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23943294144 = 2634721121941
BaseRepresentation
bin10110010011001000…
…011010110011000000
32021210122112100220000
4112103020122303000
5343013440403034
614555511520000
71505223433200
oct262310326300
967718470800
1023943294144
11a177402300
124782689000
132347633893
141231cb8400
1595203e599
hex59321acc0

23943294144 has 1260 divisors, whose sum is σ = 97857670680. Its totient is φ = 5748019200.

The previous prime is 23943294143. The next prime is 23943294149. The reversal of 23943294144 is 44149234932.

23943294144 is a `hidden beast` number, since 2 + 394 + 32 + 94 + 144 = 666.

It is a super-2 number, since 2×239432941442 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23943294144.

It is not an unprimeable number, because it can be changed into a prime (23943294143) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 583982764 + ... + 583982804.

It is an arithmetic number, because the mean of its divisors is an integer number (77664818).

Almost surely, 223943294144 is an apocalyptic number.

23943294144 is a gapful number since it is divisible by the number (24) 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 23943294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48928835340).

23943294144 is an abundant number, since it is smaller than the sum of its proper divisors (73914376536).

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

23943294144 is a wasteful number, since it uses less digits than its factorization.

23943294144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 23943294144 in words is "twenty-three billion, nine hundred forty-three million, two hundred ninety-four thousand, one hundred forty-four".