Base | Representation |
---|---|
bin | 10001010000010… |
… | …00001100000100 |
3 | 101002100101212200 |
4 | 20220020030010 |
5 | 244023041103 |
6 | 22210114500 |
7 | 3405146562 |
oct | 1050101404 |
9 | 332311780 |
10 | 144737028 |
11 | 74778087 |
12 | 4057ba30 |
13 | 23ca8517 |
14 | 15318a32 |
15 | ca900a3 |
hex | 8a08304 |
144737028 has 36 divisors (see below), whose sum is σ = 378481740. Its totient is φ = 46581696.
The previous prime is 144737023. The next prime is 144737029. The reversal of 144737028 is 820737441.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 69255684 + 75481344 = 8322^2 + 8688^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 144736983 and 144737001.
It is not an unprimeable number, because it can be changed into a prime (144737023) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68275 + ... + 70362.
Almost surely, 2144737028 is an apocalyptic number.
144737028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
144737028 is an abundant number, since it is smaller than the sum of its proper divisors (233744712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144737028 is a wasteful number, since it uses less digits than its factorization.
144737028 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 138676 (or 138671 counting only the distinct ones).
The product of its (nonzero) digits is 37632, while the sum is 36.
The square root of 144737028 is about 12030.6703055150. The cubic root of 144737028 is about 525.0409981588.
The spelling of 144737028 in words is "one hundred forty-four million, seven hundred thirty-seven thousand, twenty-eight".
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