ans *= comb(pow + N -1, pow)
            ans %= mod
        if Prime(div):
            pow = 0
            while M % (i ** (pow+1)) == 0:
                pow += 1
            ans *= comb(pow + N - 1, pow)
            ans %= mod

print(ans)

# Optimized solution
import math

def InvMod(i, pow, mod): #階乗のmodを計算
    if pow == 1:
        return i % mod
    else:
        if pow % 2 == 0:
            return InvMod((i**2) % mod, pow//2, mod) % mod
        else:
            return InvMod((i**2) % mod, pow//2, mod) * i % mod

def Prime(i): #素数であればTrueを返す
    root = math.sqrt(i)
    j, div = 2, True
    while j <= root:
        if i % j == 0:
            div = False
            break
        j += 1
    return div

N, M = list(map(int, input().split()))
max = int(math.sqrt(M))
mod = 7 + 10**9

Pinv = [0]
Pfact = 1
for i in range(1, 31): #(階乗)^-1の計算, 2^31 > 10^9なので階乗は高々30乗まで
    Pfact *= i
    Pfact %= mod
    Pinv.append(InvMod(Pfact, mod-2, mod))

P = []
for i in range(2, max+1): #素因数の列挙
    if M % i == 0:
        if Prime(i):
            P.append(i)
        if Prime(M//i) and i**2 != M:
            P.append(M//i)

ans = 1
for p in P:
    C, pow = M, 0
    while C % p == 0: 
        pow += 1
        C //= p
    comb = Pinv[pow]  #(N-1)!/pow!(N-1)!
    for i in range(pow): #comb * (N-1+1)(N-1+2)…(N-1+pow)
        comb *= (N+i)
        comb %= mod
    ans *= comb
    ans %= mod

print(ans)
# Original solution
from collections import Counter
import math
N,M = list(map(int,input().split()))
nf = math.factorial(N)

# 因数分解
def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    return a
a = prime_factorize(M)
c = Counter(a)
l = []
for i in list(c.values()):
    # 階乗
    # 重複組み合わせ
    l.append(math.factorial(N+i-1)//(math.factorial(N-1)*math.factorial(i)))
ans = 1
for i in l:
    ans *= i
print((ans%(10**9+7)))

# Optimized solution
from collections import Counter
import math
mod = 10**9+7
N,M = list(map(int,input().split()))
factors = []
f = 2
while M%f==0:
    M//=2
    factors.append(f)
f = 3
while f*f<=M:
    if M%f==0:
        M//=f
        factors.append(f)
    else:
        f+=2
if M!=1:
    factors.append(M)
count = Counter(factors)

def choose(n,k):
    return math.factorial(n)//(math.factorial(n-k)*math.factorial(k))
ans = 1
for v in list(count.values()):
    ans *= choose(N+v-1,N-1)
    ans %= mod
print(ans)
# Original solution
from math import factorial
def H(x, y):
    return factorial(x + y - 1) // (factorial(x - 1) * factorial(y))
n, m = list(map(int, input().split()))
p = 2
prime_factorization = []
while p * p <= m:
    count = 0
    while m % p == 0:
        m //= p
        count += 1
    if count > 0:
        prime_factorization.append(count)
    p += 1
if m > 1:
    prime_factorization.append(1)
ans = 1
for r in prime_factorization:
    ans *= H(n, r)
print((ans % 1000000007))

# Optimized solution
def C(x, y):
    z = 1
    for i in range(x, x-y, -1):
        z *= i
    for i in range(y, 1, -1):
        z //= i
    return z
def H(x, y):
    return C(x+y-1, y)
n, m = list(map(int, input().split()))
p = 2
prime_factorization = []
while p * p <= m:
    count = 0
    while m % p == 0:
        m //= p
        count += 1
    if count > 0:
        prime_factorization.append(count)
    p += 1
if m > 1:
    prime_factorization.append(1)
ans = 1
for r in prime_factorization:
    ans *= H(n, r)
print((ans % 1000000007))