20121427736294400

Names of 20121427736294400

• Cardinal: 20121427736294400 can be written as Twenty quadrillion, one hundred twenty-one trillion, four hundred twenty-seven billion, seven hundred thirty-six million, two hundred ninety-four thousand, four hundred.

Scientific notation

• Scientific notation: 2.01214277362944 × 10¹⁶

Factors of 20121427736294400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 121085

Divisors of 20121427736294400

• Number of divisors d(n): 1320
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 37 40 45 48 50 54 60 64 72 74 75 80 81 90 96 100 108 111 120 128 135 144 148 150 160 162 180 185 192 200 216 222 225 240 256 270 288 296 300 320 324 333 360 370 384 400 405 432 444 450 480 512 540 555 576 592 600 640 648 666 675 720 740 768 800 810 864 888 900 925 960 999 1024 1080 1110 1152 1184 1200 1280 1296 1332 1350 1440 1480 1536 1600 1620 1665 1728 1776 1800 1850 1920 1998 2025 2160 2207 2220 2304 2368 2400 2560 2592 2664 2700 2775 2880 2960 2997 3072 3200 3240 3330 3456 3552 3600 3700 3840 3996 4050 4320 4414 4440 4608 4736 4800 4995 5120 5184 5328 5400 5550 5760 5920 5994 6400 6480 6621 6660 6912 7104 7200 7400 7680 7992 8100 8325 8640 8828 8880 9216 9472 9600 9990 10368 10656 10800 11035 11100 11520 11840 11988 12800 12960 13242 13320 13824 14208 14400 14800 14985 15360 15984 16200 16650 17280 17656 17760 18944 19200 19863 19980 20736 21312 21600 22070 22200 23040 23680 23976 24975 25600 25920 26484 26640 27648 28416 28800 29600 29970 31968 32400 33105 33300 34560 35312 35520 37888 38400 39726 39960 41472 42624 43200 44140 44400 46080 47360 47952 49950 51840 52968 53280 55175 56832 57600 59200 59589 59940 63936 64800 66210 66600 69120 70624 71040 74925 76800 79452 79920 81659 82944 85248 86400 88280 88800 94720 95904 99315 99900 103680 105936 106560 110350 113664 115200 118400 118831 119178 119880 127872 129600 132420 133200 138240 141248 142080 149850 158904 159840 163318 165525 170496 172800 176560 177600 178767 189440 191808 198630 199800 207360 211872 213120 220700 230400 236800 237662 238356 239760 244977 255744 259200 264840 266400 282496 284160 297945 299700 317808 319680 326636 331050 340992 345600 353120 355200 356493 357534 383616 397260 399600 408295 414720 423744 426240 441400 473600 475324 476712 479520 489954 496575 511488 518400 529680 532800 564992 568320 594155 595890 599400 635616 639360 653272 662100 691200 706240 710400 712986 715068 734931 767232 794520 799200 816590 847488 852480 882800 893835 947200 950648 953424 959040 979908 993150 1022976 1036800 1059360 1065600 1069479 1129984 1188310 1191780 1198800 1224885 1271232 1278720 1306544 1324200 1412480 1420800 1425972 1430136 1469862 1489725 1534464 1589040 1598400 1633180 1694976 1704960 1765600 1782465 1787670 1901296 1906848 1918080 1959816 1986300 2041475 2073600 2118720 2131200 2138958 2204793 2259968 2376620 2383560 2397600 2449770 2542464 2557440 2613088 2648400 2824960 2841600 2851944 2860272 2939724 2970775 2979450 3068928 3178080 3196800 3208437 3266360 3389952 3531200 3564930 3575340 3674655 3802592 3813696 3836160 3919632 3972600 4082950 4237440 4262400 4277916 4396747 4409586 4469175 4753240 4767120 4795200 4899540 5084928 5114880 5226176 5296800 5347395 5649920 5703888 5720544 5879448 5941550 5958900 6124425 6356160 6393600 6416874 6532720 6614379 6779904 7062400 7129860 7150680 7349310 7605184 7627392 7672320 7839264 7945200 8165900 8474880 8524800 8555832 8793494 8819172 8912325 8938350 9506480 9534240 9590400 9625311 9799080 10169856 10452352 10593600 10694790 11023965 11299840 11407776 11441088 11758896 11883100 11917800 12248850 12712320 12787200 12833748 13065440 13190241 13228758 14124800 14259720 14301360 14698620 15210368 15254784 15344640 15678528 15890400 16042185 16331800 16949760 17111664 17586988 17638344 17824650 17876700 18373275 19012960 19068480 19180800 19250622 19598160 20339712 20904704 21187200 21389580 21983735 22047930 22815552 22882176 23517792 23766200 23835600 24497700 25424640 25574400 25667496 26130880 26380482 26457516 26736975 28249600 28519440 28602720 29397240 30420736 30509568 31357056 31780800 32084370 32663600 33071895 33899520 34223328 35173976 35276688 35649300 35753400 36746550 38025920 38136960 38361600 38501244 39196320 39570723 41809408 42374400 42779160 43967470 44095860 45631104 45764352 47035584 47532400 47671200 48126555 48995400 50849280 51334992 52261760 52760964 52915032 53473950 55119825 56499200 57038880 57205440 58794480 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305095680 308009952 