830225807470080
830,225,807,470,080 is an even composite number composed of six prime numbers multiplied together.
What does the number 830225807470080 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
830225807470080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 830225807470080:
29 × 32 × 5 × 72 × 67 × 33132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 67 × 3313 × 3313)See below for interesting mathematical facts about the number 830225807470080 from the Numbermatics database.
Names of 830225807470080
- Cardinal: 830225807470080 can be written as Eight hundred thirty trillion, two hundred twenty-five billion, eight hundred seven million, four hundred seventy thousand and eighty.
Scientific notation
- Scientific notation: 8.3022580747008 × 1014
Factors of 830225807470080
Divisors of 830225807470080
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 67 70 72 80 84 90 96 98 105 112 120 126 128 134 140 144 147 160 168 180 192 196 201 210 224 240 245 252 256 268 280 288 294 315 320 335 336 360 384 392 402 420 441 448 469 480 490 504 512 536 560 576 588 603 630 640 670 672 720 735 768 784 804 840 882 896 938 960 980 1005 1008 1072 1120 1152 1176 1206 1260 1280 1340 1344 1407 1440 1470 1536 1568 1608 1680 1764 1792 1876 1920 1960 2010 2016 2144 2205 2240 2304 2345 2352 2412 2520 2560 2680 2688 2814 2880 2940 3015 3136 3216 3283 3313 3360 3528 3584 3752 3840 3920 4020 4032 4221 4288 4410 4480 4608 4690 4704 4824 5040 5360 5376 5628 5760 5880 6030 6272 6432 6566 6626 6720 7035 7056 7504 7680 7840 8040 8064 8442 8576 8820 8960 9380 9408 9648 9849 9939 10080 10720 10752 11256 11520 11760 12060 12544 12864 13132 13252 13440 14070 14112 15008 15680 16080 16128 16415 16565 16884 17152 17640 17920 18760 18816 19296 19698 19878 20160 21105 21440 22512 23040 23191 23520 24120 25088 25728 26264 26504 26880 28140 28224 29547 29817 30016 31360 32160 32256 32830 33130 33768 34304 35280 37520 37632 38592 39396 39756 40320 42210 42880 45024 46382 47040 48240 49245 49695 51456 52528 53008 53760 56280 56448 59094 59634 60032 62720 64320 65660 66260 67536 69573 70560 75040 75264 77184 78792 79512 80640 84420 85760 90048 92764 94080 96480 98490 99390 102912 105056 106016 112560 112896 115955 118188 119268 120064 125440 128640 131320 132520 135072 139146 141120 147735 149085 150080 154368 157584 159024 161280 162337 168840 171520 180096 185528 188160 192960 196980 198780 208719 210112 212032 221971 225120 225792 231910 236376 238536 240128 257280 262640 265040 270144 278292 282240 295470 298170 300160 308736 315168 318048 324674 337680 347865 360192 371056 376320 385920 393960 397560 417438 420224 424064 443942 450240 463820 472752 477072 487011 514560 525280 530080 540288 556584 564480 590940 596340 600320 630336 636096 649348 665913 675360 695730 720384 742112 771840 787920 795120 811685 834876 840448 848128 887884 900480 927640 945504 954144 974022 1043595 1050560 1060160 1080576 1109855 1113168 1128960 1181880 1192680 1200640 1260672 1272192 1298696 1331826 1350720 1391460 1461033 1484224 1543680 1553797 1575840 1590240 1623370 1669752 1680896 1696256 1775768 1800960 1855280 1891008 1908288 1948044 1997739 2087190 2101120 2120320 2161152 2219710 2226336 2363760 2385360 2435055 2521344 2544384 2597392 2663652 2701440 2782920 2922066 2968448 3107594 3151680 3180480 3246740 3329565 3339504 3551536 3601920 3710560 3782016 3816576 3896088 3995478 4174380 4202240 4240640 4439420 4452672 4661391 4727520 4770720 4870110 5042688 5088768 5194784 5327304 5402880 5565840 5844132 5936896 6215188 6303360 6360960 6493480 6659130 6679008 7103072 7305165 7421120 7564032 7633152 7768985 7792176 7990956 8348760 8404480 8481280 8878840 8905344 9322782 9455040 9541440 9740220 9988695 10389568 10654608 10805760 10876579 10975969 11131680 11688264 11873792 12430376 12606720 12721920 12986960 13318260 13358016 13984173 14206144 14610330 14842240 15128064 15266304 15537970 15584352 15981912 16697520 17757680 17810688 18645564 18910080 19082880 19480440 