Base | Representation |
---|---|
bin | 10001001011001… |
… | …10101001000010 |
3 | 101001002210012100 |
4 | 20211212221002 |
5 | 243340402310 |
6 | 22144011230 |
7 | 3366422460 |
oct | 1045465102 |
9 | 331083170 |
10 | 144075330 |
11 | 74365a23 |
12 | 40300b16 |
13 | 23b06299 |
14 | 151c5830 |
15 | c9adec0 |
hex | 8966a42 |
144075330 has 96 divisors (see below), whose sum is σ = 434274048. Its totient is φ = 32457600.
The previous prime is 144075329. The next prime is 144075331. The reversal of 144075330 is 33570441.
It is an interprime number because it is at equal distance from previous prime (144075329) and next prime (144075331).
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 144075294 and 144075303.
It is not an unprimeable number, because it can be changed into a prime (144075331) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 43120 + ... + 46340.
It is an arithmetic number, because the mean of its divisors is an integer number (4523688).
Almost surely, 2144075330 is an apocalyptic number.
144075330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 144075330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217137024).
144075330 is an abundant number, since it is smaller than the sum of its proper divisors (290198718).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144075330 is a wasteful number, since it uses less digits than its factorization.
144075330 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3312 (or 3309 counting only the distinct ones).
The product of its (nonzero) digits is 5040, while the sum is 27.
The square root of 144075330 is about 12003.1383396177. The cubic root of 144075330 is about 524.2396612649.
The spelling of 144075330 in words is "one hundred forty-four million, seventy-five thousand, three hundred thirty".
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