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12344431241 = 5310316313873
BaseRepresentation
bin10110111111100100…
…10001001010001001
31011212022020002012002
423133302101022021
5200240133244431
65400532000345
7614622635312
oct133762211211
934768202162
1012344431241
11526512299a
1224861600b5
13121961b0ac
14851679609
154c3b093cb
hex2dfc91289

12344431241 has 16 divisors (see below), whose sum is σ = 12778286976. Its totient is φ = 11919488256.

The previous prime is 12344431199. The next prime is 12344431261. The reversal of 12344431241 is 14213444321.

12344431241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12344431241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12344431261) 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 15 ways as a sum of consecutive naturals, for example, 882881 + ... + 896753.

It is an arithmetic number, because the mean of its divisors is an integer number (798642936).

Almost surely, 212344431241 is an apocalyptic number.

It is an amenable number.

12344431241 is a deficient number, since it is larger than the sum of its proper divisors (433855735).

12344431241 is a wasteful number, since it uses less digits than its factorization.

12344431241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14192.

The product of its digits is 9216, while the sum is 29.

Adding to 12344431241 its reverse (14213444321), we get a palindrome (26557875562).

The spelling of 12344431241 in words is "twelve billion, three hundred forty-four million, four hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 53 103 163 5459 8639 13873 16789 735269 889817 1428919 2261299 75732707 119848847 232913797 12344431241