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14482944000 = 21232537449
BaseRepresentation
bin11010111110100000…
…00011000000000000
31101101100012210012100
431133100003000000
5214130113202000
610353043430400
71021620664350
oct153720030000
941340183170
1014482944000
116162276208
122982385400
13149a6a1865
149b56acb60
1559b72ca00
hex35f403000

14482944000 has 624 divisors, whose sum is σ = 59800852800. Its totient is φ = 3303014400.

The previous prime is 14482943953. The next prime is 14482944001. The reversal of 14482944000 is 44928441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14482944001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32255776 + ... + 32256224.

It is an arithmetic number, because the mean of its divisors is an integer number (95834700).

Almost surely, 214482944000 is an apocalyptic number.

14482944000 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 14482944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29900426400).

14482944000 is an abundant number, since it is smaller than the sum of its proper divisors (45317908800).

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

14482944000 is an equidigital number, since it uses as much as digits as its factorization.

14482944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 14482944000 in words is "fourteen billion, four hundred eighty-two million, nine hundred forty-four thousand".