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23331350144 = 272346117191
BaseRepresentation
bin10101101110101010…
…000010011010000000
32020020000001101112102
4111232222002122000
5340240311201034
614415051445532
71454113126664
oct255652023200
966200041472
1023331350144
119992a36763
1246317568a8
13227a91563b
1411b49028a4
1591846297e
hex56ea82680

23331350144 has 64 divisors (see below), whose sum is σ = 48609348480. Its totient is φ = 11133619200.

The previous prime is 23331350131. The next prime is 23331350149. The reversal of 23331350144 is 44105313332.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (23331350149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1348589 + ... + 1365779.

It is an arithmetic number, because the mean of its divisors is an integer number (759521070).

Almost surely, 223331350144 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 23331350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24304674240).

23331350144 is an abundant number, since it is smaller than the sum of its proper divisors (25277998336).

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

23331350144 is a wasteful number, since it uses less digits than its factorization.

23331350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17689 (or 17677 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 23331350144 its reverse (44105313332), we get a palindrome (67436663476).

The spelling of 23331350144 in words is "twenty-three billion, three hundred thirty-one million, three hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 461 736 922 1472 1844 2944 3688 7376 10603 14752 17191 21206 29504 34382 42412 59008 68764 84824 137528 169648 275056 339296 395393 550112 678592 790786 1100224 1357184 1581572 2200448 3163144 6326288 7925051 12652576 15850102 25305152 31700204 50610304 63400408 126800816 182276173 253601632 364552346 507203264 729104692 1014406528 1458209384 2916418768 5832837536 11665675072 23331350144