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14012240322321 = 3241191537198257
BaseRepresentation
bin1100101111100111101010…
…0110110101111100010001
31211121120001010020202100200
43023321322212311330101
53314034032010303241
645445045003405413
72644231243361343
oct313717246657421
954546033222320
1014012240322321
1145126153aaa4a
1216a37bab23869
137a846bb20217
143662a5d67293
151947557e04b6
hexcbe7a9b5f11

14012240322321 has 24 divisors (see below), whose sum is σ = 20733771678984. Its totient is φ = 9113558691840.

The previous prime is 14012240322259. The next prime is 14012240322329. The reversal of 14012240322321 is 12322304221041.

14012240322321 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 22 + 403 + 2 + 232 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1346214870225 + 12666025452096 = 1160265^2 + 3558936^2 .

It is not a de Polignac number, because 14012240322321 - 29 = 14012240321809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14012240322329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70578025 + ... + 70776281.

It is an arithmetic number, because the mean of its divisors is an integer number (863907153291).

Almost surely, 214012240322321 is an apocalyptic number.

It is an amenable number.

14012240322321 is a deficient number, since it is larger than the sum of its proper divisors (6721531356663).

14012240322321 is a wasteful number, since it uses less digits than its factorization.

14012240322321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389841 (or 389838 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14012240322321 its reverse (12322304221041), we get a palindrome (26334544543362).

The spelling of 14012240322321 in words is "fourteen trillion, twelve billion, two hundred forty million, three hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 41 123 369 191537 198257 574611 594771 1723833 1784313 7853017 8128537 23559051 24385611 70677153 73156833 37973551009 113920653027 341761959081 1556915591369 4670746774107 14012240322321