Base | Representation |
---|---|
bin | 10001001011101… |
… | …01111100010000 |
3 | 101001012222011110 |
4 | 20211311330100 |
5 | 243344404000 |
6 | 22145213320 |
7 | 3400103256 |
oct | 1045657420 |
9 | 331188143 |
10 | 144138000 |
11 | 743a9016 |
12 | 40331240 |
13 | 23b28976 |
14 | 152005d6 |
15 | c9c2850 |
hex | 8975f10 |
144138000 has 80 divisors (see below), whose sum is σ = 464720256. Its totient is φ = 38435200.
The previous prime is 144137999. The next prime is 144138031. The reversal of 144138000 is 831441.
It is a tau number, because it is divible by the number of its divisors (80).
It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.
It is an unprimeable number.
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, 6012 + ... + 18011.
Almost surely, 2144138000 is an apocalyptic number.
144138000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
144138000 is an abundant number, since it is smaller than the sum of its proper divisors (320582256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144138000 is a wasteful number, since it uses less digits than its factorization.
144138000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24049 (or 24033 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 21.
The square root of 144138000 is about 12005.7486230555. The cubic root of 144138000 is about 524.3156616394.
Adding to 144138000 its reverse (831441), we get a palindrome (144969441).
The spelling of 144138000 in words is "one hundred forty-four million, one hundred thirty-eight thousand".
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