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23424000000 = 21335661
BaseRepresentation
bin10101110100001011…
…011110000000000000
32020110110101111020120
4111310023132000000
5340433021000000
614432201340240
71456316500122
oct256413360000
966413344216
1023424000000
119a30267995
124658797680
132293b8473b
1411c2d3d212
159216646a0
hex5742de000

23424000000 has 392 divisors, whose sum is σ = 79354140504. Its totient is φ = 6144000000.

The previous prime is 23423999999. The next prime is 23424000077. The reversal of 23424000000 is 42432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 383999970 + ... + 384000030.

Almost surely, 223424000000 is an apocalyptic number.

23424000000 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 23424000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39677070252).

23424000000 is an abundant number, since it is smaller than the sum of its proper divisors (55930140504).

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

23424000000 is an frugal number, since it uses more digits than its factorization.

23424000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 23424000000 its reverse (42432), we get a palindrome (23424042432).

The spelling of 23424000000 in words is "twenty-three billion, four hundred twenty-four million", and thus it is an aban number.