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234042042024 = 23327464369131
BaseRepresentation
bin1101100111110111111…
…1100010011010101000
3211101002210101121010200
43121331333202122220
512313304230321044
6255303433112200
722623531350640
oct3317577423250
9741083347120
10234042042024
11902906a422a
1239438258660
13190bac35acb
14b4832a5520
15614bd7a369
hex367dfe26a8

234042042024 has 48 divisors (see below), whose sum is σ = 724415845920. Its totient is φ = 66869154720.

The previous prime is 234042042023. The next prime is 234042042043. The reversal of 234042042024 is 420240240432.

234042042024 is a `hidden beast` number, since 2 + 34 + 0 + 420 + 4 + 202 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (234042042023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232184062 + ... + 232185069.

It is an arithmetic number, because the mean of its divisors is an integer number (15091996790).

Almost surely, 2234042042024 is an apocalyptic number.

234042042024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234042042024 is an abundant number, since it is smaller than the sum of its proper divisors (490373803896).

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

234042042024 is a wasteful number, since it uses less digits than its factorization.

234042042024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464369150 (or 464369143 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 234042042024 its reverse (420240240432), we get a palindrome (654282282456).

The spelling of 234042042024 in words is "two hundred thirty-four billion, forty-two million, forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 464369131 928738262 1393107393 1857476524 2786214786 3250583917 3714953048 4179322179 5572429572 6501167834 8358644358 9751751751 11144859144 13002335668 16717288716 19503503502 26004671336 29255255253 33434577432 39007007004 58510510506 78014014008 117021021012 234042042024