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14144512305 = 3571141298691
BaseRepresentation
bin11010010110001010…
…00010000100110001
31100111202101200012010
431023011002010301
5212431443343210
610255313553133
71010341241130
oct151305020461
940452350163
1014144512305
115aa92324a0
1228a8b757a9
131445539011
14982773917
1557bb7b920
hex34b142131

14144512305 has 64 divisors (see below), whose sum is σ = 28903827456. Its totient is φ = 5734848000.

The previous prime is 14144512297. The next prime is 14144512307. The reversal of 14144512305 is 50321544141.

It is not a de Polignac number, because 14144512305 - 23 = 14144512297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14144512307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101991 + ... + 196700.

It is an arithmetic number, because the mean of its divisors is an integer number (451622304).

Almost surely, 214144512305 is an apocalyptic number.

14144512305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14144512305 is an abundant number, since it is smaller than the sum of its proper divisors (14759315151).

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

14144512305 is a wasteful number, since it uses less digits than its factorization.

14144512305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298758.

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 14144512305 in words is "fourteen billion, one hundred forty-four million, five hundred twelve thousand, three hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 41 55 77 105 123 165 205 231 287 385 451 615 861 1155 1353 1435 2255 3157 4305 6765 9471 15785 47355 298691 896073 1493455 2090837 3285601 4480365 6272511 9856803 10454185 12246331 16428005 22999207 31362555 36738993 49284015 61231655 68997621 85724317 114996035 134709641 183694965 257172951 344988105 404128923 428621585 673548205 942967487 1285864755 2020644615 2828902461 4714837435 14144512305