820927314582831456

Names of 820927314582831456

• Cardinal: 820927314582831456 can be written as Eight hundred twenty quadrillion, nine hundred twenty-seven trillion, three hundred fourteen billion, five hundred eighty-two million, eight hundred thirty-one thousand, four hundred fifty-six.

Scientific notation

• Scientific notation: 8.20927314582831456 × 10¹⁷

Factors of 820927314582831456

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 92417

Divisors of 820927314582831456

• Number of divisors d(n): 972
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 48 49 52 56 66 77 78 84 88 91 96 98 104 112 121 132 143 147 154 156 168 169 176 182 196 208 224 231 242 264 273 286 294 308 312 336 338 352 363 364 392 416 429 462 484 507 528 539 546 572 588 616 624 637 672 676 726 728 784 847 858 924 968 1001 1014 1056 1078 1092 1144 1176 1183 1232 1248 1274 1352 1452 1456 1568 1573 1617 1694 1716 1848 1859 1911 1936 2002 2028 2156 2184 2288 2352 2366 2464 2541 2548 2704 2904 2912 3003 3146 3234 3388 3432 3549 3696 3718 3822 3872 4004 4056 4312 4368 4576 4704 4719 4732 5082 5096 5408 5577 5808 5929 6006 6292 6468 6776 6864 7007 7098 7392 7436 7644 8008 8112 8281 8624 8736 9438 9464 10164 10192 11011 11154 11616 11858 12012 12584 12936 13013 13552 13728 14014 14196 14872 15288 16016 16224 16562 17248 17787 18876 18928 20328 20384 20449 21021 22022 22308 23716 24024 24843 25168 25872 26026 27104 28028 28392 29744 30576 32032 33033 33124 35574 37752 37856 39039 40656 40898 42042 44044 44616 47432 48048 49686 50336 51744 52052 56056 56784 59488 61152 61347 66066 66248 71148 75504 77077 78078 81312 81796 84084 88088 89232 91091 92381 94864 96096 99372 104104 112112 113568 122694 132132 132496 142296 143143 151008 154154 156156 163592 168168 176176 178464 182182 184762 189728 198744 208208 224224 231231 245388 264264 264992 273273 277143 284592 286286 308308 312312 327184 336336 352352 364364 369524 397488 416416 429429 462462 490776 528528 546546 554286 569184 572572 616616 624624 646667 654368 672672 728728 739048 794976 858858 924924 981552 1002001 1016191 1057056 1093092 1108572 1145144 1200953 1233232 1249248 1293334 1457456 1478096 1717716 1849848 1940001 1963104 2004002 2032382 2186184 2217144 2290288 2401906 2466464 2586668 2914912 2956192 3006003 3048573 3435432 3602859 3699696 3880002 4008004 4064764 4372368 4434288 4526669 4580576 4803812 5173336 6012006 6097146 6870864 7113337 7205718 7399392 7760004 8016008 8129528 8406671 8744736 8868576 9053338 9607624 10346672 11178101 12024012 12194292 13210483 13580007 13741728 14226674 14411436 15520008 15612389 16032016 16259056 16813342 18106676 19215248 20693344 21340011 22356202 24048024 24388584 25220013 26420966 27160014 28453348 28822872 31040016 31224778 32064032 32518112 33534303 33626684 36213352 38430496 39631449 42680022 44712404 46837167 48096048 48777168 49793359 50440026 52841932 54320028 56906696 57645744 58846697 62080032 62449556 67068606 67253368 72426704 78246707 79262898 85360044 89424808 92473381 93674334 96192096 97554336 99586718 100880052 105683864 108640056 109286723 113813392 115291488 117693394 124899112 134137212 134506736 144853408 145315313 149380077 156493414 158525796 170720088 171736279 176540091 178849616 184946762 187348668 199173436 201760104 211367728 217280112 218573446 227626784 234740121 235386788 249798224 268274424 269013472 277420143 290630626 298760154 312986828 317051592 327860169 341440176 343472558 353080182 357699232 369893524 374697336 398346872 403520208 422735456 434560224 435945939 437146892 469480242 470773576 499596448 515208837 536548848 547726949 554840286 581261252 597520308 625973656 634103184 647313667 655720338 682880352 686945116 706160364 739787048 749394672 765007061 796693744 807040416 871891878 874293784 938960484 941547152 1017207191 1030417674 1073097696 1095453898 1109680572 1162522504 1195040616 1202153953 1251947312 1268206368 1294627334 1311440676 1373890232 1412320728 1479574096 1498789344 1530014122 1593387488 1643180847 1743783756 1748587568 1877920968 1883094304 