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14141266161 = 3111996013583
BaseRepresentation
bin11010010101110001…
…01001100011110001
31100111112021202022120
431022320221203301
5212430131004121
610255120224453
71010301531141
oct151270514361
940445252276
1014141266161
115aa7415630
1228a7a6b129
131444970619
1498216a921
1557b739bc6
hex34ae298f1

14141266161 has 32 divisors (see below), whose sum is σ = 20712652800. Its totient is φ = 8510832000.

The previous prime is 14141266127. The next prime is 14141266193. The reversal of 14141266161 is 16166214141.

14141266161 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 14141266161 - 27 = 14141266033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (14141264161) 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 31 ways as a sum of consecutive naturals, for example, 3944976 + ... + 3948558.

It is an arithmetic number, because the mean of its divisors is an integer number (647270400).

Almost surely, 214141266161 is an apocalyptic number.

14141266161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14141266161 is a deficient number, since it is larger than the sum of its proper divisors (6571386639).

14141266161 is a wasteful number, since it uses less digits than its factorization.

14141266161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397.

The product of its digits is 6912, while the sum is 33.

The spelling of 14141266161 in words is "fourteen billion, one hundred forty-one million, two hundred sixty-six thousand, one hundred sixty-one".

Divisors: 1 3 11 33 199 597 601 1803 2189 3583 6567 6611 10749 19833 39413 118239 119599 358797 713017 1315589 2139051 2153383 3946767 6460149 7843187 23529561 23687213 71061639 428523217 1285569651 4713755387 14141266161