Base | Representation |
---|---|
bin | 10001001100001… |
… | …11100010110100 |
3 | 101001100122001211 |
4 | 20212013202310 |
5 | 243404210400 |
6 | 22150531204 |
7 | 3400523416 |
oct | 1046074264 |
9 | 331318054 |
10 | 144210100 |
11 | 74448201 |
12 | 40366b04 |
13 | 23b52728 |
14 | 1521c9b6 |
15 | c9d8dba |
hex | 89878b4 |
144210100 has 72 divisors (see below), whose sum is σ = 325479168. Its totient is φ = 55420800.
The previous prime is 144210091. The next prime is 144210103. The reversal of 144210100 is 1012441.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144210103) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286449 + ... + 286951.
It is an arithmetic number, because the mean of its divisors is an integer number (4520544).
Almost surely, 2144210100 is an apocalyptic number.
144210100 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 144210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162739584).
144210100 is an abundant number, since it is smaller than the sum of its proper divisors (181269068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144210100 is a wasteful number, since it uses less digits than its factorization.
144210100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 625 (or 618 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 13.
The square root of 144210100 is about 12008.7509758509. The cubic root of 144210100 is about 524.4030705987.
Adding to 144210100 its reverse (1012441), we get a palindrome (145222541).
The spelling of 144210100 in words is "one hundred forty-four million, two hundred ten thousand, one hundred".
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