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24011342124 = 22371125234517
BaseRepresentation
bin10110010111001100…
…000000000100101100
32021222101120120011120
4112113030000010230
5343133400421444
615010342220540
71510011016620
oct262714000454
967871516146
1024011342124
11a20185a800
1247a1424750
13235876aa63
14123ad4d180
15957ed1b19
hex59730012c

24011342124 has 144 divisors (see below), whose sum is σ = 70530534144. Its totient is φ = 6223409280.

The previous prime is 24011342111. The next prime is 24011342143. The reversal of 24011342124 is 42124311042.

It is a junction number, because it is equal to n+sod(n) for n = 24011342094 and 24011342103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5313514 + ... + 5318030.

It is an arithmetic number, because the mean of its divisors is an integer number (489795376).

Almost surely, 224011342124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24011342124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35265267072).

24011342124 is an abundant number, since it is smaller than the sum of its proper divisors (46519192020).

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

24011342124 is a wasteful number, since it uses less digits than its factorization.

24011342124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076 (or 5063 counting only the distinct ones).

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

Adding to 24011342124 its reverse (42124311042), we get a palindrome (66135653166).

The spelling of 24011342124 in words is "twenty-four billion, eleven million, three hundred forty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 523 726 847 924 1046 1452 1569 1694 2092 2541 3138 3388 3661 4517 5082 5753 6276 7322 9034 10164 10983 11506 13551 14644 17259 18068 21966 23012 27102 31619 34518 40271 43932 49687 54204 63238 63283 69036 80542 94857 99374 120813 126476 126566 149061 161084 189714 189849 198748 241626 253132 298122 347809 379428 379698 442981 483252 546557 596244 695618 759396 885962 1043427 1093114 1328943 1391236 1639671 1771924 2086854 2186228 2362391 2657886 3279342 3825899 4173708 4724782 5315772 6558684 7087173 7651798 9449564 11477697 14174346 15303596 16536737 22955394 25986301 28348692 33073474 45910788 49610211 51972602 66146948 77958903 99220422 103945204 155917806 181904107 198440844 285849311 311835612 363808214 545712321 571698622 727616428 857547933 1091424642 1143397244 1715095866 2000945177 2182849284 3430191732 4001890354 6002835531 8003780708 12005671062 24011342124