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12144562317 = 324159355501
BaseRepresentation
bin10110100111101111…
…10101000010001101
31011100101010200120100
423103313311002031
5144333001443232
65325032041313
7606645035136
oct132367650215
934311120510
1012144562317
11517231a468
12242b233239
1311b70ab664
14832cccc8d
154b12c8c7c
hex2d3df508d

12144562317 has 24 divisors (see below), whose sum is σ = 18000630648. Its totient is φ = 7885440000.

The previous prime is 12144562303. The next prime is 12144562361. The reversal of 12144562317 is 71326544121.

12144562317 is a `hidden beast` number, since 1 + 2 + 14 + 4 + 5 + 623 + 17 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1374481476 + 10770080841 = 37074^2 + 103779^2 .

It is not a de Polignac number, because 12144562317 - 28 = 12144562061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144562117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191067 + ... + 246567.

It is an arithmetic number, because the mean of its divisors is an integer number (750026277).

Almost surely, 212144562317 is an apocalyptic number.

It is an amenable number.

12144562317 is a deficient number, since it is larger than the sum of its proper divisors (5856068331).

12144562317 is a wasteful number, since it uses less digits than its factorization.

12144562317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56141 (or 56138 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 12144562317 in words is "twelve billion, one hundred forty-four million, five hundred sixty-two thousand, three hundred seventeen".

Divisors: 1 3 9 41 123 369 593 1779 5337 24313 55501 72939 166503 218817 499509 2275541 6826623 20479869 32912093 98736279 296208837 1349395813 4048187439 12144562317