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12256323406430 = 25194171149148723
BaseRepresentation
bin1011001001011010010111…
…0011011000101001011110
31121101200201020210021210212
42302112211303120221132
53101301422243001210
642022251030132422
72403330056014355
oct262264563305136
947350636707725
1012256323406430
1139a597204a984
12145b435ab1112
136ab9c684c08c
143052d014699c
15163c35e56805
hexb25a5cd8a5e

12256323406430 has 128 divisors (see below), whose sum is σ = 24286034304000. Its totient is φ = 4437388569600.

The previous prime is 12256323406423. The next prime is 12256323406463. The reversal of 12256323406430 is 3460432365221.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

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, 82336049 + ... + 82484771.

It is an arithmetic number, because the mean of its divisors is an integer number (189734643000).

Almost surely, 212256323406430 is an apocalyptic number.

12256323406430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12256323406430 is a deficient number, since it is larger than the sum of its proper divisors (12029710897570).

12256323406430 is a wasteful number, since it uses less digits than its factorization.

12256323406430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149010.

The product of its (nonzero) digits is 622080, while the sum is 41.

The spelling of 12256323406430 in words is "twelve trillion, two hundred fifty-six billion, three hundred twenty-three million, four hundred six thousand, four hundred thirty".

Divisors: 1 2 5 10 19 38 41 71 82 95 142 149 190 205 298 355 410 710 745 779 1349 1490 1558 2698 2831 2911 3895 5662 5822 6109 6745 7790 10579 12218 13490 14155 14555 21158 28310 29110 30545 52895 55309 61090 105790 110618 116071 148723 201001 232142 276545 297446 402002 433739 553090 580355 743615 867478 1005005 1160710 1487230 2010010 2168695 2825737 4337390 5651474 6097643 8241041 10559333 12195286 14128685 16482082 21118666 22159727 28257370 30488215 41205205 44319454 52796665 60976430 82410410 105593330 110798635 115855217 200627327 221597270 231710434 401254654 421034813 432932653 579276085 842069626 865865306 908548807 1003136635 1158552170 1573340617 1817097614 2006273270 2105174065 2164663265 3146681234 4210348130 4329326530 4542744035 7866703085 8225720407 9085488070 15733406170 16451440814 17262427333 29893471723 34524854666 41128602035 59786943446 64506965297 82257204070 86312136665 129013930594 149467358615 172624273330 298934717230 322534826485 645069652970 1225632340643 2451264681286 6128161703215 12256323406430