| Base | Representation |
|---|---|
| bin | 100100010100001001011001… |
| … | …0110000101000001101010000 |
| 3 | 1112220000001021220212000000200 |
| 4 | 1020220102302300220031100 |
| 5 | 313332003133022031120 |
| 6 | 3051211201025415200 |
| 7 | 124165635135655413 |
| oct | 11050226260501520 |
| 9 | 1486001256760020 |
| 10 | 319428306830160 |
| 11 | 928638697aa480 |
| 12 | 2b9ab41979a500 |
| 13 | 10930c633c89a8 |
| 14 | 58c45ac02db7a |
| 15 | 26de0e39eae90 |
| hex | 12284b2c28350 |
319428306830160 has 480 divisors, whose sum is σ = 1238777337283200. Its totient is φ = 73028150415360.
The previous prime is 319428306830159. The next prime is 319428306830167. The reversal of 319428306830160 is 61038603824913.
319428306830160 is a `hidden beast` number, since 3 + 1 + 9 + 4 + 28 + 306 + 8 + 301 + 6 + 0 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 319428306830097 and 319428306830106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (319428306830167) 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 95 ways as a sum of consecutive naturals, for example, 6295315 + ... + 26047794.
It is an arithmetic number, because the mean of its divisors is an integer number (2580786119340).
Almost surely, 2319428306830160 is an apocalyptic number.
319428306830160 is a gapful number since it is divisible by the number (30) 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 319428306830160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619388668641600).
319428306830160 is an abundant number, since it is smaller than the sum of its proper divisors (919349030453040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
319428306830160 is a wasteful number, since it uses less digits than its factorization.
319428306830160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32343211 (or 32343202 counting only the distinct ones).
The product of its (nonzero) digits is 4478976, while the sum is 54.
The spelling of 319428306830160 in words is "three hundred nineteen trillion, four hundred twenty-eight billion, three hundred six million, eight hundred thirty thousand, one hundred sixty".
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