Base | Representation |
---|---|
bin | 10001001101000… |
… | …00111100001000 |
3 | 101001112220202102 |
4 | 20212200330020 |
5 | 243421022440 |
6 | 22153052532 |
7 | 3401435606 |
oct | 1046407410 |
9 | 331486672 |
10 | 144314120 |
11 | 74509375 |
12 | 403b7148 |
13 | 23b8ab92 |
14 | 15248876 |
15 | ca09b15 |
hex | 89a0f08 |
144314120 has 32 divisors (see below), whose sum is σ = 341798400. Its totient is φ = 54687168.
The previous prime is 144314089. The next prime is 144314129. The reversal of 144314120 is 21413441.
144314120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 144314092 and 144314101.
It is not an unprimeable number, because it can be changed into a prime (144314129) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94184 + ... + 95703.
It is an arithmetic number, because the mean of its divisors is an integer number (10681200).
Almost surely, 2144314120 is an apocalyptic number.
144314120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
144314120 is an abundant number, since it is smaller than the sum of its proper divisors (197484280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144314120 is a wasteful number, since it uses less digits than its factorization.
144314120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 189917 (or 189913 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 144314120 is about 12013.0812034215. The cubic root of 144314120 is about 524.5291257946.
Adding to 144314120 its reverse (21413441), we get a palindrome (165727561).
It can be divided in two parts, 14 and 4314120, that added together give a palindrome (4314134).
The spelling of 144314120 in words is "one hundred forty-four million, three hundred fourteen thousand, one hundred twenty".
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