85408128
85,408,128 is an even composite number composed of four prime numbers multiplied together.
85408128 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 85408128:
27 × 33 × 13 × 1901
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 1901)See below for interesting mathematical facts about the number 85408128 from the Numbermatics database.
Names of 85408128
- Cardinal: 85408128 can be written as Eighty-five million, four hundred eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 8.5408128 × 107
Factors of 85408128
Divisors of 85408128
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 1901 2496 2808 3456 3744 3802 4992 5616 5703 7488 7604 11232 11406 14976 15208 17109 22464 22812 24713 30416 34218 44928 45624 49426 51327 60832 68436 74139 91248 98852 102654 121664 136872 148278 182496 197704 205308 222417 243328 273744 296556 364992 395408 410616 444834 547488 593112 667251 729984 790816 821232 889668 1094976 1186224 1334502 1581632 1642464 1779336 2189952 2372448 2669004 3163264 3284928 3558672 4744896 5338008 6569856 7117344 9489792 10676016 14234688 21352032 28469376 42704064 85408128
- Sum of all divisors σ(n): 271605600
- Sum of proper divisors (its aliquot sum) s(n): 186197472
- 85408128 is an abundant number, because the sum of its proper divisors (186197472) is greater than itself. Its abundance is 100789344
Bases of 85408128
- Binary: 1010001011100111001100000002
- Hexadecimal: 0x5173980
- Base-36: 1EULC0
Squares and roots of 85408128
- 85408128 squared (854081282) is 7294548328464384
- 85408128 cubed (854081283) is 623013717339672152113152
-
The
square root of 85408128 is 9241.6518004087 -
The
cube root of 85408128 is 440.3855573671
Scales and comparisons
How big is 85408128?- 85,408,128 seconds is equal to 2 years, 37 weeks, 1 day, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 85,408,128 would take you about four years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 85408128 cubic inches would be around 36.7 feet tall.
Recreational maths with 85408128
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