428766164496127200
428,766,164,496,127,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 428766164496127200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
428766164496127200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 428766164496127200:
25 × 3 × 52 × 53 × 3370803180001
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 53 × 3370803180001)See below for interesting mathematical facts about the number 428766164496127200 from the Numbermatics database.
Names of 428766164496127200
- Cardinal: 428766164496127200 can be written as Four hundred twenty-eight quadrillion, seven hundred sixty-six trillion, one hundred sixty-four billion, four hundred ninety-six million, one hundred twenty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 4.287661644961272 × 1017
Factors of 428766164496127200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 3370803180064
Divisors of 428766164496127200
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 53 60 75 80 96 100 106 120 150 159 160 200 212 240 265 300 318 400 424 480 530 600 636 795 800 848 1060 1200 1272 1325 1590 1696 2120 2400 2544 2650 3180 3975 4240 5088 5300 6360 7950 8480 10600 12720 15900 21200 25440 31800 42400 63600 127200 3370803180001 6741606360002 10112409540003 13483212720004 16854015900005 20224819080006 26966425440008 33708031800010 40449638160012 50562047700015 53932850880016 67416063600020 80899276320024 84270079500025 101124095400030 107865701760032 134832127200040 161798552640048 168540159000050 178652568540053 202248190800060 252810238500075 269664254400080 323597105280096 337080318000100 357305137080106 404496381600120 505620477000150 535957705620159 539328508800160 674160636000200 714610274160212 808992763200240 893262842700265 1011240954000300 1071915411240318 1348321272000400 1429220548320424 1617985526400480 1786525685400530 2022481908000600 2143830822480636 2679788528100795 2696642544000800 2858441096640848 3573051370801060 4044963816001200 4287661644961272 4466314213501325 5359577056201590 5716882193281696 7146102741602120 8089927632002400 8575323289922544 8932628427002650 10719154112403180 13398942640503975 14292205483204240 17150646579845088 17865256854005300 21438308224806360 26797885281007950 28584410966408480 35730513708010600 42876616449612720 53595770562015900 71461027416021200 85753232899225440 107191541124031800 142922054832042400 214383082248063600 428766164496127200
- Sum of all divisors σ(n): 1421966579877483696
- Sum of proper divisors (its aliquot sum) s(n): 993200415381356496
- 428766164496127200 is an abundant number, because the sum of its proper divisors (993200415381356496) is greater than itself. Its abundance is 564434250885229296
Bases of 428766164496127200
- Binary: 101111100110100100010001110000011100111111110010100111000002
- Hexadecimal: 0x5F3488E0E7F94E0
- Base-36: 399SX4QEOR1C
Squares and roots of 428766164496127200
- 428766164496127200 squared (4287661644961272002) is 183840423816720009046263798579840000
- 428766164496127200 cubed (4287661644961272003) is 78824553399237512055814438721244173384539995648000000
-
The
square root of 428766164496127200 is 654802385.8357017319 -
The
cube root of 428766164496127200 is 754061.6176781135
Scales and comparisons
How big is 428766164496127200?- 428,766,164,496,127,200 seconds is equal to 13,633,437,770 years, 7 weeks, 5 days, 19 hours, 20 minutes.
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To count from 1 to 428,766,164,496,127,200 would take you about forty billion, nine hundred million, three hundred thirteen thousand, three hundred ten 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 428766164496127200 cubic inches would be around 62838.5 feet tall.
Recreational maths with 428766164496127200
- 428766164496127200 backwards is 002721694461667824
- 428766164496127200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 428766164496127200's digits is 75
- More coming soon!
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