Base | Representation |
---|---|
bin | 10001001011001… |
… | …00010010010000 |
3 | 101001002021221221 |
4 | 20211210102100 |
5 | 243340100210 |
6 | 22143454424 |
7 | 3366352363 |
oct | 1045442220 |
9 | 331067857 |
10 | 144065680 |
11 | 74359750 |
12 | 402b7414 |
13 | 23b01a85 |
14 | 151c20da |
15 | c9ab1da |
hex | 8964490 |
144065680 has 80 divisors (see below), whose sum is σ = 377261568. Its totient is φ = 50688000.
The previous prime is 144065659. The next prime is 144065681. The reversal of 144065680 is 86560441.
144065680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (144065681) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24640 + ... + 29920.
Almost surely, 2144065680 is an apocalyptic number.
144065680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188630784).
144065680 is an abundant number, since it is smaller than the sum of its proper divisors (233195888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144065680 is a wasteful number, since it uses less digits than its factorization.
144065680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5336 (or 5330 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 34.
The square root of 144065680 is about 12002.7363546818. The cubic root of 144065680 is about 524.2279566803.
The spelling of 144065680 in words is "one hundred forty-four million, sixty-five thousand, six hundred eighty".
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