Base | Representation |
---|---|
bin | 1000011001010110001… |
… | …1011101110100011010 |
3 | 111210022112200210021000 |
4 | 2012111203131310122 |
5 | 4330402203220010 |
6 | 150133032325430 |
7 | 13264322316063 |
oct | 2062543356432 |
9 | 453275623230 |
10 | 144243023130 |
11 | 5619a476228 |
12 | 23b56843876 |
13 | 107a995257b |
14 | 6da4d6356a |
15 | 3b4349d7c0 |
hex | 21958ddd1a |
144243023130 has 96 divisors (see below), whose sum is σ = 393802758720. Its totient is φ = 37570145760.
The previous prime is 144243023117. The next prime is 144243023131. The reversal of 144243023130 is 31320342441.
144243023130 is a `hidden beast` number, since 1 + 4 + 42 + 4 + 302 + 313 + 0 = 666.
144243023130 is digitally balanced in base 2, 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 (27).
It is a junction number, because it is equal to n+sod(n) for n = 144243023094 and 144243023103.
It is not an unprimeable number, because it can be changed into a prime (144243023131) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354765 + ... + 643695.
It is an arithmetic number, because the mean of its divisors is an integer number (4102112070).
Almost surely, 2144243023130 is an apocalyptic number.
144243023130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 144243023130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196901379360).
144243023130 is an abundant number, since it is smaller than the sum of its proper divisors (249559735590).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144243023130 is a wasteful number, since it uses less digits than its factorization.
144243023130 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 289033 (or 288984 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
Adding to 144243023130 its reverse (31320342441), we get a palindrome (175563365571).
The spelling of 144243023130 in words is "one hundred forty-four billion, two hundred forty-three million, twenty-three thousand, one hundred thirty".
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