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24138466483142 = 21117234710941067
BaseRepresentation
bin1010111110100001011001…
…01110000101101111000110
310011110121121020021100200102
411133100230232011233012
511130441034404430032
6123201020341244102
75040642462512504
oct537205456055706
9104417536240612
1024138466483142
11776708004a940
12285a243703632
13106132b04551b
145d644527d674
152bcd6c0e7362
hex15f42cb85bc6

24138466483142 has 48 divisors (see below), whose sum is σ = 42080397870528. Its totient is φ = 10296856033920.

The previous prime is 24138466483133. The next prime is 24138466483189.

24138466483142 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3264308 + ... + 7676759.

It is an arithmetic number, because the mean of its divisors is an integer number (876674955636).

Almost surely, 224138466483142 is an apocalyptic number.

24138466483142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24138466483142 is a deficient number, since it is larger than the sum of its proper divisors (17941931387386).

24138466483142 is a wasteful number, since it uses less digits than its factorization.

24138466483142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10941461 (or 10941444 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 56.

It can be divided in two parts, 2413846 and 6483142, that added together give a palindrome (8896988).

The spelling of 24138466483142 in words is "twenty-four trillion, one hundred thirty-eight billion, four hundred sixty-six million, four hundred eighty-three thousand, one hundred forty-two".

Divisors: 1 2 11 17 22 34 187 289 347 374 578 694 3179 3817 5899 6358 7634 11798 64889 100283 129778 200566 1103113 2206226 10941067 21882134 120351737 185998139 240703474 371996278 2045979529 3161968363 3796550249 4091959058 6323936726 7593100498 34781651993 41762052739 64541354233 69563303986 83524105478 129082708466 709954896563 1097203021961 1419909793126 2194406043922 12069233241571 24138466483142