Base | Representation |
---|---|
bin | 100000101001010001100… |
… | …000100111011110100010 |
3 | 21221110110020210200000100 |
4 | 200221101200213132202 |
5 | 243223330122331224 |
6 | 4434324255003230 |
7 | 321035032026351 |
oct | 40512140473642 |
9 | 7843406720010 |
10 | 2243340433314 |
11 | 795439211012 |
12 | 302936209516 |
13 | 133713a03c56 |
14 | 7a814a41998 |
15 | 3d54b326ac9 |
hex | 20a518277a2 |
2243340433314 has 96 divisors (see below), whose sum is σ = 5217315732720. Its totient is φ = 695238598656.
The previous prime is 2243340433247. The next prime is 2243340433403. The reversal of 2243340433314 is 4133340433422.
2243340433314 is a `hidden beast` number, since 2 + 2 + 4 + 334 + 0 + 4 + 3 + 3 + 314 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 2065270781025 + 178069652289 = 1437105^2 + 421983^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1274742 + ... + 2472174.
Almost surely, 22243340433314 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2243340433314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608657866360).
2243340433314 is an abundant number, since it is smaller than the sum of its proper divisors (2973975299406).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2243340433314 is a wasteful number, since it uses less digits than its factorization.
2243340433314 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1197604 (or 1197601 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 36.
Adding to 2243340433314 its reverse (4133340433422), we get a palindrome (6376680866736).
The spelling of 2243340433314 in words is "two trillion, two hundred forty-three billion, three hundred forty million, four hundred thirty-three thousand, three hundred fourteen".
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