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14087364480 = 27345738821
BaseRepresentation
bin11010001111010110…
…00001111110000000
31100100202212021010000
431013223001332000
5212322331130410
610245513040000
71006045423320
oct150753017600
940322767100
1014087364480
115a79a4a492
1228919b6000
13143674a337
14978d39280
15576b3ddc0
hex347ac1f80

14087364480 has 320 divisors, whose sum is σ = 57496934880. Its totient is φ = 3219886080.

The previous prime is 14087364443. The next prime is 14087364491. The reversal of 14087364480 is 8446378041.

14087364480 is a `hidden beast` number, since 1 + 40 + 8 + 73 + 64 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 343470 + ... + 382290.

Almost surely, 214087364480 is an apocalyptic number.

14087364480 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 14087364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28748467440).

14087364480 is an abundant number, since it is smaller than the sum of its proper divisors (43409570400).

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

14087364480 is an equidigital number, since it uses as much as digits as its factorization.

14087364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38859 (or 38838 counting only the distinct ones).

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

The spelling of 14087364480 in words is "fourteen billion, eighty-seven million, three hundred sixty-four thousand, four hundred eighty".