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444121444 = 221323371339
BaseRepresentation
bin11010011110001…
…100000101100100
31010221200201002101
4122132030011210
51402143341234
6112023021444
714001653464
oct3236140544
91127621071
10444121444
11208771018
1210489a884
137101c070
1442dabba4
1528ecb814
hex1a78c164

444121444 has 24 divisors (see below), whose sum is σ = 873391680. Its totient is φ = 196066464.

The previous prime is 444121441. The next prime is 444121459.

444121444 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (444121441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184474 + ... + 186865.

It is an arithmetic number, because the mean of its divisors is an integer number (36391320).

Almost surely, 2444121444 is an apocalyptic number.

It is an amenable number.

444121444 is a deficient number, since it is larger than the sum of its proper divisors (429270236).

444121444 is a wasteful number, since it uses less digits than its factorization.

444121444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371379 (or 371377 counting only the distinct ones).

The product of its digits is 8192, while the sum is 28.

The square root of 444121444 is about 21074.1890472682. The cubic root of 444121444 is about 762.9579119610.

The spelling of 444121444 in words is "four hundred forty-four million, one hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 4 13 23 26 46 52 92 299 598 1196 371339 742678 1485356 4827407 8540797 9654814 17081594 19309628 34163188 111030361 222060722 444121444