Base | Representation |
---|---|
bin | 10001001101001… |
… | …01000011111000 |
3 | 101001120202220121 |
4 | 20212211003320 |
5 | 243422043000 |
6 | 22153303024 |
7 | 3401536042 |
oct | 1046450370 |
9 | 331522817 |
10 | 144331000 |
11 | 74520020 |
12 | 40404a74 |
13 | 23b95778 |
14 | 15250a92 |
15 | ca0eb1a |
hex | 89a50f8 |
144331000 has 64 divisors (see below), whose sum is σ = 368465760. Its totient is φ = 52480000.
The previous prime is 144330917. The next prime is 144331021. The reversal of 144331000 is 133441.
144331000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1443310002 = 41662875122000000, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4440 + ... + 17560.
Almost surely, 2144331000 is an apocalyptic number.
144331000 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 144331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184232880).
144331000 is an abundant number, since it is smaller than the sum of its proper divisors (224134760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144331000 is a wasteful number, since it uses less digits than its factorization.
144331000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13153 (or 13139 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
The square root of 144331000 is about 12013.7837503428. The cubic root of 144331000 is about 524.5495758759.
Adding to 144331000 its reverse (133441), we get a palindrome (144464441).
The spelling of 144331000 in words is "one hundred forty-four million, three hundred thirty-one thousand".
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