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42421111112424 = 23311237394805963
BaseRepresentation
bin10011010010100111011110…
…10000100100001011101000
312120012102022011121212020010
421221103233100210023220
521030011413421044144
6230115553413531520
711635552451664402
oct1151235720441350
9176172264555203
1042421111112424
1112575768341500
1249115b4343ba0
131a893a80b6765
14a6929ac05b72
154d870cb8c5b9
hex2694ef4242e8

42421111112424 has 96 divisors (see below), whose sum is σ = 119720960523360. Its totient is φ = 12507452876160.

The previous prime is 42421111112353. The next prime is 42421111112447.

It is a happy number.

42421111112424 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 42421111112391 and 42421111112400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197295534 + ... + 197510429.

It is an arithmetic number, because the mean of its divisors is an integer number (1247093338785).

Almost surely, 242421111112424 is an apocalyptic number.

42421111112424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42421111112424 is an abundant number, since it is smaller than the sum of its proper divisors (77299849410936).

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

42421111112424 is a wasteful number, since it uses less digits than its factorization.

42421111112424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394806031 (or 394806016 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

It can be divided in two parts, 4242111 and 1112424, that added together give a palindrome (5354535).

The spelling of 42421111112424 in words is "forty-two trillion, four hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 121 132 148 222 242 264 296 363 407 444 484 726 814 888 968 1221 1452 1628 2442 2904 3256 4477 4884 8954 9768 13431 17908 26862 35816 53724 107448 394805963 789611926 1184417889 1579223852 2368835778 3158447704 4342865593 4737671556 8685731186 9475343112 13028596779 14607820631 17371462372 26057193558 29215641262 34742924744 43823461893 47771521523 52114387116 58431282524 87646923786 95543043046 104228774232 116862565048 143314564569 160686026941 175293847572 191086086092 286629129138 321372053882 350587695144 382172172184 482058080823 573258258276 642744107764 964116161646 1146516516552 1285488215528 1767546296351 1928232323292 3535092592702 3856464646584 5302638889053 7070185185404 10605277778106 14140370370808 21210555556212 42421111112424