Search a number
-
+
240056506431 = 32723915943183
BaseRepresentation
bin1101111110010001111…
…0111001100000111111
3211221121221200001020200
43133210132321200333
512413113431201211
6302140324014543
723225552431410
oct3374436714077
9757557601220
10240056506431
1192897704375
123a636531453
1319838cc74a1
14b893d9b807
15639edbdb56
hex37e47b983f

240056506431 has 24 divisors (see below), whose sum is σ = 397941872640. Its totient is φ = 136601183376.

The previous prime is 240056506429. The next prime is 240056506513. The reversal of 240056506431 is 134605650042.

240056506431 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 5 + 6 + 5 + 0 + 643 + 1 = 666.

It is not a de Polignac number, because 240056506431 - 21 = 240056506429 is a prime.

It is a super-2 number, since 2×2400565064312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240056506631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7956535 + ... + 7986648.

It is an arithmetic number, because the mean of its divisors is an integer number (16580911360).

Almost surely, 2240056506431 is an apocalyptic number.

240056506431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

240056506431 is a deficient number, since it is larger than the sum of its proper divisors (157885366209).

240056506431 is a wasteful number, since it uses less digits than its factorization.

240056506431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15943435 (or 15943432 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 240056506431 in words is "two hundred forty billion, fifty-six million, five hundred six thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 239 717 1673 2151 5019 15057 15943183 47829549 111602281 143488647 334806843 1004420529 3810420737 11431262211 26672945159 34293786633 80018835477 240056506431