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12014144260140 = 223511118081154159
BaseRepresentation
bin1010111011010100001011…
…0011010000100000101100
31120112112121100222222002010
42232311002303100200230
53033314431412311030
641315115514401220
72346664460153361
oct256650263204054
946475540888063
1012014144260140
1139121962548a0
121420508730210
13691c0cb6ab99
142d76b82c8468
1515c7aea4c6b0
hexaed42cd082c

12014144260140 has 96 divisors (see below), whose sum is σ = 36698298577920. Its totient is φ = 2912476262400.

The previous prime is 12014144260123. The next prime is 12014144260171. The reversal of 12014144260140 is 4106244141021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12014144260098 and 12014144260107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77856381 + ... + 78010539.

It is an arithmetic number, because the mean of its divisors is an integer number (382273943520).

Almost surely, 212014144260140 is an apocalyptic number.

12014144260140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12014144260140 is an abundant number, since it is smaller than the sum of its proper divisors (24684154317780).

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

12014144260140 is a wasteful number, since it uses less digits than its factorization.

12014144260140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272263 (or 272261 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 12014144260140 in words is "twelve trillion, fourteen billion, one hundred forty-four million, two hundred sixty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 118081 154159 236162 308318 354243 462477 472324 590405 616636 708486 770795 924954 1180810 1298891 1416972 1541590 1695749 1771215 1849908 2312385 2361620 2597782 3083180 3391498 3542430 3896673 4624770 5087247 5195564 6494455 6782996 7084860 7793346 8478745 9249540 10174494 12988910 15586692 16957490 19483365 20348988 25436235 25977820 33914980 38966730 50872470 77933460 101744940 18203248879 36406497758 54609746637 72812995516 91016244395 109219493274 182032488790 200235737669 218438986548 273048733185 364064977580 400471475338 546097466370 600707213007 800942950676 1001178688345 1092194932740 1201414426014 2002357376690 2402828852028 3003536065035 4004714753380 6007072130070 12014144260140