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14083616483442 = 23211235695435117
BaseRepresentation
bin1100110011110001100011…
…1101010010100001110010
31211212101021110002102101200
43030330120331102201302
53321221221304432232
645541531334312030
72652336100625502
oct314743075224162
954771243072350
1014083616483442
11453a912389260
1216b55ba7b8616
137b21053ba79c
14369917647a02
15196531b3777c
hexccf18f52872

14083616483442 has 96 divisors (see below), whose sum is σ = 34796929864320. Its totient is φ = 4075032572160.

The previous prime is 14083616483437. The next prime is 14083616483459. The reversal of 14083616483442 is 24438461638041.

14083616483442 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 3 + 61 + 64 + 83 + 442 = 666.

14083616483442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 126333 + ... + 5308784.

It is an arithmetic number, because the mean of its divisors is an integer number (362468019420).

Almost surely, 214083616483442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14083616483442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17398464932160).

14083616483442 is an abundant number, since it is smaller than the sum of its proper divisors (20713313380878).

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

14083616483442 is a wasteful number, since it uses less digits than its factorization.

14083616483442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5435728 (or 5435725 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 14083616483442 in words is "fourteen trillion, eighty-three billion, six hundred sixteen million, four hundred eighty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 569 759 1138 1518 1707 2277 3414 4554 5121 6259 10242 12518 13087 18777 26174 37554 39261 56331 78522 112662 117783 143957 235566 287914 431871 863742 1295613 2591226 5435117 10870234 16305351 32610702 48916053 59786287 97832106 119572574 125007691 179358861 250015382 358717722 375023073 538076583 750046146 1076153166 1125069219 1375084601 2250138438 2750169202 3092581573 4125253803 6185163146 8250507606 9277744719 12375761409 18555489438 24751522818 27833234157 34018397303 55666468314 68036794606 71129376179 102055191909 142258752358 204110383818 213388128537 306165575727 426776257074 612331151454 640164385611 782423137969 1280328771222 1564846275938 2347269413907 4694538827814 7041808241721 14083616483442