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424323343323424 = 25791015297313739
BaseRepresentation
bin110000001111010110111101…
…0001001100001000100100000
32001122101220201100221001021001
41200132231322021201010200
5421104103201342322144
64102243241452441344
7155243231003611366
oct14036557211410440
92048356640831231
10424323343323424
11113225579245a26
123b710859179254
131529c69a6a420c
1476ad506285636
15340c955b58bd4
hex181eb7a261120

424323343323424 has 96 divisors (see below), whose sum is σ = 854500958841600. Its totient is φ = 207362244710400.

The previous prime is 424323343323391. The next prime is 424323343323431.

424323343323424 is nontrivially palindromic in base 10.

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, 1352315547 + ... + 1352629285.

It is an arithmetic number, because the mean of its divisors is an integer number (8901051654600).

Almost surely, 2424323343323424 is an apocalyptic number.

It is an amenable number.

424323343323424 is an abundant number, since it is smaller than the sum of its proper divisors (430177615518176).

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

424323343323424 is a wasteful number, since it uses less digits than its factorization.

424323343323424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319226 (or 319218 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 46.

The spelling of 424323343323424 in words is "four hundred twenty-four trillion, three hundred twenty-three billion, three hundred forty-three million, three hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 79 101 158 202 316 404 632 808 1264 1616 2528 3232 5297 7979 10594 15958 21188 31916 42376 63832 84752 127664 169504 255328 313739 418463 534997 627478 836926 1069994 1254956 1673852 2139988 2509912 3347704 4279976 5019824 6695408 8559952 10039648 13390816 17119904 24785381 31687639 42264763 49570762 63375278 84529526 99141524 126750556 169059052 198283048 253501112 338118104 396566096 507002224 676236208 793132192 1014004448 1352472416 1661875483 2503323481 3323750966 5006646962 6647501932 10013293924 13295003864 20026587848 26590007728 40053175696 53180015456 80106351392 131288163157 167849423783 262576326314 335698847566 525152652628 671397695132 1050305305256 1342795390264 2100610610512 2685590780528 4201221221024 5371181561056 13260104478857 26520208957714 53040417915428 106080835830856 212161671661712 424323343323424