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24143014104 = 23311538320789
BaseRepresentation
bin10110011111000010…
…010010100011011000
32022022120100012011120
4112133002102203120
5343421102422404
615031404325240
71513200143136
oct263702224330
968276305146
1024143014104
11a26a113920
124819543820
132379b20581
141250626756
159648409d9
hex59f0928d8

24143014104 has 128 divisors (see below), whose sum is σ = 67898476800. Its totient is φ = 7091202560.

The previous prime is 24143014039. The next prime is 24143014139. The reversal of 24143014104 is 40141034142.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1150942 + ... + 1171730.

It is an arithmetic number, because the mean of its divisors is an integer number (530456850).

Almost surely, 224143014104 is an apocalyptic number.

24143014104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24143014104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33949238400).

24143014104 is an abundant number, since it is smaller than the sum of its proper divisors (43755462696).

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

24143014104 is a wasteful number, since it uses less digits than its factorization.

24143014104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20945 (or 20941 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 24143014104 its reverse (40141034142), we get a palindrome (64284048246).

The spelling of 24143014104 in words is "twenty-four billion, one hundred forty-three million, fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 83 88 106 132 159 166 212 249 264 318 332 424 498 583 636 664 913 996 1166 1272 1749 1826 1992 2332 2739 3498 3652 4399 4664 5478 6996 7304 8798 10956 13197 13992 17596 20789 21912 26394 35192 41578 48389 52788 62367 83156 96778 105576 124734 145167 166312 193556 228679 249468 290334 387112 457358 498936 580668 686037 914716 1101817 1161336 1372074 1725487 1829432 2203634 2744148 3305451 3450974 4407268 5176461 5488296 6610902 6901948 8814536 10352922 12119987 13221804 13803896 18980357 20705844 24239974 26443608 36359961 37960714 41411688 48479948 56941071 72719922 75921428 91450811 96959896 113882142 145439844 151842856 182901622 227764284 274352433 290879688 365803244 455528568 548704866 731606488 1005958921 1097409732 2011917842 2194819464 3017876763 4023835684 6035753526 8047671368 12071507052 24143014104