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234012030412424 = 2311172341165880333
BaseRepresentation
bin110101001101010100101011…
…111100100010011010001000
31010200120022221202100210100012
4311031110223330202122020
5221133023114241144144
62145411350452131052
7100201545156600635
oct6515245374423210
91120508852323305
10234012030412424
1168621a43539980
12222b5123606a88
13a076316a48c94
1441b0357da718c
151c0c2cb09ee9e
hexd4d52bf22688

234012030412424 has 128 divisors (see below), whose sum is σ = 541751900417280. Its totient is φ = 93423802982400.

The previous prime is 234012030412423. The next prime is 234012030412483. The reversal of 234012030412424 is 424214030210432.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (234012030412423) 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 31 ways as a sum of consecutive naturals, for example, 81529439 + ... + 84350894.

It is an arithmetic number, because the mean of its divisors is an integer number (4232436722010).

Almost surely, 2234012030412424 is an apocalyptic number.

It is an amenable number.

234012030412424 is an abundant number, since it is smaller than the sum of its proper divisors (307739870004856).

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

234012030412424 is a wasteful number, since it uses less digits than its factorization.

234012030412424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165880431 (or 165880427 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 234012030412424 its reverse (424214030210432), we get a palindrome (658226060622856).

The spelling of 234012030412424 in words is "two hundred thirty-four trillion, twelve billion, thirty million, four hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 23 34 41 44 46 68 82 88 92 136 164 184 187 253 328 374 391 451 506 697 748 782 902 943 1012 1394 1496 1564 1804 1886 2024 2788 3128 3608 3772 4301 5576 7544 7667 8602 10373 15334 16031 17204 20746 30668 32062 34408 41492 61336 64124 82984 128248 176341 352682 705364 1410728 165880333 331760666 663521332 1327042664 1824683663 2819965661 3649367326 3815247659 5639931322 6801093653 7298734652 7630495318 11279862644 13602187306 14597469304 15260990636 22559725288 27204374612 30521981272 31019622271 41967724249 54408749224 62039244542 64859210203 74812030183 83935448498 115618592101 124078489084 129718420406 149624060366 156425154019 167870896996 231237184202 248156978168 259436840812 299248120732 312850308038 335741793992 462474368404 518873681624 598496241464 625700616076 713451312233 924948736808 1251401232152 1271804513111 1426902624466 1720676694209 2543609026222 2659227618323 2853805248932 3441353388418 5087218052444 5318455236646 5707610497864 6882706776836 10174436104888 10636910473292 13765413553672 21273820946584 29251503801553 58503007603106 117006015206212 234012030412424