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286023875344 = 241923122272
BaseRepresentation
bin1000010100110000101…
…10011111101100010000
31000100021111101022222121
410022120112133230100
514141234103002334
6335221512144024
726443636553254
oct4123026375420
91010244338877
10286023875344
11100336025a59
1247524998014
1320c8345c06c
14dbb4cc2264
1576906e4db4
hex429859fb10

286023875344 has 135 divisors (see below), whose sum is σ = 607022813511. Its totient is φ = 130536912960.

The previous prime is 286023875339. The next prime is 286023875369. The reversal of 286023875344 is 443578320682.

The square root of 286023875344 is 534812.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×2860238753442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 286023875291 and 286023875300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1260016959 + ... + 1260017185.

Almost surely, 2286023875344 is an apocalyptic number.

286023875344 is the 534812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286023875344

286023875344 is an abundant number, since it is smaller than the sum of its proper divisors (320998938167).

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

286023875344 is an equidigital number, since it uses as much as digits as its factorization.

286023875344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 52.

The spelling of 286023875344 in words is "two hundred eighty-six billion, twenty-three million, eight hundred seventy-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 227 248 304 361 454 496 589 722 908 961 1178 1444 1816 1922 2356 2888 3632 3844 4313 4712 5776 7037 7688 8626 9424 11191 14074 15376 17252 18259 22382 28148 34504 36518 44764 51529 56296 69008 73036 81947 89528 103058 112592 133703 146072 163894 179056 206116 218147 267406 292144 327788 346921 412232 436294 534812 655576 693842 824464 872588 979051 1069624 1311152 1387684 1597399 1745176 1958102 2139248 2540357 2775368 3194798 3490352 3916204 4144793 5080714 5550736 6389596 7832408 8289586 10161428 12779192 15664816 16579172 18601969 20322856 25558384 30350581 33158344 37203938 40645712 49519369 60701162 66316688 74407876 78751067 99038738 121402324 148815752 157502134 198077476 242804648 297631504 315004268 396154952 485609296 576661039 630008536 792309904 940868011 1153322078 1260017072 1881736022 2306644156 3763472044 4613288312 7526944088 9226576624 15053888176 17876492209 35752984418 71505968836 143011937672 286023875344