| Base | Representation |
|---|---|
| bin | 10001001010101… |
| … | …11110001000000 |
| 3 | 101000222200121200 |
| 4 | 20211113301000 |
| 5 | 243331430100 |
| 6 | 22142421200 |
| 7 | 3366050025 |
| oct | 1045276100 |
| 9 | 330880550 |
| 10 | 144014400 |
| 11 | 74324172 |
| 12 | 40291800 |
| 13 | 23ab462a |
| 14 | 151ab54c |
| 15 | c99ae00 |
| hex | 8957c40 |
144014400 has 252 divisors, whose sum is σ = 522660372. Its totient is φ = 37601280.
The previous prime is 144014399. The next prime is 144014401. The reversal of 144014400 is 4410441.
It is an interprime number because it is at equal distance from previous prime (144014399) and next prime (144014401).
It can be written as a sum of positive squares in 6 ways, for example, as 589824 + 143424576 = 768^2 + 11976^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144014401) by changing a digit.
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 35 ways as a sum of consecutive naturals, for example, 1051132 + ... + 1051268.
Almost surely, 2144014400 is an apocalyptic number.
144014400 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 144014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261330186).
144014400 is an abundant number, since it is smaller than the sum of its proper divisors (378645972).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144014400 is a wasteful number, since it uses less digits than its factorization.
144014400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 238 (or 220 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 144014400 is about 12000.5999850007. The cubic root of 144014400 is about 524.1657498687.
Adding to 144014400 its reverse (4410441), we get a palindrome (148424841).
Multiplying 144014400 by its reverse (4410441), we get a square (635167014350400 = 252025202).
The spelling of 144014400 in words is "one hundred forty-four million, fourteen thousand, four hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.082 sec. • engine limits •