472882744498207680
472,882,744,498,207,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 472882744498207680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 896 divisors.
472882744498207680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 472882744498207680:
26 × 33 × 5 × 7 × 13 × 61 × 9859808887
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 13 × 61 × 9859808887)See below for interesting mathematical facts about the number 472882744498207680 from the Numbermatics database.
Names of 472882744498207680
- Cardinal: 472882744498207680 can be written as Four hundred seventy-two quadrillion, eight hundred eighty-two trillion, seven hundred forty-four billion, four hundred ninety-eight million, two hundred seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.7288274449820768 × 1017
Factors of 472882744498207680
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 9859808978
Divisors of 472882744498207680
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 52 54 56 60 61 63 64 65 70 72 78 80 84 90 91 96 104 105 108 112 117 120 122 126 130 135 140 144 156 160 168 180 182 183 189 192 195 208 210 216 224 234 240 244 252 260 270 273 280 288 305 312 315 320 336 351 360 364 366 378 390 416 420 427 432 448 455 468 480 488 504 520 540 546 549 560 576 585 610 624 630 672 702 720 728 732 756 780 793 819 832 840 854 864 910 915 936 945 960 976 1008 1040 1080 1092 1098 1120 1170 1220 1248 1260 1281 1344 1365 1404 1440 1456 1464 1512 1560 1586 1638 1647 1680 1708 1728 1755 1820 1830 1872 1890 1952 2016 2080 2135 2160 2184 2196 2240 2340 2379 2440 2457 2496 2520 2562 2730 2745 2808 2880 2912 2928 3024 3120 3172 3276 3294 3360 3416 3510 3640 3660 3744 3780 3843 3904 3965 4032 4095 4160 4270 4320 4368 4392 4680 4758 4880 4914 5040 5124 5460 5490 5551 5616 5824 5856 6048 6240 6344 6405 6552 6588 6720 6832 7020 7137 7280 7320 7488 7560 7686 7930 8190 8235 8540 8640 8736 8784 9360 9516 9760 9828 10080 10248 10920 10980 11102 11232 11529 11712 11895 12096 12285 12480 12688 12810 13104 13176 13664 14040 14274 14560 14640 15120 15372 15860 16380 16470 16653 17080 17472 17568 18720 19032 19215 19520 19656 20160 20496 21411 21840 21960 22204 22464 23058 23790 24570 25376 25620 26208 26352 27328 27755 28080 28548 29120 29280 30240 30744 31720 32760 32940 33306 34160 35136 35685 37440 38064 38430 39312 40992 42822 43680 43920 44408 46116 47580 49140 49959 50752 51240 52416 52704 55510 56160 57096 57645 58560 60480 61488 63440 65520 65880 66612 68320 71370 76128 76860 78624 81984 83265 85644 87360 87840 88816 92232 95160 98280 99918 102480 105408 107055 111020 112320 114192 115290 122976 126880 131040 131760 133224 136640 142740 149877 152256 153720 157248 166530 171288 175680 177632 184464 190320 196560 199836 204960 214110 222040 228384 230580 245952 249795 253760 262080 263520 266448 285480 299754 307440 333060 342576 355264 368928 380640 393120 399672 409920 428220 444080 456768 461160 499590 527040 532896 570960 599508 614880 666120 685152 737856 749385 761280 786240 799344 856440 888160 922320 999180 1065792 1141920 1199016 1229760 1332240 1370304 1498770 1598688 1712880 1776320 1844640 1998360 2283840 2398032 2664480 2997540 3197376 3425760 3689280 3996720 4796064 5328960 5995080 6851520 7993440 9592128 11990160 15986880 23980320 47960640 9859808887 19719617774 29579426661 39439235548 49299044435 59158853322 69018662209 78878471096 88738279983 98598088870 118317706644 128177515531 138037324418 147897133305 157756942192 177476559966 197196177740 207055986627 236635413288 256355031062 266214839949 276074648836 295794266610 315513884384 345093311045 354953119932 384532546593 394392355480 414111973254 443691399915 473270826576 512710062124 532429679898 552149297672 591588533220 601448342107 621167959881 631027768768 640887577655 690186622090 709906239864 769065093186 788784710960 828223946508 887382799830 897242608717 946541653152 1025420124248 1035279933135 1064859359796 1104298595344 1153597639779 1183177066440 1202896684214 1242335919762 1281775155310 1331074199745 1380373244180 1419812479728 1538130186372 