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234242302212441 = 33175419241102079
BaseRepresentation
bin110101010000101011001001…
…001101101111100101011001
31010201101100022210101020202000
4311100223021031233211121
5221200311213331244231
62150105232244031213
7100224306420602445
oct6520531115574531
91121340283336660
10234242302212441
1168700669a07516
1222331889092509
13a091c53836453
1441bb560645825
151c132a6e3b6e6
hexd50ac936f959

234242302212441 has 64 divisors (see below), whose sum is σ = 368161532006400. Its totient is φ = 146686575974400.

The previous prime is 234242302212431. The next prime is 234242302212469. The reversal of 234242302212441 is 144212203242432.

234242302212441 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 423 + 0 + 221 + 2 + 4 + 4 + 1 = 666.

It is not a de Polignac number, because 234242302212441 - 226 = 234242235103577 is a prime.

It is a super-2 number, since 2×2342423022124412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 234242302212396 and 234242302212405.

It is not an unprimeable number, because it can be changed into a prime (234242302212431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2294664840 + ... + 2294766918.

It is an arithmetic number, because the mean of its divisors is an integer number (5752523937600).

Almost surely, 2234242302212441 is an apocalyptic number.

It is an amenable number.

234242302212441 is a deficient number, since it is larger than the sum of its proper divisors (133919229793959).

234242302212441 is a wasteful number, since it uses less digits than its factorization.

234242302212441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111887 (or 111881 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 234242302212441 its reverse (144212203242432), we get a palindrome (378454505454873).

The spelling of 234242302212441 in words is "two hundred thirty-four trillion, two hundred forty-two billion, three hundred two million, two hundred twelve thousand, four hundred forty-one".

Divisors: 1 3 9 17 27 51 153 459 541 1623 4869 9197 9241 14607 27591 27723 82773 83169 102079 157097 248319 249507 306237 471291 918711 1413873 1735343 2756133 4241619 4999381 5206029 14998143 15618087 44994429 46854261 55224739 84989477 134983287 165674217 254968431 497022651 764905293 938820563 943312039 1491067953 2294715879 2816461689 2829936117 8449385067 8489808351 16036304663 25348155201 25469425053 48108913989 144326741967 432980225901 510331813099 1530995439297 4592986317891 8675640822683 13778958953673 26026922468049 78080767404147 234242302212441