42181090322434000

Names of 42181090322434000

• Cardinal: 42181090322434000 can be written as Forty-two quadrillion, one hundred eighty-one trillion, ninety billion, three hundred twenty-two million, four hundred thirty-four thousand.

Scientific notation

• Scientific notation: 4.2181090322434 × 10¹⁶

Factors of 42181090322434000

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 77593

Divisors of 42181090322434000

• Number of divisors d(n): 1280
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 25 28 29 34 35 40 50 56 58 68 70 80 85 100 112 116 119 125 136 140 145 170 175 181 200 203 232 238 250 272 280 290 340 350 362 400 406 425 439 464 476 493 500 560 580 595 680 700 724 725 812 850 875 878 905 952 986 1000 1015 1160 1190 1267 1360 1400 1448 1450 1624 1700 1750 1756 1810 1904 1972 2000 2030 2125 2195 2320 2380 2465 2534 2800 2896 2900 2975 3073 3077 3248 3400 3451 3500 3512 3620 3625 3944 4060 4250 4390 4525 4760 4930 5068 5075 5249 5800 5950 6146 6154 6335 6800 6902 7000 7024 7240 7250 7463 7888 8120 8500 8780 9050 9520 9860 10136 10150 10498 10975 11600 11900 12292 12308 12325 12670 12731 13804 14000 14480 14500 14875 14926 15365 15385 16240 17000 17255 17560 18100 19720 20272 20300 20996 21539 21950 22625 23800 24584 24616 24650 25340 25375 25462 26245 27608 29000 29750 29852 30730 30770 31675 34000 34510 35120 36200 36743 37315 39440 40600 41992 43078 43900 45250 47600 49168 49232 49300 50680 50750 50924 52241 52490 54875 55216 58000 59500 59704 61460 61540 61625 63350 63655 69020 72400 73486 74630 76825 76913 76925 79459 81200 83984 86156 86275 87800 89117 89233 90500 98600 101360 101500 101848 104482 104980 107695 109750 119000 119408 122920 123080 123250 126700 127310 131225 138040 146972 149260 153650 153826 153850 158375 158918 172312 172550 175600 178234 178466 181000 183715 186575 197200 203000 203696 208964 209960 215390 216427 219500 238000 245840 246160 246500 253400 254620 261205 262450 276080 293944 298520 307300 307652 307700 316750 317836 318275 344624 345100 356468 356932 362000 367430 373150 384125 384565 384625 397295 406000 417928 419920 430780 431375 432854 439000 445585 446165 493000 506800 509240 522410 524900 538391 538475 556213 587888 597040 614600 615304 615400 624631 633500 635672 636550 656125 690200 712936 713864 734860 746300 768250 769130 769250 794590 835856 861560 862750 865708 878000 891170 892330 918575 932875 986000 1018480 1044820 1049800 1076782 1076950 1082135 1112426 1229200 1230608 1230800 1249262 1267000 1271344 1273100 1306025 1307521 1312250 1350803 1380400 1425872 1427728 1469720 1492600 1514989 1536500 1538260 1538500 1589180 1591375 1723120 1725500 1731416 1782340 1784660 1837150 1865750 1922825 1986475 2089640 2099600 2153564 2153900 2164270 2224852 2227925 2230477 2230825 2304311 2498524 2534000 2546200 2612050 2615042 2624500 2691955 2692375 2701606 2781065 2939440 2985200 3029978 3073000 3076520 3077000 3123155 3178360 3182750 3451000 3462832 3564680 3569320 3674300 3731500 3845650 3972950 4179280 4307128 4307800 4328540 4449704 4455850 4460954 4461650 4592875 4608622 4997048 5092400 5224100 5230084 5249000 5383910 5384750 5403212 5410675 5562130 6059956 6146000 6153040 6154000 6246310 6356720 6365500 6530125 6537605 6754015 6902000 7129360 7138640 7348600 7463000 7574945 7691300 7945900 8614256 8615600 8657080 8899408 8911700 8921908 8923300 9152647 9185750 9217244 9455621 9614125 9932375 9994096 10448200 10460168 10498000 10767820 10769500 10806424 10821350 11124260 11139625 11152385 11154125 11521555 12119912 12492620 12731000 13060250 13075210 13459775 13508030 13905325 