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142102674596340 = 223252994372884681
BaseRepresentation
bin100000010011110111011011…
…011100001110000111110100
3200122010212211201110022020200
4200103313123130032013310
5122111202234144040330
61222121022325000500
741634402514332453
oct4023673334160764
9618125751408220
10142102674596340
1141307451222a27
1213b3054a253130
13613a2bc915093
142713b400dab9a
15116663b41ba60
hex813ddb70e1f4

142102674596340 has 144 divisors (see below), whose sum is σ = 445955798368080. Its totient is φ = 36583465605120.

The previous prime is 142102674596339. The next prime is 142102674596359. The reversal of 142102674596340 is 43695476201241.

142102674596340 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 0 + 2 + 6 + 7 + 4 + 596 + 3 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18272649721104 + 123830024875236 = 4274652^2 + 11127894^2 .

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, 47818800 + ... + 50703480.

It is an arithmetic number, because the mean of its divisors is an integer number (3096915266445).

Almost surely, 2142102674596340 is an apocalyptic number.

142102674596340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142102674596340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222977899184040).

142102674596340 is an abundant number, since it is smaller than the sum of its proper divisors (303853123771740).

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

142102674596340 is a wasteful number, since it uses less digits than its factorization.

142102674596340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894162 (or 2894157 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 142102674596340 in words is "one hundred forty-two trillion, one hundred two billion, six hundred seventy-four million, five hundred ninety-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 9437 18874 28311 37748 47185 56622 84933 94370 113244 141555 169866 188740 273673 283110 339732 424665 547346 566220 821019 849330 1094692 1368365 1642038 1698660 2463057 2736730 2884681 3284076 4105095 4926114 5473460 5769362 8210190 8654043 9852228 11538724 12315285 14423405 16420380 17308086 24630570 25962129 28846810 34616172 43270215 49261140 51924258 57693620 83655749 86540430 103848516 129810645 167311498 173080860 250967247 259621290 334622996 418278745 501934494 519242580 752901741 836557490 1003868988 1254836235 1505803482 1673114980 2509672470 3011606964 3764508705 5019344940 7529017410 15058034820 27222734597 54445469194 81668203791 108890938388 136113672985 163336407582 245004611373 272227345970 326672815164 408341018955 490009222746 544454691940 789459303313 816682037910 980018445492 1225023056865 1578918606626 1633364075820 2368377909939 2450046113730 3157837213252 3947296516565 4736755819878 4900092227460 7105133729817 7894593033130 9473511639756 11841889549695 14210267459634 15789186066260 23683779099390 28420534919268 35525668649085 47367558198780 71051337298170 142102674596340