1889099069 1941941001 2034414382 2060835348 2190907796 2219361144 2295021183 2325045008 2390081232 2404307906 2503894624 2589254668 2622881352 2747780464 2824641456 2959148192 3051621573 3060028244 3286361694 3487567512 3497175136 3606461859 3755841936 3778198138 3883882002 4068828764 4121670696 4381815592 4438722288 4590042366 4650090016 4780162464 4808615812 5178509336 5245762704 5495560928 5649282912 5667297207 6103243146 6120056488 6572723388 6975135024 7120450337 7212923718 7511683872 7556396276 7767764004 8137657528 8243341392 8415077671 8534249161 8763631184 8877444576 9180084732 9617231624 10357018672 10491525408 11334594414 12206486292 12240112976 13145446776 13223693483 13950270048 14240900674 14425847436 15112792552 15535528008 16275315056 16486682784 16830155342 17068498322 17527262368 18360169464 19234463248 20714037344 21361351011 22669188828 24412972584 24480225952 25245233013 25602747483 26290893552 26447386966 28481801348 28851694872 30225585104 31071056016 32550630112 33660310684 34136996644 36720338928 38468926496 39671080449 42722702022 45338377656 48825945168 50490466026 51205494966 52581787104 52894773932 56963602696 57703389744 59739744127 60451170208 62142112032 67320621368 68273993288 73440677856 79342160898 85445404044 90676755312 92565854381 93876740771 97651890336 100980932052 102410989932 105789547864 110945239093 113927205392 115406779488 119479488254 134641242736 136547986576 158684321796 170890808088 179219232381 181353510624 185131708762 187753481542 201961864104 204821979864 211579095728 221890478186 227854410784 238958976508 269282485472 273095973152 277697563143 281630222313 317368643592 332835717279 341781616176 358438464762 370263417524 375506963084 403923728208 409643959728 418178208889 423158191456 443780956372 477917953016 555395126286 563260444626 634737287184 657137185397 665671434558 683563232352 716876929524 740526835048 751013926168 776616673651 807847456416 819287919456 836356417778 887561912744 955835906032 1032644148481 1110790252572 1126520889252 1220397630023 1254534626667 1269474574368 1314274370794 1331342869116 1433753859048 1442288108209 1481053670096 1502027852336 1553233347302 1672712835556 1775123825488 1911671812064 1971411556191 2065288296962 2221580505144 2253041778504 2329850020953 2440795260046 2509069253334 2628548741588 2662685738232 2867507718096 2884576216418 2962107340192 3004055704672 3097932445443 3106466694604 3345425671112 3550247650976 3661192890069 3942823112382 4130576593924 4326864324627 4443161010288 4506083557008 4599960297779 4659700041906 4881590520092 5018138506668 5257097483176 5325371476464 5436316715557 5735015436192 5769152432836 6195864890886 6212933389208 6690851342224 7228509039367 7322385780138 7885646224764 8261153187848 8542783410161 8653728649254 8886322020576 9012167114016 9199920595558 9319400083812 9763181040184 10036277013336 10096016757463 10514194966352 10650742952928 10872633431114 11538304865672 12391729781772 12425866778416 13381702684448 13424373930253 13799880893337 14457018078734 14644771560276 15771292449528 15865169190299 16308950146671 16522306375696 17085566820322 17307457298508 18399841191116 18638800167624 19526362080368 20072554026672 20192033514926 21028389932704 21685527118101 21745266862228 23076609731344 24783459563544 24851733556832 25628350230483 26848747860506 27599761786674 28914036157468 29289543120552 30288050272389 31542584899056 31730338380598 32617900293342 33044612751392 34171133640644 34614914597016 36799682382232 37277600335248 39052724160736 40145108053344 40273121790759 40384067029852 43371054236202 43490533724456 46153219462688 47595507570897 49566919127088 50599563275569 51256700460966 53697495721012 55199523573348 57828072314936 58579086241104 59799483871127 60576100544778 63085169798112 63460676761196 65235800586684 68342267281288 69229829194032 70672117302241 73599364764464 74555200670496 80546243581518 80768134059704 86742108472404 86981067448912 93970617511771 95191015141794 99133838254176 101199126551138 102513400921932 107394991442024 