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442443300041 = 1741634782353
BaseRepresentation
bin1100111000000111010…
…11001111110011001001
31120022000122010102001102
412130003223033303021
524222110441100131
6535131115231145
743652104666361
oct6340353176311
91508018112042
10442443300041
11160703787976
12718b94484b5
133295095a172
14175b30619a1
15b797b5b1cb
hex6703acfcc9

442443300041 has 8 divisors (see below), whose sum is σ = 479895459624. Its totient is φ = 406260705280.

The previous prime is 442443300023. The next prime is 442443300049. The reversal of 442443300041 is 140003344244.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3079806016 + 439363494025 = 55496^2 + 662845^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 442443300041 - 210 = 442443299017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 442443299977 and 442443300013.

It is not an unprimeable number, because it can be changed into a prime (442443300049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317390480 + ... + 317391873.

It is an arithmetic number, because the mean of its divisors is an integer number (59986932453).

Almost surely, 2442443300041 is an apocalyptic number.

442443300041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

442443300041 is a deficient number, since it is larger than the sum of its proper divisors (37452159583).

442443300041 is a wasteful number, since it uses less digits than its factorization.

442443300041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634782411.

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 442443300041 its reverse (140003344244), we get a palindrome (582446644285).

The spelling of 442443300041 in words is "four hundred forty-two billion, four hundred forty-three million, three hundred thousand, forty-one".

Divisors: 1 17 41 697 634782353 10791300001 26026076473 442443300041