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24244142412 = 22375931315629
BaseRepresentation
bin10110100101000100…
…000100000101001100
32022120121122001010110
4112211010010011030
5344123000024122
615045420040020
71515535544640
oct264504040514
968517561113
1024244142412
11a311206036
124847393010
132394a6a7c9
14125dc2cc20
1596d66990c
hex5a510414c

24244142412 has 96 divisors (see below), whose sum is σ = 65961100800. Its totient is φ = 6787302912.

The previous prime is 24244142407. The next prime is 24244142423. The reversal of 24244142412 is 21424144242.

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

It is a self number, because there is not a number n which added to its sum of digits gives 24244142412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1543414 + ... + 1559042.

It is an arithmetic number, because the mean of its divisors is an integer number (687094800).

Almost surely, 224244142412 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 24244142412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32980550400).

24244142412 is an abundant number, since it is smaller than the sum of its proper divisors (41716958388).

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

24244142412 is a wasteful number, since it uses less digits than its factorization.

24244142412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16015 (or 16013 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

Adding to 24244142412 its reverse (21424144242), we get a palindrome (45668286654).

The spelling of 24244142412 in words is "twenty-four billion, two hundred forty-four million, one hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 313 354 413 626 708 826 939 1239 1252 1652 1878 2191 2478 3756 4382 4956 6573 8764 13146 15629 18467 26292 31258 36934 46887 55401 62516 73868 93774 109403 110802 129269 187548 218806 221604 258538 328209 387807 437612 517076 656418 775614 922111 1312836 1551228 1844222 2766333 3688444 4891877 5532666 6454777 9783754 11065332 12909554 14675631 19364331 19567508 25819108 29351262 34243139 38728662 58702524 68486278 77457324 102729417 136972556 205458834 288620743 410917668 577241486 865862229 1154482972 1731724458 2020345201 3463448916 4040690402 6061035603 8081380804 12122071206 24244142412