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14114005080 = 23357219312437
BaseRepresentation
bin11010010010100001…
…01010000001011000
31100102121222202010220
431021100222001120
5212401141130310
610252304040040
71006521030600
oct151120520130
940377882126
1014114005080
115a92a95a0a
12289a903020
13143c1171c6
1497c6b1c00
15579152670
hex34942a058

14114005080 has 192 divisors, whose sum is σ = 49514185440. Its totient is φ = 3209084928.

The previous prime is 14114005069. The next prime is 14114005091. The reversal of 14114005080 is 8050041141.

It is an interprime number because it is at equal distance from previous prime (14114005069) and next prime (14114005091).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14114005080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1128622 + ... + 1141058.

Almost surely, 214114005080 is an apocalyptic number.

14114005080 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 14114005080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24757092720).

14114005080 is an abundant number, since it is smaller than the sum of its proper divisors (35400180360).

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

14114005080 is a wasteful number, since it uses less digits than its factorization.

14114005080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12658 (or 12647 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The spelling of 14114005080 in words is "fourteen billion, one hundred fourteen million, five thousand, eighty".