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14279000769 = 32114715120323
BaseRepresentation
bin11010100110001100…
…00100001011000001
31100212010110101200100
431103012010023001
5213220411011034
610320520313013
71013563334565
oct152306041301
940763411610
1014279000769
11606813a690
122926012769
1314673667a7
149965816a5
15588895099
hex3531842c1

14279000769 has 48 divisors (see below), whose sum is σ = 23132289024. Its totient is φ = 8413308000.

The previous prime is 14279000761. The next prime is 14279000797. The reversal of 14279000769 is 96700097241.

It is not a de Polignac number, because 14279000769 - 23 = 14279000761 is a prime.

It is a super-2 number, since 2×142790007692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14279000761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692442 + ... + 712764.

It is an arithmetic number, because the mean of its divisors is an integer number (481922688).

Almost surely, 214279000769 is an apocalyptic number.

14279000769 is the 63873-rd nonagonal number.

It is an amenable number.

14279000769 is a deficient number, since it is larger than the sum of its proper divisors (8853288255).

14279000769 is a wasteful number, since it uses less digits than its factorization.

14279000769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20538 (or 20535 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 14279000769 in words is "fourteen billion, two hundred seventy-nine million, seven hundred sixty-nine", and thus it is an aban number.

Divisors: 1 3 9 11 33 47 99 141 151 423 453 517 1359 1551 1661 4653 4983 7097 14949 20323 21291 60969 63873 78067 182907 223553 234201 670659 702603 955181 2011977 2865543 3068773 8596629 9206319 10506991 27618957 31520973 33756503 94562919 101269509 144232331 303808527 432696993 1298090979 1586555641 4759666923 14279000769