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444405105 = 3259875669
BaseRepresentation
bin11010011111010…
…001010101110001
31010222020010012100
4122133101111301
51402231430410
6112033051013
714004244464
oct3237212561
91128203170
10444405105
11208945151
121049b6a69
13710bb201
14430432db
15290358c0
hex1a7d1571

444405105 has 12 divisors (see below), whose sum is σ = 770302260. Its totient is φ = 237016032.

The previous prime is 444405067. The next prime is 444405107. The reversal of 444405105 is 501504444.

It can be written as a sum of positive squares in 2 ways, for example, as 302342544 + 142062561 = 17388^2 + 11919^2 .

It is not a de Polignac number, because 444405105 - 29 = 444404593 is a prime.

It is a super-2 number, since 2×4444051052 = 394991794700122050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (444405107) 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, 4937790 + ... + 4937879.

It is an arithmetic number, because the mean of its divisors is an integer number (64191855).

Almost surely, 2444405105 is an apocalyptic number.

444405105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444405105 is a deficient number, since it is larger than the sum of its proper divisors (325897155).

444405105 is a wasteful number, since it uses less digits than its factorization.

444405105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9875680 (or 9875677 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 444405105 is about 21080.9180302946. The cubic root of 444405105 is about 763.1203114933.

Adding to 444405105 its reverse (501504444), we get a palindrome (945909549).

The spelling of 444405105 in words is "four hundred forty-four million, four hundred five thousand, one hundred five".

Divisors: 1 3 5 9 15 45 9875669 29627007 49378345 88881021 148135035 444405105