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142360166512656 = 24332318179158641
BaseRepresentation
bin100000010111100111001111…
…001001111011100000010000
3200200001111110202220221111000
4200113213033021323200100
5122124412110111401111
61222435205130222000
741662116431450031
oct4027471711734020
9620044422827430
10142360166512656
11413a6675746854
1213b7242b884900
136158676b91741
1427223a9918a88
15116d1abd1cc56
hex8179cf27b810

142360166512656 has 160 divisors (see below), whose sum is σ = 428748535837440. Its totient is φ = 45139422873600.

The previous prime is 142360166512607. The next prime is 142360166512757. The reversal of 142360166512656 is 656215661063241.

142360166512656 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 6 + 0 + 1 + 66 + 512 + 65 + 6 = 666.

It is a super-2 number, since 2×1423601665126562 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37780905 + ... + 41377736.

It is an arithmetic number, because the mean of its divisors is an integer number (2679678348984).

Almost surely, 2142360166512656 is an apocalyptic number.

142360166512656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142360166512656 is an abundant number, since it is smaller than the sum of its proper divisors (286388369324784).

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

142360166512656 is a wasteful number, since it uses less digits than its factorization.

142360166512656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79158862 (or 79158850 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 142360166512656 in words is "one hundred forty-two trillion, three hundred sixty billion, one hundred sixty-six million, five hundred twelve thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 181 184 207 216 276 362 368 414 432 543 552 621 724 828 1086 1104 1242 1448 1629 1656 2172 2484 2896 3258 3312 4163 4344 4887 4968 6516 8326 8688 9774 9936 12489 13032 16652 19548 24978 26064 33304 37467 39096 49956 66608 74934 78192 99912 112401 149868 199824 224802 299736 449604 599472 899208 1798416 79158641 158317282 237475923 316634564 474951846 633269128 712427769 949903692 1266538256 1424855538 1820648743 1899807384 2137283307 2849711076 3641297486 3799614768 4274566614 5461946229 5699422152 7282594972 8549133228 10923892458 11398844304 14327714021 14565189944 16385838687 17098266456 21847784916 28655428042 29130379888 32771677374 34196532912 42983142063 43695569832 49157516061 57310856084 65543354748 85966284126 87391139664 98315032122 114621712168 128949426189 131086709496 171932568252 196630064244 229243424336 257898852378 262173418992 329537422483 343865136504 386848278567 393260128488 515797704756 659074844966 687730273008 773696557134 786520256976 988612267449 1031595409512 1318149689932 1547393114268 1977224534898 2063190819024 2636299379864 2965836802347 3094786228536 3954449069796 5272598759728 5931673604694 6189572457072 7908898139592 8897510407041 11863347209388 15817796279184 17795020814082 23726694418776 35590041628164 47453388837552 71180083256328 142360166512656