Base | Representation |
---|---|
bin | 10001001101111… |
… | …01011110011000 |
3 | 101001202212002022 |
4 | 20212331132120 |
5 | 243433243000 |
6 | 22155354012 |
7 | 3402433430 |
oct | 1046753630 |
9 | 331685068 |
10 | 144431000 |
11 | 7458916a |
12 | 40452908 |
13 | 23bcc13c |
14 | 152792c0 |
15 | ca2e585 |
hex | 89bd798 |
144431000 has 128 divisors (see below), whose sum is σ = 395366400. Its totient is φ = 48355200.
The previous prime is 144430999. The next prime is 144431041. The reversal of 144431000 is 134441.
It is a super-2 number, since 2×1444310002 = 41720627522000000, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 144431000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328781 + ... + 329219.
It is an arithmetic number, because the mean of its divisors is an integer number (3088800).
Almost surely, 2144431000 is an apocalyptic number.
144431000 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 144431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197683200).
144431000 is an abundant number, since it is smaller than the sum of its proper divisors (250935400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144431000 is a wasteful number, since it uses less digits than its factorization.
144431000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 514 (or 500 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 17.
The square root of 144431000 is about 12017.9449158332. The cubic root of 144431000 is about 524.6706929557.
Adding to 144431000 its reverse (134441), we get a palindrome (144565441).
The spelling of 144431000 in words is "one hundred forty-four million, four hundred thirty-one thousand".
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