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114275889000 = 233253721331643
BaseRepresentation
bin110101001101101011…
…1111010111101101000
3101220222002020122101100
41222123113322331220
53333014111422000
6124255252521400
711153602013100
oct1523327727550
9356862218340
10114275889000
114451183a879
121a192920260
13aa12326a40
145761032200
152e8c6b7a00
hex1a9b5faf68

114275889000 has 1152 divisors, whose sum is σ = 500262497280. Its totient is φ = 23296896000.

The previous prime is 114275888927. The next prime is 114275889019. The reversal of 114275889000 is 988572411.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 177722679 + ... + 177723321.

It is an arithmetic number, because the mean of its divisors is an integer number (434255640).

Almost surely, 2114275889000 is an apocalyptic number.

114275889000 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 114275889000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250131248640).

114275889000 is an abundant number, since it is smaller than the sum of its proper divisors (385986608280).

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

114275889000 is a wasteful number, since it uses less digits than its factorization.

114275889000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 114275889000 in words is "one hundred fourteen billion, two hundred seventy-five million, eight hundred eighty-nine thousand".