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444444444 = 223237333667
BaseRepresentation
bin11010011111011…
…010111100011100
31010222022010011100
4122133122330130
51402234210234
6112033553100
714004500253
oct3237327434
91128263140
10444444444
11208971764
12104a15790
13711030a2
144305379a
1529042399
hex1a7daf1c

444444444 has 36 divisors (see below), whose sum is σ = 1153823944. Its totient is φ = 144143712.

The previous prime is 444444443. The next prime is 444444457.

444444444 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

444444444 is a modest number, since divided by 44444 gives 4444 as remainder.

444444444 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444444399 and 444444408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444444443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165502 + ... + 168165.

Almost surely, 2444444444 is an apocalyptic number.

It is an amenable number.

444444444 is an abundant number, since it is smaller than the sum of its proper divisors (709379500).

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

444444444 is a wasteful number, since it uses less digits than its factorization.

444444444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333714 (or 333709 counting only the distinct ones).

The product of its digits is 262144, while the sum is 36.

The square root of 444444444 is about 21081.8510572483. The cubic root of 444444444 is about 763.1428281145.

The spelling of 444444444 in words is "four hundred forty-four million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 333667 667334 1001001 1334668 2002002 3003003 4004004 6006006 12012012 12345679 24691358 37037037 49382716 74074074 111111111 148148148 222222222 444444444