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24431066013442 = 2112343226112893
BaseRepresentation
bin1011000111000010011010…
…00000101101111100000010
310012111120211222220120111011
411203201031000231330002
511200234310344412232
6123543250552511134
75101041406466554
oct543411500557402
9105446758816434
1024431066013442
11786a17a936780
1228a6aa26ab4aa
131082abb8c3b7a
146066815bb4d4
152c5794c34547
hex16384d02df02

24431066013442 has 48 divisors (see below), whose sum is σ = 42708996007488. Its totient is φ = 10375174249440.

The previous prime is 24431066013433. The next prime is 24431066013443.

24431066013442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24431066013395 and 24431066013404.

It is not an unprimeable number, because it can be changed into a prime (24431066013443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12120853 + ... + 13992040.

It is an arithmetic number, because the mean of its divisors is an integer number (889770750156).

Almost surely, 224431066013442 is an apocalyptic number.

24431066013442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24431066013442 is a deficient number, since it is larger than the sum of its proper divisors (18277929994046).

24431066013442 is a wasteful number, since it uses less digits than its factorization.

24431066013442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26113015 (or 26112972 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

It can be divided in two parts, 2443106 and 6013442, that added together give a palindrome (8456548).

The spelling of 24431066013442 in words is "twenty-four trillion, four hundred thirty-one billion, sixty-six million, thirteen thousand, four hundred forty-two".

Divisors: 1 2 11 22 23 43 46 86 253 473 506 946 989 1849 1978 3698 10879 20339 21758 40678 42527 85054 467797 935594 26112893 52225786 287241823 574483646 600596539 1122854399 1201193078 2245708798 6606561929 12351398389 13213123858 24702796778 25825651177 48282739157 51651302354 96565478314 284082162947 531110130727 568164325894 1062220261454 1110503000611 2221006001222 12215533006721 24431066013442