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14083293645 = 3252331438937
BaseRepresentation
bin11010001110110111…
…00000000111001101
31100100111012102222100
431013123200013031
5212320310344040
610245245505313
71005666010101
oct150733400715
940314172870
1014083293645
115a77719a63
122890572239
131435953465
14978599901
155765d7b30
hex3476e01cd

14083293645 has 48 divisors (see below), whose sum is σ = 26294141952. Its totient is φ = 6952746240.

The previous prime is 14083293641. The next prime is 14083293659. The reversal of 14083293645 is 54639238041.

14083293645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14083293645 - 22 = 14083293641 is a prime.

It is a super-3 number, since 3×140832936453 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14083293645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14083293641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187384 + ... + 251553.

It is an arithmetic number, because the mean of its divisors is an integer number (547794624).

Almost surely, 214083293645 is an apocalyptic number.

14083293645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14083293645 is a deficient number, since it is larger than the sum of its proper divisors (12210848307).

14083293645 is a wasteful number, since it uses less digits than its factorization.

14083293645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439002 (or 438999 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 14083293645 in words is "fourteen billion, eighty-three million, two hundred ninety-three thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 23 31 45 69 93 115 155 207 279 345 465 713 1035 1395 2139 3565 6417 10695 32085 438937 1316811 2194685 3950433 6584055 10095551 13607047 19752165 30286653 40821141 50477755 68035235 90859959 122463423 151433265 204105705 312962081 454299795 612317115 938886243 1564810405 2816658729 4694431215 14083293645