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14378840064 = 21234192281
BaseRepresentation
bin11010110010000101…
…11011000000000000
31101010002022202110000
431121002323000000
5213421440340224
610334444240000
71016215060341
oct153102730000
941102282400
1014378840064
1161095313a6
122953540000
131481c520b4
149a59300c8
155925170c9
hex3590bb000

14378840064 has 260 divisors, whose sum is σ = 45234306040. Its totient is φ = 4538695680.

The previous prime is 14378840041. The next prime is 14378840087. The reversal of 14378840064 is 46004887341.

It is an interprime number because it is at equal distance from previous prime (14378840041) and next prime (14378840087).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6302604 + ... + 6304884.

Almost surely, 214378840064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14378840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22617153020).

14378840064 is an abundant number, since it is smaller than the sum of its proper divisors (30855465976).

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

14378840064 is an equidigital number, since it uses as much as digits as its factorization.

14378840064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14378840064 in words is "fourteen billion, three hundred seventy-eight million, eight hundred forty thousand, sixty-four".