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14191391760 = 2435731389149
BaseRepresentation
bin11010011011101111…
…10111010000010000
31100122000121101201020
431031313313100100
5213030444014020
610304110435440
71011450561000
oct151567672020
940560541636
1014191391760
116022741747
122900802b80
131452170c40
14988a98000
15580d3bc40
hex34ddf7410

14191391760 has 640 divisors, whose sum is σ = 56246400000. Its totient is φ = 2940715008.

The previous prime is 14191391723. The next prime is 14191391789. The reversal of 14191391760 is 6719319141.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95244166 + ... + 95244314.

It is an arithmetic number, because the mean of its divisors is an integer number (87885000).

Almost surely, 214191391760 is an apocalyptic number.

14191391760 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 14191391760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200000).

14191391760 is an abundant number, since it is smaller than the sum of its proper divisors (42055008240).

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

14191391760 is a wasteful number, since it uses less digits than its factorization.

14191391760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The spelling of 14191391760 in words is "fourteen billion, one hundred ninety-one million, three hundred ninety-one thousand, seven hundred sixty".