Base | Representation |
---|---|
bin | 10001001011101… |
… | …11101011010000 |
3 | 101001020022220120 |
4 | 20211313223100 |
5 | 243400120404 |
6 | 22145310240 |
7 | 3400133055 |
oct | 1045675320 |
9 | 331208816 |
10 | 144145104 |
11 | 74403394 |
12 | 40335380 |
13 | 23b2bc7c |
14 | 1520302c |
15 | c9c49d9 |
hex | 8977ad0 |
144145104 has 80 divisors (see below), whose sum is σ = 381767232. Its totient is φ = 46854144.
The previous prime is 144145087. The next prime is 144145129. The reversal of 144145104 is 401541441.
144145104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1441451042 = 41555622014341632, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386262 + ... + 386634.
Almost surely, 2144145104 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144145104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190883616).
144145104 is an abundant number, since it is smaller than the sum of its proper divisors (237622128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144145104 is a wasteful number, since it uses less digits than its factorization.
144145104 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 564 (or 558 counting only the distinct ones).
The product of its (nonzero) digits is 1280, while the sum is 24.
The square root of 144145104 is about 12006.0444776787. The cubic root of 144145104 is about 524.3242753227.
Adding to 144145104 its reverse (401541441), we get a palindrome (545686545).
The spelling of 144145104 in words is "one hundred forty-four million, one hundred forty-five thousand, one hundred four".
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