| Base | Representation |
|---|---|
| bin | 10001001100011… |
| … | …10110111111000 |
| 3 | 101001102011020200 |
| 4 | 20212032313320 |
| 5 | 243411140440 |
| 6 | 22151322200 |
| 7 | 3401010063 |
| oct | 1046166770 |
| 9 | 331364220 |
| 10 | 144240120 |
| 11 | 74468812 |
| 12 | 40380360 |
| 13 | 23b632ab |
| 14 | 152298da |
| 15 | c9e2c30 |
| hex | 898edf8 |
144240120 has 96 divisors (see below), whose sum is σ = 473541120. Its totient is φ = 38073600.
The previous prime is 144240119. The next prime is 144240127. The reversal of 144240120 is 21042441.
It is a super-2 number, since 2×1442401202 = 41610424435228800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 144240093 and 144240102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144240127) 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, 34377 + ... + 38343.
It is an arithmetic number, because the mean of its divisors is an integer number (4932720).
Almost surely, 2144240120 is an apocalyptic number.
144240120 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 144240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236770560).
144240120 is an abundant number, since it is smaller than the sum of its proper divisors (329301000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144240120 is a wasteful number, since it uses less digits than its factorization.
144240120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4085 (or 4078 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 144240120 is about 12010.0008326394. Note that the first 3 decimals coincide. The cubic root of 144240120 is about 524.4394561406.
Adding to 144240120 its reverse (21042441), we get a palindrome (165282561).
The spelling of 144240120 in words is "one hundred forty-four million, two hundred forty thousand, one hundred twenty".
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