Base | Representation |
---|---|
bin | 111100111000011111… |
… | …0000000010101000000 |
3 | 110111110210111200120000 |
4 | 1321300332000111000 |
5 | 4120231021240334 |
6 | 140021344320000 |
7 | 12305652252300 |
oct | 1716076002500 |
9 | 414423450500 |
10 | 130744321344 |
11 | 504a284083a |
12 | 2140a013000 |
13 | c438161670 |
14 | 648429d600 |
15 | 360338d299 |
hex | 1e70f80540 |
130744321344 has 1260 divisors, whose sum is σ = 519528580956. Its totient is φ = 32216776704.
The previous prime is 130744321291. The next prime is 130744321397. The reversal of 130744321344 is 443123447031.
130744321344 is a `hidden beast` number, since 1 + 307 + 4 + 4 + 3 + 2 + 1 + 344 = 666.
It is an interprime number because it is at equal distance from previous prime (130744321291) and next prime (130744321397).
It can be written as a sum of positive squares in 6 ways, for example, as 2694855744 + 128049465600 = 51912^2 + 357840^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 130744321299 and 130744321308.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 954338044 + ... + 954338180.
Almost surely, 2130744321344 is an apocalyptic number.
130744321344 is a gapful number since it is divisible by the number (14) 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 130744321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259764290478).
130744321344 is an abundant number, since it is smaller than the sum of its proper divisors (388784259612).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130744321344 is a wasteful number, since it uses less digits than its factorization.
130744321344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 222 (or 179 counting only the distinct ones).
The product of its (nonzero) digits is 96768, while the sum is 36.
Adding to 130744321344 its reverse (443123447031), we get a palindrome (573867768375).
The spelling of 130744321344 in words is "one hundred thirty billion, seven hundred forty-four million, three hundred twenty-one thousand, three hundred forty-four".
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