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13044140413434 = 23213312431348987
BaseRepresentation
bin1011110111010001001101…
…0110110001000111111010
31201012000012120110212020200
42331310103112301013322
53202203344421212214
643424221222503030
72514256650050364
oct275642326610772
951160176425220
1013044140413434
114179a97226719
121568060294a76
13738098782950
143314a8457d34
151794948ccd09
hexbdd135b11fa

13044140413434 has 144 divisors (see below), whose sum is σ = 32181231098016. Its totient is φ = 3793780307520.

The previous prime is 13044140413427. The next prime is 13044140413517. The reversal of 13044140413434 is 43431404144031.

13044140413434 is a `hidden beast` number, since 1 + 3 + 0 + 44 + 140 + 41 + 3 + 434 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8995089 + ... + 10344075.

It is an arithmetic number, because the mean of its divisors is an integer number (223480771514).

Almost surely, 213044140413434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13044140413434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16090615549008).

13044140413434 is an abundant number, since it is smaller than the sum of its proper divisors (19137090684582).

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

13044140413434 is a wasteful number, since it uses less digits than its factorization.

13044140413434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349113 (or 1349079 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 13044140413434 its reverse (43431404144031), we get a palindrome (56475544557465).

The spelling of 13044140413434 in words is "thirteen trillion, forty-four billion, one hundred forty million, four hundred thirteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 43 62 78 86 93 117 129 186 234 258 279 387 403 558 559 774 806 961 1118 1209 1333 1677 1922 2418 2666 2883 3354 3627 3999 5031 5766 7254 7998 8649 10062 11997 12493 17298 17329 23994 24986 34658 37479 41323 51987 74958 82646 103974 112437 123969 155961 224874 247938 311922 371907 537199 743814 1074398 1348987 1611597 2697974 3223194 4046961 4834791 8093922 9669582 12140883 17536831 24281766 35073662 41818597 52610493 58006441 83637194 105220986 116012882 125455791 157831479 174019323 250911582 315662958 348038646 376367373 522057969 543641761 752734746 754083733 1044115938 1087283522 1296376507 1508167466 1630925283 1798199671 2262251199 2592753014 3261850566 3596399342 3889129521 4524502398 4892775849 5394599013 6786753597 7778259042 9785551698 10789198026 11667388563 13573507194 16183797039 16852894591 23334777126 23376595723 32367594078 33705789182 46753191446 50558683773 55744189801 70129787169 101117367546 111488379602 140259574338 151676051319 167232569403 210389361507 303352102638 334465138806 420778723014 501697708209 724674467413 1003395416418 1449348934826 2174023402239 4348046804478 6522070206717 13044140413434