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272041504411014 = 234131730539248813
BaseRepresentation
bin111101110110101110011001…
…001111000000110110000110
31022200012220200011222012210000
4331312232121033000312012
5241124112000112123024
62402330050345342130
7111205231040205432
oct7566563117006606
91280186604865700
10272041504411014
1179754177150588
1226617571497946
13b8a4533187420
144b26c442379c2
15216b655665cc9
hexf76b993c0d86

272041504411014 has 160 divisors (see below), whose sum is σ = 695105959030560. Its totient is φ = 78778353835008.

The previous prime is 272041504411007. The next prime is 272041504411037. The reversal of 272041504411014 is 410114405140272.

272041504411014 is a `hidden beast` number, since 2 + 7 + 2 + 0 + 4 + 1 + 504 + 41 + 101 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 272041504411014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1093232872 + ... + 1093481684.

It is an arithmetic number, because the mean of its divisors is an integer number (4344412243941).

Almost surely, 2272041504411014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272041504411014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347552979515280).

272041504411014 is an abundant number, since it is smaller than the sum of its proper divisors (423064454619546).

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

272041504411014 is a wasteful number, since it uses less digits than its factorization.

272041504411014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279396 (or 279387 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 272041504411014 its reverse (410114405140272), we get a palindrome (682155909551286).

The spelling of 272041504411014 in words is "two hundred seventy-two trillion, forty-one billion, five hundred four million, four hundred eleven thousand, fourteen".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 306 351 442 459 663 702 918 1053 1326 1377 1989 2106 2754 3978 5967 11934 17901 30539 35802 61078 91617 183234 248813 274851 397007 497626 519163 549702 746439 794014 824553 1038326 1191021 1492878 1557489 1649106 2239317 2382042 2473659 3114978 3234569 3573063 4229821 4478634 4672467 4947318 6469138 6717951 6749119 7146126 8459642 9344934 9703707 10719189 12689463 13435902 13498238 14017401 19407414 20153853 20247357 21438378 25378926 28034802 29111121 32157567 38068389 40307706 40494714 42052203 54987673 58222242 60742071 64315134 76136778 84104406 87333363 109975346 114205167 121484142 164963019 174666726 182226213 228410334 262000089 329926038 342615501 364452426 494889057 524000178 546678639 685231002 989778114 1093357278 1484667171 2969334342 4454001513 7598500207 8908003026 15197000414 22795500621 45591001242 68386501863 98780502691 129174503519 136773003726 197561005382 205159505589 258349007038 296341508073 387523510557 410319011178 592683016146 615478516767 775047021114 889024524219 1162570531671 1230957033534 1679268545747 1778049048438 2325141063342 2667073572657 3358537091494 3487711595013 5037805637241 5334147145314 6975423190026 8001220717971 10075611274482 10463134785039 15113416911723 16002441435942 20926269570078 30226833823446 45340250735169 90680501470338 136020752205507 272041504411014