Base | Representation |
---|---|
bin | 100000111010000111011111… |
… | …000111101100101111000000 |
3 | 200222110011200002200201222001 |
4 | 200322013133013230233000 |
5 | 122432234103103420340 |
6 | 1231452342105353344 |
7 | 42325326311263102 |
oct | 4072073707545700 |
9 | 628404602621861 |
10 | 144731256310720 |
11 | 421301aa062362 |
12 | 14295a78a98854 |
13 | 629b1393ba281 |
14 | 27a505cb67572 |
15 | 11aebd35d829a |
hex | 83a1df1ecbc0 |
144731256310720 has 112 divisors (see below), whose sum is σ = 346503937521600. Its totient is φ = 57579838930944.
The previous prime is 144731256310609. The next prime is 144731256310733. The reversal of 144731256310720 is 27013652137441.
144731256310720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168770062 + ... + 169625458.
Almost surely, 2144731256310720 is an apocalyptic number.
144731256310720 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 144731256310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173251968760800).
144731256310720 is an abundant number, since it is smaller than the sum of its proper divisors (201772681210880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144731256310720 is a wasteful number, since it uses less digits than its factorization.
144731256310720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 858270 (or 858260 counting only the distinct ones).
The product of its (nonzero) digits is 846720, while the sum is 46.
The spelling of 144731256310720 in words is "one hundred forty-four trillion, seven hundred thirty-one billion, two hundred fifty-six million, three hundred ten thousand, seven hundred twenty".
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