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442044014041 = 7261147890269
BaseRepresentation
bin1100110111010111110…
…00000101110111011001
31120020222210210120122001
412123223320011313121
524220301231422131
6535023333201001
743636156060300
oct6335370056731
91506883716561
10442044014041
1116051935a443
1271807790161
13328b9008866
1417576005437
15b772a89261
hex66ebe05dd9

442044014041 has 12 divisors (see below), whose sum is σ = 522644214180. Its totient is φ = 372683475360.

The previous prime is 442044014033. The next prime is 442044014051. The reversal of 442044014041 is 140410440244.

It can be written as a sum of positive squares in 2 ways, for example, as 12344098816 + 429699915225 = 111104^2 + 655515^2 .

It is not a de Polignac number, because 442044014041 - 23 = 442044014033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442044014051) 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 11 ways as a sum of consecutive naturals, for example, 73942146 + ... + 73948123.

It is an arithmetic number, because the mean of its divisors is an integer number (43553684515).

Almost surely, 2442044014041 is an apocalyptic number.

It is an amenable number.

442044014041 is a deficient number, since it is larger than the sum of its proper divisors (80600200139).

442044014041 is a wasteful number, since it uses less digits than its factorization.

442044014041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147890344 (or 147890337 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 442044014041 its reverse (140410440244), we get a palindrome (582454454285).

The spelling of 442044014041 in words is "four hundred forty-two billion, forty-four million, fourteen thousand, forty-one".

Divisors: 1 7 49 61 427 2989 147890269 1035231883 7246623181 9021306409 63149144863 442044014041