Base | Representation |
---|---|
bin | 10001001101000… |
… | …00111010111100 |
3 | 101001112220122121 |
4 | 20212200322330 |
5 | 243421022134 |
6 | 22153052324 |
7 | 3401435440 |
oct | 1046407274 |
9 | 331486577 |
10 | 144314044 |
11 | 74509306 |
12 | 403b70a4 |
13 | 23b8ab34 |
14 | 15248820 |
15 | ca09ab4 |
hex | 89a0ebc |
144314044 has 48 divisors (see below), whose sum is σ = 308869120. Its totient is φ = 57620160.
The previous prime is 144314041. The next prime is 144314069. The reversal of 144314044 is 440413441.
It is a happy number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144314041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30229 + ... + 34675.
Almost surely, 2144314044 is an apocalyptic number.
144314044 is a gapful number since it is divisible by the number (14) 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 144314044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154434560).
144314044 is an abundant number, since it is smaller than the sum of its proper divisors (164555076).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144314044 is a wasteful number, since it uses less digits than its factorization.
144314044 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4538 (or 4536 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 25.
The square root of 144314044 is about 12013.0780402027. The cubic root of 144314044 is about 524.5290337172.
Adding to 144314044 its reverse (440413441), we get a palindrome (584727485).
The spelling of 144314044 in words is "one hundred forty-four million, three hundred fourteen thousand, forty-four".
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