Base | Representation |
---|---|
bin | 10001001100000… |
… | …00011100010000 |
3 | 101001022011011100 |
4 | 20212000130100 |
5 | 243402243013 |
6 | 22150144400 |
7 | 3400342536 |
oct | 1046003420 |
9 | 331264140 |
10 | 144181008 |
11 | 74428364 |
12 | 40352100 |
13 | 23b4240a |
14 | 15212156 |
15 | c9d0473 |
hex | 8980710 |
144181008 has 60 divisors (see below), whose sum is σ = 414427468. Its totient is φ = 46759680.
The previous prime is 144181001. The next prime is 144181013. The reversal of 144181008 is 800181441.
It can be written as a sum of positive squares in 2 ways, for example, as 73822464 + 70358544 = 8592^2 + 8388^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144181001) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8203 + ... + 18858.
Almost surely, 2144181008 is an apocalyptic number.
144181008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
144181008 is an abundant number, since it is smaller than the sum of its proper divisors (270246460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144181008 is a wasteful number, since it uses less digits than its factorization.
144181008 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 27112 (or 27103 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 27.
The square root of 144181008 is about 12007.5396314149. The cubic root of 144181008 is about 524.3678050148.
The spelling of 144181008 in words is "one hundred forty-four million, one hundred eighty-one thousand, eight".
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