Base | Representation |
---|---|
bin | 10001001010101… |
… | …10110000000000 |
3 | 101000222110220121 |
4 | 20211112300000 |
5 | 243331311430 |
6 | 22142350024 |
7 | 3366031633 |
oct | 1045266000 |
9 | 330873817 |
10 | 144010240 |
11 | 74321030 |
12 | 4028b314 |
13 | 23ab277a |
14 | 151a9c1a |
15 | c999a7a |
hex | 8956c00 |
144010240 has 88 divisors (see below), whose sum is σ = 377008272. Its totient is φ = 52346880.
The previous prime is 144010211. The next prime is 144010261. The reversal of 144010240 is 42010441.
144010240 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 (88).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55042 + ... + 57598.
Almost surely, 2144010240 is an apocalyptic number.
144010240 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 144010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188504136).
144010240 is an abundant number, since it is smaller than the sum of its proper divisors (232998032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144010240 is a wasteful number, since it uses less digits than its factorization.
144010240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2593 (or 2575 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
The square root of 144010240 is about 12000.4266590818. The cubic root of 144010240 is about 524.1607028028.
Adding to 144010240 its reverse (42010441), we get a palindrome (186020681).
It can be divided in two parts, 1440 and 10240, that multiplied together give a square (14745600 = 38402).
The spelling of 144010240 in words is "one hundred forty-four million, ten thousand, two hundred forty".
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