19977390 20779136 21309216 21753158 21951938 22263360 23306955 23376528 24860752 25213440 25443840 25973920 26636520 26716032 27968346 28412288 29220660 29684480 31075940 31168704 31963824 32629737 32927907 33395040 35515360 35621376 37291128 37820160 38165760 38960880 39954780 41558272 42618432 43506316 43903876 44526720 46613910 46753056 49721504 51947840 53273040 53432064 54382895 54879845 55936692 56824576 58441320 59368960 62151880 62337408 63927648 65259474 65855814 66790080 69920865 71030720 74582256 75640320 76331520 76831783 77921760 79909560 83116544 85236864 87012632 87807752 89053440 93227820 93506112 97889211 98783721 99443008 103895680 106546080 106864128 108765790 109759690 111873384 113649152 116882640 124303760 124674816 127855296 130518948 131711628 133580160 139841730 142061440 149164512 153663566 155843520 159819120 163148685 164639535 170473728 174025264 175615504 178106880 186455640 187012224 195778422 197567442 198886016 207791360 213092160 217531580 219519380 223746768 230495349 233765280 248607520 249349632 255710592 261037896 263423256 267160320 279683460 284122880 298329024 307327132 311687040 319638240 326297370 329279070 340947456 348050528 351231008 372911280 374024448 384158915 391556844 395134884 397772032 415582720 426184320 435063160 439038760 447493536 460990698 467530560 489446055 493918605 497215040 511421184 522075792 526846512 534320640 537822481 559366920 568245760 596658048 614654264 623374080 639276480 652594740 658558140 691486047 696101056 702462016 735389923 745822560 748048896 768317830 783113688 790269768 795544064 852368640 870126320 878077520 894987072 921981396 935061120 978892110 987837210 994430080 1022842368 1044151584 1053693024 1075644962 1118733840 1152476745 1193316096 1229308528 1246748160 1278552960 1305189480 1317116280 1382972094 1392202112 1404924032 1470779846 1491645120 1536635660 1566227376 1580539536 1613467443 1704737280 1740252640 1756155040 1789974144 1843962792 1870122240 1957784220 1975674420 1988860160 2088303168 2107386048 2151289924 2206169769 2237467680 2304953490 2386632192 2458617056 2557105920 2610378960 2634232560 2689112405 2765944188 2784404224 2809848064 2941559692 2983290240 3073271320 3132454752 3161079072 3226934886 3457430235 3480505280 3512310080 3579948288 3676949615 3687925584 3740244480 3915568440 3951348840 3977720320 4176606336 4214772096 4302579848 4412339538 4474935360 4609906980 4840402329 4917234112 5114211840 5147729461 5220757920 5268465120 5378224810 5531888376 5568808448 5619696128 5883119384 5966580480 6146542640 6264909504 6322158144 6453869772 6618509307 6914860470 6961010560 7024620160 7159896576 7353899230 7375851168 7831136880 7902697680 8067337215 8353212672 8429544192 8605159696 8824679076 8949870720 9219813960 9680804658 9834468224 10295458922 10441515840 10536930240 10756449620 11030848845 11063776752 11766238768 11933160960 12293085280 12529819008 12644316288 12907739544 13237018614 13829720940 13922021120 14049240320 14707798460 14751702336 15443188383 15662273760 15805395360 16134674430 16706425344 16859088384 17210319392 17649358152 17899741440 18439627920 19361609316 19668936448 20590917844 20883031680 21073860480 21512899240 22061697690 22127553504 23532477536 24202011645 24586170560 25059638016 25288632576 25738647305 25815479088 26474037228 27659441880 27844042240 28098480640 29415596920 29503404672 30886376766 31324547520 31610790720 32269348860 33092546535 34420638784 35298716304 35799482880 36034106227 36879255840 38723218632 39337872896 41181835688 41766063360 42147720960 43025798480 44123395380 44255107008 46329565149 47064955072 48404023290 49172341120 50119276032 50577265152 51477294610 51630958176 52948074456 55318883760 58831193840 59006809344 61772753532 62649095040 63221581440 64538697720 66185093070 68841277568 70597432608 72068212454 73758511680 77215941915 77446437264 82363671376 83532126720 84295441920 86051596960 88246790760 88510214016 92659130298 94129910144 96808046580 98344682240 102954589220 