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14442098112 = 2632133752127
BaseRepresentation
bin11010111001101000…
…01110110111000000
31101021111100121011200
431130310032313000
5214034134114422
610345024141200
71020613544211
oct153464166700
941244317150
1014442098112
116141208082
122970767800
13149209ccb0
149b00b9408
15597d602ac
hex35cd0edc0

14442098112 has 168 divisors, whose sum is σ = 45785690496. Its totient is φ = 4323538944.

The previous prime is 14442097987. The next prime is 14442098137. The reversal of 14442098112 is 21189024441.

14442098112 is a `hidden beast` number, since 1 + 444 + 209 + 8 + 1 + 1 + 2 = 666.

14442098112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250993 + ... + 303119.

It is an arithmetic number, because the mean of its divisors is an integer number (272533872).

Almost surely, 214442098112 is an apocalyptic number.

14442098112 is a gapful number since it is divisible by the number (12) 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 14442098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22892845248).

14442098112 is an abundant number, since it is smaller than the sum of its proper divisors (31343592384).

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

14442098112 is a wasteful number, since it uses less digits than its factorization.

14442098112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52195 (or 52182 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 14442098112 in words is "fourteen billion, four hundred forty-two million, ninety-eight thousand, one hundred twelve".