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234366242663432 = 231121319183558671
BaseRepresentation
bin110101010010011110100100…
…101001000010110000001000
31010201211012020102012111210202
4311102132210221002300020
5221204324031110212212
62150242210542031332
7100236254655213245
oct6522364451026010
91121735212174722
10234366242663432
1168749190082800
12223518b8578548
13a0a08461c2609
1441c355b0405cc
151c1660cd030c2
hexd527a4a42c08

234366242663432 has 48 divisors (see below), whose sum is σ = 483383406844800. Its totient is φ = 106449343906400.

The previous prime is 234366242663411. The next prime is 234366242663461.

234366242663432 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90502544 + ... + 93056127.

It is an arithmetic number, because the mean of its divisors is an integer number (10070487642600).

Almost surely, 2234366242663432 is an apocalyptic number.

234366242663432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234366242663432 is an abundant number, since it is smaller than the sum of its proper divisors (249017164181368).

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

234366242663432 is a wasteful number, since it uses less digits than its factorization.

234366242663432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183560018 (or 183560003 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 56.

The spelling of 234366242663432 in words is "two hundred thirty-four trillion, three hundred sixty-six billion, two hundred forty-two million, six hundred sixty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1319 2638 5276 10552 14509 29018 58036 116072 159599 319198 638396 1276792 183558671 367117342 734234684 1468469368 2019145381 4038290762 8076581524 16153163048 22210599191 44421198382 88842396764 177684793528 242113887049 484227774098 968455548196 1936911096392 2663252757539 5326505515078 10653011030156 21306022060312 29295780332929 58591560665858 117183121331716 234366242663432