442414345981231104

Names of 442414345981231104

• Cardinal: 442414345981231104 can be written as Four hundred forty-two quadrillion, four hundred fourteen trillion, three hundred forty-five billion, nine hundred eighty-one million, two hundred thirty-one thousand, one hundred four.

Scientific notation

• Scientific notation: 4.42414345981231104 × 10¹⁷

Factors of 442414345981231104

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 787626

Divisors of 442414345981231104

• Number of divisors d(n): 1024
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 23 24 26 31 32 39 46 48 52 62 64 69 78 92 93 96 104 124 128 138 156 184 186 192 208 248 256 276 299 312 368 372 384 403 416 496 512 552 598 617 624 713 736 744 768 806 832 897 992 1024 1104 1196 1209 1234 1248 1426 1472 1488 1536 1612 1664 1794 1851 1984 2048 2139 2208 2392 2418 2468 2496 2852 2944 2976 3072 3224 3328 3588 3702 3968 4096 4278 4416 4784 4836 4936 4992 5704 5888 5952 6144 6448 6656 7176 7404 7936 8021 8192 8556 8832 9269 9568 9672 9872 9984 11408 11776 11904 12288 12896 13312 14191 14352 14808 15872 16042 16384 17112 17664 18538 19127 19136 19344 19744 19968 22816 23552 23808 24063 24576 25792 26624 27807 28382 28704 29616 31744 32084 32768 34224 35328 37076 38254 38272 38688 39488 39936 42573 45632 47104 47616 48126 49152 51584 53248 55614 56764 57381 57408 59232 63488 64168 68448 70656 74152 76508 76544 77376 78976 79872 85146 91264 94208 95232 96252 98304 103168 106496 111228 113528 114762 114816 118464 126976 128336 136896 141312 148304 153016 153088 154752 157952 159744 170292 182528 184483 188416 190464 192504 206336 212992 222456 227056 229524 229632 236928 248651 253952 256672 273792 282624 296608 306032 306176 309504 315904 319488 340584 365056 368966 376832 380928 385008 412672 425984 439921 444912 454112 459048 459264 473856 497302 507904 513344 547584 553449 565248 593216 612064 612352 619008 631808 638976 681168 730112 737932 745953 753664 761856 770016 786937 825344 879842 889824 908224 918096 918528 947712 994604 1015808 1026688 1095168 1106898 1130496 1186432 1224128 1224704 1238016 1263616 1277952 1319763 1362336 1460224 1475864 1491906 1523712 1540032 1573874 1650688 1759684 1779648 1816448 1836192 1837056 1895424 1989208 2053376 2190336 2213796 2260992 2360811 2372864 2448256 2449408 2476032 2527232 2639526 2724672 2920448 2951728 2983812 3047424 3080064 3147748 3301376 3519368 3559296 3632896 3672384 3674112 3790848 3978416 4106752 4380672 4427592 4721622 4745728 4896512 4898816 4952064 5054464 5279052 5449344 5718973 5840896 5903456 5967624 6160128 6295496 6602752 7038736 7118592 7265792 7344768 7348224 7581696 7956832 8213504 8761344 8855184 9443244 9491456 9793024 9797632 9904128 10108928 10230181 10558104 10898688 11437946 11681792 11806912 11935248 12320256 12590992 13205504 14077472 14237184 14531584 14689536 14696448 15163392 15913664 16427008 17156919 17522688 17710368 18099551 18886488 18982912 19586048 19808256 20217856 20460362 21116208 21797376 22875892 23363584 23613824 23870496 24395047 24640512 25181984 28154944 28474368 29063168 29379072 29392896 30326784 30690543 31827328 32854016 34313838 35045376 35420736 36199102 37772976 37965824 39172096 39616512 40920724 42232416 43594752 45751784 47227648 47740992 48790094 49281024 50363968 54298653 56309888 56948736 58126336 58758144 60653568 61381086 63654656 65708032 68627676 70090752 70841472 72398204 73185141 75545952 75931648 78344192 81841448 84464832 87189504 91503568 94455296 95481984 97580188 98562048 100727936 108597306 112619776 113897472 116252672 117516288 122762172 127309312 131416064 137255352 141682944 144796408 146370282 151091904 151863296 156688384 163682896 168929664 174379008 183007136 188910592 190963968 195160376 197124096 201455872 217194612 225239552 227794944 232505344 235032576 235294163 245524344 254618624 262832128 274510704 283365888 289592816 292740564 302183808 303726592 313376768 317135611 327365792 337859328 348758016 366014272 377821184 381927936 390320752 394248192 402911744 434389224 450479104 455589888 465010688 470065152 470588326 485540129 491048688 509237248 549021408 561086081 566731776 579185632 585481128 604367616 