Base | Representation |
---|---|
bin | 10001001011110… |
… | …01101001000000 |
3 | 101001020201221122 |
4 | 20211321221000 |
5 | 243400400102 |
6 | 22145411412 |
7 | 3400165403 |
oct | 1045715100 |
9 | 331221848 |
10 | 144153152 |
11 | 74409440 |
12 | 40339b68 |
13 | 23b32830 |
14 | 15205d3a |
15 | c9c70a2 |
hex | 8979a40 |
144153152 has 112 divisors (see below), whose sum is σ = 354177600. Its totient is φ = 57231360.
The previous prime is 144153151. The next prime is 144153197. The reversal of 144153152 is 251351441.
144153152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is not an unprimeable number, because it can be changed into a prime (144153151) 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 15 ways as a sum of consecutive naturals, for example, 173474 + ... + 174302.
It is an arithmetic number, because the mean of its divisors is an integer number (3162300).
Almost surely, 2144153152 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 144153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177088800).
144153152 is an abundant number, since it is smaller than the sum of its proper divisors (210024448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144153152 is a wasteful number, since it uses less digits than its factorization.
144153152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 884 (or 874 counting only the distinct ones).
The product of its digits is 2400, while the sum is 26.
The square root of 144153152 is about 12006.3796375094. The cubic root of 144153152 is about 524.3340332752.
The spelling of 144153152 in words is "one hundred forty-four million, one hundred fifty-three thousand, one hundred fifty-two".
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