Base | Representation |
---|---|
bin | 10001001011011… |
… | …00111010001000 |
3 | 101001011002102002 |
4 | 20211230322020 |
5 | 243342213000 |
6 | 22144330132 |
7 | 3366560351 |
oct | 1045547210 |
9 | 331132362 |
10 | 144101000 |
11 | 7438323a |
12 | 40313948 |
13 | 23b14b84 |
14 | 151d0d28 |
15 | c9b68d5 |
hex | 896ce88 |
144101000 has 64 divisors (see below), whose sum is σ = 348894000. Its totient is φ = 55641600.
The previous prime is 144100991. The next prime is 144101021. The reversal of 144101000 is 101441.
It can be written as a sum of positive squares in 8 ways, for example, as 148996 + 143952004 = 386^2 + 11998^2 .
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, 26516 + ... + 31484.
Almost surely, 2144101000 is an apocalyptic number.
144101000 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 144101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174447000).
144101000 is an abundant number, since it is smaller than the sum of its proper divisors (204793000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144101000 is a wasteful number, since it uses less digits than its factorization.
144101000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5019 (or 5005 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 11.
The square root of 144101000 is about 12004.2075956724. The cubic root of 144101000 is about 524.2707941289.
Adding to 144101000 its reverse (101441), we get a palindrome (144202441).
It can be divided in two parts, 14 and 4101000, that added together give a palindrome (4101014).
The spelling of 144101000 in words is "one hundred forty-four million, one hundred one thousand".
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