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14233409892 = 22321330413269
BaseRepresentation
bin11010100000110000…
…01001100101100100
31100201221200010202100
431100120021211210
5213122223104032
610312211212100
71012500662562
oct152030114544
940657603670
1014233409892
116044430579
1229128a7030
13145aa93240
149904b4a32
1558488b97c
hex350609964

14233409892 has 36 divisors (see below), whose sum is σ = 38746505980. Its totient is φ = 4379510592.

The previous prime is 14233409881. The next prime is 14233409893. The reversal of 14233409892 is 29890433241.

14233409892 is a `hidden beast` number, since 1 + 4 + 233 + 409 + 8 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1933712676 + 12299697216 = 43974^2 + 110904^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (14233409893) 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 11 ways as a sum of consecutive naturals, for example, 15206167 + ... + 15207102.

Almost surely, 214233409892 is an apocalyptic number.

14233409892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14233409892 is an abundant number, since it is smaller than the sum of its proper divisors (24513096088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14233409892 is a wasteful number, since it uses less digits than its factorization.

14233409892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30413292 (or 30413287 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 14233409892 in words is "fourteen billion, two hundred thirty-three million, four hundred nine thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 30413269 60826538 91239807 121653076 182479614 273719421 364959228 395372497 547438842 790744994 1094877684 1186117491 1581489988 2372234982 3558352473 4744469964 7116704946 14233409892