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14105465121 = 3112916788259
BaseRepresentation
bin11010010001100000…
…00101000100100001
31100102000220212112010
431020300011010201
5212341444340441
610251401023133
71006355322006
oct151060050441
940360825463
1014105465121
115a891927a0
122897a84aa9
13143a417087
1497b4cb8ad
15578517116
hex348c05121

14105465121 has 32 divisors (see below), whose sum is σ = 21351859200. Its totient is φ = 8204463680.

The previous prime is 14105465117. The next prime is 14105465137. The reversal of 14105465121 is 12156450141.

It is a cyclic number.

It is not a de Polignac number, because 14105465121 - 22 = 14105465117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14105465111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115690 + ... + 203948.

It is an arithmetic number, because the mean of its divisors is an integer number (667245600).

Almost surely, 214105465121 is an apocalyptic number.

14105465121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14105465121 is a deficient number, since it is larger than the sum of its proper divisors (7246394079).

14105465121 is a wasteful number, since it uses less digits than its factorization.

14105465121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88469.

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 14105465121 in words is "fourteen billion, one hundred five million, four hundred sixty-five thousand, one hundred twenty-one".

Divisors: 1 3 11 29 33 87 167 319 501 957 1837 4843 5511 14529 53273 88259 159819 264777 970849 2559511 2912547 7678533 14739253 28154621 44217759 84463863 162131783 427438337 486395349 1282315011 4701821707 14105465121