13921253 14697200 14926000 15149890 15382600 15613339 15615775 15891800 16130177 17314160 17823400 17843816 17846600 18305294 18371500 18434488 18911242 19228250 19864750 20896400 20920336 21535640 21539000 21612848 21642700 22248520 22279250 22304770 22308250 23043110 24239824 24985240 25462000 26120500 26150420 26919550 27016060 27053375 27810650 27842506 30299780 30765200 31226678 31231550 31783600 32260354 32688025 33764807 33770075 35646800 35687632 35693200 36610588 36743000 36868976 37822484 37874725 37918109 38456500 39173287 39729500 43071280 43078000 43285400 44497040 44558500 44609540 44616500 45763235 46086220 47278105 49970480 52241000 52300840 53839100 54032120 54106750 55621300 55685012 55761925 57607775 60599560 62453356 62463100 64520708 65376050 67298875 67529614 67540150 69526625 69606265 73221176 73486000 75644968 75749450 75836218 76913000 78066695 78078875 78346574 79459000 80650885 86570800 89117000 89219080 89233000 91526470 92172440 94556210 97448771 104482000 104601680 107678200 108064240 108213500 111242600 111370024 111523850 115215550 121199120 124906712 124926200 129041416 130752100 134597750 135059228 135080300 139053250 139212530 146442352 151289936 151498900 151672436 153826000 156133390 156157750 156693148 158918000 161301770 163440125 168824035 168850375 178234000 178438160 178466000 183052940 184344880 189112420 189373625 189590545 194897542 195866435 215356400 216427000 222485200 222740048 223047700 228816175 230431100 236353649 236390525 236661301 249813424 249852400 258082832 261504200 265426763 269195500 270118456 270160600 274213009 278106500 278425060 278809625 288038875 302997800 303344872 312266780 312315500 313386296 322603540 326880250 337648070 337700750 348031325 366105880 378224840 378747250 379181090 389795084 390333475 391732870 403254425 403716337 432854000 446095400 457632350 460862200 472707298 472781050 473322602 487243855 523008400 530853526 538391000 540236912 540321200 548426018 556213000 556850120 557619250 574001719 576077750 605995600 606689744 624533560 624631000 626772592 645207080 653760500 675296140 675401500 696062650 732211760 756449680 757494500 758362180 779590168 780666950 783465740 806508850 807432674 844120175 892190800 915264700 921724400 945414596 945562100 946645204 947952725 974487710 979179403 979332175 1061707052 1076782000 1096852036 1112426000 1113700240 1115238500 1144080875 1148003438 1152155500 1181768245 1181952625 1183306505 1249067120 1249262000 1290414160 1307521000 1327133815 1350592280 1350803000 1371065045 1392125300 1514989000 1516724360 1559180336 1561333900 1566931480 1613017700 1614865348 1656629107 1688240350 1740156625 1830529400 1890829192 1891124200 1893290408 1895905450 1948975420 1951667375 1958358806 1958664350 2016272125 2018581685 2123414104 2193704072 2230477000 2288161750 2296006876 2304311000 2363536490 2363905250 2366613010 2436219275 2615042000 2654267630 2701184560 2701606000 2742130090 2784250600 2826014359 2870008595 3029978000 3033448720 3122667800 3133862960 3226035400 3229730696 3313258214 3376480700 3480313250 3661058800 3781658384 3782248400 3786580816 3791810900 3897950840 3903334750 3916717612 3917328700 4018012033 4032544250 4037163370 4220600875 4246828208 4387408144 4460954000 4576323500 4592013752 4608622000 4727072980 4727810500 4733226020 4739763625 4872438550 4895897015 4896660875 5308535260 5484260180 5568501200 5652028718 5740017190 5908841225 5916532525 6111430067 6245335600 6452070800 6459461392 6626516428 6635669075 6752961400 6854255821 6855325225 6863177729 6960626500 7583621800 7795901680 7806669500 7833435224 7834657400 