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131443040310440 = 235239293182325741
BaseRepresentation
bin11101111000101111110111…
…101110011101010010101000
3122020101211110110221101121112
4131320233313232131102220
5114212030321304413230
61143320033223525452
736454306034025245
oct3570576756352250
9566354413841545
10131443040310440
11389777535a6811
12128aa6602b9888
13584604409aa71
142465c3ca725cc
15102e206097d95
hex778bf7b9d4a8

131443040310440 has 128 divisors (see below), whose sum is σ = 298172922163200. Its totient is φ = 52147885870080.

The previous prime is 131443040310341. The next prime is 131443040310443. The reversal of 131443040310440 is 44013040344131.

It is a junction number, because it is equal to n+sod(n) for n = 131443040310397 and 131443040310406.

It is not an unprimeable number, because it can be changed into a prime (131443040310443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5106355970 + ... + 5106381710.

It is an arithmetic number, because the mean of its divisors is an integer number (2329475954400).

Almost surely, 2131443040310440 is an apocalyptic number.

131443040310440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131443040310440 is an abundant number, since it is smaller than the sum of its proper divisors (166729881852760).

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

131443040310440 is a wasteful number, since it uses less digits than its factorization.

131443040310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28107 (or 28103 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 131443040310440 its reverse (44013040344131), we get a palindrome (175456080654571).

The spelling of 131443040310440 in words is "one hundred thirty-one trillion, four hundred forty-three billion, forty million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 239 293 478 586 956 1172 1195 1465 1823 1912 2344 2390 2930 3646 4780 5860 7292 9115 9560 11720 14584 18230 25741 36460 51482 70027 72920 102964 128705 140054 205928 257410 280108 350135 435697 514820 534139 560216 700270 871394 1029640 1068278 1400540 1742788 2136556 2178485 2670695 2801080 3485576 4273112 4356970 5341390 6152099 7542113 8713940 10682780 12304198 15084226 17427880 21365560 24608396 30168452 30760495 37710565 46925843 49216792 60336904 61520990 75421130 93851686 123041980 127659221 150842260 187703372 234629215 246083960 255318442 301684520 375406744 469258430 510636884 638296105 938516860 1021273768 1276592210 1802565007 1877033720 2553184420 3605130014 5106368840 7210260028 9012825035 11215276477 13749271999 14420520056 18025650070 22430552954 27498543998 36051300140 44861105908 54997087996 56076382385 68746359995 72102600280 89722211816 109994175992 112152764770 137492719990 224305529540 274985439980 448611059080 549970879960 3286076007761 6572152015522 13144304031044 16430380038805 26288608062088 32860760077610 65721520155220 131443040310440