230309336247868800

Names of 230309336247868800

• Cardinal: 230309336247868800 can be written as Two hundred thirty quadrillion, three hundred nine trillion, three hundred thirty-six billion, two hundred forty-seven million, eight hundred sixty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 2.303093362478688 × 10¹⁷

Factors of 230309336247868800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 191952

Divisors of 230309336247868800

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 127 128 130 144 150 156 160 180 192 195 200 208 225 234 240 254 260 288 300 312 320 325 360 381 384 390 400 416 450 468 480 508 520 576 585 600 624 635 640 650 720 762 780 800 832 900 936 960 975 1016 1040 1143 1152 1170 1200 1248 1270 1300 1440 1524 1560 1600 1651 1664 1800 1872 1905 1920 1950 2032 2080 2286 2340 2400 2496 2540 2600 2880 2925 3048 3120 3175 3200 3302 3600 3744 3810 3900 4064 4160 4572 4680 4800 4953 4992 5080 5200 5715 5760 5850 6096 6240 6350 6604 7200 7488 7620 7800 8128 8255 8320 9144 9360 9525 9600 9906 10160 10400 11430 11700 12192 12480 12700 13208 14400 14859 14976 15240 15600 16256 16510 18288 18720 19050 19812 20320 20800 22860 23400 24384 24765 24960 25400 26416 28575 28800 29718 29921 30480 31200 33020 36576 37440 38100 39624 40640 41275 41600 45720 46800 48768 49530 50800 52832 57150 59436 59842 60960 62400 66040 73152 74295 74880 76200 79248 81280 82550 89763 91440 93600 99060 101600 105664 114300 118872 119684 121920 123825 124800 132080 146304 148590 149605 152400 158496 161881 165100 179526 182880 187200 198120 203200 211328 228600 237744 239368 243840 247650 264160 269289 297180 299210 304800 316992 323762 330200 359052 365760 371475 374400 388973 396240 406400 448815 457200 475488 478736 485643 495300 528320 538578 594360 598420 609600 633984 647524 660400 718104 731520 742950 748025 777946 792480 809405 897630 914400 950976 957472 971286 990600 1056640 1077156 1166919 1188720 1196840 1219200 1295048 1320800 1346445 1436208 1456929 1485900 1496050 1555892 1584960 1618810 1795260 1828800 1901952 1914944 1942572 1944865 1981200 2104453 2154312 2244075 2333838 2377440 2393680 2428215 2590096 2641600 2692890 2872416 2913858 2971800 2992100 3111784 3169920 3237620 3500757 3590520 3657600 3799967 3829888 3885144 3889730 3962400 4047025 4208906 4308624 4488150 4667676 4754880 4787360 4856430 5180192 5283200 5385780 5744832 5827716 5834595 5943600 5984200 6223568 6313359 6475240 6732225 7001514 7181040 7284645 7599934 7770288 7779460 7924800 8094050 8417812 8617248 8976300 9335352 9509760 9574720 9712860 9724325 10360384 10522265 10771560 11399901 11489664 11655432 11669190 11887200 11968400 12141075 12447136 12626718 12950480 13464450 14003028 14362080 14569290 15199868 15540576 15558920 15849600 16188100 16835624 17234496 17503785 17952600 18670704 18940077 18999835 19149440 19425720 19448650 20558887 20720768 21044530 21543120 22799802 23310864 23338380 23774400 23936800 24282150 24894272 25253436 25900960 26928900 28006056 28724160 29138580 29172975 30399736 31081152 31117840 31566795 32376200 33671248 34199703 34468992 35007570 35905200 36423225 37341408 37880154 37999670 38851440 38897300 41117774 42089060 43086240 45599604 46621728 46676760 47548800 47873600 48564300 49399571 49788544 50506872 51801920 52611325 53857800 56012112 56999505 57448320 58277160 58345950 60799472 61676661 62162304 62235680 63133590 64752400 67342496 68399406 70015140 71810400 72846450 74682816 75760308 75999340 77702880 77794600 82235548 84178120 86172480 87518925 91199208 93243456 93353520 94700385 94999175 95747200 97128600 98799142 101013744 102794435 103603840 105222650 107715600 112024224 113999010 116554320 116691900 121598944 123353322 124471360 126267180 129504800 134684992 136798812 140030280 143620800 145692900 148198713 149365632 151520616 151998680 155405760 155589200 157833975 164471096 168356240 170998515 172344960 175037850 182398416 185029983 186486912 186707040 189400770 189998350 194257200 197598284 202027488 205588870 210445300 215431200 224048448 227998020 233108640 233383800 243197888 246706644 246997855 248942720 252534360 259009600 267265531 269369984 273597624 280060560 284997525 287241600 291385800 296397426 303041232 303997360 308383305 310811520 311178400 315667950 328942192 336712480 341997030 350075700 364796832 370059966 373414080 378801540 379996700 388514400 395196568 404054976 411177740 420890600 430862400 444596139 448096896 455996040 466217280 466767600 473501925 486395776 493413288 493995710 