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24243034242 = 23729431014583
BaseRepresentation
bin10110100100111111…
…110101100010000010
32022120112112202000010
4112210333311202002
5344122204043432
615045340205350
71515523251060
oct264477654202
968515482003
1024243034242
11a310619499
124846b39856
13239477029b
14125da21030
1596d4eb3cc
hex5a4ff5882

24243034242 has 128 divisors (see below), whose sum is σ = 59250216960. Its totient is φ = 6466118400.

The previous prime is 24243034237. The next prime is 24243034339.

24243034242 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5287483 + ... + 5292065.

It is an arithmetic number, because the mean of its divisors is an integer number (462892320).

Almost surely, 224243034242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24243034242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29625108480).

24243034242 is an abundant number, since it is smaller than the sum of its proper divisors (35007182718).

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

24243034242 is a wasteful number, since it uses less digits than its factorization.

24243034242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768.

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 242430 and 34242, that added together give a palindrome (276672).

The spelling of 24243034242 in words is "twenty-four billion, two hundred forty-three million, thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 43 58 86 87 101 129 174 202 203 258 301 303 406 602 606 609 707 903 1218 1247 1414 1806 2121 2494 2929 3741 4242 4343 4583 5858 7482 8686 8729 8787 9166 13029 13749 17458 17574 20503 26058 26187 27498 30401 32081 41006 52374 60802 61509 64162 91203 96243 123018 125947 132907 182406 192486 197069 251894 265814 377841 394138 398721 462883 591207 755682 797442 881629 925766 930349 1182414 1379483 1388649 1763258 1860698 2644887 2758966 2777298 2791047 3240181 4138449 5289774 5582094 5715001 6480362 8276898 9720543 11430002 13423607 17145003 19441086 19903969 26847214 34290006 39807938 40005007 40270821 59711907 80010014 80541642 93965249 119423814 120015021 139327783 187930498 240030042 278655566 281895747 417983349 563791494 577215101 835966698 1154430202 1731645303 3463290606 4040505707 8081011414 12121517121 24243034242