8036024066 8065088500 8074326740 8283145535 8441201750 9152647000 9184027504 9454145960 9455621000 9466452040 9479527250 9744877100 9791794030 9793321750 10092908425 10617070520 10968520360 11304057436 11480034380 11817682450 11833065050 12181096375 12222860134 13253032856 13271338150 13505922800 13708511642 13710650450 13726355458 13921253000 14130071795 14350042975 15167243600 15613339000 15666870448 15669314800 16072048132 16130177000 16148653480 16566291070 16646049851 16882403500 18305294000 18908291920 18911242000 18932904080 18959054500 19489754200 19583588060 19586643500 20090060165 20185816850 21234141040 21937040720 22608114872 22960068760 23635364900 23666130100 24362192750 24445720268 24479485075 26506065712 26542676300 27417023284 27421300900 27452710916 27842506000 28260143590 28700085950 29544206125 29582662625 30557150335 31226678000 32144096264 32260354000 32297306960 33132582140 33178345375 33292099702 33764807000 34271279105 34276626125 34315888645 37918109000 38979508400 39167176120 39173287000 40180120330 40371633700 41415727675 42780010469 45216229744 45920137520 47270729800 47332260200 48042244103 48724385500 48891440536 48958970150 50464542125 53085352600 54834046568 54842601800 54905421832 56520287180 57400171900 59088412250 59165325250 61114300670 64288192528 66265164280 66356690750 66584199404 67529614000 68542558210 68553252250 68631777290 70650358975 71750214875 75836218000 78334352240 78346574000 80360240660 80743267400 82831455350 83230249255 85560020938 94541459600 94664520400 96084488206 97448771000 97782881072 97917940300 100450300825 100929084250 103894311139 106170705200 109668093136 109685203600 109810843664 113040574360 114800343800 116522348957 118176824500 118330650500 122228601340 122397425375 132530328560 132713381500 133168398808 137085116420 137106504500 137263554580 141300717950 143500429750 152785751675 160720481320 161486534800 165662910700 166460498510 171120041876 171356395525 171579443225 177231471943 192168976412 194897542000 195835880600 200900601650 201858168500 207078638375 207788622278 213900052345 226081148720 229600687600 233044697914 236353649000 236661301000 240211220515 244457202680 244794850750 265426763000 266336797616 274170232840 274213009000 274527109160 282601435900 287000859500 305571503350 321440962640 331325821400 332920997020 342240083752 342712791050 343158886450 353251794875 354462943886 384337952824 391671761200 401801203300 403716337000 414157276750 415577244556 416151246275 427800104690 466089395828 472707298000 473322602000 480422441030 488914405360 489589701500 502251504125 519471555695 530853526000 548340465680 548426018000 549054218320 565202871800 574001719000 582611744785 611143006700 662651642800 665841994040 684480167504 685425582100 686317772900 706503589750 708925887772 727260177973 763928758375 768675905648 803602406600 807432674000 828314553500 831154489112 832302492550 855600209380 856781977625 857897216125 886157359715 932178791656 960844882060 979179403000 1004503008250 1038943111390 1069500261725 1130405743600 1148003438000 1165223489570 1201056102575 1222286013400 1240620303601 1331683988080 1370851164200 1372635545800 1413007179500 1417851775544 1454520355946 1527857516750 1607204813200 1656629107000 1662308978224 1664604985100 1711200418760 1713563955250 1715794432250 1772314719430 1864357583312 1921689764120 1958358806000 2009006016500 2077886222780 2080756231375 2139000523450 2330446979140 2402112205150 2444572026800 2481240607202 2597357778475 2741702328400 2745271091600 2826014359000 2835703551088 2909040711892 2913058723925 3012935023031 3055715033500 