505068720 513972175 518019200 534531062 547195248 560121120 569995050 582771600 592794852 606082464 607994720 616766610 622356800 631335900 657884384 673424960 683994060 700151400 729593664 740119932 740993565 746828160 757603080 759993400 777028800 790393136 801796593 808109952 822355480 841781200 854992575 861724800 889192278 911992080 925149915 932434560 933535200 947003850 986826576 987991420 1010137440 1027944350 1069062124 1094390496 1120242240 1139990100 1165543200 1185589704 1212164928 1215989440 1233533220 1234989275 1244713600 1262671800 1315768768 1336327655 1346849920 1367988120 1400302800 1459187328 1480239864 1481987130 1515206160 1519986800 1541916525 1554057600 1580786272 1603593186 1644710960 1683562400 1709985150 1778384556 1823984160 1850299830 1867070400 1894007700 1973653152 1975982840 2020274880 2055888700 2138124248 2188780992 2222980695 2240484480 2279980200 2331086400 2371179408 2405389779 2424329856 2431978880 2467066440 2469978550 2525343600 2631537536 2672655310 2735976240 2800605600 2960479728 2963974260 3030412320 3039973600 3083833050 3161572544 3207186372 3289421920 3367124800 3419970300 3556769112 3647968320 3700599660 3704967825 3734140800 3788015400 3947306304 3951965680 4008982965 4040549760 4111777400 4276248496 4377561984 4445961390 4559960400 4625749575 4662172800 4742358816 4810779558 4843641401 4934132880 4939957100 5050687200 5345310620 5471952480 5601211200 5920959456 5927948520 6060824640 6079947200 6167666100 6323145088 6414372744 6578843840 6681638275 6734249600 6839940600 7113538224 7295936640 7401199320 7409935650 7576030800 7894612608 7903931360 8017965930 8223554800 8552496992 8891922780 9119920800 9251499150 9484717632 9621559116 9687282802 9868265760 9879914200 10101374400 10690621240 10943904960 11114903475 11202422400 11841918912 11855897040 12026948895 12121649280 12159894400 12335332200 12828745488 13157687680 13363276550 13679881200 14227076448 14530924203 14802398640 14819871300 15152061600 15807862720 16035931860 16447109600 17104993984 17783845560 18239841600 18502998300 18969435264 19243118232 19374565604 19736531520 19759828400 20044914825 20202748800 21381242480 21887809920 22229806950 23683837824 23711794080 24053897790 24218207005 24670664400 25657490976 26726553100 27359762400 28454152896 29061848406 29604797280 29639742600 30304123200 31615725440 32071863720 32894219200 34209987968 35567691120 36479683200 37005996600 38486236464 38749131208 39473063040 39519656800 40089829650 42762484960 43592772609 44459613900 47423588160 48107795580 48436414010 49341328800 51314981952 53453106200 54719524800 56908305792 58123696812 59209594560 59279485200 60134744475 60608246400 62967338213 64143727440 65788438400 71135382240 72654621015 74011993200 76972472928 77498262416 79039313600 80179659300 85524969920 87185545218 88919227800 94847176320 96215591160 96872828020 98682657600 102629963904 106906212400 109439049600 116247393624 118419189120 118558970400 120269488950 121091035025 125934676426 128287454880 142270764480 145309242030 148023986400 153944945856 154996524832 158078627200 160359318600 171049939840 174371090436 177838455600 188902014639 192431182320 193745656040 197365315200 213812424800 217963863045 232494787248 237117940800 240538977900 242182070050 251869352852 256574909760 284541528960 290618484060 296047972800 307889891712 309993049664 314836691065 320718637200 348742180872 355676911200 363273105075 377804029278 384862364640 387491312080 427624849600 435927726090 464989574496 474235881600 481077955800 484364140100 503738705704 513149819520 566706043917 581236968120 592095945600 615142457927 619986099328 629673382130 641437274400 697484361744 711353822400 726546210150 755608058556 769724729280 774982624160 855249699200 871855452180 929979148992 944510073195 962155911600 968728280200 1007477411408 1089819315225 1133412087834 1162473936240 1230284915854 1259346764260 1282874548800 1394968723488 1422707644800 1453092420300 1511216117112 1539449458560 1549965248320 1574183455325 1743710904360 1845427373781 1859958297984 1889020146390 1924311823200 1937456560400 2014954822816 2179638630450 2266824175668 2324947872480 2460569831708 2518693528520 2565749097600 2789937446976 2833530219585 2906184840600 3022432234224 3075712289635 3099930496640 3148366910650 3487421808720 3690854747562 3778040292780 3848623646400 3874913120800 4029909645632 4359277260900 4533648351336 4649895744960 4722550365975 4921139663416 5037387057040 5536282121343 5579874893952 5667060439170 5812369681200 