313570560 316565784 320843700 329756025 330718950 342233280 351739760 352766880 356136507 365048832 376284672 380259200 381369600 385012440 391963200 395707230 410679936 418094080 422087712 423320256 427791600 439674700 440958600 456311040 457643520 470355840 474848676 481265550 508492800 513349920 522617600 524520034 527609640 529150320 547573248 562783616 564427008 570388800 572054400 587944800 593560845 608414720 616019904 627141120 633131568 641687400 659512050 661437900 684466560 703479520 705533760 712273014 752569344 760518400 762739200 770024880 783926400 786780051 791414460 821359872 844175424 846640512 855583200 879349400 881917200 912622080 915287040 940711680 949697352 962531100 989268075 1026699840 1045235200 1049040068 1055219280 1058300640 1095146496 1125567232 1128854016 1140777600 1144108800 1175889600 1187121690 1232039808 1254282240 1266263136 1283374800 1311300085 1319024100 1322875800 1368933120 1406959040 1411067520 1424546028 1521036800 1525478400 1540049760 1567852800 1573560102 1582828920 1642719744 1688350848 1693281024 1711166400 1758698800 1763834400 1780682535 1825244160 1881423360 1899394704 1925062200 1978536150 2053399680 2090470400 2098080136 2110438560 2116601280 2251134464 2257708032 2281555200 2288217600 2351779200 2360340153 2374243380 2464079616 2532526272 2566749600 2622600170 2638048200 2645751600 2737866240 2813918080 2822135040 2849092056 2967804225 3042073600 3080099520 3135705600 3147120204 3165657840 3285439488 3376701696 3386562048 3422332800 3517397600 3527668800 3561365070 3762846720 3798789408 3850124400 3933900255 3957072300 4106799360 4196160272 4220877120 4233202560 4502268928 4563110400 4576435200 4703558400 4720680306 4748486760 4928159232 5065052544 5133499200 5245200340 5276096400 5291503200 5475732480 5627836160 5644270080 5698184112 5935608450 6160199040 6271411200 6294240408 6331315680 6556500425 6753403392 6773124096 6844665600 7034795200 7055337600 7081020459 7122730140 7597578816 7700248800 7867800510 7914144600 8213598720 8392320544 8441754240 8466405120 8903412675 9126220800 9407116800 9441360612 9496973520 9703620629 9856318464 10130105088 10266998400 10490400680 10552192800 10583006400 11255672320 11288540160 11396368224 11801700765 11871216900 12320398080 12588480816 12662631360 13113000850 13506806784 13689331200 14069590400 14110675200 14162040918 14245460280 15195157632 15400497600 15735601020 15828289200 16427197440 16784641088 16883508480 16932810240 17806825350 18814233600 18882721224 18993947040 19407241258 19669501275 20260210176 20533996800 20980801360 21104385600 21166012800 21243061377 22511344640 22792736448 23603401530 23742433800 24640796160 25176961632 25325262720 26226001700 27378662400 28139180800 28221350400 28324081836 28490920560 29110861887 30390315264 30800995200 31471202040 31656578400 33569282176 33767016960 33865620480 35405102295 35613650700 37765442448 37987894080 38814482516 39339002550 40520420352 41067993600 41961602720 42208771200 42332025600 42486122754 45585472896 47206803060 47484867600 48518103145 49281592320 50353923264 50650525440 52452003400 56278361600 56442700800 56648163672 56981841120 58221723774 59008503825 60780630528 61601990400 62942404080 63313156800 67138564352 67534033920 70810204590 71227301400 75530884896 75975788160 77628965032 78678005100 82135987200 83923205440 84417542400 84664051200 84972245508 87332585661 91170945792 94413606120 94969735200 97036206290 100707846528 101301050880 104904006800 106215306885 112556723200 113296327344 113963682240 116443447548 118017007650 121561261056 123203980800 125884808160 126626313600 134277128704 141620409180 142454602800 145554309435 151061769792 151951576320 155257930064 157356010200 167846410880 168835084800 169328102400 169944491016 174665171322 177025511475 182341891584 188827212240 189939470400 194072412580 201415693056 202602101760 209808013600 212430613770 226592654688 227927364480 232886895096 236034015300 242590515725 246407961600 251769616320 253252627200 261997756983 268554257408 283240818360 284909205600 291108618870 302123539584 303903152640 310515860128 314712020400 335692821760 337670169600 339888982032 349330342644 354051022950 364683783168 377654424480 379878940800 388144825160 402831386112 419616027200 424861227540 436662928305 453185309376 455854728960 465773790192 472068030600 485181031450 503539232640 506505254400 523995513966 531076534425 566481636720 569818411200 582217237740 604247079168 607806305280 621031720256 629424040800 671385643520 679777964064 698660685288 708102045900 727771547175 755308848960 