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12044214144 = 273210455047
BaseRepresentation
bin10110011011110010…
…00001111110000000
31011002101022110202100
423031321001332000
5144131304323034
65311045150400
7604316062644
oct131571017600
934071273670
1012044214144
115120710396
1224016bb400
13119c375541
1482384ac24
154a75a6099
hex2cde41f80

12044214144 has 48 divisors (see below), whose sum is σ = 34658484120. Its totient is φ = 4014737664.

The previous prime is 12044214139. The next prime is 12044214151. The reversal of 12044214144 is 44141244021.

It is a happy number.

12044214144 is a `hidden beast` number, since 1 + 204 + 42 + 1 + 414 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5226372 + ... + 5228675.

Almost surely, 212044214144 is an apocalyptic number.

It is an amenable number.

12044214144 is an abundant number, since it is smaller than the sum of its proper divisors (22614269976).

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

12044214144 is a wasteful number, since it uses less digits than its factorization.

12044214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10455067 (or 10455052 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 12044214144 its reverse (44141244021), we get a palindrome (56185458165).

The spelling of 12044214144 in words is "twelve billion, forty-four million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 10455047 20910094 31365141 41820188 62730282 83640376 94095423 125460564 167280752 188190846 250921128 334561504 376381692 501842256 669123008 752763384 1003684512 1338246016 1505526768 2007369024 3011053536 4014738048 6022107072 12044214144