Base | Representation |
---|---|
bin | 10001001101111… |
… | …00100110110100 |
3 | 101001202200012121 |
4 | 20212330212310 |
5 | 243433134234 |
6 | 22155325324 |
7 | 3402420160 |
oct | 1046744664 |
9 | 331680177 |
10 | 144427444 |
11 | 74586527 |
12 | 40450844 |
13 | 23bca635 |
14 | 15277ca0 |
15 | ca2d4b4 |
hex | 89bc9b4 |
144427444 has 48 divisors (see below), whose sum is σ = 307359360. Its totient is φ = 57968640.
The previous prime is 144427441. The next prime is 144427483. The reversal of 144427444 is 444724441.
144427444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×1444274443 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (34).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144427441) 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, 114087 + ... + 115345.
It is an arithmetic number, because the mean of its divisors is an integer number (6403320).
Almost surely, 2144427444 is an apocalyptic number.
144427444 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 144427444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153679680).
144427444 is an abundant number, since it is smaller than the sum of its proper divisors (162931916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144427444 is a wasteful number, since it uses less digits than its factorization.
144427444 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1528 (or 1526 counting only the distinct ones).
The product of its digits is 57344, while the sum is 34.
The square root of 144427444 is about 12017.7969694949. The cubic root of 144427444 is about 524.6663869912. Note that the first 3 decimals are identical.
The spelling of 144427444 in words is "one hundred forty-four million, four hundred twenty-seven thousand, four hundred forty-four".
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