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234042013431 = 3241634260199
BaseRepresentation
bin1101100111110111111…
…1011011011011110111
3211101002210100010220200
43121331333123123313
512313304223412211
6255303432331543
722623531201402
oct3317577333367
9741083303820
10234042013431
11902906847a6
1239438243bb3
13190bac25aa5
14b483298d39
15614bd71b56
hex367dfdb6f7

234042013431 has 12 divisors (see below), whose sum is σ = 346306069200. Its totient is φ = 152222447520.

The previous prime is 234042013411. The next prime is 234042013481. The reversal of 234042013431 is 134310240432.

234042013431 is a `hidden beast` number, since 23 + 4 + 0 + 4 + 201 + 3 + 431 = 666.

It is a de Polignac number, because none of the positive numbers 2k-234042013431 is a prime.

It is a super-3 number, since 3×2340420134313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 234042013395 and 234042013404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234042013411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317129731 + ... + 317130468.

It is an arithmetic number, because the mean of its divisors is an integer number (28858839100).

Almost surely, 2234042013431 is an apocalyptic number.

234042013431 is a deficient number, since it is larger than the sum of its proper divisors (112264055769).

234042013431 is a wasteful number, since it uses less digits than its factorization.

234042013431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634260246 (or 634260243 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 234042013431 its reverse (134310240432), we get a palindrome (368352253863).

The spelling of 234042013431 in words is "two hundred thirty-four billion, forty-two million, thirteen thousand, four hundred thirty-one".

Divisors: 1 3 9 41 123 369 634260199 1902780597 5708341791 26004668159 78014004477 234042013431