| Base | Representation |
|---|---|
| bin | 11101001101000111001001… |
| … | …110011111000011000000000 |
| 3 | 121211210011101212211000222200 |
| 4 | 131031013021303320120000 |
| 5 | 113313413043444320202 |
| 6 | 1133102311310433200 |
| 7 | 36024541354560000 |
| oct | 3515071163703000 |
| 9 | 554704355730880 |
| 10 | 128444382807552 |
| 11 | 37a20a58613a89 |
| 12 | 124a546bb02800 |
| 13 | 568933a735166 |
| 14 | 23a0a541a0000 |
| 15 | ecb1ee63ae1c |
| hex | 74d1c9cf8600 |
128444382807552 has 1500 divisors, whose sum is σ = 462790514446260. Its totient is φ = 34291179159552.
The previous prime is 128444382807511. The next prime is 128444382807553. The reversal of 128444382807552 is 255708283444821.
128444382807552 is a `hidden beast` number, since 1 + 2 + 8 + 4 + 4 + 438 + 2 + 80 + 75 + 52 = 666.
It is a super-3 number, since 3×1284443828075523 (a number of 43 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a self number, because there is not a number n which added to its sum of digits gives 128444382807552.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (128444382807553) by changing a digit.
It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 924060307899 + ... + 924060308037.
Almost surely, 2128444382807552 is an apocalyptic number.
128444382807552 is a gapful number since it is divisible by the number (12) 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 128444382807552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231395257223130).
128444382807552 is an abundant number, since it is smaller than the sum of its proper divisors (334346131638708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
128444382807552 is an frugal number, since it uses more digits than its factorization.
128444382807552 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 259 (or 168 counting only the distinct ones).
The product of its (nonzero) digits is 137625600, while the sum is 63.
The spelling of 128444382807552 in words is "one hundred twenty-eight trillion, four hundred forty-four billion, three hundred eighty-two million, eight hundred seven thousand, five hundred fifty-two".
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