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234131114004 = 223437131120549
BaseRepresentation
bin1101101000001101001…
…1010100100000010100
3211101022222222220220220
43122003103110200110
512314000031122004
6255320334154340
722625662430004
oct3320323244024
9741288886826
10234131114004
1190326a01337
12394620529b0
1319103521518
14b491050004
156154ac1dd9
hex36834d4814

234131114004 has 96 divisors (see below), whose sum is σ = 568734566400. Its totient is φ = 74909788800.

The previous prime is 234131114003. The next prime is 234131114023. The reversal of 234131114004 is 400411131432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234131114003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11383522 + ... + 11404070.

It is an arithmetic number, because the mean of its divisors is an integer number (5924318400).

Almost surely, 2234131114004 is an apocalyptic number.

It is an amenable number.

234131114004 is an abundant number, since it is smaller than the sum of its proper divisors (334603452396).

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

234131114004 is a wasteful number, since it uses less digits than its factorization.

234131114004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20981 (or 20979 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 234131114004 its reverse (400411131432), we get a palindrome (634542245436).

The spelling of 234131114004 in words is "two hundred thirty-four billion, one hundred thirty-one million, one hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 12 43 71 86 129 142 172 213 258 284 311 426 516 622 852 933 1244 1866 3053 3732 6106 9159 12212 13373 18318 20549 22081 26746 36636 40119 41098 44162 53492 61647 66243 80238 82196 88324 123294 132486 160476 246588 264972 883607 949483 1458979 1767214 1898966 2650821 2848449 2917958 3534428 3797932 4376937 5301642 5696898 5835916 6390739 8753874 10603284 11393796 12781478 17507748 19172217 25562956 38344434 62736097 76688868 125472194 188208291 250944388 274801777 376416582 453742469 549603554 752833164 824405331 907484938 1099207108 1361227407 1648810662 1814969876 2722454814 3297621324 5444909628 19510926167 39021852334 58532778501 78043704668 117065557002 234131114004