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14447037132 = 22321136482417
BaseRepresentation
bin11010111010001110…
…00100101011001100
31101021211122112020100
431131013010223030
5214041420142012
610345322051100
71021003534533
oct153507045314
941254575210
1014447037132
116143a80910
122972349a90
13149310c0a8
149b0a0331a
155984d88dc
hex35d1c4acc

14447037132 has 36 divisors (see below), whose sum is σ = 39838800456. Its totient is φ = 4377889920.

The previous prime is 14447037113. The next prime is 14447037133. The reversal of 14447037132 is 23173074441.

14447037132 is a `hidden beast` number, since 144 + 470 + 37 + 13 + 2 = 666.

14447037132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14447037133) 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 11 ways as a sum of consecutive naturals, for example, 18240813 + ... + 18241604.

It is an arithmetic number, because the mean of its divisors is an integer number (1106633346).

Almost surely, 214447037132 is an apocalyptic number.

14447037132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14447037132 is an abundant number, since it is smaller than the sum of its proper divisors (25391763324).

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

14447037132 is a wasteful number, since it uses less digits than its factorization.

14447037132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36482438 (or 36482433 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 14447037132 in words is "fourteen billion, four hundred forty-seven million, thirty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 36482417 72964834 109447251 145929668 218894502 328341753 401306587 437789004 656683506 802613174 1203919761 1313367012 1605226348 2407839522 3611759283 4815679044 7223518566 14447037132