428688640
428,688,640 is an even composite number composed of four prime numbers multiplied together.
What does the number 428688640 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.
428688640 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 428688640:
28 × 5 × 19 × 17627
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 19 × 17627)See below for interesting mathematical facts about the number 428688640 from the Numbermatics database.
Names of 428688640
- Cardinal: 428688640 can be written as Four hundred twenty-eight million, six hundred eighty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.2868864 × 108
Factors of 428688640
Divisors of 428688640
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 2432 3040 4864 6080 12160 17627 24320 35254 70508 88135 141016 176270 282032 334913 352540 564064 669826 705080 1128128 1339652 1410160 1674565 2256256 2679304 2820320 3349130 4512512 5358608 5640640 6698260 10717216 11281280 13396520 21434432 22562560 26793040 42868864 53586080 85737728 107172160 214344320 428688640
- Sum of all divisors σ(n): 1080948960
- Sum of proper divisors (its aliquot sum) s(n): 652260320
- 428688640 is an abundant number, because the sum of its proper divisors (652260320) is greater than itself. Its abundance is 223571680
Bases of 428688640
- Binary: 110011000110101000101000000002
- Hexadecimal: 0x198D4500
- Base-36: 738A9S
Squares and roots of 428688640
- 428688640 squared (4286886402) is 183773950065049600
- 428688640 cubed (4286886403) is 78781804720814024556544000
-
The
square root of 428688640 is 20704.7975116879 -
The
cube root of 428688640 is 754.0161680637
Scales and comparisons
How big is 428688640?- 428,688,640 seconds is equal to 13 years, 32 weeks, 5 days, 16 hours, 10 minutes, 40 seconds.
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To count from 1 to 428,688,640 would take you about twenty 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 428688640 cubic inches would be around 62.8 feet tall.
Recreational maths with 428688640
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