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14444287300 = 2252144442873
BaseRepresentation
bin11010111001111001…
…00101010101000100
31101021122110211011201
431130330211111010
5214040214143200
610345143112244
71020641262532
oct153474452504
941248424151
1014444287300
116142472923
122971442684
131492688581
149b04c9152
15598143c6a
hex35cf25544

14444287300 has 18 divisors (see below), whose sum is σ = 31344103658. Its totient is φ = 5777714880.

The previous prime is 14444287271. The next prime is 14444287327. The reversal of 14444287300 is 378244441.

14444287300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 74511424 + 14369775876 = 8632^2 + 119874^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14444287300.

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 5 ways as a sum of consecutive naturals, for example, 72221337 + ... + 72221536.

Almost surely, 214444287300 is an apocalyptic number.

14444287300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14444287300 is an abundant number, since it is smaller than the sum of its proper divisors (16899816358).

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

14444287300 is a wasteful number, since it uses less digits than its factorization.

14444287300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144442887 (or 144442880 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The spelling of 14444287300 in words is "fourteen billion, four hundred forty-four million, two hundred eighty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 144442873 288885746 577771492 722214365 1444428730 2888857460 3611071825 7222143650 14444287300