759757881600 776289650320 785993270949 805662772224 839232054400 849722455080 873325856610 906370618752 911709457920 931547580384 944136061200 970362062900 1007078465280 1013010508800 1047991027932 1062153068850 1132963273440 1139636822400 1164434475480 1208494158336 1242063440512 1258848081600 1309988784915 1342771287040 1359555928128 1397321370576 1416204091800 1455543094350 1510617697920 1519515763200 1552579300640 1571986541898 1678464108800 1699444910160 1746651713220 1812741237504 1823418915840 1863095160768 1888272122400 1940724125800 2014156930560 2095982055864 2124306137700 2183314641525 2265926546880 2279273644800 2328868950960 2416988316672 2484126881024 2517696163200 2619977569830 2719111856256 2794642741152 2832408183600 2911086188700 3021235395840 3039031526400 3105158601280 3143973083796 3356928217600 3398889820320 3493303426440 3625482475008 3726190321536 3776544244800 3881448251600 3929966354745 4028313861120 4191964111728 4248612275400 4366629283050 4531853093760 4558547289600 4657737901920 4968253762048 5035392326400 5239955139660 5438223712512 5589285482304 5664816367200 5822172377400 6042470791680 6210317202560 6287946167592 6549943924575 6713856435200 6797779640640 6986606852880 7250964950016 7452380643072 7553088489600 7762896503200 7859932709490 8383928223456 8497224550800 8733258566100 9063706187520 9117094579200 9315475803840 9936507524096 10070784652800 10479910279320 10876447425024 11178570964608 11329632734400 11644344754800 12084941583360 12420634405120 12575892335184 13099887849150 13595559281280 13973213705760 14904761286144 15106176979200 15525793006400 15719865418980 16767856446912 16994449101600 17466517132200 18127412375040 18630951607680 19649831773725 20141569305600 20959820558640 21752894850048 22357141929216 22659265468800 23288689509600 24841268810240 25151784670368 26199775698300 27191118562560 27946427411520 29809522572288 30212353958400 31051586012800 31439730837960 33535712893824 33988898203200 34933034264400 36254824750080 37261903215360 39299663547450 41919641117280 44714283858432 45318530937600 46577379019200 49682537620480 50303569340736 52399551396600 54382237125120 55892854823040 60424707916800 62103172025600 62879461675920 67071425787648 67977796406400 69866068528800 74523806430720 78599327094900 83839282234560 89428567716864 90637061875200 93154758038400 100607138681472 104799102793200 108764474250240 111785709646080 124206344051200 125758923351840 134142851575296 135955592812800 139732137057600 149047612861440 157198654189800 167678564469120 181274123750400 186309516076800 201214277362944 209598205586400 223571419292160 248412688102400 251517846703680 268285703150592 271911185625600 279464274115200 314397308379600 335357128938240 372619032153600 402428554725888 419196411172800 447142838584320 503035693407360 543822371251200 558928548230400 628794616759200 670714257876480 745238064307200 804857109451776 838392822345600 1006071386814720 1117857096460800 1257589233518400 1341428515752960 1676785644691200 2012142773629440 2235714192921600 2515178467036800 3353571289382400 4024285547258880 5030356934073600 6707142578764800 10060713868147200 20121427736294400
• Sum of all divisors σ(n): 76556307655382016
• Sum of proper divisors (its aliquot sum) s(n): 56434879919087616
• 20121427736294400 is an abundant number, because the sum of its proper divisors (56434879919087616) is greater than itself. Its abundance is 36313452182793216

Bases of 20121427736294400

• Binary: 1000111011111000101010011111000100110000111010000000000₂
• Hexadecimal: 0x477C54F8987400
• Base-36: 5I4G8AIBK00

Squares and roots of 20121427736294400

• 20121427736294400 squared (20121427736294400²) is 404871854146917582347043471360000
• 20121427736294400 cubed (20121427736294400³) is 8146599755676728334204717018463795238928384000000
• The square root of 20121427736294400 is 141850018.4571521301
• The cube root of 20121427736294400 is 271989.9962813343

Scales and comparisons

• 20,121,427,736,294,400 seconds is equal to 639,799,162 years, 18 weeks, 2 days.
• To count from 1 to 20,121,427,736,294,400 would take you about one billion, nine hundred nineteen million, three hundred ninety-seven thousand, four hundred eighty-seven 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 20121427736294400 cubic inches would be around 22665.8 feet tall.

Recreational maths with 20121427736294400

• 20121427736294400 backwards is 00449263772412102
• 20121427736294400 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 20121427736294400's digits is 54
• More coming soon!