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12344251304 = 2372113977211
BaseRepresentation
bin10110111111100011…
…00101001110101000
31011212021212221100202
423133301211032220
5200240112020204
65400524051332
7614621255600
oct133761451650
934767787322
1012344251304
11526500a790
122486093b48
131219587218
1485162dc00
154c3ac0e1e
hex2dfc653a8

12344251304 has 96 divisors (see below), whose sum is σ = 29450057760. Its totient is φ = 4796668800.

The previous prime is 12344251237. The next prime is 12344251307. The reversal of 12344251304 is 40315244321.

It is not an unprimeable number, because it can be changed into a prime (12344251307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1708259 + ... + 1715469.

It is an arithmetic number, because the mean of its divisors is an integer number (306771435).

Almost surely, 212344251304 is an apocalyptic number.

12344251304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12344251304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14725028880).

12344251304 is an abundant number, since it is smaller than the sum of its proper divisors (17105806456).

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

12344251304 is a wasteful number, since it uses less digits than its factorization.

12344251304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7639 (or 7628 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 12344251304 its reverse (40315244321), we get a palindrome (52659495625).

The spelling of 12344251304 in words is "twelve billion, three hundred forty-four million, two hundred fifty-one thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 397 539 616 794 1078 1588 2156 2779 3176 4312 4367 5558 7211 8734 11116 14422 17468 19453 22232 28844 30569 34936 38906 50477 57688 61138 77812 79321 100954 122276 155624 158642 201908 213983 244552 317284 353339 403816 427966 555247 634568 706678 855932 1110494 1413356 1711864 2220988 2826712 2862767 3886729 4441976 5725534 7773458 11451068 15546916 20039369 22902136 31093832 31490437 40078738 62980874 80157476 125961748 140275583 160314952 220433059 251923496 280551166 440866118 561102332 881732236 1122204664 1543031413 1763464472 3086062826 6172125652 12344251304