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318646121136 = 243723730711927
BaseRepresentation
bin1001010001100001100…
…10011111001010110000
31010110110222220010100020
410220300302133022300
520210041401334021
6402214540123440
732010230224500
oct4506062371260
91113428803306
10318646121136
11113156479072
1251909b36580
1324081b85795
14115cb6bda00
15844e6457c6
hex4a30c9f2b0

318646121136 has 240 divisors, whose sum is σ = 986730345216. Its totient is φ = 88285220352.

The previous prime is 318646121113. The next prime is 318646121141. The reversal of 318646121136 is 631121646813.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26710405 + ... + 26722331.

Almost surely, 2318646121136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 318646121136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493365172608).

318646121136 is an abundant number, since it is smaller than the sum of its proper divisors (668084224080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

318646121136 is a wasteful number, since it uses less digits than its factorization.

318646121136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12296 (or 12283 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

Adding to 318646121136 its reverse (631121646813), we get a palindrome (949767767949).

The spelling of 318646121136 in words is "three hundred eighteen billion, six hundred forty-six million, one hundred twenty-one thousand, one hundred thirty-six".