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42013431024 = 2431279684347
BaseRepresentation
bin100111001000001100…
…100001010011110000
311000102222200102121220
4213020030201103300
51142020414243044
631144541345040
73015063162045
oct471014412360
9130388612556
1042013431024
11168aa539624
128186268180
133c67250076
142067b611cc
15115d64e019
hex9c83214f0

42013431024 has 40 divisors (see below), whose sum is σ = 108619714560. Its totient is φ = 13993507008.

The previous prime is 42013431023. The next prime is 42013431037.

42013431024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42013430985 and 42013431003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42013431023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280782 + ... + 403565.

It is an arithmetic number, because the mean of its divisors is an integer number (2715492864).

Almost surely, 242013431024 is an apocalyptic number.

It is an amenable number.

42013431024 is an abundant number, since it is smaller than the sum of its proper divisors (66606283536).

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

42013431024 is a wasteful number, since it uses less digits than its factorization.

42013431024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685637 (or 685631 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 42013431024 in words is "forty-two billion, thirteen million, four hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1279 2558 3837 5116 7674 10232 15348 20464 30696 61392 684347 1368694 2053041 2737388 4106082 5474776 8212164 10949552 16424328 32848656 875279813 1750559626 2625839439 3501119252 5251678878 7002238504 10503357756 14004477008 21006715512 42013431024