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23104321440 = 2535371498731
BaseRepresentation
bin10101100001000111…
…111111011110100000
32012122011212010200220
4111201013333132200
5334304201241230
614340341443040
71445355330504
oct254107773640
965564763626
1023104321440
119886872732
124589710480
132242886925
1411926c6304
15903569d10
hex5611ff7a0

23104321440 has 192 divisors, whose sum is σ = 75255868800. Its totient is φ = 5953720320.

The previous prime is 23104321379. The next prime is 23104321441. The reversal of 23104321440 is 4412340132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23104321440.

It is not an unprimeable number, because it can be changed into a prime (23104321441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2641875 + ... + 2650605.

It is an arithmetic number, because the mean of its divisors is an integer number (391957650).

Almost surely, 223104321440 is an apocalyptic number.

23104321440 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 23104321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37627934400).

23104321440 is an abundant number, since it is smaller than the sum of its proper divisors (52151547360).

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

23104321440 is a wasteful number, since it uses less digits than its factorization.

23104321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8935 (or 8927 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 23104321440 its reverse (4412340132), we get a palindrome (27516661572).

The spelling of 23104321440 in words is "twenty-three billion, one hundred four million, three hundred twenty-one thousand, four hundred forty".