| Base | Representation |
|---|---|
| bin | 1100010110011001101… |
| … | …11111100101000100000 |
| 3 | 1111120022021010101021200 |
| 4 | 12023030313330220200 |
| 5 | 23423024031411334 |
| 6 | 522535124521200 |
| 7 | 42441432412566 |
| oct | 6131467745040 |
| 9 | 1446267111250 |
| 10 | 424344013344 |
| 11 | 153a66150999 |
| 12 | 6a2a7b50200 |
| 13 | 31027ca5974 |
| 14 | 1677738ba36 |
| 15 | b088bde799 |
| hex | 62ccdfca20 |
424344013344 has 144 divisors (see below), whose sum is σ = 1236652129440. Its totient is φ = 137943198720.
The previous prime is 424344013343. The next prime is 424344013393. The reversal of 424344013344 is 443310443424.
424344013344 is a `hidden beast` number, since 4 + 2 + 43 + 440 + 133 + 44 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
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 = 424344013299 and 424344013308.
It is not an unprimeable number, because it can be changed into a prime (424344013343) 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 23 ways as a sum of consecutive naturals, for example, 38476759 + ... + 38487785.
It is an arithmetic number, because the mean of its divisors is an integer number (8587862010).
Almost surely, 2424344013344 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 424344013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618326064720).
424344013344 is an abundant number, since it is smaller than the sum of its proper divisors (812308116096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424344013344 is a wasteful number, since it uses less digits than its factorization.
424344013344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14343 (or 14332 counting only the distinct ones).
The product of its (nonzero) digits is 221184, while the sum is 36.
Adding to 424344013344 its reverse (443310443424), we get a palindrome (867654456768).
The spelling of 424344013344 in words is "four hundred twenty-four billion, three hundred forty-four million, thirteen thousand, three hundred forty-four".
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