| Base | Representation |
|---|---|
| bin | 100110010001010111010100… |
| … | …111010011001001000000000 |
| 3 | 211001222010212200101001222000 |
| 4 | 212101113110322121020000 |
| 5 | 134030214401113040000 |
| 6 | 1353552411344144000 |
| 7 | 50311435566612000 |
| oct | 4621272472311000 |
| 9 | 731863780331860 |
| 10 | 168319045440000 |
| 11 | 496a478509a774 |
| 12 | 16a65437908000 |
| 13 | 72bc5581045c0 |
| 14 | 2d7c984532000 |
| 15 | 146d570a0a000 |
| hex | 9915d4e99200 |
168319045440000 has 6400 divisors, whose sum is σ = 831126054528000. Its totient is φ = 33294385152000.
The previous prime is 168319045439969. The next prime is 168319045440001. The reversal of 168319045440000 is 44540913861.
168319045440000 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 190 + 4 + 54 + 400 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (6400).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (168319045440001) 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 639 ways as a sum of consecutive naturals, for example, 654937919872 + ... + 654937920128.
It is an arithmetic number, because the mean of its divisors is an integer number (129863446020).
Almost surely, 2168319045440000 is an apocalyptic number.
168319045440000 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 168319045440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415563027264000).
168319045440000 is an abundant number, since it is smaller than the sum of its proper divisors (662807009088000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
168319045440000 is an equidigital number, since it uses as much as digits as its factorization.
168319045440000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 355 (or 304 counting only the distinct ones).
The product of its (nonzero) digits is 414720, while the sum is 45.
The spelling of 168319045440000 in words is "one hundred sixty-eight trillion, three hundred nineteen billion, forty-five million, four hundred forty thousand".
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