1577569421920 1656447893016 1774765599660 1794485217434 1804345026321 1863503879643 1893083306304 1922662732965 2050840248496 2070559866270 2129718719592 2208597190688 2307195279558 2366354132880 2405793368428 2484671839524 2563550310620 2662148399490 2691727826151 2760746488360 2839624959456 3007241710535 3076260372744 3105839799405 3155138843840 3312895786032 3460792919337 3549531199320 3588970434868 3608690052642 3727007759286 3845325465930 4101680496992 4141119732540 4210138394749 4259437439184 4417194381376 4486213043585 4614390559116 4732708265760 4811586736856 4969343679048 5127100621240 5324296798980 5383455652302 5413035078963 5521492976720 5679249918912 5767988198895 6014483421070 6152520745488 6211679598810 6625791572064 6921585838674 7099062398640 7177940869736 7217380105284 7454015518572 7690650931860 7818828447391 8075183478453 8203360993984 8282239465080 8420276789498 8518874878368 8972426087170 9021725131605 9228781118232 9317519398215 9465416531520 9623173473712 9938687358096 10254201242480 10648593597960 10766911304604 10826070157926 11042985953440 11535976397790 12028966842140 12305041490976 12423359197620 12630415184247 13251583144128 13458639130755 13843171677348 14198124797280 14355881739472 14434760210568 14908031037144 15381301863720 15637656894782 16150366956906 16239105236889 16564478930160 16840553578996 17037749756736 17303964596685 17944852174340 18043450263210 18457562236464 18635038796430 19246346947424 19877374716192 20508402484960 21050691973745 21297187195920 21533822609208 21652140315852 22085971906880 23071952795580 23456485342173 24057933684280 24225550435359 24610082981952 24846718395240 25260830368494 26917278261510 27065175394815 27686343354696 28396249594560 28711763478944 28869520421136 29816062074288 30762603727440 31275313789564 32300733913812 32478210473778 33128957860320 33681107157992 34607929193370 35889704348680 36086900526420 36915124472928 37270077592860 37891245552741 38492693894848 39094142236955 39754749432384 40375917392265 41016804969920 42101383947490 42594374391840 43067645218416 43304280631704 46143905591160 46912970684346 48115867368560 48451100870718 49693436790480 50521660736988 53834556523020 54130350789630 54731799131737 55372686709392 57423526957888 57739040842272 59632124148576 61525207454880 62550627579128 63152075921235 64601467827624 64956420947556 66257915720640 67362214315984 69215858386740 70369456026519 71779408697360 72173801052840 73830248945856 74540155185720 75782491105482 78188284473910 80751834784530 81195526184445 84202767894980 85188748783680 86135290436832 86608561263408 92287811182320 93825941368692 96231734737120 96902201741436 99386873580960 101043321473976 107669113046040 108260701579260 109463598263474 110745373418784 113673736658223 115478081684544 117282426710865 119264248297152 121127752176795 123050414909760 125101255158256 126304151842470 129202935655248 129912841895112 134724428631968 138431716773480 140738912053038 143558817394720 144347602105680 149080310371440 151564982210964 156376568947820 161503669569060 162391052368890 164195397395211 168405535789960 172270580873664 173217122526816 184575622364640 187651882737384 189456227763705 192463469474240 193804403482872 198773747161920 202086642947952 211108368079557 215338226092080 216521403158520 218927196526948 221490746837568 227347473316446 234564853421730 242255504353590 250202510316512 252608303684940 258405871310496 259825683790224 269448857263936 273658995658685 276863433546960 281477824106076 287117634789440 288695204211360 298160620742880 303129964421928 312753137895640 323007339138120 324782104737780 328390794790422 336811071579920 346434245053632 351847280132595 369151244729280 375303765474768 378912455527410 387608806965744 404173285895904 422216736159114 430676452184160 433042806317040 437854393053896 454694946632892 469129706843460 484511008707180 492586192185633 500405020633024 505216607369880 516811742620992 519651367580448 547317991317370 553726867093920 562955648212152 568368683291115 577390408422720 596321241485760 606259928843856 625506275791280 