468892536324016000

Names of 468892536324016000

• Cardinal: 468892536324016000 can be written as Four hundred sixty-eight quadrillion, eight hundred ninety-two trillion, five hundred thirty-six billion, three hundred twenty-four million, sixteen thousand.

Scientific notation

• Scientific notation: 4.68892536324016 × 10¹⁷

Factors of 468892536324016000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 797876

Divisors of 468892536324016000

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 41 49 50 56 58 64 70 80 82 98 100 112 116 125 128 140 145 160 164 175 196 200 203 205 224 232 245 250 280 287 290 320 328 350 392 400 406 410 448 464 490 500 560 574 580 631 640 656 700 725 784 800 812 820 875 896 928 980 1000 1015 1025 1120 1148 1160 1189 1225 1262 1312 1400 1421 1435 1450 1568 1600 1624 1640 1750 1856 1960 2000 2009 2030 2050 2240 2296 2320 2378 2450 2524 2624 2800 2842 2870 2900 3136 3155 3200 3248 3280 3500 3625 3712 3920 4000 4018 4060 4100 4417 4480 4592 4640 4756 4900 5048 5075 5125 5248 5600 5684 5740 5800 5945 6125 6272 6310 6496 6560 7000 7105 7175 7250 7840 8000 8036 8120 8200 8323 8834 9184 9280 9512 9800 10045 10096 10150 10250 11200 11368 11480 11600 11890 12250 12620 12992 13120 14000 14210 14350 14500 15680 15775 16000 16072 16240 16400 16646 17668 18299 18368 18560 19024 19600 20090 20192 20300 20500 22085 22400 22736 22960 23200 23780 24500 25240 25375 25871 25984 26240 28000 28420 28700 29000 29725 30919 31360 31550 32144 32480 32800 33292 35336 35525 35875 36598 36736 38048 39200 40180 40384 40600 41000 41615 44170 45472 45920 46400 47560 49000 50225 50480 50750 51742 56000 56840 57400 58000 58261 59450 61838 63100 64288 64960 65600 66584 70672 71050 71750 73196 76096 78400 78875 80360 80768 81200 82000 83230 88340 90944 91495 91840 92800 95120 98000 100450 100960 101500 103484 110425 112000 113680 114800 116000 116522 118900 123676 126200 128093 128576 129355 129920 131200 133168 141344 142100 143500 146392 148625 152192 154595 156800 157750 160720 162400 164000 166460 176680 177625 181097 181888 182990 183680 190240 196000 200900 201920 203000 206968 208075 220850 227360 229600 232000 233044 237800 247352 251125 252400 256186 257152 258710 266336 282688 284200 287000 291305 292784 297250 309190 315500 321440 324800 328000 332920 353360 355250 362194 365980 380480 392000 401800 403840 406000 413936 416150 441700 454720 457475 459200 464000 466088 475600 494704 502250 504800 512372 517420 532672 552125 565376 568400 574000 582610 585568 594500 618380 631000 640465 642880 646775 649600 656000 665840 706720 710500 724388 731960 750259 760960 772975 784000 797161 803600 812000 827872 832300 883400 896651 905485 909440 914950 918400 932176 951200 989408 1004500 1009600 1024744 1034840 1040375 1065344 1104250 1136800 1148000 1165220 1171136 1189000 1236760 1262000 1267679 1280930 1285760 1293550 1331680 1413440 1421000 1448776 1456525 1463920 1500518 1545950 1594322 1607200 1624000 1655744 1664600 1766800 1793302 1810970 1829900 1864352 1902400 1978816 2009000 2019200 2049488 2069680 2080750 2208500 2273600 2287375 2296000 2330440 2342272 2378000 2473520 2524000 2535358 2561860 2587100 2663360 2826880 2842000 2897552 2913050 2927840 3001036 3091900 3188644 3202325 3214400 3233875 3248000 3311488 3329200 3533600 3586604 3621940 3659800 3728704 3751295 3804800 3864875 3957632 3985805 4018000 4098976 4139360 4161500 4417000 4483255 4527425 4547200 4574750 4592000 4660880 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240082880 247352000 253535800 255091520 256186000 261468808 262590650 279006350 286928320 289755200 292784000 294101528 300103600 312487112 316919750 318864400 323647366 326836010 336116032 357128128 358660400 362194000 367626910 369882704 375129500 390608890 398580500 405657280 409897600 413936000 420145040 446410160 448325500 457570414 462353380 466088000 480165760 494704000 503008591 507071600 510183040 512372000 522937616 525181300 558012700 573856640 577941725 579510400 588203056 600207200 624974224 633839500 637728800 647294732 653672020 656476625 672232064 697515875 714256256 717320800 724388000 735253820 739765408 750259000 781217780 797161000 809118415 811314560 817090025 840290080 892820320 896651000 915140828 919067275 924706760 932176000 947824429 976522225 1006017182 1014143200 1024744000 1045875232 1050362600 1116025400 1132765781 1143926035 1155883450 1176406112 1200414400 1249948448 1267679000 1275457600 1294589464 1307344040 1312953250 1395031750 1434641600 1448776000 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1971793676720 2012034364000 2021088518638 2042214879460 2062335223100 2123126720960 2253478487680 2265531562000 2309815449872 2322169851050 2333959862240 2392308858796 2464742095900 2552768599325 2562394318400 2577919028875 2589178928000 2639789085568 2653908401200 2816848109600 2859100831244 2887269312340 2917449827800 2972377409344 2990386073495 3033038172800 3080927619875 3154869882752 3202992898000 3267543807136 3299736356960 3317385501500 3521060137000 3573876039055 3609086640425 3624850499200 3646812284750 3660563312000 3715471761680 3791297716000 3943587353440 4024068728000 4042177037276 4084429758920 4124670446200 4186540502893 4246253441920 4531063124000 4619630899744 4644339702100 4667919724480 4784617717592 4929484191800 5052721296595 5105537198650 5124788636800 5155838057750 5307816802400 5633696219200 5718201662488 5774538624680 5805424627625 5834899655600 5944754818688 5980772146990 