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512340041031 = 371353593831567
BaseRepresentation
bin1110111010010011101…
…10001001110101000111
31210222102212011202012020
413131021312021311013
531343233022303111
61031211001054223
752005156331350
oct7351166116507
91728385152166
10512340041031
11188311661a15
1283365787373
133940c88c7c0
141ab24078d27
15d4d9171906
hex7749d89d47

512340041031 has 128 divisors (see below), whose sum is σ = 873977610240. Its totient is φ = 259805864448.

The previous prime is 512340041027. The next prime is 512340041077. The reversal of 512340041031 is 130140043215.

It is a happy number.

It is not a de Polignac number, because 512340041031 - 22 = 512340041027 is a prime.

It is a super-2 number, since 2×5123400410312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 512340040992 and 512340041010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512340031031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 326955210 + ... + 326956776.

It is an arithmetic number, because the mean of its divisors is an integer number (6827950080).

Almost surely, 2512340041031 is an apocalyptic number.

512340041031 is a deficient number, since it is larger than the sum of its proper divisors (361637569209).

512340041031 is a wasteful number, since it uses less digits than its factorization.

512340041031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 512340041031 its reverse (130140043215), we get a palindrome (642480084246).

The spelling of 512340041031 in words is "five hundred twelve billion, three hundred forty million, forty-one thousand, thirty-one".

Divisors: 1 3 7 13 21 39 53 59 91 159 177 273 371 383 413 689 767 1113 1149 1239 1567 2067 2301 2681 3127 4701 4823 4979 5369 8043 9381 10969 14469 14937 16107 20299 20371 21889 22597 32907 34853 40651 60897 61113 65667 67791 83051 92453 104559 121953 142093 142597 158179 249153 263887 277359 284557 293761 426279 427791 474537 581357 600161 647171 791661 853671 881283 1079663 1197641 1201889 1744071 1800483 1847209 1941513 2056327 3238989 3592923 3605667 4201127 4900009 5541627 6168981 7557641 7802093 8383487 8413223 12603381 14700027 15569333 22672923 23406279 25150461 25239669 31808533 34300063 35409499 46707999 54614651 63700117 95425599 102900189 106228497 108985331 163843953 191100351 222659731 247866493 326955993 413510929 445900819 460323487 667979193 743599479 1240532787 1337702457 1380970461 1876703447 2894576503 3222264409 5630110341 8683729509 9666793227 13136924129 24397144811 39410772387 73191434433 170780013677 512340041031