Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
285327631031457 = 3733188322814441
BaseRepresentation
bin100000011100000010000010…
…0000101111001110010100001
31101102021001111012012001211010
41000320010010011321302201
5244344301442021001312
62450501412032411133
7114046145454141000
oct10070040405716241
91342231435161733
10285327631031457
1182a06850272133
12280024a63a6aa9
13c3293846669c1
145065d06a48c37
1522ec05e53a93c
hex1038104179ca1

285327631031457 has 128 divisors (see below), whose sum is σ = 458792616755200. Its totient is φ = 157501604736000.

The previous prime is 285327631031447. The next prime is 285327631031551. The reversal of 285327631031457 is 754130136723582.

It is a happy number.

It is not a de Polignac number, because 285327631031457 - 210 = 285327631030433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 285327631031397 and 285327631031406.

It is not an unprimeable number, because it can be changed into a prime (285327631031447) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 64248507357 + ... + 64248511797.

It is an arithmetic number, because the mean of its divisors is an integer number (3584317318400).

Almost surely, 2285327631031457 is an apocalyptic number.

It is an amenable number.

285327631031457 is a deficient number, since it is larger than the sum of its proper divisors (173464985723743).

285327631031457 is a wasteful number, since it uses less digits than its factorization.

285327631031457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7660 (or 7646 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 57.

The spelling of 285327631031457 in words is "two hundred eighty-five trillion, three hundred twenty-seven billion, six hundred thirty-one million, thirty-one thousand, four hundred fifty-seven".

Divisors: 1 3 7 21 31 49 93 147 217 343 651 883 1029 1519 2281 2649 4441 4557 6181 6843 10633 13323 15967 18543 27373 31087 31899 43267 47901 70711 82119 93261 111769 129801 137671 191611 212133 217609 302869 335307 413013 494977 574833 652827 782383 908607 963697 1341277 1484931 1523263 2014123 2347149 2891091 3464839 3921403 4023831 4569789 6042369 6745879 9388939 10129921 10394517 11764209 14098861 20237637 24253873 27449821 28166817 30389763 42296583 47221153 62437813 70909447 72761619 82349463 98692027 121563493 141663459 187313439 192148747 212728341 296076081 314027551 364690479 437064691 496366129 576446241 690844189 850944451 942082653 1311194073 1345041229 1489098387 2072532567 2198192857 2552833353 3059452837 3474562903 4035123687 5956611157 6594578571 8944720243 9178358511 10423688709 15387349999 17869833471 21416169859 26834160729 41696278099 46162049997 62613041701 64248509577 107711449993 125088834297 187839125103 277286327533 323134349979 438291291907 831858982599 1314873875721 1941004292731 3068039043349 5823012878193 9204117130047 13587030049117 40761090147351 95109210343819 285327631031457