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234542383245432 = 23334572478195881
BaseRepresentation
bin110101010101000010100111…
…011100000010100001111000
31010202110000212221210011212000
4311111002213130002201320
5221220220300102323212
62150455141114021000
7100255061621362653
oct6525024734024170
91122400787704760
10234542383245432
1168806958920029
122237ba75717760
13a0b4337397672
1441cbcaa43c89a
151c1aebb7a51dc
hexd550a7702878

234542383245432 has 128 divisors (see below), whose sum is σ = 652965394555200. Its totient is φ = 78005758924800.

The previous prime is 234542383245371. The next prime is 234542383245437.

It is a happy number.

234542383245432 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 4 + 238 + 324 + 54 + 32 = 666.

234542383245432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234542383245437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2446134132 + ... + 2446230012.

Almost surely, 2234542383245432 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 234542383245432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326482697277600).

234542383245432 is an abundant number, since it is smaller than the sum of its proper divisors (418423011309768).

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

234542383245432 is a wasteful number, since it uses less digits than its factorization.

234542383245432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121134 (or 121124 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 54.

The spelling of 234542383245432 in words is "two hundred thirty-four trillion, five hundred forty-two billion, three hundred eighty-three million, two hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 457 914 1371 1828 2742 3656 4113 5484 8226 10968 12339 16452 24678 24781 32904 49356 49562 74343 95881 98712 99124 148686 191762 198248 223029 287643 297372 383524 446058 575286 594744 669087 767048 862929 892116 1150572 1338174 1725858 1784232 2301144 2588787 2676348 3451716 5177574 5352696 6903432 10355148 11324917 20710296 22649834 33974751 43817617 45299668 67949502 87635234 90599336 101924253 131452851 135899004 175270468 203848506 262905702 271798008 305772759 350540936 394358553 407697012 525811404 611545518 788717106 815394024 1051622808 1183075659 1223091036 1577434212 2366151318 2376027061 2446182072 3154868424 4732302636 4752054122 7128081183 9464605272 9504108244 14256162366 19008216488 21384243549 28512324732 42768487098 57024649464 64152730647 85536974196 128305461294 171073948392 256610922588 513221845176 1085844366877 2171688733754 3257533100631 4343377467508 6515066201262 8686754935016 9772599301893 13030132402524 19545198603786 26060264805048 29317797905679 39090397207572 58635595811358 78180794415144 117271191622716 234542383245432