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24161216142 = 23759103181523
BaseRepresentation
bin10110100000000111…
…101110011010001110
32022100211120221200010
4112200013232122032
5343440232404032
615033254414050
71513510643250
oct264007563216
968324527603
1024161216142
11a279416328
124823661326
1323808244cb
141252c03cd0
15966238ccc
hex5a01ee68e

24161216142 has 128 divisors (see below), whose sum is σ = 57129246720. Its totient is φ = 6670408320.

The previous prime is 24161216089. The next prime is 24161216227.

24161216142 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46197093 + ... + 46197615.

It is an arithmetic number, because the mean of its divisors is an integer number (446322240).

Almost surely, 224161216142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24161216142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28564623360).

24161216142 is an abundant number, since it is smaller than the sum of its proper divisors (32968030578).

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

24161216142 is a wasteful number, since it uses less digits than its factorization.

24161216142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878.

The product of its digits is 4608, while the sum is 30.

The spelling of 24161216142 in words is "twenty-four billion, one hundred sixty-one million, two hundred sixteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 59 103 118 177 181 206 309 354 362 413 523 543 618 721 826 1046 1086 1239 1267 1442 1569 2163 2478 2534 3138 3661 3801 4326 6077 7322 7602 10679 10983 12154 18231 18643 21358 21966 30857 32037 36462 37286 42539 53869 55929 61714 64074 74753 85078 92571 94663 107738 111858 127617 130501 149506 161607 185142 189326 215999 224259 255234 261002 283989 323214 377083 391503 431998 448518 567978 647997 662641 754166 783006 1099937 1131249 1295994 1325282 1987923 2199874 2262498 3178271 3299811 3975846 5585117 6356542 6599622 7699559 9534813 9750289 11170234 15399118 16755351 19069626 19500578 22247897 23098677 29250867 33510702 39095819 44495794 46197354 58501734 66743691 68252023 78191638 117287457 133487382 136504046 204756069 234574914 409512138 575267051 1150534102 1725801153 3451602306 4026869357 8053738714 12080608071 24161216142