6044864468448 6151424579270 6296733821300 6974843617440 7381709495124 7556080585560 7697247292800 7749826241600 7996851953051 8059819291264 8718554521800 9067296702672 9227136868905 9299791489920 9445100731950 9842279326832 10074774114080 11072564242686 11334120878340 11624739362400 12089728936896 12302849158540 12593467642600 13949687234880 14167651097925 14763418990248 15112161171120 15378561448175 15499652483200 15993703906102 17437109043600 18134593405344 18454273737810 18890201463900 19684558653664 20149548228160 22145128485372 22668241756680 23249478724800 23990555859153 24179457873792 24605698317080 25186935285200 27681410606715 27899374469760 28335302195850 29526837980496 30224322342240 30757122896350 31987407812204 34874218087200 36269186810688 36908547475620 37780402927800 39369117307328 39984259765255 40299096456320 44290256970744 45336483513360 46135684344525 46498957449600 47981111718306 49211396634160 50373870570400 55362821213430 56670604391700 59053675960992 60448644684480 61514245792700 63974815624408 69748436174400 71971667577459 72538373621376 73817094951240 75560805855600 78738234614656 79968519530510 88580513941488 90672967026720 92271368689050 95962223436612 98422793268320 100747741140800 110725642426860 113341208783400 118107351921984 119952779295765 120897289368960 123028491585400 127949631248816 138407053033575 139496872348800 143943335154918 147634189902480 151121611711200 159937039061020 177161027882976 181345934053440 184542737378100 191924446873224 196845586536640 199921298826275 201495482281600 221451284853720 226682417566800 236214703843968 239905558591530 246056983170800 255899262497632 276814106067150 287886670309836 295268379804960 302243223422400 319874078122040 354322055765952 359858337887295 362691868106880 369085474756200 383848893746448 393691173073280 399842597652550 442902569707440 453364835133600 479811117183060 492113966341600 511798524995264 553628212134300 575773340619672 590536759609920 599763896478825 604486446844800 639748156244080 708644111531904 719716675774590 738170949512400 767697787492896 799685195305100 885805139414880 906729670267200 959622234366120 984227932683200 1023597049990528 1107256424268600 1151546681239344 1181073519219840 1199527792957650 1279496312488160 1439433351549180 1476341899024800 1535395574985792 1599370390610200 1771610278829760 1799291689436475 1813459340534400 1919244468732240 1968455865366400 2214512848537200 2303093362478688 2399055585915300 2558992624976320 2878866703098360 2952683798049600 3070791149971584 3198740781220400 3543220557659520 3598583378872950 3838488937464480 4429025697074400 4606186724957376 4798111171830600 5117985249952640 5757733406196720 5905367596099200 6397481562440800 7197166757745900 7676977874928960 8858051394148800 9212373449914752 9596222343661200 11515466812393440 12794963124881600 14394333515491800 15353955749857920 17716102788297600 19192444687322400 23030933624786880 25589926249763200 28788667030983600 38384889374644800 46061867249573760 57577334061967200 76769778749289600 115154668123934400 230309336247868800
• Sum of all divisors σ(n): 892015522422635520
• Sum of proper divisors (its aliquot sum) s(n): 661706186174766720
• 230309336247868800 is an abundant number, because the sum of its proper divisors (661706186174766720) is greater than itself. Its abundance is 431396849926897920

Bases of 230309336247868800

• Binary: 1100110010001110010001111011111111100000101001110110000000₂
• Hexadecimal: 0x332391EFF829D80
• Base-36: 1QZPUGG74V40

Squares and roots of 230309336247868800

• 230309336247868800 squared (230309336247868800²) is 53042390362933893547672542013440000
• 230309336247868800 cubed (230309336247868800³) is 12216157717487657683251136169536805257660956672000000
• The square root of 230309336247868800 is 479905549.2988894373
• The cube root of 230309336247868800 is 612967.1227625711

Scales and comparisons

• 230,309,336,247,868,800 seconds is equal to 7,323,124,499 years, 6 weeks, 5 days, 16 hours.
• To count from 1 to 230,309,336,247,868,800 would take you about twenty-one billion, nine hundred sixty-nine million, three hundred seventy-three thousand, four hundred ninety-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 230309336247868800 cubic inches would be around 51080.6 feet tall.

Recreational maths with 230309336247868800

• 230309336247868800 backwards is 008868742633903032
• 230309336247868800 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 230309336247868800's digits is 72
• More coming soon!