Base | Representation |
---|---|
bin | 1000011001100100110… |
… | …0011101011101010000 |
3 | 111210110210121212121202 |
4 | 2012121030131131100 |
5 | 4331013322214300 |
6 | 150143053410332 |
7 | 13265663423210 |
oct | 2063114353520 |
9 | 453423555552 |
10 | 144304101200 |
11 | 562209a3076 |
12 | 23b731999a8 |
13 | 107b94b913c |
14 | 6dad102240 |
15 | 3b48a15ad5 |
hex | 219931d750 |
144304101200 has 120 divisors (see below), whose sum is σ = 397355817600. Its totient is φ = 49333593600.
The previous prime is 144304101199. The next prime is 144304101203. The reversal of 144304101200 is 2101403441.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144304101203) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 903365 + ... + 1051035.
It is an arithmetic number, because the mean of its divisors is an integer number (3311298480).
Almost surely, 2144304101200 is an apocalyptic number.
144304101200 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 144304101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198677908800).
144304101200 is an abundant number, since it is smaller than the sum of its proper divisors (253051716400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144304101200 is a wasteful number, since it uses less digits than its factorization.
144304101200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 148045 (or 148034 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
Adding to 144304101200 its reverse (2101403441), we get a palindrome (146405504641).
The spelling of 144304101200 in words is "one hundred forty-four billion, three hundred four million, one hundred one thousand, two hundred".
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