Base | Representation |
---|---|
bin | 111111110010011… |
… | …0110001000000000 |
3 | 12112011110211020100 |
4 | 1333210312020000 |
5 | 13340413142222 |
6 | 552215242400 |
7 | 104016543051 |
oct | 17744661000 |
9 | 5464424210 |
10 | 2140365312 |
11 | 9a91a9158 |
12 | 4b8979400 |
13 | 281581a67 |
14 | 164396728 |
15 | c7d8c4ac |
hex | 7f936200 |
2140365312 has 120 divisors (see below), whose sum is σ = 6328462140. Its totient is φ = 695992320.
The previous prime is 2140365299. The next prime is 2140365313. The reversal of 2140365312 is 2135630412.
2140365312 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 3 + 653 + 1 + 2 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 1878702336 + 261662976 = 43344^2 + 16176^2 .
It is not an unprimeable number, because it can be changed into a prime (2140365313) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183264 + ... + 194592.
Almost surely, 22140365312 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 2140365312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164231070).
2140365312 is an abundant number, since it is smaller than the sum of its proper divisors (4188096828).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2140365312 is a wasteful number, since it uses less digits than its factorization.
2140365312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11394 (or 11375 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 2140365312 is about 46264.0823101464. The cubic root of 2140365312 is about 1288.7320658626.
Adding to 2140365312 its reverse (2135630412), we get a palindrome (4275995724).
The spelling of 2140365312 in words is "two billion, one hundred forty million, three hundred sixty-five thousand, three hundred twelve".
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