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24323144132342 = 21122341229465433
BaseRepresentation
bin1011000011111001011000…
…10111011010011011110110
310012010021021201211222022202
411201330230113122123312
511142002244344213332
6123421522000224502
75060201120601026
oct541745427323366
9105107251758282
1024323144132342
11782842983a100
122889ba390b132
13107587cac3423
146013643c9a86
152c2a7a2d0a62
hex161f2c5da6f6

24323144132342 has 96 divisors (see below), whose sum is σ = 43054581205440. Its totient is φ = 10272270412800.

The previous prime is 24323144132327. The next prime is 24323144132347.

24323144132342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24323144132296 and 24323144132305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24323144132347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52026458 + ... + 52491890.

It is an arithmetic number, because the mean of its divisors is an integer number (448485220890).

Almost surely, 224323144132342 is an apocalyptic number.

24323144132342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24323144132342 is a deficient number, since it is larger than the sum of its proper divisors (18731437073098).

24323144132342 is a wasteful number, since it uses less digits than its factorization.

24323144132342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465750 (or 465739 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 2432314 and 4132342, that added together give a palindrome (6564656).

The spelling of 24323144132342 in words is "twenty-four trillion, three hundred twenty-three billion, one hundred forty-four million, one hundred thirty-two thousand, three hundred forty-two".

Divisors: 1 2 11 22 23 41 46 82 121 229 242 253 451 458 506 902 943 1886 2519 2783 4961 5038 5267 5566 9389 9922 10373 10534 18778 20746 27709 55418 57937 103279 114103 115874 206558 215947 228206 431894 465433 637307 930866 1136069 1274614 2272138 2375417 4750834 5119763 10239526 10704959 19082753 21409918 26129587 38165506 52259174 56317393 106584157 112634786 117754549 209910283 213168314 235509098 419820566 438903319 877806638 1172425727 1295300039 2309013113 2344851454 2451435611 2590600078 4369950437 4618026226 4827936509 4902871222 8739900874 9655873018 12896682997 25793365994 26965791721 48069454807 53107301599 53931583442 96138909614 100508860051 106214603198 201017720102 296623708931 528764002877 593247417862 1057528005754 1105597460561 2211194921122 12161572066171 24323144132342