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23940144000 = 273353151367
BaseRepresentation
bin10110010010111100…
…011001101110000000
32021210102121022201000
4112102330121232000
5343012134102000
614555320212000
71505154603123
oct262274315600
967712538630
1023940144000
11a175650583
12478160a000
132346a9caa6
1412316d83ba
15951b1b000
hex592f19b80

23940144000 has 512 divisors, whose sum is σ = 89005363200. Its totient is φ = 6324480000.

The previous prime is 23940143993. The next prime is 23940144031. The reversal of 23940144000 is 44104932.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65231817 + ... + 65232183.

It is an arithmetic number, because the mean of its divisors is an integer number (173838600).

Almost surely, 223940144000 is an apocalyptic number.

23940144000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23940144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44502681600).

23940144000 is an abundant number, since it is smaller than the sum of its proper divisors (65065219200).

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

23940144000 is a wasteful number, since it uses less digits than its factorization.

23940144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 23940144000 its reverse (44104932), we get a palindrome (23984248932).

The spelling of 23940144000 in words is "twenty-three billion, nine hundred forty million, one hundred forty-four thousand".