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14110054400 = 2115213172943
BaseRepresentation
bin11010010010000011…
…00101100000000000
31100102100120000211102
431021001211200000
5212344133220100
610252043233532
71006442324561
oct151101454000
940370500742
1014110054400
115a90837792
1228995188a8
13143b362c20
1497bd64168
15578b21cd5
hex349065800

14110054400 has 576 divisors, whose sum is σ = 42226984800. Its totient is φ = 4624220160.

The previous prime is 14110054391. The next prime is 14110054433. The reversal of 14110054400 is 445001141.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328140779 + ... + 328140821.

Almost surely, 214110054400 is an apocalyptic number.

14110054400 is a gapful number since it is divisible by the number (10) 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 14110054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21113492400).

14110054400 is an abundant number, since it is smaller than the sum of its proper divisors (28116930400).

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

14110054400 is a wasteful number, since it uses less digits than its factorization.

14110054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 14110054400 its reverse (445001141), we get a palindrome (14555055541).

The spelling of 14110054400 in words is "fourteen billion, one hundred ten million, fifty-four thousand, four hundred".