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24136144163142 = 23119711333363667
BaseRepresentation
bin1010111110011101000100…
…10011001001000101000110
310011110101121101102021112120
411133032202103021011012
511130421310401210032
6123155554102030410
75040531103230324
oct537164223110506
9104411541367476
1024136144163142
117766099174510
1228598b5a18406
13106104ab86c8b
145d62a4a80d14
152bcc832b762c
hex15f3a24c9146

24136144163142 has 64 divisors (see below), whose sum is σ = 53674401441024. Its totient is φ = 7174522736640.

The previous prime is 24136144163137. The next prime is 24136144163143.

24136144163142 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×241361441631422 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24136144163094 and 24136144163103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24136144163143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15958408 + ... + 17405259.

It is an arithmetic number, because the mean of its divisors is an integer number (838662522516).

Almost surely, 224136144163142 is an apocalyptic number.

24136144163142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24136144163142 is an abundant number, since it is smaller than the sum of its proper divisors (29538257277882).

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

24136144163142 is a wasteful number, since it uses less digits than its factorization.

24136144163142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33363893.

The product of its digits is 331776, while the sum is 42.

It can be divided in two parts, 2413614 and 4163142, that added together give a palindrome (6576756).

The spelling of 24136144163142 in words is "twenty-four trillion, one hundred thirty-six billion, one hundred forty-four million, one hundred sixty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 97 113 194 226 291 339 582 678 1067 1243 2134 2486 3201 3729 6402 7458 10961 21922 32883 65766 120571 241142 361713 723426 33363667 66727334 100091001 200182002 367000337 734000674 1101001011 2202002022 3236275699 3770094371 6472551398 7540188742 9708827097 11310283113 19417654194 22620566226 35599032689 41471038081 71198065378 82942076162 106797098067 124413114243 213594196134 248826228486 365699153987 731398307974 1097097461961 2194194923922 4022690693857 8045381387714 12068072081571 24136144163142