626753536 634271222 654731584 675718656 697516032 705882489 732028544 755642368 763855872 780641504 788496384 805823488 868778448 900958208 911179776 940130304 941176652 951406833 971080258 982097376 1018474496 1098042816 1122172162 1133463552 1158371264 1170962256 1208735232 1268542444 1309463168 1351437312 1395032064 1411764978 1456620387 1464057088 1511284736 1527711744 1561283008 1611646976 1683258243 1737556896 1801916416 1880260608 1882353304 1902813666 1942160516 1964194752 2036948992 2196085632 2244344324 2266927104 2316742528 2341924512 2417470464 2537084888 2618926336 2702874624 2823529956 2913240774 2928114176 3022569472 3055423488 3122566016 3223293952 3366516486 3475113792 3603832832 3764706608 3805627332 3884321032 3928389504 4073897984 4392171264 4488688648 4533854208 4633485056 4683849024 4834940928 5074169776 5237852672 5405749248 5647059912 5826481548 5856228352 6045138944 6110846976 6245132032 6312021677 6446587904 6733032972 6950227584 7207665664 7294119053 7529413216 7611254664 7768642064 7856779008 8147795968 8784342528 8977377296 9067708416 9266970112 9367698048 9669881856 10148339552 10475705344 10811498496 11167422967 11294119824 11652963096 11712456704 12221693952 12490264064 12624043354 12893175808 13466065944 13900455168 14415331328 14588238106 15051743999 15058826432 15222509328 15537284128 15713558016 17568685056 17954754592 18135416832 18533940224 18735396096 18936065031 19339763712 20296679104 20951410688 21622996992 21882357159 22334845934 22588239648 23305926192 23424913408 24443387904 24980528128 25248086708 25786351616 26932131888 27800910336 29176476212 30103487998 30117652864 30445018656 31074568256 31427116032 33502268901 35137370112 35909509184 37067880448 37470792192 37872130062 38679527424 40593358208 41902821376 43245993984 43764714318 44669691868 45155231997 45176479296 46611852384 46849826816 49961056256 50496173416 53864263776 55601820672 58352952424 60206975996 60235305728 60890037312 62149136512 62854232064 67004537802 70274740224 71819018368 74135760896 74941584384 75744260124 77359054848 81186716416 83805642752 87529428636 89339383736 90310463994 90352958592 93223704768 93699653632 99922112512 100992346832 107728527552 111203641344 116705904848 120413951992 120470611456 121780074624 124298273024 125708464128 134009075604 140549480448 143638036736 145176498571 148271521792 149883168768 151488520248 162373432832 167611285504 175058857272 178678767472 180620927988 180705917184 186447409536 187399307264 195672671987 199844225024 201984693664 215457055104 222407282688 233411809696 240827903984 240941222912 243560149248 248596546048 251416928256 268018151208 281098960896 287276073472 290352997142 296543043584 299766337536 302977040496 324746865664 335222571008 346190111977 350117714544 357357534944 361241855976 361411834368 372894819072 391345343974 399688450048 403969387328 430914110208 435529495713 444814565376 466823619392 481655807968 481882445824 487120298496 497193092096 502833856512 536036302416 562197921792 574552146944 580705994284 587018015961 593086087168 599532675072 605954080992 649493731328 692380223954 700235429088 714715069888 722483711952 722823668736 745789638144 782690687948 799376900096 807938774656 861828220416 871058991426 889629130752 933647238784 963311615936 963764891648 974240596992 994386184192 1005667713024 1038570335931 1072072604832 1149104293888 1161411988568 1174036031922 1199065350144 1211908161984 1298987462656 1384760447908 1400470858176 1429430139776 1444967423904 1445647337472 1491579276288 1565381375896 1615877549312 1723656440832 1742117982852 1779258261504 1867294477568 1926623231872 1927529783296 1948481193984 1988772368384 2077140671862 2144145209664 2298208587776 2322823977136 2348072063844 2398130700288 2423816323968 2597974925312 2769520895816 2800941716352 2858860279552 2889934847808 2891294674944 2983158552576 3130762751792 3231755098624 3447312881664 3484235965704 3734588955136 3853246463744 3855059566592 3896962387968 3977544736768 4154281343724 4288290419328 4500471455701 4596417175552 4645647954272 4696144127688 4847632647936 5195949850624 5539041791632 5601883432704 5717720559104 5779869695616 5782589349888 5966317105152 