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244131330312 = 23325935717897
BaseRepresentation
bin1110001101011101011…
…1000111100100001000
3212100010221011112202200
43203113113013210020
512444440110032222
6304052525400200
723431542032412
oct3432727074410
9770127145680
10244131330312
1194598853911
123b393109060
131a03828628c
14bb5d22b9b2
15653c9c3eac
hex38d75c7908

244131330312 has 48 divisors (see below), whose sum is σ = 662304125340. Its totient is φ = 81239866368.

The previous prime is 244131330301. The next prime is 244131330323. The reversal of 244131330312 is 213033131442.

It is a happy number.

244131330312 is a `hidden beast` number, since 2 + 4 + 4 + 1 + 313 + 30 + 312 = 666.

244131330312 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (244131330301) and next prime (244131330323).

It can be written as a sum of positive squares in 2 ways, for example, as 231489925956 + 12641404356 = 481134^2 + 112434^2 .

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 11 ways as a sum of consecutive naturals, for example, 2816253 + ... + 2901644.

Almost surely, 2244131330312 is an apocalyptic number.

It is an amenable number.

244131330312 is an abundant number, since it is smaller than the sum of its proper divisors (418172795028).

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

244131330312 is a wasteful number, since it uses less digits than its factorization.

244131330312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718502 (or 5718495 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 244131330312 its reverse (213033131442), we get a palindrome (457164461754).

The spelling of 244131330312 in words is "two hundred forty-four billion, one hundred thirty-one million, three hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 593 1186 1779 2372 3558 4744 5337 7116 10674 14232 21348 42696 5717897 11435794 17153691 22871588 34307382 45743176 51461073 68614764 102922146 137229528 205844292 411688584 3390712921 6781425842 10172138763 13562851684 20344277526 27125703368 30516416289 40688555052 61032832578 81377110104 122065665156 244131330312