Search a number
-
+
444018324409 = 11455072
BaseRepresentation
bin1100111011000011000…
…11011111001110111001
31120110002101210221022021
412131201203133032321
524233322142340114
6535551301354441
744036121325222
oct6354143371671
91513071727267
10444018324409
11161341850000
1272078a08a21
1332b42059b4a
14176c22d4249
15b83b075024
hex67618df3b9

444018324409 has 15 divisors (see below), whose sum is σ = 488505830485. Its totient is φ = 403579724020.

The previous prime is 444018324391. The next prime is 444018324427. The reversal of 444018324409 is 904423810444.

It is a happy number.

The square root of 444018324409 is 666347.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (444018324391) and next prime (444018324427).

It is not a de Polignac number, because 444018324409 - 211 = 444018322361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444018324499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 80625234 + ... + 80630740.

Almost surely, 2444018324409 is an apocalyptic number.

444018324409 is the 666347-th square number.

444018324409 is the 333174-th centered octagonal number.

It is an amenable number.

444018324409 is a deficient number, since it is larger than the sum of its proper divisors (44487506076).

444018324409 is an frugal number, since it uses more digits than its factorization.

444018324409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11058 (or 5518 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 444018324409 in words is "four hundred forty-four billion, eighteen million, three hundred twenty-four thousand, four hundred nine".

Divisors: 1 11 121 1331 5507 14641 60577 666347 7329817 30327049 80627987 333597539 3669572929 40365302219 444018324409