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814218280841 = 72117114190179
BaseRepresentation
bin10111101100100110011…
…00001111111110001001
32212211122021100020120202
423312103030033332021
5101320004334441331
61422014031301545
7112553042123600
oct13662314177611
92784567306522
10814218280841
11294342aa1619
1211197407a8b5
135ba1b8735c4
142b5a081ca37
15162a6690ecb
hexbd9330ff89

814218280841 has 12 divisors (see below), whose sum is σ = 947960784720. Its totient is φ = 697305346920.

The previous prime is 814218280829. The next prime is 814218280853. The reversal of 814218280841 is 148082812418.

It is an interprime number because it is at equal distance from previous prime (814218280829) and next prime (814218280853).

It is not a de Polignac number, because 814218280841 - 210 = 814218279817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (814218285841) 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, 7037711 + ... + 7152468.

It is an arithmetic number, because the mean of its divisors is an integer number (78996732060).

Almost surely, 2814218280841 is an apocalyptic number.

It is an amenable number.

814218280841 is a deficient number, since it is larger than the sum of its proper divisors (133742503879).

814218280841 is a wasteful number, since it uses less digits than its factorization.

814218280841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14191364 (or 14191357 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 47.

The spelling of 814218280841 in words is "eight hundred fourteen billion, two hundred eighteen million, two hundred eighty thousand, eight hundred forty-one".

Divisors: 1 7 49 1171 8197 57379 14190179 99331253 695318771 16616699609 116316897263 814218280841