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444140045 = 51737141221
BaseRepresentation
bin11010011110010…
…000101000001101
31010221201122121022
4122132100220031
51402144440140
6112023243525
714002061636
oct3236205015
91127648538
10444140045
11208783a98
121048a95a5
137102767b
1442db488d
1528ed20b5
hex1a790a0d

444140045 has 16 divisors (see below), whose sum is σ = 579575088. Its totient is φ = 325370880.

The previous prime is 444140027. The next prime is 444140071. The reversal of 444140045 is 540041444.

It can be written as a sum of positive squares in 8 ways, for example, as 26569 + 444113476 = 163^2 + 21074^2 .

It is not a de Polignac number, because 444140045 - 28 = 444139789 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 444139996 and 444140023.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 67466 + ... + 73755.

It is an arithmetic number, because the mean of its divisors is an integer number (36223443).

Almost surely, 2444140045 is an apocalyptic number.

It is an amenable number.

444140045 is a deficient number, since it is larger than the sum of its proper divisors (135435043).

444140045 is a wasteful number, since it uses less digits than its factorization.

444140045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141280.

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 444140045 is about 21074.6303644928. The cubic root of 444140045 is about 762.9685633885.

Adding to 444140045 its reverse (540041444), we get a palindrome (984181489).

The spelling of 444140045 in words is "four hundred forty-four million, one hundred forty thousand, forty-five".

Divisors: 1 5 17 37 85 185 629 3145 141221 706105 2400757 5225177 12003785 26125885 88828009 444140045