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23034341432331 = 33149179271118033
BaseRepresentation
bin1010011110011000110011…
…01111010001110000001011
310000120001122212012022001000
411033030121233101300023
511004343312401313311
6120553455205430043
74565114311442655
oct517143157216013
9100501585168030
1023034341432331
11738089a264149
12270026240b323
13cb118a7739a8
14598c21dcd6d5
1529e29941e056
hex14f319bd1c0b

23034341432331 has 64 divisors (see below), whose sum is σ = 34673667840000. Its totient is φ = 15111854138880.

The previous prime is 23034341432303. The next prime is 23034341432351. The reversal of 23034341432331 is 13323414343032.

23034341432331 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 4 + 3 + 414 + 3 + 233 + 1 = 666.

It is not a de Polignac number, because 23034341432331 - 217 = 23034341301259 is a prime.

It is a super-2 number, since 2×230343414323312 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23034341432351) 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 63 ways as a sum of consecutive naturals, for example, 195092691 + ... + 195210723.

It is an arithmetic number, because the mean of its divisors is an integer number (541776060000).

Almost surely, 223034341432331 is an apocalyptic number.

23034341432331 is a deficient number, since it is larger than the sum of its proper divisors (11639326407669).

23034341432331 is a wasteful number, since it uses less digits than its factorization.

23034341432331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118641 (or 118635 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 23034341432331 its reverse (13323414343032), we get a palindrome (36357755775363).

The spelling of 23034341432331 in words is "twenty-three trillion, thirty-four billion, three hundred forty-one million, four hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 27 149 179 271 447 537 813 1341 1611 2439 4023 4833 7317 26671 40379 48509 80013 118033 121137 145527 240039 354099 363411 436581 720117 1062297 1090233 1309743 3186891 7227841 17586917 21127907 21683523 31986943 52760751 63383721 65050569 95960829 158282253 190151163 195151707 287882487 474846759 570453489 863647461 3148058143 4766054507 5725662797 9444174429 14298163521 17176988391 28332523287 42894490563 51530965173 84997569861 128683471689 154592895519 853123756753 2559371270259 7678113810777 23034341432331