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14243273440 = 25511291791559
BaseRepresentation
bin11010100001111011…
…10001101011100000
31100202122020020222221
431100331301223200
5213132234222230
610313202440424
71012650553354
oct152075615340
940678206887
1014243273440
116049a58170
122916063114
13145cb37966
14991921464
1558568927a
hex350f71ae0

14243273440 has 192 divisors, whose sum is σ = 38211264000. Its totient is φ = 4969646080.

The previous prime is 14243273413. The next prime is 14243273461. The reversal of 14243273440 is 4437234241.

14243273440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14243273396 and 14243273405.

It is a congruent number.

It is an unprimeable number.

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, 9135381 + ... + 9136939.

It is an arithmetic number, because the mean of its divisors is an integer number (199017000).

Almost surely, 214243273440 is an apocalyptic number.

14243273440 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 14243273440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19105632000).

14243273440 is an abundant number, since it is smaller than the sum of its proper divisors (23967990560).

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

14243273440 is a wasteful number, since it uses less digits than its factorization.

14243273440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 34.

The spelling of 14243273440 in words is "fourteen billion, two hundred forty-three million, two hundred seventy-three thousand, four hundred forty".