428940990630732800

Names of 428940990630732800

• Cardinal: 428940990630732800 can be written as Four hundred twenty-eight quadrillion, nine hundred forty trillion, nine hundred ninety billion, six hundred thirty million, seven hundred thirty-two thousand, eight hundred.

Scientific notation

• Scientific notation: 4.289409906307328 × 10¹⁷

Factors of 428940990630732800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 5344

Divisors of 428940990630732800

• Number of divisors d(n): 1188
• Complete list of divisors:
  1 2 4 5 8 10 11 16 17 20 22 25 32 34 40 44 50 55 64 68 80 85 88 100 110 121 128 136 160 170 176 187 200 220 242 256 272 275 289 320 340 352 374 400 425 440 484 512 544 550 578 605 640 680 704 748 800 850 880 935 968 1024 1088 1100 1156 1210 1280 1360 1408 1445 1496 1600 1700 1760 1870 1936 2057 2176 2200 2312 2420 2560 2720 2816 2890 2992 3025 3179 3200 3400 3520 3740 3872 4114 4352 4400 4624 4675 4840 4913 5120 5309 5440 5632 5780 5984 6050 6358 6400 6800 7040 7225 7480 7744 8228 8704 8800 9248 9350 9680 9826 10285 10618 10880 11264 11560 11968 12100 12716 12800 13600 14080 14450 14960 15488 15895 16456 17408 17600 18496 18700 19360 19652 20570 21236 21760 23120 23936 24200 24565 25432 25600 26545 27200 28160 28900 29920 30976 31790 32912 34969 35200 36992 37400 38720 39304 41140 42472 43520 46240 47872 48400 49130 50864 51425 53090 54043 54400 56320 57800 58399 59840 61952 63580 65824 69938 70400 73984 74800 77440 78608 79475 82280 84944 87040 90253 92480 95744 96800 98260 101728 102850 106180 108086 108800 115600 116798 119680 122825 123904 127160 131648 132725 139876 140800 147968 149600 154880 157216 158950 164560 169888 174845 180506 184960 191488 193600 196520 203456 205700 212360 216172 217600 231200 233596 239360 245650 254320 263296 265450 270215 279752 281600 291995 295936 299200 309760 314432 317900 329120 339776 349690 361012 369920 387200 393040 406912 411400 424720 432344 435200 451265 462400 467192 478720 491300 508640 526592 530900 540430 559504 583990 594473 598400 619520 628864 635800 642389 658240 679552 699380 722024 739840 774400 786080 813824 822800 849440 864688 874225 902530 924800 934384 957440 982600 992783 1017280 1053184 1061800 1080860 1119008 1167980 1188946 1196800 1257728 1271600 1284778 1316480 1351075 1359104 1398760 1444048 1459975 1479680 1534301 1548800 1572160 1627648 1645600 1698880 1729376 1748450 1805060 1849600 1868768 1965200 1985566 2034560 2106368 2123600 2161720 2238016 2256325 2335960 2377892 2393600 2515456 2543200 2569556 2632960 2702150 2718208 2797520 2888096 2919950 2972365 3068602 3097600 3144320 3211945 3255296 3291200 3397760 3458752 3496900 3610120 3699200 3737536 3930400 3971132 4069120 4247200 4323440 4476032 4512650 4671920 4755784 4787200 4963915 5030912 5086400 5139112 5265920 5404300 5436416 5595040 5776192 5839900 5944730 6137204 6288640 6423890 6582400 6795520 6917504 6993800 7220240 7398400 7475072 7671505 7860800 7942264 8138240 8494400 8646880 8952064 9025300 9343840 9511568 9927830 10172800 10278224 10531840 10808600 10920613 11190080 11552384 11679800 11889460 12274408 12577280 12847780 13164800 13591040 13835008 13987600 14440480 14861825 14950144 15343010 15721600 15884528 16059725 16276480 16877311 16988800 17293760 17904128 18050600 18687680 19023136 19855660 20345600 20556448 21617200 21841226 22380160 23104768 23359600 23778920 24548816 24819575 25154560 25695560 26083117 26329600 27182080 27670016 27975200 28185481 28880960 29723650 29900288 30686020 31443200 31769056 32119450 33754622 33977600 34587520 35808256 36101200 37375360 38046272 38357525 39711320 40691200 41112896 43234400 43682452 44760320 46209536 46719200 47557840 49097632 49639150 51391120 52166234 52659200 54603065 55340032 55950400 56370962 57761920 59447300 59800576 61372040 62886400 63538112 64238900 67509244 67955200 69175040 72202400 74750720 76092544 76715050 79422640 81382400 82225792 84386555 86468800 87364904 89520640 92419072 93438400 95115680 98195264 99278300 102782240 104332468 109206130 111900800 112741924 115523840 118894600 122744080 125772800 127076224 128477800 130415585 135018488 135910400 138350080 140927405 144404800 149501440 152185088 153430100 158845280 164451584 168773110 172937600 174729808 179041280 185650421 186876800 190231360 196390528 198556600 205564480 208664936 218412260 223801600 225483848 231047680 237789200 245488160 254152448 256955600 260831170 270036976 273015325 276700160 281854810 286914287 288809600 299002880 304370176 306860200 310040291 317690560 328903168 337546220 345875200 349459616 371300842 373753600 380462720 392781056 397113200 411128960 417329872 421932775 436824520 447603200 450967696 462095360 475578400 479153177 490976320 508304896 