Search a number
-
+
23439614144 = 261730796997
BaseRepresentation
bin10101110101000111…
…000010000011000000
32020111112202202211012
4111311013002003000
5341001020123034
614433520140052
71456566301322
oct256507020300
966445682735
1023439614144
119a39062041
124661a67628
13229719078b
1411c5045612
15922beacce
hex5751c20c0

23439614144 has 56 divisors (see below), whose sum is σ = 49272078240. Its totient is φ = 11025248256.

The previous prime is 23439614131. The next prime is 23439614147. The reversal of 23439614144 is 44141693432.

It is a super-2 number, since 2×234396141442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23439614147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3346454 + ... + 3353450.

It is an arithmetic number, because the mean of its divisors is an integer number (879858540).

Almost surely, 223439614144 is an apocalyptic number.

It is an amenable number.

23439614144 is an abundant number, since it is smaller than the sum of its proper divisors (25832464096).

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

23439614144 is a wasteful number, since it uses less digits than its factorization.

23439614144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10105 (or 10095 counting only the distinct ones).

The product of its digits is 248832, while the sum is 41.

The spelling of 23439614144 in words is "twenty-three billion, four hundred thirty-nine million, six hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 3079 6158 6997 12316 13994 24632 27988 49264 52343 55976 98528 104686 111952 118949 197056 209372 223904 237898 418744 447808 475796 837488 951592 1674976 1903184 3349952 3806368 7612736 21543763 43087526 86175052 172350104 344700208 366243971 689400416 732487942 1378800832 1464975884 2929951768 5859903536 11719807072 23439614144