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2014286185984 = 29891012691627
BaseRepresentation
bin11101010011111100110…
…100000000011000000000
321010120020001211021220111
4131103330310000120000
5231000224230422414
64141203355321104
7265345614040042
oct35237464003000
97116201737814
102014286185984
11707288048866
12286470450194
13117c3c245467
146d6c5d81a92
15375e22e18c4
hex1d4fcd00600

2014286185984 has 160 divisors (see below), whose sum is σ = 4127969498400. Its totient is φ = 981698150400.

The previous prime is 2014286185979. The next prime is 2014286185991. The reversal of 2014286185984 is 4895816824102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1238036179 + ... + 1238037805.

It is an arithmetic number, because the mean of its divisors is an integer number (25799809365).

Almost surely, 22014286185984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014286185984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063984749200).

2014286185984 is an abundant number, since it is smaller than the sum of its proper divisors (2113683312416).

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

2014286185984 is a wasteful number, since it uses less digits than its factorization.

2014286185984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 58.

The spelling of 2014286185984 in words is "two trillion, fourteen billion, two hundred eighty-six million, one hundred eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 89 101 128 178 202 256 269 356 404 512 538 712 808 1076 1424 1616 1627 2152 2848 3232 3254 4304 5696 6464 6508 8608 8989 11392 12928 13016 17216 17978 22784 23941 25856 26032 27169 34432 35956 45568 47882 51712 52064 54338 68864 71912 95764 104128 108676 137728 143824 144803 164327 191528 208256 217352 287648 289606 328654 383056 416512 434704 437663 575296 579212 657308 766112 833024 869408 875326 1150592 1158424 1314616 1532224 1738816 1750652 2301184 2316848 2418041 2629232 3064448 3477632 3501304 4602368 4633696 4836082 5258464 6128896 6955264 7002608 9267392 9672164 10516928 12257792 13910528 14005216 14625103 18534784 19344328 21033856 28010432 29250206 37069568 38688656 38952007 42067712 44203963 56020864 58500412 74139136 77377312 77904014 84135424 88407926 112041728 117000824 154754624 155808028 176815852 224083456 234001648 309509248 311616056 353631704 468003296 619018496 623232112 707263408 936006592 1238036992 1246464224 1414526816 1872013184 2492928448 2829053632 3744026368 3934152707 4985856896 5658107264 7488052736 7868305414 9971713792 11316214528 15736610828 19943427584 22632429056 31473221656 62946443312 125892886624 251785773248 503571546496 1007143092992 2014286185984