Base | Representation |
---|---|
bin | 10011010111110011… |
… | …01010010101011010 |
3 | 222211210211112012200 |
4 | 21223321222111122 |
5 | 132244423243224 |
6 | 4440000351030 |
7 | 515504226462 |
oct | 115371522532 |
9 | 28753745180 |
10 | 10400212314 |
11 | 4457715498 |
12 | 2023015476 |
13 | c998a45ab |
14 | 709380ba2 |
15 | 40d0b45c9 |
hex | 26be6a55a |
10400212314 has 12 divisors (see below), whose sum is σ = 22533793386. Its totient is φ = 3466737432.
The previous prime is 10400212201. The next prime is 10400212321. The reversal of 10400212314 is 41321200401.
10400212314 is a `hidden beast` number, since 10 + 400 + 21 + 231 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 6663946689 + 3736265625 = 81633^2 + 61125^2 .
It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 577789573 = 10400212314 / (1 + 0 + 4 + 0 + 0 + 2 + 1 + 2 + 3 + 1 + 4).
It is an unprimeable number.
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 5 ways as a sum of consecutive naturals, for example, 288894769 + ... + 288894804.
Almost surely, 210400212314 is an apocalyptic number.
10400212314 is an abundant number, since it is smaller than the sum of its proper divisors (12133581072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10400212314 is a wasteful number, since it uses less digits than its factorization.
10400212314 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 577789581 (or 577789578 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 10400212314 its reverse (41321200401), we get a palindrome (51721412715).
The spelling of 10400212314 in words is "ten billion, four hundred million, two hundred twelve thousand, three hundred fourteen".
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