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444015441 = 3249335049
BaseRepresentation
bin11010011101110…
…010001101010001
31010221111022200100
4122131302031101
51402131443231
6112020443013
714001032442
oct3235621521
91127438610
10444015441
112086a9411
12104849469
1370cb2a3c
1442d812c9
1528eaa1e6
hex1a772351

444015441 has 6 divisors (see below), whose sum is σ = 641355650. Its totient is φ = 296010288.

The previous prime is 444015431. The next prime is 444015443. The reversal of 444015441 is 144510444.

It can be written as a sum of positive squares in only one way, i.e., 430355025 + 13660416 = 20745^2 + 3696^2 .

It is not a de Polignac number, because 444015441 - 25 = 444015409 is a prime.

It is a super-3 number, since 3×4440154413 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444015443) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24667516 + ... + 24667533.

Almost surely, 2444015441 is an apocalyptic number.

It is an amenable number.

444015441 is a deficient number, since it is larger than the sum of its proper divisors (197340209).

444015441 is a wasteful number, since it uses less digits than its factorization.

444015441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49335055 (or 49335052 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 444015441 is about 21071.6739012353. The cubic root of 444015441 is about 762.8972061459.

Adding to 444015441 its reverse (144510444), we get a palindrome (588525885).

It can be divided in two parts, 4440 and 15441, that added together give a square (19881 = 1412).

The spelling of 444015441 in words is "four hundred forty-four million, fifteen thousand, four hundred forty-one".

Divisors: 1 3 9 49335049 148005147 444015441