output_description: Print the number of the positive divisors of N!, modulo 10^9+7.
  
  * * *
input_description: The input is given from Standard Input in the following format:
  
      
      
      N
attempt: n = int(input())
  x, answer = [2], 1
  if n != 1:
      for i in range(2, n + 1):
          if all(i % j != 0 for j in x):
              x.append(i)
      for i in x:
          num, num2 = 1, 0
          while i**num <= n:
              a = i**num
              num2 += (n - n % a) // a
              num += 1
          answer = answer * (num2 + 1) % (10**9 + 7)
  print(answer)
  
problem_description: Statement
  
  You are given an integer N. Find the number of the positive divisors of N!,
  modulo 10^9+7.
samples: [{"input": "3", "output": "4\n    \n\nThere are four divisors of 3! =6: 1, 2, 3 and 6. Thus, the output should be 4.\n\n* * *"}, {"input": "6", "output": "30\n    \n\n* * *"}, {"input": "1000", "output": "972926972"}]