33628094916940800
33,628,094,916,940,800 is an even composite number composed of four prime numbers multiplied together.
What does the number 33628094916940800 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 198 divisors.
33628094916940800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred ninety-eight divisors.
Prime factorization of 33628094916940800:
210 × 32 × 52 × 145955273077
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 145955273077)See below for interesting mathematical facts about the number 33628094916940800 from the Numbermatics database.
Names of 33628094916940800
- Cardinal: 33628094916940800 can be written as Thirty-three quadrillion, six hundred twenty-eight trillion, ninety-four billion, nine hundred sixteen million, nine hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 3.36280949169408 × 1016
Factors of 33628094916940800
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 145955273087
Divisors of 33628094916940800
- Number of divisors d(n): 198
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 256 288 300 320 360 384 400 450 480 512 576 600 640 720 768 800 900 960 1024 1152 1200 1280 1440 1536 1600 1800 1920 2304 2400 2560 2880 3072 3200 3600 3840 4608 4800 5120 5760 6400 7200 7680 9216 9600 11520 12800 14400 15360 19200 23040 25600 28800 38400 46080 57600 76800 115200 230400 145955273077 291910546154 437865819231 583821092308 729776365385 875731638462 1167642184616 1313597457693 1459552730770 1751463276924 2189329096155 2335284369232 2627194915386 2919105461540 3502926553848 3648881826925 4378658192310 4670568738464 5254389830772 5838210923080 6567987288465 7005853107696 7297763653850 8757316384620 9341137476928 10508779661544 10946645480775 11676421846160 13135974576930 14011706215392 14595527307700 17514632769240 18682274953856 21017559323088 21893290961550 23352843692320 26271949153860 28023412430784 29191054615400 32839936442325 35029265538480 37364549907712 42035118646176 43786581923100 46705687384640 52543898307720 56046824861568 58382109230800 65679872884650 70058531076960 74729099815424 84070237292352 87573163846200 93411374769280 105087796615440 112093649723136 116764218461600 131359745769300 140117062153920 149458199630848 168140474584704 175146327692400 186822749538560 210175593230880 224187299446272 233528436923200 262719491538600 280234124307840 336280949169408 350292655384800 373645499077120 420351186461760 448374598892544 467056873846400 525438983077200 560468248615680 672561898338816 700585310769600 747290998154240 840702372923520 934113747692800 1050877966154400 1120936497231360 1345123796677632 1401170621539200 1681404745847040 1868227495385600 2101755932308800 2241872994462720 2802341243078400 3362809491694080 3736454990771200 4203511864617600 5604682486156800 6725618983388160 8407023729235200 11209364972313600 16814047458470400 33628094916940800
- Sum of all divisors σ(n): 120404488928238398
- Sum of proper divisors (its aliquot sum) s(n): 86776394011297598
- 33628094916940800 is an abundant number, because the sum of its proper divisors (86776394011297598) is greater than itself. Its abundance is 53148299094356798
Bases of 33628094916940800
- Binary: 11101110111100010010010111110111111111101010100000000002
- Hexadecimal: 0x777892FBFF5400
- Base-36: 9745XJ9V5S0
Squares and roots of 33628094916940800
- 33628094916940800 squared (336280949169408002) is 1130848767742779670450830704640000
- 33628094916940800 cubed (336280949169408003) is 38028289698359736352288142560641223137165312000000
-
The
square root of 33628094916940800 is 183379646.9539103459 -
The
cube root of 33628094916940800 is 322775.6429262445
Scales and comparisons
How big is 33628094916940800?- 33,628,094,916,940,800 seconds is equal to 1,069,269,399 years, 43 weeks, 1 day, 16 hours.
-
To count from 1 to 33,628,094,916,940,800 would take you about three billion, two hundred seven million, eight hundred eight thousand, one hundred ninety-nine 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 33628094916940800 cubic inches would be around 26898 feet tall.
Recreational maths with 33628094916940800
- 33628094916940800 backwards is 00804961949082633
- 33628094916940800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 33628094916940800's digits is 72
- More coming soon!
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