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12234104144 = 2441101184649
BaseRepresentation
bin10110110010011010…
…11001110101010000
31011120121121212212022
423121031121311100
5200023412313034
65341551151012
7612113112053
oct133115316520
934517555768
1012234104144
115208918579
122455215468
1311cc7ccba2
14840b5aa9a
154b90b4b2e
hex2d9359d50

12234104144 has 40 divisors (see below), whose sum is σ = 24522258600. Its totient is φ = 5908736000.

The previous prime is 12234104059. The next prime is 12234104149. The reversal of 12234104144 is 44140143221.

12234104144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2055715600 + 10178388544 = 45340^2 + 100888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12234104149) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26069 + ... + 158580.

It is an arithmetic number, because the mean of its divisors is an integer number (613056465).

Almost surely, 212234104144 is an apocalyptic number.

It is an amenable number.

12234104144 is an abundant number, since it is smaller than the sum of its proper divisors (12288154456).

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

12234104144 is a wasteful number, since it uses less digits than its factorization.

12234104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184799 (or 184793 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 12234104144 its reverse (44140143221), we get a palindrome (56374247365).

The spelling of 12234104144 in words is "twelve billion, two hundred thirty-four million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 41 82 101 164 202 328 404 656 808 1616 4141 8282 16564 33128 66256 184649 369298 738596 1477192 2954384 7570609 15141218 18649549 30282436 37299098 60564872 74598196 121129744 149196392 298392784 764631509 1529263018 3058526036 6117052072 12234104144