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24131243344 = 241323322137
BaseRepresentation
bin10110011110010101…
…011000110101010000
32022021202012011201111
4112132111120311100
5343410044241334
615030304143104
71512665120065
oct263625306520
968252164644
1024131243344
11a26350431a
124815607a94
13237755ba20
14124cc40c6c
159637b8064
hex59e558d50

24131243344 has 60 divisors (see below), whose sum is σ = 50591455516. Its totient is φ = 11084507136.

The previous prime is 24131243291. The next prime is 24131243347. The reversal of 24131243344 is 44334213142.

It can be written as a sum of positive squares in 6 ways, for example, as 12385018944 + 11746224400 = 111288^2 + 108380^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24131243347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11291044 + ... + 11293180.

Almost surely, 224131243344 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 24131243344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25295727758).

24131243344 is an abundant number, since it is smaller than the sum of its proper divisors (26460212172).

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

24131243344 is a wasteful number, since it uses less digits than its factorization.

24131243344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2385 counting only the distinct ones).

The product of its digits is 27648, while the sum is 31.

Adding to 24131243344 its reverse (44334213142), we get a palindrome (68465456486).

The spelling of 24131243344 in words is "twenty-four billion, one hundred thirty-one million, two hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 233 466 932 1864 2137 3029 3728 4274 6058 8548 12116 17096 24232 27781 34192 48464 54289 55562 108578 111124 217156 222248 434312 444496 497921 705757 868624 995842 1411514 1991684 2823028 3983368 5646056 6472973 7966736 11292112 12945946 25891892 51783784 103567568 116015593 232031186 464062372 928124744 1508202709 1856249488 3016405418 6032810836 12065621672 24131243344