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12144123329 = 136115314153
BaseRepresentation
bin10110100111101100…
…01001110111000001
31011100100022101101112
423103312021313001
5144332343421304
65325014413105
7606641226242
oct132366116701
934310271345
1012144123329
11517204a668
12242b061195
1311b6c868c0
14832c16cc9
154b123db6e
hex2d3d89dc1

12144123329 has 8 divisors (see below), whose sum is σ = 13292685672. Its totient is φ = 11026189440.

The previous prime is 12144123323. The next prime is 12144123331. The reversal of 12144123329 is 92332144121.

It can be written as a sum of positive squares in 4 ways, for example, as 277289104 + 11866834225 = 16652^2 + 108935^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12144123329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12144123295 and 12144123304.

It is not an unprimeable number, because it can be changed into a prime (12144123323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7656284 + ... + 7657869.

It is an arithmetic number, because the mean of its divisors is an integer number (1661585709).

Almost surely, 212144123329 is an apocalyptic number.

It is an amenable number.

12144123329 is a deficient number, since it is larger than the sum of its proper divisors (1148562343).

12144123329 is a wasteful number, since it uses less digits than its factorization.

12144123329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15314227.

The product of its digits is 10368, while the sum is 32.

The spelling of 12144123329 in words is "twelve billion, one hundred forty-four million, one hundred twenty-three thousand, three hundred twenty-nine".

Divisors: 1 13 61 793 15314153 199083989 934163333 12144123329