| Base | Representation |
|---|---|
| bin | 10001001100011… |
| … | …00100000000000 |
| 3 | 101001101122220200 |
| 4 | 20212030200000 |
| 5 | 243410333100 |
| 6 | 22151205200 |
| 7 | 3400636536 |
| oct | 1046144000 |
| 9 | 331348820 |
| 10 | 144230400 |
| 11 | 74461486 |
| 12 | 40376800 |
| 13 | 23b5ba42 |
| 14 | 15226156 |
| 15 | c9dee00 |
| hex | 898c800 |
144230400 has 216 divisors, whose sum is σ = 518189490. Its totient is φ = 38338560.
The previous prime is 144230381. The next prime is 144230419. The reversal of 144230400 is 4032441.
It is an interprime number because it is at equal distance from previous prime (144230381) and next prime (144230419).
It can be written as a sum of positive squares in 3 ways, for example, as 57517056 + 86713344 = 7584^2 + 9312^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460644 + ... + 460956.
Almost surely, 2144230400 is an apocalyptic number.
144230400 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 144230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259094745).
144230400 is an abundant number, since it is smaller than the sum of its proper divisors (373959090).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144230400 is a wasteful number, since it uses less digits than its factorization.
144230400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 351 (or 323 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 144230400 is about 12009.5961630689. The cubic root of 144230400 is about 524.4276756318.
Adding to 144230400 its reverse (4032441), we get a palindrome (148262841).
It can be divided in two parts, 144 and 230400, that multiplied together give a square (33177600 = 57602).
The spelling of 144230400 in words is "one hundred forty-four million, two hundred thirty thousand, four hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.063 sec. • engine limits •