Base | Representation |
---|---|
bin | 10001001100011… |
… | …00101001011000 |
3 | 101001101200201220 |
4 | 20212030221120 |
5 | 243410343000 |
6 | 22151212040 |
7 | 3400641354 |
oct | 1046145130 |
9 | 331350656 |
10 | 144231000 |
11 | 74461981 |
12 | 40377020 |
13 | 23b5c0b4 |
14 | 15226464 |
15 | c9e01a0 |
hex | 898ca58 |
144231000 has 128 divisors (see below), whose sum is σ = 454671360. Its totient is φ = 38064000.
The previous prime is 144230993. The next prime is 144231037. The reversal of 144231000 is 132441.
It is a super-2 number, since 2×1442310002 = 41605162722000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392817 + ... + 393183.
It is an arithmetic number, because the mean of its divisors is an integer number (3552120).
Almost surely, 2144231000 is an apocalyptic number.
144231000 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 144231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227335680).
144231000 is an abundant number, since it is smaller than the sum of its proper divisors (310440360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144231000 is a wasteful number, since it uses less digits than its factorization.
144231000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 522 (or 508 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 144231000 is about 12009.6211430669. The cubic root of 144231000 is about 524.4284028390.
Adding to 144231000 its reverse (132441), we get a palindrome (144363441).
The spelling of 144231000 in words is "one hundred forty-four million, two hundred thirty-one thousand".
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