| Base | Representation |
|---|---|
| bin | 1110101101011001001… |
| … | …00000101011101001010 |
| 3 | 1210022112122010221021000 |
| 4 | 13112230210011131022 |
| 5 | 31240033004024224 |
| 6 | 1024102551155430 |
| 7 | 51341303534556 |
| oct | 7265444053512 |
| 9 | 1708478127230 |
| 10 | 505406314314 |
| 11 | 185383763460 |
| 12 | 81b4b675b76 |
| 13 | 3887621c025 |
| 14 | 1a667250866 |
| 15 | d2305990c9 |
| hex | 75ac90574a |
505406314314 has 256 divisors, whose sum is σ = 1282692464640. Its totient is φ = 146124000000.
The previous prime is 505406314307. The next prime is 505406314319. The reversal of 505406314314 is 413413604505.
505406314314 is a `hidden beast` number, since 5 + 0 + 5 + 4 + 0 + 631 + 4 + 3 + 14 = 666.
It is a super-2 number, since 2×5054063143142 (a number of 24 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (505406314319) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 615598024 + ... + 615598844.
It is an arithmetic number, because the mean of its divisors is an integer number (5010517440).
Almost surely, 2505406314314 is an apocalyptic number.
505406314314 is a gapful number since it is divisible by the number (54) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 505406314314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641346232320).
505406314314 is an abundant number, since it is smaller than the sum of its proper divisors (777286150326).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
505406314314 is a wasteful number, since it uses less digits than its factorization.
505406314314 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1306 (or 1300 counting only the distinct ones).
The product of its (nonzero) digits is 86400, while the sum is 36.
Adding to 505406314314 its reverse (413413604505), we get a palindrome (918819918819).
Subtracting from 505406314314 its reverse (413413604505), we obtain a square (91992709809 = 3033032).
The spelling of 505406314314 in words is "five hundred five billion, four hundred six million, three hundred fourteen thousand, three hundred fourteen".
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