Buggy python submission (verdict: Time Limit Exceeded):
# https://atcoder.jp/contests/abc110/tasks/abc110_d

def get_prime_dic(n):
    dic = {}

    while n % 2 == 0:
        if 2 in dic:
            dic[2] += 1
        else:
            dic[2] = 1
        n = n // 2

    i = 3
    while i <= n:
        while n % i == 0:
            n //= i
            if i in dic:
                dic[i] += 1
            else:
                dic[i] = 1
        i += 2
    if n > 1:
        dic[n] = 1
    return dic


# Calculate count of combination
def combination(n, r):
    a = 1
    b = 1
    for i in range(r):
        a *= (n - i)
        b *= (i + 1)
    return a // b


def main():
    N, M = map(int, input().split())
    d = get_prime_dic(M)
    # print(d)

    ans = 1
    for k, v in d.items():
        ans *= combination(v + N - 1, v)
        ans %= 1000000007

    print(ans)


main()


Fixed submission:
N, M = [int(i) for i in input().split()]
mod = 10 ** 9 + 7
def func(M):
  res = []
  i = 2
  while i * i <= M:
    c=0
    while M % i == 0:
      M /= i
      c += 1
    if c > 0:
      res.append(c)
    i += 1
  if M > 1:
    res.append(1)
  return res

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

res = func(M)
ans = 1
for i in res:
  ans = (ans * conb(i+N-1, i)) % mod
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
# https://atcoder.jp/contests/abc110/tasks/abc110_d

def get_prime_dic(n):
    dic = {}

    while n % 2 == 0:
        if 2 in dic:
            dic[2] += 1
        else:
            dic[2] = 1
        n = n // 2

    i = 3
    while i <= n:
        while n % i == 0:
            n //= i
            if i in dic:
                dic[i] += 1
            else:
                dic[i] = 1
        i += 2
    return dic


# Calculate count of combination
def combination(n, r):
    a = 1
    b = 1
    for i in range(r):
        a *= (n - i)
        b *= (i + 1)
    return a // b


def main():
    N, M = map(int, input().split())
    d = get_prime_dic(M)
    # print(d)

    ans = 1
    for k, v in d.items():
        ans *= combination(v + N - 1, v)
        ans %= 1000000007

    print(ans)


main()


Fixed submission:
N, M = [int(i) for i in input().split()]
mod = 10 ** 9 + 7
def func(M):
  res = []
  i = 2
  while i * i <= M:
    c=0
    while M % i == 0:
      M /= i
      c += 1
    if c > 0:
      res.append(c)
    i += 1
  if M > 1:
    res.append(1)
  return res

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

res = func(M)
ans = 1
for i in res:
  ans = (ans * conb(i+N-1, i)) % mod
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
# https://atcoder.jp/contests/abc110/tasks/abc110_d


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


def get_prime_dic(n):
    dic = {}

    i = 2
    while i <= n:
        while n % i == 0:
            n //= i
            if i in dic:
                dic[i] += 1
            else:
                dic[i] = 1
        i += 1
    return dic


# Calculate count of combination
def combination(n, r):
    a = 1
    b = 1
    for i in range(r):
        a *= (n - i)
        b *= (i + 1)
    return a // b


def main():

    d = get_prime_dic(M)
    # print(d)

    ans = 1

    for k, v in d.items():
        ans *= combination(v + N - 1, v)
        ans %= 1000000007


    print(ans)

main()


Fixed submission:
N, M = [int(i) for i in input().split()]
mod = 10 ** 9 + 7
def func(M):
  res = []
  i = 2
  while i * i <= M:
    c=0
    while M % i == 0:
      M /= i
      c += 1
    if c > 0:
      res.append(c)
    i += 1
  if M > 1:
    res.append(1)
  return res

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

res = func(M)
ans = 1
for i in res:
  ans = (ans * conb(i+N-1, i)) % mod
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
N, M = map(int, input().split())


def get_prime_dic(n):
    dic = {}

    i = 2
    while i <= n:
        while n % i == 0:
            n //= i
            if i in dic:
                dic[i] += 1
            else:
                dic[i] = 1
        i += 1
    return dic


# Calculate count of combination
def combination(n, r):
    a = 1
    b = 1
    for i in range(r):
        a *= (n - i)
        b *= (i + 1)
    return a // b

d = get_prime_dic(M)
# print(d)

ans = 1

for k, v in d.items():
    ans *= combination(v + N - 1, v)
    ans %= 1000000007


print(ans)


Fixed submission:
N, M = [int(i) for i in input().split()]
mod = 10 ** 9 + 7
def func(M):
  res = []
  i = 2
  while i * i <= M:
    c=0
    while M % i == 0:
      M /= i
      c += 1
    if c > 0:
      res.append(c)
    i += 1
  if M > 1:
    res.append(1)
  return res

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

res = func(M)
ans = 1
for i in res:
  ans = (ans * conb(i+N-1, i)) % mod
print(ans)

Buggy python submission (verdict: Time Limit Exceeded):
# https://atcoder.jp/contests/abc110/tasks/abc110_d


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


def get_prime_dic(n):
    dic = {}

    i = 2
    while i <= n:
        while n % i == 0:
            n //= i
            if i in dic:
                dic[i] += 1
            else:
                dic[i] = 1
        i += 1
    return dic


# Calculate count of combination
def combinations_count(n, r):
    import math
    return math.factorial(n) // (math.factorial(n - r) * math.factorial(r))


d = get_prime_dic(M)
# print(d)

ans = 1

for k, v in d.items():
    ans *= combinations_count(v + N - 1, v)


print(ans % (10**9 + 7))


Fixed submission:
N, M = [int(i) for i in input().split()]
mod = 10 ** 9 + 7
def func(M):
  res = []
  i = 2
  while i * i <= M:
    c=0
    while M % i == 0:
      M /= i
      c += 1
    if c > 0:
      res.append(c)
    i += 1
  if M > 1:
    res.append(1)
  return res

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

res = func(M)
ans = 1
for i in res:
  ans = (ans * conb(i+N-1, i)) % mod
print(ans)