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12144910313 = 171577345293
BaseRepresentation
bin10110100111110010…
…01001111111101001
31011100101210100221002
423103321021333221
5144333044112223
65325043324345
7606651014534
oct132371117751
934311710832
1012144910313
115172537968
12242b3806b5
1311b71a0b83
14832d7da1b
154b1346e28
hex2d3e49fe9

12144910313 has 8 divisors (see below), whose sum is σ = 12860416008. Its totient is φ = 11429526784.

The previous prime is 12144910301. The next prime is 12144910361. The reversal of 12144910313 is 31301944121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4519603984 + 7625306329 = 67228^2 + 87323^2 .

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-12144910313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12144910013) 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, 245495 + ... + 290787.

It is an arithmetic number, because the mean of its divisors is an integer number (1607552001).

Almost surely, 212144910313 is an apocalyptic number.

It is an amenable number.

12144910313 is a deficient number, since it is larger than the sum of its proper divisors (715505695).

12144910313 is a wasteful number, since it uses less digits than its factorization.

12144910313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61083.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 12144910313 in words is "twelve billion, one hundred forty-four million, nine hundred ten thousand, three hundred thirteen".

Divisors: 1 17 15773 45293 268141 769981 714406489 12144910313