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234881914428656 = 241123432415599169
BaseRepresentation
bin110101011001111110110101…
…000100101101110011110000
31010210122111021110121101101022
4311121332311010231303300
5221241301130043204111
62151315132321355012
7100321441541666345
oct6531766504556360
91123574243541338
10234881914428656
1168927951377390
1222415831a98a68
13a10a3670c1141
1442004b97927cc
151c24c3e6e22db
hexd59fb512dcf0

234881914428656 has 160 divisors (see below), whose sum is σ = 532287022164480. Its totient is φ = 99333719654400.

The previous prime is 234881914428619. The next prime is 234881914428677. The reversal of 234881914428656 is 656824419188432.

It is a self number, because there is not a number n which added to its sum of digits gives 234881914428656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39149840 + ... + 44749008.

It is an arithmetic number, because the mean of its divisors is an integer number (3326793888528).

Almost surely, 2234881914428656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234881914428656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266143511082240).

234881914428656 is an abundant number, since it is smaller than the sum of its proper divisors (297405107735824).

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

234881914428656 is a wasteful number, since it uses less digits than its factorization.

234881914428656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5599495 (or 5599489 counting only the distinct ones).

The product of its digits is 637009920, while the sum is 71.

The spelling of 234881914428656 in words is "two hundred thirty-four trillion, eight hundred eighty-one billion, nine hundred fourteen million, four hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 23 43 44 46 86 88 92 172 176 184 241 253 344 368 473 482 506 688 946 964 989 1012 1892 1928 1978 2024 2651 3784 3856 3956 4048 5302 5543 7568 7912 10363 10604 10879 11086 15824 20726 21208 21758 22172 41452 42416 43516 44344 60973 82904 87032 88688 113993 121946 165808 174064 227986 238349 243892 455972 476698 487784 911944 953396 975568 1823888 1906792 2621839 3813584 5243678 5599169 10487356 11198338 20974712 22396676 41949424 44793352 61590859 89586704 123181718 128780887 240764267 246363436 257561774 481528534 492726872 515123548 963057068 985453744 1030247096 1349399729 1416589757 1926114136 2060494192 2648406937 2698799458 2833179514 3852228272 5296813874 5397598916 5537578141 5666359028 10593627748 10795197832 11075156282 11332718056 14843397019 21187255496 21590395664 22150312564 22665436112 29686794038 31036193767 42374510992 44300625128 58024188347 59373588076 60913359551 62072387534 88601250256 116048376694 118747176152 121826719102 124144775068 232096753388 237494352304 243653438204 248289550136 341398131437 464193506776 487306876408 496579100272 638266071817 682796262874 928387013552 974613752816 1276532143634 1334556331981 1365592525748 2553064287268 2669112663962 2731185051496 5106128574536 5338225327924 5462370102992 10212257149072 10676450655848 14680119651791 21352901311696 29360239303582 58720478607164 117440957214328 234881914428656