6261525503584 6463510197248 6894625763328 6968471931408 7469177910272 7706492927488 7710119133184 7793924775936 7955089473536 8308562687448 8576580838656 9000942911402 9192834351104 9291295908544 9392288255376 9695265295872 10391899701248 11078083583264 11203766865408 11435441118208 11559739391232 11565178699776 11932634210304 12523051007168 12927020394496 13501414367103 13789251526656 13936943862816 14938355820544 15412985854976 15587849551872 15910178947072 16617125374896 17153161677312 18001885822804 18385668702208 18582591817088 18784576510752 19390530591744 22156167166528 22407533730816 22870882236416 23119478782464 23130357399552 23865268420608 25046102014336 25854040788992 27002828734206 27578503053312 27873887725632 29876711641088 30825971709952 31175699103744 33234250749792 34306323354624 36003771645608 37165183634176 37569153021504 38781061183488 44312334333056 44815067461632 45741764472832 46238957564928 47730536841216 50092204028672 51708081577984 54005657468412 55157006106624 55747775451264 59753423282176 61651943419904 66468501499584 68612646709248 72007543291216 74330367268352 75138306043008 77562122366976 88624668666112 89630134923264 91483528945664 92477915129856 100184408057344 103416163155968 108011314936824 111495550902528 119506846564352 123303886839808 132937002999168 137225293418496 144015086582432 148660734536704 150276612086016 155124244733952 177249337332224 179260269846528 182967057891328 184955830259712 200368816114688 206832326311936 216022629873648 222991101805056 239013693128704 246607773679616 265874005998336 274450586836992 288030173164864 297321469073408 300553224172032 310248489467904 354498674664448 358520539693056 365934115782656 369911660519424 400737632229376 432045259747296 445982203610112 493215547359232 531748011996672 548901173673984 576060346329728 594642938146816 601106448344064 620496978935808 708997349328896 717041079386112 739823321038848 801475264458752 864090519494592 891964407220224 1063496023993344 1097802347347968 1152120692659456 1189285876293632 1202212896688128 1417994698657792 1479646642077696 1602950528917504 1728181038989184 1783928814440448 2126992047986688 2304241385318912 2378571752587264 2404425793376256 2835989397315584 3205901057835008 3456362077978368 3567857628880896 4253984095973376 4608482770637824 4757143505174528 4808851586752512 5671978794631168 6411802115670016 6912724155956736 7135715257761792 8507968191946752 9216965541275648 9617703173505024 11343957589262336 13825448311913472 14271430515523584 17015936383893504 18433931082551296 19235406347010048 27650896623826944 34031872767787008 36867862165102592 55301793247653888 73735724330205184 110603586495307776 147471448660410368 221207172990615552 442414345981231104
• Sum of all divisors σ(n): 1370728817028587520
• Sum of proper divisors (its aliquot sum) s(n): 928314471047356416
• 442414345981231104 is an abundant number, because the sum of its proper divisors (928314471047356416) is greater than itself. Its abundance is 485900125066125312

Bases of 442414345981231104

• Binary: 11000100011110001011000000011101111101111111000000000000000₂
• Hexadecimal: 0x623C580EFBF8000
• Base-36: 3D06SOR1BCAO

Squares and roots of 442414345981231104

• 442414345981231104 squared (442414345981231104²) is 195730453530000458302388239457058816
• 442414345981231104 cubed (442414345981231104³) is 86593960587084899613213951715656209746181702616612864
• The square root of 442414345981231104 is 665142350.1636556475
• The cube root of 442414345981231104 is 761979.1134119895

Scales and comparisons

• 442,414,345,981,231,104 seconds is equal to 14,067,407,724 years, 40 weeks, 3 days, 19 hours, 18 minutes, 24 seconds.
• To count from 1 to 442,414,345,981,231,104 would take you about forty-two billion, two hundred two million, two hundred twenty-three thousand, one hundred seventy-four 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 442414345981231104 cubic inches would be around 63498.3 feet tall.

Recreational maths with 442414345981231104

• 442414345981231104 backwards is 401132189543414244
• The number of decimal digits it has is: 18
• The sum of 442414345981231104's digits is 60
• More coming soon!