Base | Representation |
---|---|
bin | 10001001011011… |
… | …01101001000100 |
3 | 101001011020112100 |
4 | 20211231221010 |
5 | 243342312004 |
6 | 22144352100 |
7 | 3366602202 |
oct | 1045555104 |
9 | 331136470 |
10 | 144104004 |
11 | 74385520 |
12 | 40315630 |
13 | 23b16355 |
14 | 151d2072 |
15 | c9b7739 |
hex | 896da44 |
144104004 has 72 divisors (see below), whose sum is σ = 401349312. Its totient is φ = 43231680.
The previous prime is 144104003. The next prime is 144104033. The reversal of 144104004 is 400401441.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (144104003) 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, 39022 + ... + 42554.
It is an arithmetic number, because the mean of its divisors is an integer number (5574296).
Almost surely, 2144104004 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 144104004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200674656).
144104004 is an abundant number, since it is smaller than the sum of its proper divisors (257245308).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144104004 is a wasteful number, since it uses less digits than its factorization.
144104004 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3657 (or 3652 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 144104004 is about 12004.3327178148. The cubic root of 144104004 is about 524.2744371722.
Adding to 144104004 its reverse (400401441), we get a palindrome (544505445).
The spelling of 144104004 in words is "one hundred forty-four million, one hundred four thousand, four".
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