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23144045504 = 262381119387
BaseRepresentation
bin10101100011011111…
…100001101111000000
32012201221121022212112
4111203133201233000
5334344333424004
614344321114452
71446350066216
oct254337415700
965657538775
1023144045504
1198a7234a38
12459aa88a28
13224ab849a8
141197aa6cb6
15906cb4e6e
hex5637e1bc0

23144045504 has 56 divisors (see below), whose sum is σ = 47984834688. Its totient is φ = 11054672640.

The previous prime is 23144045447. The next prime is 23144045579. The reversal of 23144045504 is 40554044132.

It is a super-2 number, since 2×231440455042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1184099 + ... + 1203485.

It is an arithmetic number, because the mean of its divisors is an integer number (856872048).

Almost surely, 223144045504 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 23144045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23992417344).

23144045504 is an abundant number, since it is smaller than the sum of its proper divisors (24840789184).

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

23144045504 is a wasteful number, since it uses less digits than its factorization.

23144045504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20233 (or 20223 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 23144045504 its reverse (40554044132), we get a palindrome (63698089636).

The spelling of 23144045504 in words is "twenty-three billion, one hundred forty-four million, forty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 811 1472 1622 3244 6488 12976 18653 19387 25952 37306 38774 51904 74612 77548 149224 155096 298448 310192 445901 596896 620384 891802 1193792 1240768 1783604 3567208 7134416 14268832 15722857 28537664 31445714 62891428 125782856 251565712 361625711 503131424 723251422 1006262848 1446502844 2893005688 5786011376 11572022752 23144045504