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234269944433056 = 2572192413869397
BaseRepresentation
bin110101010001000100111000…
…110100011100100110100000
31010201110222200020002112211201
4311101010320310130212200
5221201234321233324211
62150130043212450544
7100226305420602100
oct6521047064344640
91121428606075751
10234269944433056
1168711364255a44
1222337102479a54
13a09473a5a60cc
1441bca238a1200
151c13d73a7e0c1
hexd51138d1c9a0

234269944433056 has 108 divisors (see below), whose sum is σ = 566244108131058. Its totient is φ = 95117120066304.

The previous prime is 234269944433017. The next prime is 234269944433153. The reversal of 234269944433056 is 650334449962432.

It can be written as a sum of positive squares in only one way, i.e., 151849329616656 + 82420614816400 = 12322716^2 + 9078580^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 206368651 + ... + 207500746.

Almost surely, 2234269944433056 is an apocalyptic number.

It is an amenable number.

234269944433056 is an abundant number, since it is smaller than the sum of its proper divisors (331974163698002).

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

234269944433056 is a wasteful number, since it uses less digits than its factorization.

234269944433056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413869459 (or 413869425 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 64.

The spelling of 234269944433056 in words is "two hundred thirty-four trillion, two hundred sixty-nine billion, nine hundred forty-four million, four hundred thirty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 361 392 532 608 722 784 931 1064 1444 1568 1862 2128 2527 2888 3724 4256 5054 5776 7448 10108 11552 14896 17689 20216 29792 35378 40432 70756 80864 141512 283024 566048 413869397 827738794 1655477588 2897085779 3310955176 5794171558 6621910352 7863518543 11588343116 13243820704 15727037086 20279600453 23176686232 31454074172 40559200906 46353372464 55044629801 62908148344 81118401812 92706744928 110089259602 125816296688 149406852317 162236803624 220178519204 251632593376 298813704634 324473607248 385312408607 440357038408 597627409268 648947214496 770624817214 880714076816 1045847966219 1195254818536 1541249634428 1761428153632 2091695932438 2390509637072 3082499268856 4183391864876 4781019274144 6164998537712 7320935763533 8366783729752 12329997075424 14641871527066 16733567459504 29283743054132 33467134919008 58567486108264 117134972216528 234269944433056