646014678276240 649564209475560 656781589580844 673622143159840 703694560265190 750607530949536 757824911054820 775217613931488 808346571791808 820976986976055 844433472318228 861352904368320 866085612634080 875708786107792 909389893265784 938259413686920 969022017414360 985172384371266 1010433214739760 1039302735160896 1055541840397785 1094635982634740 1107453734187840 1125911296424304 1136737366582230 1212519857687712 1251012551582560 1292029356552480 1299128418951120 1313563179161688 1347244286319680 1407389120530380 1477758576556899 1501215061899072 1515649822109640 1550435227862976 1641953973952110 1688866944636456 1732171225268160 1751417572215584 1818779786531568 1876518827373840 1938044034828720 1970344768742532 2020866429479520 2111083680795570 2189271965269480 2251822592848608 2273474733164460 2425039715375424 2462930960928165 2502025103165120 2584058713104960 2598256837902240 2627126358323376 2814778241060760 2955517153113798 3031299644219280 3283907947904220 3377733889272912 3502835144431168 3637559573063136 3753037654747680 3876088069657440 3940689537485064 4041732858959040 4222167361591140 4378543930538960 4503645185697216 4546949466328920 4925861921856330 5196513675804480 5254252716646752 5629556482121520 5911034306227596 6062599288438560 6567815895808440 6755467778545824 7275119146126272 7388792882784495 7506075309495360 7752176139314880 7881379074970128 8444334723182280 8757087861077920 9093898932657840 9851723843712660 10508505433293504 11259112964243040 11822068612455192 12125198576877120 13135631791616880 13510935557091648 14777585765568990 15762758149940256 16888669446364560 17514175722155840 18187797865315680 19703447687425320 22518225928486080 23644137224910384 26271263583233760 29555171531137980 31525516299880512 33777338892729120 36375595730631360 39406895374850640 47288274449820768 52542527166467520 59110343062275960 67554677785458240 78813790749701280 94576548899641536 118220686124551920 157627581499402560 236441372249103840 472882744498207680
- Sum of all divisors σ(n): 2086859313748930560
- Sum of proper divisors (its aliquot sum) s(n): 1613976569250722880
- 472882744498207680 is an abundant number, because the sum of its proper divisors (1613976569250722880) is greater than itself. Its abundance is 1141093824752515200
Bases of 472882744498207680
- Binary: 110100100000000010001011001110001100011101000111011110000002
- Hexadecimal: 0x6900459C63A3BC0
- Base-36: 3LC6XXSRL2O0
Squares and roots of 472882744498207680
- 472882744498207680 squared (4728827444982076802) is 223618090044157165848758732410982400
- 472882744498207680 cubed (4728827444982076803) is 105745136139528371600754757529352412001921948024832000
-
The
square root of 472882744498207680 is 687664703.5425096473 -
The
cube root of 472882744498207680 is 779084.3652423087
Scales and comparisons
How big is 472882744498207680?- 472,882,744,498,207,680 seconds is equal to 15,036,208,552 years, 35 weeks, 16 hours, 48 minutes.
-
To count from 1 to 472,882,744,498,207,680 would take you about forty-five billion, one hundred eight million, six hundred twenty-five thousand, six hundred fifty-eight 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 472882744498207680 cubic inches would be around 64923.7 feet tall.
Recreational maths with 472882744498207680
- 472882744498207680 backwards is 086702894447288274
- 472882744498207680 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 472882744498207680's digits is 90
- More coming soon!
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The information we have on file for 472882744498207680 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!
Keywords: Divisors of 472882744498207680, math, Factors of 472882744498207680, curriculum, school, college, exams, university, Prime factorization of 472882744498207680, STEM, science, technology, engineering, physics, economics, calculator, four hundred seventy-two quadrillion, eight hundred eighty-two trillion, seven hundred forty-four billion, four hundred ninety-eight million, two hundred seven thousand, six hundred eighty.