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14103141414399 = 324371513270787
BaseRepresentation
bin1100110100111010010010…
…1110111111010111111111
31211221020200011200200102200
43031032210232333113333
53322031213200230044
645554521013322543
72653626664042452
oct315164456772777
954836604620380
1014103141414399
114548121729934
1216b9349636453
137b3bc752bc7b
1436a84a7c7499
15196cc5d12369
hexcd3a4bbf5ff

14103141414399 has 24 divisors (see below), whose sum is σ = 21138544132992. Its totient is φ = 9054096665040.

The previous prime is 14103141414353. The next prime is 14103141414433. The reversal of 14103141414399 is 99341414130141.

14103141414399 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 3 + 1 + 414 + 143 + 99 = 666.

It is not a de Polignac number, because 14103141414399 - 227 = 14103007196671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14103141454399) 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, 256607917 + ... + 256662870.

It is an arithmetic number, because the mean of its divisors is an integer number (880772672208).

Almost surely, 214103141414399 is an apocalyptic number.

14103141414399 is a deficient number, since it is larger than the sum of its proper divisors (7035402718593).

14103141414399 is a wasteful number, since it uses less digits than its factorization.

14103141414399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513270907 (or 513270904 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 14103141414399 in words is "fourteen trillion, one hundred three billion, one hundred forty-one million, four hundred fourteen thousand, three hundred ninety-nine".

Divisors: 1 3 9 43 71 129 213 387 639 3053 9159 27477 513270787 1539812361 4619437083 22070643841 36442225877 66211931523 109326677631 198635794569 327980032893 1567015712711 4701047138133 14103141414399