6161855239750 6405985796000 6535087614272 6599472713920 6634771003000 7042120274000 7147752078110 7218173280850 7293624569500 7430943523360 7582595432000 7887174706880 8048137456000 8084354074552 8168859517840 8249340892400 8373081005786 9062126248000 9239261799488 9288679404200 9335839448960 9569235435184 9858968383600 10105442593190 10211074397300 10311676115500 10615633604800 11267392438400 11436403324976 11549077249360 11610849255250 11669799311200 11961544293980 12323710479500 12763842996625 12811971592000 13070175228544 13198945427840 13269542006000 14084240548000 14295504156220 14436346561700 14587249139000 14861887046720 14951930367475 15165190864000 15774349413760 16168708149104 16337719035680 16498681784800 16746162011572 17869380195275 18045433202125 18124252496000 18478523598976 18577358808400 19138470870368 19717936767200 20210885186380 20422148794600 20623352231000 20932702514465 21231267209600 22872806649952 23098154498720 23221698510500 23339598622400 23923088587960 24647420959000 25263606482975 25527685993250 25623943184000 26539084012000 28168481096000 28591008312440 28872693123400 29174498278000 29305783520251 29723774093440 29903860734950 32337416298208 32675438071360 32997363569600 33492324023144 35738760390550 36090866404250 37154717616800 38276941740736 39435873534400 40421770372760 40844297589200 41246704462000 41865405028930 45745613299904 46196308997440 46443397021000 46679197244800 47846177175920 49294841918000 50527212965950 51055371986500 53078168024000 56336962192000 57182016624880 57745386246800 58348996556000 58611567040502 59807721469900 64674832596416 65350876142720 65994727139200 66984648046288 71477520781100 72181732808500 74309435233600 74759651837375 76553883481472 78871747068800 80843540745520 81688595178400 82493408924000 83730810057860 89346900976375 91491226599808 92392617994880 92886794042000 95692354351840 98589683836000 101054425931900 102110743973000 104663512572325 106156336048000 114364033249760 115490772493600 116697993112000 117223134081004 119615442939800 126318032414875 129349665192832 133969296092576 142955041562200 144363465617000 146528917601255 148618870467200 149519303674750 161687081491040 163377190356800 164986817848000 167461620115720 178693801952750 185773588084000 191384708703680 197179367672000 202108851863800 204221487946000 209327025144650 228728066499520 230981544987200 233395986224000 234446268162008 239230885879600 252636064829750 267938592185152 285910083124400 288726931234000 293057835202510 299038607349500 323374162982080 326754380713600 329973635696000 334923240231440 357387603905500 371547176168000 382769417407360 394358735344000 404217703727600 408442975892000 418654050289300 457456132999040 461963089974400 468892536324016 478461771759200 505272129659500 523317562861625 535877184370304 571820166248800 577453862468000 586115670405020 598077214699000 646748325964160 669846480462880 714775207811000 732644588006275 743094352336000 808435407455200 816885951784000 837308100578600 937785072648032 956923543518400 1010544259319000 1046635125723250 1143640332497600 1154907724936000 1172231340810040 1196154429398000 1339692960925760 1429550415622000 1465289176012550 1616870814910400 1633771903568000 1674616201157200 1875570145296064 1913847087036800 2021088518638000 2093270251446500 2287280664995200 2309815449872000 2344462681620080 2392308858796000 2679385921851520 2859100831244000 2930578352025100 3233741629820800 3349232402314400 3663222940031375 3751140290592128 4042177037276000 4186540502893000 4688925363240160 4784617717592000 5718201662488000 5861156704050200 6698464804628800 7326445880062750 8084354074552000 8373081005786000 9377850726480320 9569235435184000 11436403324976000 11722313408100400 13396929609257600 14652891760125500 16168708149104000 16746162011572000 18755701452960640 23444626816200800 29305783520251000 33492324023144000 46889253632401600 58611567040502000 66984648046288000 93778507264803200 117223134081004000 234446268162008000 468892536324016000
• Sum of all divisors σ(n): 1439374637565446400
• Sum of proper divisors (its aliquot sum) s(n): 970482101241430400
• 468892536324016000 is an abundant number, because the sum of its proper divisors (970482101241430400) is greater than itself. Its abundance is 501589564917414400

Bases of 468892536324016000

• Binary: 11010000001110101110100011100001001011011001100011110000000₂
• Hexadecimal: 0x681D747096CC780
• Base-36: 3K8WJ5GWSKN4

Squares and roots of 468892536324016000

• 468892536324016000 squared (468892536324016000²) is 219860210620368663994138368256000000
• 468892536324016000 cubed (468892536324016000³) is 103090811794517022119512801659182474744836096000000000
• The square root of 468892536324016000 is 684757282.7827506939
• The cube root of 468892536324016000 is 776886.8551312253

Scales and comparisons

• 468,892,536,324,016,000 seconds is equal to 14,909,332,275 years, 13 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
• To count from 1 to 468,892,536,324,016,000 would take you about forty-four billion, seven hundred twenty-seven million, nine hundred ninety-six thousand, eight hundred twenty-five 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 468892536324016000 cubic inches would be around 64740.6 feet tall.

Recreational maths with 468892536324016000

• 468892536324016000 backwards is 000610423635298864
• The number of decimal digits it has is: 18
• The sum of 468892536324016000's digits is 67
• More coming soon!