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23442320000 = 275411171567
BaseRepresentation
bin10101110101010001…
…010110101010000000
32020111201212020120002
4111311101112222000
5341002213220000
614434054135132
71456631301161
oct256521265200
966451766502
1023442320000
119a3a63aa90
1246629514a8
1322978ca288
1411c554b768
159230828d5
hex575456a80

23442320000 has 320 divisors, whose sum is σ = 67451408640. Its totient is φ = 8017920000.

The previous prime is 23442319987. The next prime is 23442320003. The reversal of 23442320000 is 2324432.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (23442320003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14959217 + ... + 14960783.

It is an arithmetic number, because the mean of its divisors is an integer number (210785652).

Almost surely, 223442320000 is an apocalyptic number.

23442320000 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 23442320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33725704320).

23442320000 is an abundant number, since it is smaller than the sum of its proper divisors (44009088640).

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

23442320000 is a wasteful number, since it uses less digits than its factorization.

23442320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 23442320000 its reverse (2324432), we get a palindrome (23444644432).

The spelling of 23442320000 in words is "twenty-three billion, four hundred forty-two million, three hundred twenty thousand".