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12144233305 = 517142873333
BaseRepresentation
bin10110100111101101…
…00100101101011001
31011100100111222020201
423103312210231121
5144332410431210
65325021022201
7606642165001
oct132366445531
934310458221
1012144233305
115172115256
12242b0b4961
1311b6cc4989
14832c45001
154b126153a
hex2d3da4b59

12144233305 has 8 divisors (see below), whose sum is σ = 15430320072. Its totient is φ = 9143893248.

The previous prime is 12144233293. The next prime is 12144233327. The reversal of 12144233305 is 50333244121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 612265536 + 11531967769 = 24744^2 + 107387^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 12144233305 - 25 = 12144233273 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 71436582 + ... + 71436751.

It is an arithmetic number, because the mean of its divisors is an integer number (1928790009).

Almost surely, 212144233305 is an apocalyptic number.

It is an amenable number.

12144233305 is a deficient number, since it is larger than the sum of its proper divisors (3286086767).

12144233305 is a wasteful number, since it uses less digits than its factorization.

12144233305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142873355.

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 12144233305 its reverse (50333244121), we get a palindrome (62477477426).

The spelling of 12144233305 in words is "twelve billion, one hundred forty-four million, two hundred thirty-three thousand, three hundred five".

Divisors: 1 5 17 85 142873333 714366665 2428846661 12144233305