Base | Representation |
---|---|
bin | 10001001011100… |
… | …01100011011000 |
3 | 101001012001111200 |
4 | 20211301203120 |
5 | 243343320044 |
6 | 22144554200 |
7 | 3366666666 |
oct | 1045614330 |
9 | 331161450 |
10 | 144120024 |
11 | 74396564 |
12 | 40322960 |
13 | 23b20729 |
14 | 151d7c36 |
15 | c9bc369 |
hex | 89718d8 |
144120024 has 96 divisors (see below), whose sum is σ = 421480800. Its totient is φ = 44352000.
The previous prime is 144120019. The next prime is 144120029. The reversal of 144120024 is 420021441.
144120024 is a `hidden beast` number, since 1 + 441 + 200 + 24 = 666.
It is a Cunningham number, because it is equal to 120052-1.
It is an interprime number because it is at equal distance from previous prime (144120019) and next prime (144120029).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a plaindrome in base 7.
It is a zygodrome in base 7.
It is a junction number, because it is equal to n+sod(n) for n = 144119979 and 144120006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144120029) 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, 46524 + ... + 49524.
It is an arithmetic number, because the mean of its divisors is an integer number (4390425).
Almost surely, 2144120024 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 144120024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210740400).
144120024 is an abundant number, since it is smaller than the sum of its proper divisors (277360776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144120024 is a wasteful number, since it uses less digits than its factorization.
144120024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3065 (or 3058 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 144120024 is about 12004.9999583507. Note that the first 4 decimals coincide. The cubic root of 144120024 is about 524.2938642643.
Adding to 144120024 its reverse (420021441), we get a palindrome (564141465).
The spelling of 144120024 in words is "one hundred forty-four million, one hundred twenty thousand, twenty-four".
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