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14008718880 = 2533513435801
BaseRepresentation
bin11010000101111110…
…00001011000100000
31100011021212122122000
431002333001120200
5212142213001010
610234023244000
71004102101002
oct150277013040
940137778560
1014008718880
115a39613922
12286b5a9600
131423372590
1496c706372
1556eca67c0
hex342fc1620

14008718880 has 384 divisors, whose sum is σ = 54039363840. Its totient is φ = 3367526400.

The previous prime is 14008718873. The next prime is 14008718891. The reversal of 14008718880 is 8881780041.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2411980 + ... + 2417780.

It is an arithmetic number, because the mean of its divisors is an integer number (140727510).

Almost surely, 214008718880 is an apocalyptic number.

14008718880 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 14008718880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27019681920).

14008718880 is an abundant number, since it is smaller than the sum of its proper divisors (40030644960).

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

14008718880 is a wasteful number, since it uses less digits than its factorization.

14008718880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 14008718880 in words is "fourteen billion, eight million, seven hundred eighteen thousand, eight hundred eighty".