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444324141 = 32234121089
BaseRepresentation
bin11010011110111…
…101100100101101
31010222002000010200
4122132331210231
51402221333031
6112031224113
714003456442
oct3236754455
91128060120
10444324141
1120889a338
12104978039
13710903c1
14430219c9
152901b8e6
hex1a7bd92d

444324141 has 12 divisors (see below), whose sum is σ = 642106140. Its totient is φ = 296075520.

The previous prime is 444324137. The next prime is 444324151. The reversal of 444324141 is 141423444.

It can be written as a sum of positive squares in 2 ways, for example, as 386122500 + 58201641 = 19650^2 + 7629^2 .

It is not a de Polignac number, because 444324141 - 22 = 444324137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444324151) 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, 10525 + ... + 31613.

It is an arithmetic number, because the mean of its divisors is an integer number (53508845).

Almost surely, 2444324141 is an apocalyptic number.

It is an amenable number.

444324141 is a deficient number, since it is larger than the sum of its proper divisors (197781999).

444324141 is a wasteful number, since it uses less digits than its factorization.

444324141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23436 (or 23433 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 444324141 is about 21078.9976279708. The cubic root of 444324141 is about 763.0739656221.

Adding to 444324141 its reverse (141423444), we get a palindrome (585747585).

The spelling of 444324141 in words is "four hundred forty-four million, three hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 9 2341 7023 21069 21089 63267 189801 49369349 148108047 444324141