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12144431304 = 2333173307307
BaseRepresentation
bin10110100111101110…
…10101000011001000
31011100100220000212000
423103313111003020
5144332433300204
65325025151000
7606643651155
oct132367250310
934310800760
1012144431304
11517223aa95
12242b18b460
1311b7063b35
14832c9722c
154b12a0039
hex2d3dd50c8

12144431304 has 64 divisors (see below), whose sum is σ = 35718926400. Its totient is φ = 3810016512.

The previous prime is 12144431293. The next prime is 12144431333. The reversal of 12144431304 is 40313444121.

12144431304 is a `hidden beast` number, since 1 + 214 + 443 + 1 + 3 + 0 + 4 = 666.

12144431304 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 (27).

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 15 ways as a sum of consecutive naturals, for example, 1649982 + ... + 1657325.

It is an arithmetic number, because the mean of its divisors is an integer number (558108225).

Almost surely, 212144431304 is an apocalyptic number.

It is an amenable number.

12144431304 is an abundant number, since it is smaller than the sum of its proper divisors (23574495096).

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

12144431304 is a wasteful number, since it uses less digits than its factorization.

12144431304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307339 (or 3307329 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12144431304 its reverse (40313444121), we get a palindrome (52457875425).

The spelling of 12144431304 in words is "twelve billion, one hundred forty-four million, four hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 3307307 6614614 9921921 13229228 19843842 26458456 29765763 39687684 56224219 59531526 79375368 89297289 112448438 119063052 168672657 178594578 224896876 238126104 337345314 357189156 449793752 506017971 674690628 714378312 1012035942 1349381256 1518053913 2024071884 3036107826 4048143768 6072215652 12144431304