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14220142242012 = 22327538312827719
BaseRepresentation
bin1100111011101110001010…
…0001101110100011011100
31212100102200011101112212100
43032323202201232203130
53330440322403221022
650124350531205100
72665241244500160
oct316734241564334
955312604345770
1014220142242012
114592801639393
121717b60a46790
137c1c52261705
143723896a0ca0
15199d728391ac
hexceee286e8dc

14220142242012 has 144 divisors (see below), whose sum is σ = 42359799605760. Its totient is φ = 3938212047744.

The previous prime is 14220142241989. The next prime is 14220142242041. The reversal of 14220142242012 is 21024224102241.

14220142242012 is a `hidden beast` number, since 1 + 4 + 2 + 201 + 4 + 22 + 420 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5305312 + ... + 7522407.

It is an arithmetic number, because the mean of its divisors is an integer number (294165275040).

Almost surely, 214220142242012 is an apocalyptic number.

14220142242012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14220142242012 is an abundant number, since it is smaller than the sum of its proper divisors (28139657363748).

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

14220142242012 is a wasteful number, since it uses less digits than its factorization.

14220142242012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12827872 (or 12827867 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 14220142242012 its reverse (21024224102241), we get a palindrome (35244366344253).

The spelling of 14220142242012 in words is "fourteen trillion, two hundred twenty billion, one hundred forty-two million, two hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 83 84 106 126 159 166 212 249 252 318 332 371 477 498 581 636 742 747 954 996 1113 1162 1484 1494 1743 1908 2226 2324 2988 3339 3486 4399 4452 5229 6678 6972 8798 10458 13197 13356 17596 20916 26394 30793 39591 52788 61586 79182 92379 123172 158364 184758 277137 369516 554274 1108548 12827719 25655438 38483157 51310876 76966314 89794033 115449471 153932628 179588066 230898942 269382099 359176132 461797884 538764198 679869107 808146297 1064700677 1077528396 1359738214 1616292594 2039607321 2129401354 2719476428 3194102031 3232585188 4079214642 4258802708 4759083749 6118821963 6388204062 7452904739 8158429284 9518167498 9582306093 12237643926 12776408124 14277251247 14905809478 19036334996 19164612186 22358714217 24475287852 28554502494 29811618956 38329224372 42831753741 44717428434 56429135881 57109004988 67076142651 85663507482 89434856868 112858271762 134152285302 169287407643 171327014964 225716543524 268304570604 338574815286 395003951167 507862222929 677149630572 790007902334 1015724445858 1185011853501 1580015804668 2031448891716 2370023707002 3555035560503 4740047414004 7110071121006 14220142242012