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23424123840 = 26351312714779
BaseRepresentation
bin10101110100001011…
…111100001111000000
32020110110121210010020
4111310023330033000
5340433033430330
614432204133440
71456320524145
oct256413741700
966413553106
1023424123840
119a30341a37
124658837280
132293bc8c10
1411c2d723cc
1592168b210
hex5742fc3c0

23424123840 has 224 divisors, whose sum is σ = 80728596480. Its totient is φ = 5720150016.

The previous prime is 23424123839. The next prime is 23424123847. The reversal of 23424123840 is 4832142432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23424123847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1577571 + ... + 1592349.

It is an arithmetic number, because the mean of its divisors is an integer number (360395520).

Almost surely, 223424123840 is an apocalyptic number.

23424123840 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 23424123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40364298240).

23424123840 is an abundant number, since it is smaller than the sum of its proper divisors (57304472640).

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

23424123840 is a wasteful number, since it uses less digits than its factorization.

23424123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14939 (or 14929 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 23424123840 in words is "twenty-three billion, four hundred twenty-four million, one hundred twenty-three thousand, eight hundred forty".