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12344111424 = 263330723269
BaseRepresentation
bin10110111111100010…
…00011000101000000
31011212021121211111000
423133301003011000
5200240043031144
65400521052000
7614620134021
oct133761030500
934767554430
1012344111424
115264a24687
122486027000
131219538658
148515d4c48
154c3a94769
hex2dfc43140

12344111424 has 112 divisors (see below), whose sum is σ = 36409172800. Its totient is φ = 4101124608.

The previous prime is 12344111419. The next prime is 12344111453. The reversal of 12344111424 is 42411144321.

12344111424 is a `hidden beast` number, since 1 + 234 + 4 + 1 + 1 + 1 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518862 + ... + 542130.

It is an arithmetic number, because the mean of its divisors is an integer number (325081900).

Almost surely, 212344111424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12344111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18204586400).

12344111424 is an abundant number, since it is smaller than the sum of its proper divisors (24065061376).

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

12344111424 is a wasteful number, since it uses less digits than its factorization.

12344111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23597 (or 23581 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 12344111424 its reverse (42411144321), we get a palindrome (54755255745).

The spelling of 12344111424 in words is "twelve billion, three hundred forty-four million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 307 432 576 614 864 921 1228 1728 1842 2456 2763 3684 4912 5526 7368 8289 9824 11052 14736 16578 19648 22104 23269 29472 33156 44208 46538 58944 66312 69807 88416 93076 132624 139614 176832 186152 209421 265248 279228 372304 418842 530496 558456 628263 744608 837684 1116912 1256526 1489216 1675368 2233824 2513052 3350736 4467648 5026104 6701472 7143583 10052208 13402944 14287166 20104416 21430749 28574332 40208832 42861498 57148664 64292247 85722996 114297328 128584494 171445992 192876741 228594656 257168988 342891984 385753482 457189312 514337976 685783968 771506964 1028675952 1371567936 1543013928 2057351904 3086027856 4114703808 6172055712 12344111424