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24234413121 = 3217612596637
BaseRepresentation
bin10110100100011110…
…111100110001000001
32022112221022202001100
4112210132330301001
5344113002204441
615044431325013
71515360053442
oct264436746101
968487282040
1024234413121
11a3067702a6
124844080769
132392a42229
14125c8192c9
1596c896cb6
hex5a47bcc41

24234413121 has 24 divisors (see below), whose sum is σ = 37672024104. Its totient is φ = 14956623360.

The previous prime is 24234413003. The next prime is 24234413131. The reversal of 24234413121 is 12131443242.

24234413121 is a `hidden beast` number, since 2 + 4 + 2 + 344 + 1 + 312 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5934096 + 24228479025 = 2436^2 + 155655^2 .

It is not a de Polignac number, because 24234413121 - 223 = 24226024513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (24234413131) 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 23 ways as a sum of consecutive naturals, for example, 1288986 + ... + 1307651.

It is an arithmetic number, because the mean of its divisors is an integer number (1569667671).

Almost surely, 224234413121 is an apocalyptic number.

It is an amenable number.

24234413121 is a deficient number, since it is larger than the sum of its proper divisors (13437610983).

24234413121 is a wasteful number, since it uses less digits than its factorization.

24234413121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596721 (or 2596718 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 24234413121 its reverse (12131443242), we get a palindrome (36365856363).

The spelling of 24234413121 in words is "twenty-four billion, two hundred thirty-four million, four hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 17 51 61 153 183 549 1037 3111 9333 2596637 7789911 23369733 44142829 132428487 158394857 397285461 475184571 1425553713 2692712569 8078137707 24234413121