Base | Representation |
---|---|
bin | 10001001100000… |
… | …01101010000000 |
3 | 101001022101222122 |
4 | 20212001222000 |
5 | 243402422414 |
6 | 22150223412 |
7 | 3400363205 |
oct | 1046015200 |
9 | 331271878 |
10 | 144185984 |
11 | 74431078 |
12 | 40354b68 |
13 | 23b44767 |
14 | 15213cac |
15 | c9d1b8e |
hex | 8981a80 |
144185984 has 64 divisors (see below), whose sum is σ = 305877600. Its totient is φ = 67507200.
The previous prime is 144185983. The next prime is 144186001. The reversal of 144185984 is 489581441.
It is a tau number, because it is divible by the number of its divisors (64).
It is not an unprimeable number, because it can be changed into a prime (144185983) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245339 + ... + 245925.
Almost surely, 2144185984 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 144185984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152938800).
144185984 is an abundant number, since it is smaller than the sum of its proper divisors (161691616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144185984 is a wasteful number, since it uses less digits than its factorization.
144185984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 721 (or 709 counting only the distinct ones).
The product of its digits is 184320, while the sum is 44.
The square root of 144185984 is about 12007.7468327742. The cubic root of 144185984 is about 524.3738373030.
It can be divided in two parts, 14418 and 5984, that added together give a palindrome (20402).
The spelling of 144185984 in words is "one hundred forty-four million, one hundred eighty-five thousand, nine hundred eighty-four".
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