Base | Representation |
---|---|
bin | 111001010010111100… |
… | …1001000110010101000 |
3 | 102202121000210121211200 |
4 | 1302211321020302220 |
5 | 4003442312200034 |
6 | 132305211324200 |
7 | 11614050214605 |
oct | 1624571106250 |
9 | 382530717750 |
10 | 123042303144 |
11 | 48200199542 |
12 | 1ba1a750660 |
13 | b7ab590847 |
14 | 5d534016ac |
15 | 3302103a99 |
hex | 1ca5e48ca8 |
123042303144 has 96 divisors (see below), whose sum is σ = 344887419240. Its totient is φ = 39601152000.
The previous prime is 123042303133. The next prime is 123042303149. The reversal of 123042303144 is 441303240321.
123042303144 is a `hidden beast` number, since 1 + 230 + 423 + 0 + 3 + 1 + 4 + 4 = 666.
123042303144 is digitally balanced in base 3, 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 4 ways, for example, as 108793106244 + 14249196900 = 329838^2 + 119370^2 .
It is not an unprimeable number, because it can be changed into a prime (123042303149) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 71494 + ... + 501194.
Almost surely, 2123042303144 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 123042303144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172443709620).
123042303144 is an abundant number, since it is smaller than the sum of its proper divisors (221845116096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123042303144 is a wasteful number, since it uses less digits than its factorization.
123042303144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 429851 (or 429844 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
Adding to 123042303144 its reverse (441303240321), we get a palindrome (564345543465).
The spelling of 123042303144 in words is "one hundred twenty-three billion, forty-two million, three hundred three thousand, one hundred forty-four".
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