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23134440024 = 2333380328163
BaseRepresentation
bin10101100010111010…
…111000101001011000
32012201021112022122000
4111202322320221120
5334334404040044
614343335201000
71446202332003
oct254272705130
965637468560
1023134440024
1198a1874223
124597816160
132248ba0887
1411966c653a
15906018d69
hex562eb8a58

23134440024 has 64 divisors (see below), whose sum is σ = 64281513600. Its totient is φ = 7709178528.

The previous prime is 23134440013. The next prime is 23134440031. The reversal of 23134440024 is 42004443132.

It is a happy number.

23134440024 is a `hidden beast` number, since 231 + 3 + 4 + 4 + 400 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 23134440024.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 807367 + ... + 835529.

It is an arithmetic number, because the mean of its divisors is an integer number (1004398650).

Almost surely, 223134440024 is an apocalyptic number.

23134440024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23134440024 is an abundant number, since it is smaller than the sum of its proper divisors (41147073576).

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

23134440024 is a wasteful number, since it uses less digits than its factorization.

23134440024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31981 (or 31971 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 23134440024 its reverse (42004443132), we get a palindrome (65138883156).

The spelling of 23134440024 in words is "twenty-three billion, one hundred thirty-four million, four hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 3803 7606 11409 15212 22818 28163 30424 34227 45636 56326 68454 84489 91272 102681 112652 136908 168978 205362 225304 253467 273816 337956 410724 506934 675912 760401 821448 1013868 1520802 2027736 3041604 6083208 107103889 214207778 321311667 428415556 642623334 856831112 963935001 1285246668 1927870002 2570493336 2891805003 3855740004 5783610006 7711480008 11567220012 23134440024