110399047146696 111056184332093 115656144629872 117158172482208 119598967742254 121152201089556 126921353522392 130471601173368 136684534562576 138459658388064 141344234604482 147198729528928 151798689826707 161092487163036 161536268119408 173484216944808 173962134897824 174516861093289 179398451613381 187941235023542 190382030283588 202398253102276 205026801843864 212016351906723 214789982884048 220798094293392 222112368664186 231312289259744 239197935484508 242304402179112 253842707044784 260943202346736 273369069125152 281911852535313 282688469208964 303597379653414 322184974326072 323072536238816 333168552996279 346968433889616 349033722186578 358796903226762 375882470047084 380764060567176 404796506204552 410053603687728 424032703813446 429579965768096 441596188586784 444224737328372 478395870969016 484608804358224 507685414089568 521886404693472 523550583279867 563823705070626 565376938417928 607194759306828 644369948652144 657794322582397 666337105992558 693936867779232 698067444373156 717593806453524 751764940094168 761528121134352 777393290324651 809593012409104 820107207375456 848065407626892 888449474656744 956791741938032 969217608716448 1047101166559734 1127647410141252 1130753876835856 1214389518613656 1221618027653023 1288739897304288 1315588645164794 1332674211985116 1396134888746312 1435187612907048 1503529880188336 1523056242268704 1554786580649302 1619186024818208 1696130815253784 1776898949313488 1913583483876064 1973382967747191 2094202333119468 2255294820282504 2261507753671712 2332179870973953 2428779037227312 2443236055306046 2631177290329588 2665348423970232 2792269777492624 2870375225814096 3007059760376672 3109573161298604 3392261630507568 3553797898626976 3664854082959069 3946765935494382 4188404666238936 4510589640565008 4664359741947906 4857558074454624 4886472110612092 5262354580659176 5330696847940464 5584539554985248 5740750451628192 6219146322597208 6784523261015136 7329708165918138 7893531870988764 8376809332477872 8551326193571161 9021179281130016 9328719483895812 9772944221224184 10524709161318352 10661393695880928 12438292645194416 14659416331836276 15787063741977528 16753618664955744 17102652387142322 18657438967791624 19545888442448368 21049418322636704 24876585290388832 25653978580713483 29318832663672552 31574127483955056 34205304774284644 37314877935583248 39091776884896736 51307957161426966 58637665327345104 63148254967910112 68410609548569288 74629755871166496 102615914322853932 117275330654690208 136821219097138576 205231828645707864 273642438194277152 410463657291415728 820927314582831456
• Sum of all divisors σ(n): 2983651854739766028
• Sum of proper divisors (its aliquot sum) s(n): 2162724540156934572
• 820927314582831456 is an abundant number, because the sum of its proper divisors (2162724540156934572) is greater than itself. Its abundance is 1341797225574103116

Bases of 820927314582831456

• Binary: 101101100100100001010000101100001100001000000000000101100000₂
• Hexadecimal: 0xB64850B0C200160
• Base-36: 68J6G1ZVGW2O

Squares and roots of 820927314582831456

• 820927314582831456 squared (820927314582831456²) is 673921655828179119717270874103079936
• 820927314582831456 cubed (820927314582831456³) is 553240695158242270156652140261488862887662677183266816
• The square root of 820927314582831456 is 906050392.9599233147
• The cube root of 820927314582831456 is 936342.8575781743

Scales and comparisons

• 820,927,314,582,831,456 seconds is equal to 26,102,949,308 years, 42 weeks, 6 days, 9 hours, 37 minutes, 36 seconds.
• To count from 1 to 820,927,314,582,831,456 would take you about seventy-eight billion, three hundred eight million, eight hundred forty-seven thousand, nine hundred twenty-six 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 820927314582831456 cubic inches would be around 78028.6 feet tall.

Recreational maths with 820927314582831456

• 820927314582831456 backwards is 654138285413729028
• 820927314582831456 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 820927314582831456's digits is 78
• More coming soon!