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234423545324432 = 242371101130767967
BaseRepresentation
bin110101010011010011111100…
…001001010110001110010000
31010202000200010221021022001112
4311103103330021112032100
5221211243410100340212
62150324405012552452
7100243353662616662
oct6523237411261620
91122020127238045
10234423545324432
1168770515a21082
1222360a2b022728
13a0a6078b88309
1441c6235594532
151c17d63849422
hexd534fc256390

234423545324432 has 160 divisors (see below), whose sum is σ = 485755625078784. Its totient is φ = 109356750272000.

The previous prime is 234423545324431. The next prime is 234423545324461.

234423545324432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2344235453244322 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234423545324431) 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, 3449044913 + ... + 3449112879.

Almost surely, 2234423545324432 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 234423545324432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242877812539392).

234423545324432 is an abundant number, since it is smaller than the sum of its proper divisors (251332079754352).

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

234423545324432 is a wasteful number, since it uses less digits than its factorization.

234423545324432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69477 (or 69471 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 50.

The spelling of 234423545324432 in words is "two hundred thirty-four trillion, four hundred twenty-three billion, five hundred forty-five million, three hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 71 92 101 142 184 202 284 368 404 568 808 1136 1307 1616 1633 2323 2614 3266 4646 5228 6532 7171 9292 10456 13064 14342 18584 20912 26128 28684 30061 37168 57368 60122 67967 92797 114736 120244 132007 135934 164933 185594 240488 264014 271868 329866 371188 480976 528028 543736 659732 742376 1056056 1087472 1319464 1484752 1563241 2112112 2134331 2638928 3036161 3126482 4268662 4825657 6072322 6252964 6864667 8537324 9372497 9651314 12144644 12505928 13729334 17074648 18744994 19302628 24289288 25011856 27458668 34149296 37489988 38605256 48578576 54917336 74979976 77210512 88832869 109834672 110990111 149959952 157887341 177665738 215567431 221980222 315774682 355331476 431134862 443960444 487391357 631549364 710662952 862269724 887920888 974782714 1263098728 1421325904 1724539448 1775841776 1949565428 2043155987 2526197456 3449078896 3899130856 4086311974 6307133699 7798261712 8172623948 8972119769 11210001211 12614267398 16345247896 17944239538 22420002422 25228534796 32690495792 35888479076 44840004844 50457069592 71776958152 89680009688 100914139184 143553916304 145064075077 179360019376 206358754687 290128150154 412717509374 580256300308 637020503599 825435018748 1160512600616 1274041007198 1650870037496 2321025201232 2548082014396 3301740074992 5096164028792 10192328057584 14651471582777 29302943165554 58605886331108 117211772662216 234423545324432