513911200 521662340 540073952 546030650 563709620 573828574 577619200 608740352 613720400 620080582 635381120 652077925 657806336 675092440 691750400 698919232 704637025 742601684 747507200 760925440 785562112 794226400 822257920 834659744 843865550 873649040 895206400 901935392 928252105 951156800 958306354 981952640 1016609792 1027822400 1043324680 1080147904 1092061300 1127419240 1147657148 1155238400 1227440800 1240161164 1270762240 1304155850 1350184880 1383500800 1397838464 1409274050 1434571435 1485203368 1495014400 1521850880 1550201455 1571124224 1588452800 1644515840 1669319488 1687731100 1747298080 1803870784 1856504210 1902313600 1916612708 1963905280 2055644800 2086649360 2160295808 2184122600 2254838480 2295314296 2310476800 2395765885 2454881600 2480322328 2541524480 2608311700 2700369760 2795676928 2818548100 2869142870 2970406736 3043701760 3100402910 3156057157 3176905600 3289031680 3338638976 3375462200 3410443201 3494596160 3607741568 3713008420 3804627200 3833225416 3927810560 4111289600 4173298720 4320591616 4368245200 4509676960 4590628592 4641260525 4791531770 4909763200 4960644656 5083048960 5216623400 5270684947 5400739520 5591353856 5637096200 5738285740 5940813472 6200805820 6312114314 6353811200 6677277952 6750924400 6820886402 6989192320 7172857175 7215483136 7426016840 7609254400 7666450832 7751007275 7855621120 8145604009 8222579200 8346597440 8641183232 8736490400 9019353920 9181257184 9282521050 9583063540 9819526400 9921289312 10433246800 10541369894 10801479040 11182707712 11274192400 11476571480 11881626944 11978829425 12401611640 12624228628 12707622400 13354555904 13501848800 13641772804 13978384640 14345714350 14430966272 14852033680 15218508800 15332901664 15502014550 15780285785 16291208018 16445158400 16693194880 17052216005 17282366464 17472980800 18038707840 18362514368 18565042100 19166127080 19639052800 19842578624 20866493600 21082739788 21602958080 22548384800 22953142960 23763253888 23957658850 24803223280 25248457256 25415244800 26353424735 26709111808 27003697600 27283545608 27956769280 28691428700 28861932544 29704067360 30665803328 31004029100 31560571570 32582416036 33386389760 34104432010 34945961600 36077415680 36725028736 37130084200 38332254160 39278105600 39685157248 40728020045 41732987200 42165479576 43205916160 45096769600 45906285920 47526507776 47915317700 49606446560 50496914512 52706849470 54007395200 54567091216 55913538560 57382857400 57977534417 59408134720 61331606656 62008058200 63121143140 65164832072 66772779520 68208864020 69891923200 72154831360 73450057472 74260168400 76664508320 78901428925 79370314496 81456040090 83465974400 84330959152 85261080025 86411832320 89601644099 90193539200 91812571840 95053015552 95830635400 99212893120 100993829024 105413698940 108014790400 109134182432 114765714800 115955068834 118816269440 122663213312 124016116400 126242286280 130329664144 131767123675 133545559040 136417728040 138475268153 139783846400 144309662720 146900114944 148520336800 153329016640 157802857850 158740628992 162912080180 166931948800 168661918304 170522160050 179203288198 180387078400 183625143680 190106031104 191661270800 198425786240 201987658048 203640100225 210827397880 216029580800 218268364864 229531429600 231910137668 237632538880 245326426624 248032232800 252484572560 260659328288 263534247350 272835456080 276950536306 279567692800 289887672085 293800229888 297040673600 306658033280 315605715700 317481257984 325824160360 333863897600 337323836608 341044320100 358406576396 360774156800 367250287360 383322541600 396851572480 403975316096 407280200450 421654795760 432059161600 436536729728 448008220495 459062859200 463820275336 475265077760 490652853248 496064465600 504969145120 521318656576 527068494700 545670912160 553901072612 579775344170 594081347200 613316066560 631211431400 651648320720 667727795200 674647673216 682088640200 692376340765 716813152792 721548313600 734500574720 766645083200 793703144960 807950632192 814560400900 843309591520 873073459456 896016440990 918125718400 927640550672 950530155520 985618085089 992128931200 1009938290240 1042637313152 1054136989400 1091341824320 1107802145224 1159550688340 1188162694400 1226632133120 1262422862800 1303296641440 1349295346432 1364177280400 1384752681530 1433626305584 1449438360425 1469001149440 1523227949683 1533290166400 1587406289920 1615901264384 1629120801800 1686619183040 1746146918912 1792032881980 1836251436800 1855281101344 1971236170178 1984257862400 2019876580480 2085274626304 2108273978800 2182683648640 2215604290448 2240041102475 2319101376680 2376325388800 2453264266240 2524845725600 2606593282880 2698590692864 2728354560800 2769505363060 2867252611168 2898876720850 3046455899366 3066580332800 