3313258214000 3329209970200 3422400837520 3427127910500 3431588864500 3544629438860 3636300889865 3843379528240 4018012033000 4155772445560 4161512462750 4278001046900 4430786798575 4660893958280 4804224410300 4962481214404 5194715556950 5347501308625 5652028718000 5818081423784 5826117447850 6005280512875 6025870046062 6111430067000 6203101518005 6658419940400 6854255821000 6863177729000 7089258877720 7272601779730 8036024066000 8311544891120 8323024925500 8556002093800 8861573597150 9321787916560 9608448820600 9924962428808 10389431113900 10695002617250 11636162847568 11652234895700 12010561025750 12051740092124 12222860134000 12406203036010 12986788892375 13708511642000 13726355458000 14178517755440 14545203559460 14565293619625 15064675115155 16646049851000 17112004187600 17723147194300 18181504449325 19216897641200 19849924857616 20778862227800 21090545161217 21390005234500 22153933992875 23304469791400 24021122051500 24103480184248 24812406072020 25973577784750 29090407118920 29130587239250 30129350230310 31015507590025 33292099702000 35446294388600 36363008898650 41557724455600 42181090322434 42780010469000 44307867985750 46608939582800 48042244103000 48206960368496 49624812144040 51947155569500 58180814237840 58261174478500 60258700460620 62031015180050 70892588777200 72726017797300 75323375575775 84362180644868 85560020938000 88615735971500 90907522246625 96084488206000 99249624288080 103894311139000 105452725806085 116522348957000 120517400921240 124062030360100 145452035594600 150646751151550 155077537950125 168724361289736 177231471943000 181815044493250 207788622278000 210905451612170 233044697914000 241034801842480 248124060720200 290904071189200 301293502303100 310155075900250 337448722579472 354462943886000 363630088986500 376616877878875 421810903224340 496248121440400 527263629030425 602587004606200 620310151800500 727260177973000 753233755757750 843621806448680 1054527258060850 1205174009212400 1240620303601000 1454520355946000 1506467511515500 1687243612897360 2109054516121700 2481240607202000 2636318145152125 3012935023031000 4218109032243400 5272636290304250 6025870046062000 8436218064486800 10545272580608500 21090545161217000 42181090322434000
• Sum of all divisors σ(n): 128676577571942400
• Sum of proper divisors (its aliquot sum) s(n): 86495487249508400
• 42181090322434000 is an abundant number, because the sum of its proper divisors (86495487249508400) is greater than itself. Its abundance is 44314396927074400

Bases of 42181090322434000

• Binary: 10010101110110110111101001101000111010000100011111010000₂
• Hexadecimal: 0x95DB7A68E847D0
• Base-36: BJBY5DQHYOG

Squares and roots of 42181090322434000

• 42181090322434000 squared (42181090322434000²) is 1779244380789335250083684356000000
• 42181090322434000 cubed (42181090322434000³) is 75050467931758103899380919377510721642504000000000
• The square root of 42181090322434000 is 205380355.2495564265
• The cube root of 42181090322434000 is 348101.5313537469

Scales and comparisons

• 42,181,090,322,434,000 seconds is equal to 1,341,228,197 years, 29 weeks, 6 days, 1 hour, 26 minutes, 40 seconds.
• To count from 1 to 42,181,090,322,434,000 would take you about four billion, twenty-three million, six hundred eighty-four thousand, five hundred ninety-two 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 42181090322434000 cubic inches would be around 29008.5 feet tall.

Recreational maths with 42181090322434000

• 42181090322434000 backwards is 00043422309018124
• The number of decimal digits it has is: 17
• The sum of 42181090322434000's digits is 43
• More coming soon!