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232324343423232 = 2833781671001081
BaseRepresentation
bin110100110100110000111001…
…111101100110000100000000
31010110120222201221112201120120
4310310300321331212010000
5220422400223404020412
62142040155134540240
766635610544101024
oct6464607175460400
91113528657481516
10232324343423232
11680312231a7685
1222082020667680
139c8312627cc28
1441527b5a76384
151bcd451730b8c
hexd34c39f66100

232324343423232 has 144 divisors (see below), whose sum is σ = 635111343737472. Its totient is φ = 75339134484480.

The previous prime is 232324343423209. The next prime is 232324343423239.

232324343423232 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (232324343423239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231572932 + ... + 232574012.

Almost surely, 2232324343423232 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 232324343423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317555671868736).

232324343423232 is an abundant number, since it is smaller than the sum of its proper divisors (402787000314240).

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

232324343423232 is a wasteful number, since it uses less digits than its factorization.

232324343423232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009304 (or 1009290 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 42.

The spelling of 232324343423232 in words is "two hundred thirty-two trillion, three hundred twenty-four billion, three hundred forty-three million, four hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1184 1776 2368 3552 4736 7104 8167 9472 14208 16334 24501 28416 32668 49002 65336 98004 130672 196008 261344 302179 392016 522688 604358 784032 906537 1001081 1045376 1208716 1568064 1813074 2002162 2090752 2417432 3003243 3136128 3626148 4004324 4834864 6006486 6272256 7252296 8008648 9669728 12012972 14504592 16017296 19339456 24025944 29009184 32034592 37039997 38678912 48051888 58018368 64069184 74079994 77357824 96103776 111119991 116036736 128138368 148159988 192207552 222239982 232073472 256276736 296319976 384415104 444479964 592639952 768830208 888959928 1185279904 1777919856 2370559808 3555839712 4741119616 7111679424 8175828527 9482239232 14223358848 16351657054 24527485581 28446717696 32703314108 49054971162 65406628216 98109942324 130813256432 196219884648 261626512864 302505655499 392439769296 523253025728 605011310998 784879538592 907516966497 1046506051456 1210022621996 1569759077184 1815033932994 2093012102912 2420045243992 3139518154368 3630067865988 4840090487984 6279036308736 7260135731976 9680180975968 14520271463952 19360361951936 29040542927904 38720723903872 58081085855808 77441447807744 116162171711616 232324343423232