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444014041 = 17298211097
BaseRepresentation
bin11010011101110…
…001110111011001
31010221111020202111
4122131301313121
51402131422131
6112020432321
714001025402
oct3235616731
91127436674
10444014041
112086a8359
121048486a1
1370cb2203
1442d809a9
1528ea9ab1
hex1a771dd9

444014041 has 16 divisors (see below), whose sum is σ = 487380240. Its totient is φ = 402626560.

The previous prime is 444014033. The next prime is 444014047. The reversal of 444014041 is 140410444.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2131600 + 441882441 = 1460^2 + 21021^2 .

It is a cyclic number.

It is not a de Polignac number, because 444014041 - 23 = 444014033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444014047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404205 + ... + 405301.

It is an arithmetic number, because the mean of its divisors is an integer number (30461265).

Almost surely, 2444014041 is an apocalyptic number.

It is an amenable number.

444014041 is a deficient number, since it is larger than the sum of its proper divisors (43366199).

444014041 is a wasteful number, since it uses less digits than its factorization.

444014041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964.

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 444014041 is about 21071.6406812569. The cubic root of 444014041 is about 762.8964043290.

Adding to 444014041 its reverse (140410444), we get a palindrome (584424485).

It can be divided in two parts, 4440 and 14041, that added together give a palindrome (18481).

The spelling of 444014041 in words is "four hundred forty-four million, fourteen thousand, forty-one".

Divisors: 1 17 29 493 821 1097 13957 18649 23809 31813 404753 540821 900637 15310829 26118473 444014041