Base | Representation |
---|---|
bin | 10001001010110… |
… | …10000111000001 |
3 | 101001000011210021 |
4 | 20211122013001 |
5 | 243332232001 |
6 | 22142533441 |
7 | 3366120022 |
oct | 1045320701 |
9 | 331004707 |
10 | 144024001 |
11 | 74330400 |
12 | 40297281 |
13 | 23ab8b04 |
14 | 151b0c49 |
15 | c99dba1 |
hex | 895a1c1 |
144024001 has 9 divisors (see below), whose sum is σ = 158452609. Its totient is φ = 130810900.
The previous prime is 144023993. The next prime is 144024059. The reversal of 144024001 is 100420441.
The square root of 144024001 is 12001.
It is a perfect power (a square), and thus also a powerful number.
It is not a de Polignac number, because 144024001 - 23 = 144023993 is a prime.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (144024301) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 131466 + ... + 132556.
Almost surely, 2144024001 is an apocalyptic number.
144024001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
144024001 is the 12001-st square number.
144024001 is the 6001-st centered octagonal number.
It is an amenable number.
144024001 is a deficient number, since it is larger than the sum of its proper divisors (14428608).
144024001 is an frugal number, since it uses more digits than its factorization.
144024001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2204 (or 1102 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
The cubic root of 144024001 is about 524.1773977862.
Multiplying 144024001 by its sum of digits (16), we get a square (2304384016 = 480042).
Adding to 144024001 its reverse (100420441), we get a palindrome (244444442).
The spelling of 144024001 in words is "one hundred forty-four million, twenty-four thousand, one".
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