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24342410313 = 32131712238517
BaseRepresentation
bin10110101010111010…
…111011010001001001
32022211110112120100100
4112222322323101021
5344323124112223
615103250200013
71521141034164
oct265272732111
968743476310
1024342410313
11a361724181
124874283009
1323ac225ab0
14126ccccadb
159770cb043
hex5aaebb449

24342410313 has 24 divisors (see below), whose sum is σ = 40093384968. Its totient is φ = 14098770432.

The previous prime is 24342410231. The next prime is 24342410357. The reversal of 24342410313 is 31301424342.

24342410313 is a `hidden beast` number, since 2 + 4 + 342 + 4 + 1 + 0 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28869129 + 24313541184 = 5373^2 + 155928^2 .

It is not a de Polignac number, because 24342410313 - 212 = 24342406217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (24342410413) 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, 6117270 + ... + 6121247.

It is an arithmetic number, because the mean of its divisors is an integer number (1670557707).

Almost surely, 224342410313 is an apocalyptic number.

It is an amenable number.

24342410313 is a deficient number, since it is larger than the sum of its proper divisors (15750974655).

24342410313 is a wasteful number, since it uses less digits than its factorization.

24342410313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12238553 (or 12238550 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 24342410313 its reverse (31301424342), we get a palindrome (55643834655).

The spelling of 24342410313 in words is "twenty-four billion, three hundred forty-two million, four hundred ten thousand, three hundred thirteen".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 12238517 36715551 110146653 159100721 208054789 477302163 624164367 1431906489 1872493101 2704712257 8114136771 24342410313