Search a number
-
+
31240437696 = 2638135997
BaseRepresentation
bin11101000110000100…
…110011111111000000
32222122012101200000000
4131012010303333000
51002440023001241
622203543000000
72154111224166
oct350604637700
988565350000
1031240437696
111228145a256
12607a439000
132c3b3773c0
1417250a3236
15c2c9a0eb6
hex746133fc0

31240437696 has 504 divisors, whose sum is σ = 102884112240. Its totient is φ = 9352101888.

The previous prime is 31240437671. The next prime is 31240437707. The reversal of 31240437696 is 69673404213.

31240437696 is a `hidden beast` number, since 3 + 124 + 0 + 437 + 6 + 96 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 322066320 + ... + 322066416.

Almost surely, 231240437696 is an apocalyptic number.

31240437696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31240437696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51442056120).

31240437696 is an abundant number, since it is smaller than the sum of its proper divisors (71643674544).

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

31240437696 is an frugal number, since it uses more digits than its factorization.

31240437696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 31240437696 in words is "thirty-one billion, two hundred forty million, four hundred thirty-seven thousand, six hundred ninety-six".