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23443134400 = 265278272531
BaseRepresentation
bin10101110101010100…
…011101011111000000
32020111210101121201001
4111311110131133000
5341002420300100
614434123421344
71456641232420
oct256524353700
966453347631
1023443134400
119a40046944
124663084854
132297b23b7a
1411c56c0480
15923193d6a
hex57551d7c0

23443134400 has 168 divisors, whose sum is σ = 66031238016. Its totient is φ = 8024755200.

The previous prime is 23443134397. The next prime is 23443134413. The reversal of 23443134400 is 443134432.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9261135 + ... + 9263665.

Almost surely, 223443134400 is an apocalyptic number.

23443134400 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 23443134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33015619008).

23443134400 is an abundant number, since it is smaller than the sum of its proper divisors (42588103616).

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

23443134400 is a wasteful number, since it uses less digits than its factorization.

23443134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 23443134400 its reverse (443134432), we get a palindrome (23886268832).

The spelling of 23443134400 in words is "twenty-three billion, four hundred forty-three million, one hundred thirty-four thousand, four hundred".