82971701986939200
82,971,701,986,939,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 82971701986939200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 252 divisors.
82971701986939200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 82971701986939200:
26 × 32 × 52 × 797 × 7229515369
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 797 × 7229515369)See below for interesting mathematical facts about the number 82971701986939200 from the Numbermatics database.
Names of 82971701986939200
- Cardinal: 82971701986939200 can be written as Eighty-two quadrillion, nine hundred seventy-one trillion, seven hundred one billion, nine hundred eighty-six million, nine hundred thirty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 8.29717019869392 × 1016
Factors of 82971701986939200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 7229516176
Divisors of 82971701986939200
- Number of divisors d(n): 252
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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 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 797 800 900 960 1200 1440 1594 1600 1800 2391 2400 2880 3188 3600 3985 4782 4800 6376 7173 7200 7970 9564 11955 12752 14346 14400 15940 19128 19925 23910 25504 28692 31880 35865 38256 39850 47820 51008 57384 59775 63760 71730 76512 79700 95640 114768 119550 127520 143460 153024 159400 179325 191280 229536 239100 255040 286920 318800 358650 382560 459072 478200 573840 637600 717300 765120 956400 1147680 1275200 1434600 1912800 2295360 2869200 3825600 5738400 11476800 7229515369 14459030738 21688546107 28918061476 36147576845 43377092214 57836122952 65065638321 72295153690 86754184428 108442730535 115672245904 130131276642 144590307380 173508368856 180737884225 216885461070 231344491808 260262553284 289180614760 325328191605 347016737712 361475768450 433770922140 462688983616 520525106568 542213652675 578361229520 650656383210 694033475424 722951536900 867541844280 1041050213136 1084427305350 1156722459040 1301312766420 1388066950848 1445903073800 1626640958025 1735083688560 2082100426272 2168854610700 2313444918080 2602625532840 2891806147600 3253281916050 3470167377120 4164200852544 4337709221400 5205251065680 5761923749093 5783612295200 6506563832100 6940334754240 8675418442800 10410502131360 11523847498186 11567224590400 13013127664200 17285771247279 17350836885600 20821004262720 23047694996372 26026255328400 28809618745465 34571542494558 34701673771200 46095389992744 51857313741837 52052510656800 57619237490930 69143084989116 86428856236395 92190779985488 103714627483674 104105021313600 115238474981860 138286169978232 144048093727325 172857712472790 184381559970976 207429254967348 230476949963720 259286568709185 276572339956464 288096187454650 345715424945580 368763119941952 414858509934696 432144281181975 460953899927440 518573137418370 553144679912928 576192374909300 691430849891160 829717019869392 864288562363950 921907799854880 1037146274836740 1106289359825856 1152384749818600 1296432843545925 1382861699782320 1659434039738784 1728577124727900 1843815599709760 2074292549673480 2304769499637200 2592865687091850 2765723399564640 3318868079477568 3457154249455800 4148585099346960 4609538999274400 5185731374183700 5531446799129280 6914308498911600 8297170198693920 9219077998548800 10371462748367400 13828616997823200 16594340397387840 20742925496734800 27657233995646400 41485850993469600 82971701986939200
- Sum of all divisors σ(n): 295271033269272060
- Sum of proper divisors (its aliquot sum) s(n): 212299331282332860
- 82971701986939200 is an abundant number, because the sum of its proper divisors (212299331282332860) is greater than itself. Its abundance is 129327629295393660
Bases of 82971701986939200
- Binary: 1001001101100011001010010110001110101011101010001010000002
- Hexadecimal: 0x126C652C7575140
- Base-36: MOZ0HOP5U80
Squares and roots of 82971701986939200
- 82971701986939200 squared (829717019869392002) is 6884303330609450389207384496640000
- 82971701986939200 cubed (829717019869392003) is 571202364335020287136675213011274273846284288000000
-
The
square root of 82971701986939200 is 288048089.7123589675 -
The
cube root of 82971701986939200 is 436157.4880435573
Scales and comparisons
How big is 82971701986939200?- 82,971,701,986,939,200 seconds is equal to 2,638,243,474 years, 44 weeks, 4 days, 20 hours.
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To count from 1 to 82,971,701,986,939,200 would take you about seven billion, nine hundred fourteen million, seven hundred thirty thousand, four hundred twenty-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 82971701986939200 cubic inches would be around 36346.5 feet tall.
Recreational maths with 82971701986939200
- 82971701986939200 backwards is 00293968910717928
- The number of decimal digits it has is: 17
- The sum of 82971701986939200's digits is 81
- More coming soon!
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