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114803147520 = 2832543474931
BaseRepresentation
bin110101011101011001…
…1010000001100000000
3101222022211101011002200
41222322303100030000
53340104101210040
6124423445513200
711202633436665
oct1527263201400
9358284334080
10114803147520
1144762424a16
121a2bb412800
13aa97634029
1457b1081a6c
152ebdb17630
hex1abacd0300

114803147520 has 432 divisors, whose sum is σ = 415176233472. Its totient is φ = 29260062720.

The previous prime is 114803147489. The next prime is 114803147533. The reversal of 114803147520 is 25741308411.

114803147520 is a `hidden beast` number, since 1 + 14 + 80 + 3 + 1 + 47 + 520 = 666.

114803147520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 23279455 + ... + 23284385.

It is an arithmetic number, because the mean of its divisors is an integer number (961056096).

Almost surely, 2114803147520 is an apocalyptic number.

114803147520 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 114803147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207588116736).

114803147520 is an abundant number, since it is smaller than the sum of its proper divisors (300373085952).

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

114803147520 is a wasteful number, since it uses less digits than its factorization.

114803147520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5048 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 114803147520 in words is "one hundred fourteen billion, eight hundred three million, one hundred forty-seven thousand, five hundred twenty".