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14241541245399 = 32132513671321391
BaseRepresentation
bin1100111100111101111000…
…0000011100100111010111
31212102110220111101112222100
43033033132000130213113
53331313134024323044
650142250154133143
72666626445146146
oct317173600344727
955373814345870
1014241541245399
1145a0892836356
1217201334211b3
137c3c827292b0
143734196b975d
1519a6c62ee869
hexcf3de01c9d7

14241541245399 has 48 divisors (see below), whose sum is σ = 22302390749184. Its totient is φ = 8705317320000.

The previous prime is 14241541245397. The next prime is 14241541245401. The reversal of 14241541245399 is 99354214514241.

14241541245399 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 1 + 5 + 4 + 1 + 245 + 399 = 666.

It is an interprime number because it is at equal distance from previous prime (14241541245397) and next prime (14241541245401).

It is not a de Polignac number, because 14241541245399 - 21 = 14241541245397 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14241541245397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10116994 + ... + 11438384.

It is an arithmetic number, because the mean of its divisors is an integer number (464633140608).

Almost surely, 214241541245399 is an apocalyptic number.

14241541245399 is a deficient number, since it is larger than the sum of its proper divisors (8060849503785).

14241541245399 is a wasteful number, since it uses less digits than its factorization.

14241541245399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322028 (or 1322025 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 14241541245399 in words is "fourteen trillion, two hundred forty-one billion, five hundred forty-one million, two hundred forty-five thousand, three hundred ninety-nine".

Divisors: 1 3 9 13 39 117 251 367 753 1101 2259 3263 3303 4771 9789 14313 29367 42939 92117 276351 829053 1197521 1321391 3592563 3964173 10777689 11892519 17178083 51534249 154602747 331669141 484950497 995007423 1454851491 2985022269 4311698833 4364554473 6304356461 12935096499 18913069383 38805289497 56739208149 121722574747 365167724241 1095503172723 1582393471711 4747180415133 14241541245399