3231802528768 3258241603600 3373238366080 3461881703825 3492293837824 3584065763960 3672502873600 3710562202688 3942472340356 3968515724800 4039753160960 4170549252608 4216547957600 4365367297280 4431208580896 4480082204950 4638202753360 4752650777600 4928090425445 5049691451200 5213186565760 5397181385728 5456709121600 5539010726120 5734505222336 5797753441700 6092911798732 6133160665600 6516483207200 6746476732160 6923763407650 7168131527920 7345005747200 7421124405376 7616139748415 7884944680712 7937031449600 8079506321920 8341098505216 8433095915200 8730734594560 8862417161792 8960164409900 9276405506720 9856180850890 10099382902400 10426373131520 10913418243200 11078021452240 11469010444672 11595506883400 12185823597464 12266321331200 13032966414400 13492953464320 13847526815300 14336263055840 14842248810752 15232279496830 15769889361424 16159012643840 16755507446513 16866191830400 17461469189120 17724834323584 17920328819800 18552811013440 19712361701780 20198765804800 20852746263040 21826836486400 22156042904480 22938020889344 23191013766800 24371647194928 24640452127225 26065932828800 26985906928640 27695053630600 28672526111680 29684497621504 30464558993660 31539778722848 33511014893026 33732383660800 35449668647168 35840657639600 37105622026880 38080698742075 39424723403560 40397531609600 41705492526080 43653672972800 44312085808960 45876041778688 46382027533600 48743294389856 49280904254450 52131865657600 55390107261200 57345052223360 59368995243008 60929117987320 63079557445696 67022029786052 67464767321600 70899337294336 71681315279200 74211244053760 76161397484150 78849446807120 80795063219200 83777537232565 87307345945600 88624171617920 91752083557376 92764055067200 97486588779712 98561808508900 104263731315200 110780214522400 114690104446720 121858235974640 126159114891392 134044059572104 134929534643200 141798674588672 143362630558400 148422488107520 152322794968300 157698893614240 167555074465130 177248343235840 185528110134400 194973177559424 197123617017800 208527462630400 221560429044800 229380208893440 243716471949280 252318229782784 268088119144208 286725261116800 296844976215040 304645589936600 315397787228480 335110148930260 354496686471680 371056220268800 389946355118848 394247234035600 418887686162825 443120858089600 458760417786880 487432943898560 504636459565568 536176238288416 573450522233600 609291179873200 630795574456960 670220297860520 708993372943360 742112440537600 779892710237696 788494468071200 837775372325650 886241716179200 974865887797120 1009272919131136 1072352476576832 1146901044467200 1218582359746400 1261591148913920 1340440595721040 1484224881075200 1559785420475392 1576988936142400 1675550744651300 1772483432358400 1949731775594240 2144704953153664 2293802088934400 2437164719492800 2523182297827840 2680881191442080 3153977872284800 3351101489302600 3544966864716800 3899463551188480 4289409906307328 4874329438985600 5046364595655680 5361762382884160 6307955744569600 6702202978605200 7798927102376960 8578819812614656 9748658877971200 10723524765768320 12615911489139200 13404405957210400 17157639625229312 19497317755942400 21447049531536640 25231822978278400 26808811914420800 38994635511884800 42894099063073280 53617623828841600 85788198126146560 107235247657683200 214470495315366400 428940990630732800
• Sum of all divisors σ(n): 1241963813780344620
• Sum of proper divisors (its aliquot sum) s(n): 813022823149611820
• 428940990630732800 is an abundant number, because the sum of its proper divisors (813022823149611820) is greater than itself. Its abundance is 384081832518879020

Bases of 428940990630732800

• Binary: 10111110011111001111000111011110000001001100010010000000000₂
• Hexadecimal: 0x5F3E78EF0262400
• Base-36: 39BIW2R1CRNK

Squares and roots of 428940990630732800

• 428940990630732800 squared (428940990630732800²) is 183990373443274403712767864995840000
• 428940990630732800 cubed (428940990630732800³) is 78921013051276594985136429473586426720448151552000000
• The square root of 428940990630732800 is 654935867.5708124629
• The cube root of 428940990630732800 is 754164.0913769345

Scales and comparisons

• 428,940,990,630,732,800 seconds is equal to 13,638,996,700 years, 23 weeks, 5 days, 19 hours, 33 minutes, 20 seconds.
• To count from 1 to 428,940,990,630,732,800 would take you about forty billion, nine hundred sixteen million, nine hundred ninety thousand, one hundred 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 428940990630732800 cubic inches would be around 62847 feet tall.

Recreational maths with 428940990630732800

• 428940990630732800 backwards is 008237036099049824
• The number of decimal digits it has is: 18
• The sum of 428940990630732800's digits is 74
• More coming soon!