103261916352 105896148912 108102318681 110637767520 117662387680 118013618688 123545507064 125298190080 126443162880 129077395440 132370186140 137682555136 141194865216 144136424908 147517023360 154431883830 154892874528 164727342752 172103193920 176493581520 177020428032 180170531135 185318260596 188259820288 193616093160 196689364480 205909178440 206523832704 211792297824 216204637362 221275535040 231647825745 235324775360 247091014128 250596380160 252886325760 258154790880 264740372280 275365110272 282389730432 288272849816 295034046720 308863767660 309785749056 324306956043 329454685504 344206387840 352987163040 354040856064 360341062270 370636521192 376519640576 387232186320 411818356880 413047665408 423584595648 432409274724 442551070080 463295651490 470649550720 494182028256 516309581760 529480744560 540511593405 564779460864 576545699632 590068093440 617727535320 619571498112 648613912086 658909371008 688412775680 705974326080 720682124540 741273042384 774464372640 823636713760 826095330816 847169191296 864818549448 885102140160 926591302980 941299101440 988364056512 1032619163520 1058961489120 1081023186810 1129558921728 1153091399264 1235455070640 1239142996224 1297227824172 1317818742016 1376825551360 1411948652160 1441364249080 1482546084768 1548928745280 1621534780215 1647273427520 1694338382592 1729637098896 1770204280320 1853182605960 1882598202880 1976728113024 2065238327040 2117922978240 2162046373620 2306182798528 2470910141280 2478285992448 2594455648344 2635637484032 2823897304320 2882728498160 2965092169536 3097857490560 3243069560430 3294546855040 3388676765184 3459274197792 3706365211920 3953456226048 4130476654080 4235845956480 4324092747240 4612365597056 4941820282560 5188911296688 5647794608640 5765456996320 5930184339072 6195714981120 6486139120860 6589093710080 6918548395584 7412730423840 7906912452096 8471691912960 8648185494480 9224731194112 9883640565120 10377822593376 11530913992640 11860368678144 12391429962240 12972278241720 13178187420160 13837096791168 14825460847680 16943383825920 17296370988960 18449462388224 19767281130240 20755645186752 23061827985280 23720737356288 25944556483440 27674193582336 29650921695360 34592741977920 39534562260480 41511290373504 46123655970560 51889112966880 55348387164672 59301843390720 69185483955840 83022580747008 92247311941120 103778225933760 118603686781440 138370967911680 166045161494016 207556451867520 276741935823360 415112903735040 830225807470080
- Sum of all divisors σ(n): 3395689598252952
- Sum of proper divisors (its aliquot sum) s(n): 2565463790782872
- 830225807470080 is an abundant number, because the sum of its proper divisors (2565463790782872) is greater than itself. Its abundance is 1735237983312792
Bases of 830225807470080
- Binary: 101111001100010110000000100101011001101110000000002
- Hexadecimal: 0x2F31602566E00
- Base-36: 86AGGXZ0G0
Squares and roots of 830225807470080
- 830225807470080 squared (8302258074700802) is 689274891389346343930095206400
- 830225807470080 cubed (8302258074700803) is 572253803272571760536166773674930719424512000
-
The
square root of 830225807470080 is 28813639.2611221535 -
The
cube root of 830225807470080 is 93986.4854371171
Scales and comparisons
How big is 830225807470080?- 830,225,807,470,080 seconds is equal to 26,398,612 years, 32 weeks, 1 day, 20 hours, 48 minutes.
-
To count from 1 to 830,225,807,470,080 would take you about sixty-five million, nine hundred ninety-six thousand, five hundred thirty-one 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 830225807470080 cubic inches would be around 7832.2 feet tall.
Recreational maths with 830225807470080
- 830225807470080 backwards is 080074708522038
- The number of decimal digits it has is: 15
- The sum of 830225807470080's digits is 54
- More coming soon!
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The information we have on file for 830225807470080 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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