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12144513304 = 2371119715119
BaseRepresentation
bin10110100111101111…
…01001000100011000
31011100101001012100001
423103313221010120
5144332443411204
65325031022344
7606644442220
oct132367510430
934311035301
1012144513304
115172296660
12242b20a9b4
1311b7092261
14832cb9080
154b12b94a4
hex2d3de9118

12144513304 has 32 divisors (see below), whose sum is σ = 28389772800. Its totient is φ = 4731628320.

The previous prime is 12144513247. The next prime is 12144513319. The reversal of 12144513304 is 40331544121.

12144513304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9856944 + ... + 9858175.

It is an arithmetic number, because the mean of its divisors is an integer number (887180400).

Almost surely, 212144513304 is an apocalyptic number.

12144513304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12144513304 is an abundant number, since it is smaller than the sum of its proper divisors (16245259496).

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

12144513304 is a wasteful number, since it uses less digits than its factorization.

12144513304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19715143 (or 19715139 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 12144513304 in words is "twelve billion, one hundred forty-four million, five hundred thirteen thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 19715119 39430238 78860476 138005833 157720952 216866309 276011666 433732618 552023332 867465236 1104046664 1518064163 1734930472 3036128326 6072256652 12144513304