Base | Representation |
---|---|
bin | 10001001011010… |
… | …11011101100100 |
3 | 101001010210021200 |
4 | 20211223131210 |
5 | 243342020301 |
6 | 22144242500 |
7 | 3366534156 |
oct | 1045533544 |
9 | 331123250 |
10 | 144095076 |
11 | 74379844 |
12 | 40310430 |
13 | 23b12278 |
14 | 151ccad6 |
15 | c9b4c86 |
hex | 896b764 |
144095076 has 18 divisors (see below), whose sum is σ = 364240422. Its totient is φ = 48031680.
The previous prime is 144095047. The next prime is 144095087. The reversal of 144095076 is 670590441.
144095076 is a `hidden beast` number, since 144 + 0 + 9 + 507 + 6 = 666.
144095076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 117158976 + 26936100 = 10824^2 + 5190^2 .
It is a tau number, because it is divible by the number of its divisors (18).
It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4002641 = 144095076 / (1 + 4 + 4 + 0 + 9 + 5 + 0 + 7 + 6).
It is a self number, because there is not a number n which added to its sum of digits gives 144095076.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2001285 + ... + 2001356.
It is an arithmetic number, because the mean of its divisors is an integer number (20235579).
Almost surely, 2144095076 is an apocalyptic number.
It is an amenable number.
144095076 is an abundant number, since it is smaller than the sum of its proper divisors (220145346).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144095076 is a wasteful number, since it uses less digits than its factorization.
144095076 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4002651 (or 4002646 counting only the distinct ones).
The product of its (nonzero) digits is 30240, while the sum is 36.
The square root of 144095076 is about 12003.9608463207. The cubic root of 144095076 is about 524.2636097635.
The spelling of 144095076 in words is "one hundred forty-four million, ninety-five thousand, seventy-six".
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