Base | Representation |
---|---|
bin | 1000010110000101… |
… | …1011110000000000 |
3 | 12210010012121100021 |
4 | 2011201123300000 |
5 | 14041433243034 |
6 | 1010141503224 |
7 | 106340553223 |
oct | 20541336000 |
9 | 5703177307 |
10 | 2240134144 |
11 | a4a551a36 |
12 | 526271b14 |
13 | 299144281 |
14 | 1737275ba |
15 | d19e86b4 |
hex | 8585bc00 |
2240134144 has 44 divisors (see below), whose sum is σ = 4532205384. Its totient is φ = 1106530304.
The previous prime is 2240134139. The next prime is 2240134177. The reversal of 2240134144 is 4414310422.
It is a super-2 number, since 2×22401341442 = 10036401966229225472, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71814 + ... + 98170.
Almost surely, 22240134144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2240134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266102692).
2240134144 is an abundant number, since it is smaller than the sum of its proper divisors (2292071240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2240134144 is an equidigital number, since it uses as much as digits as its factorization.
2240134144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 26460 (or 26442 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 25.
The square root of 2240134144 is about 47330.0553982351. The cubic root of 2240134144 is about 1308.4526422397.
Adding to 2240134144 its reverse (4414310422), we get a palindrome (6654444566).
The spelling of 2240134144 in words is "two billion, two hundred forty million, one hundred thirty-four thousand, one hundred forty-four".
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