2122218329212800

Names of 2122218329212800

• Cardinal: 2122218329212800 can be written as Two quadrillion, one hundred twenty-two trillion, two hundred eighteen billion, three hundred twenty-nine million, two hundred twelve thousand, eight hundred.

Scientific notation

• Scientific notation: 2.1222183292128 × 10¹⁵

Factors of 2122218329212800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 16525739

Divisors of 2122218329212800

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 49 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 98 100 104 105 112 117 120 126 128 130 140 144 147 150 156 160 168 175 180 182 192 195 196 200 208 210 224 225 234 240 245 252 260 273 280 288 294 300 312 315 320 325 336 343 350 360 364 384 390 392 400 416 420 441 448 450 455 468 480 490 504 520 525 546 560 576 585 588 600 624 630 637 640 650 672 686 700 720 728 735 780 784 800 819 832 840 882 896 900 910 936 960 975 980 1008 1029 1040 1050 1092 1120 1152 1170 1176 1200 1225 1248 1260 1274 1300 1344 1365 1372 1400 1440 1456 1470 1560 1568 1575 1600 1638 1664 1680 1715 1764 1800 1820 1872 1911 1920 1950 1960 2016 2058 2080 2100 2184 2205 2240 2275 2340 2352 2400 2450 2496 2520 2548 2600 2688 2730 2744 2800 2880 2912 2925 2940 3087 3120 3136 3150 3185 3200 3276 3360 3430 3528 3600 3640 3675 3744 3822 3900 3920 4032 4095 4116 4160 4200 4368 4410 4459 4480 4550 4680 4704 4800 4900 4992 5040 5096 5145 5200 5460 5488 5600 5733 5760 5824 5850 5880 6174 6240 6272 6300 6370 6552 6720 6825 6860 7056 7200 7280 7350 7488 7644 7800 7840 8064 8190 8232 8320 8400 8575 8736 8820 8918 9100 9360 9408 9555 9600 9800 10080 10192 10290 10400 10920 10976 11025 11200 11466 11648 11700 11760 12348 12480 12600 12740 13104 13377 13440 13650 13720 14112 14400 14560 14700 14976 15288 15435 15600 15680 15925 16380 16464 16800 17150 17472 17640 17836 18200 18720 18816 19110 19600 20160 20384 20475 20580 20800 21840 21952 22050 22295 22400 22932 23400 23520 24696 24960 25200 25480 25725 26208 26754 27300 27440 28224 28665 28800 29120 29400 30576 30870 31200 31360 31850 32760 32928 33600 34300 34944 35280 35672 36400 37440 38220 39200 40131 40320 40768 40950 41160 41600 43680 43904 44100 44590 45864 46800 47040 47775 49392 50400 50960 51450 52416 53508 54600 54880 56448 57330 58240 58800 61152 61740 62400 63700 65520 65856 66885 67200 68600 70560 71344 72800 74880 76440 77175 78400 80262 81536 81900 82320 87360 88200 89180 91728 93600 94080 95550 98784 100800 101920 102900 104832 107016 109200 109760 111475 114660 117600 122304 123480 124800 127400 131040 131712 133770 137200 141120 142688 143325 145600 152880 154350 156800 160524 163800 164640 174720 176400 178360 183456 187200 191100 197568 200655 201600 203840 205800 214032 218400 219520 222950 229320 235200 244608 246960 254800 262080 267540 274400 282240 285376 286650 291200 305760 308700 321048 327600 329280 334425 352800 356720 366912 374400 382200 395136 401310 407680 411600 428064 436800 445900 458640 470400 493920 509600 524160 535080 548800 570752 573300 611520 617400 642096 655200 658560 668850 705600 713440 733824 764400 802620 823200 856128 873600 891800 917280 987840 1003275 1019200 1070160 1097600 1146600 1223040 1234800 1284192 1310400 1337700 1411200 1426880 1528800 1605240 1646400 1712256 1783600 1834560 1975680 2006550 2038400 2140320 2293200 2469600 2568384 2620800 2675400 2853760 3057600 3210480 3292800 3567200 3669120 4013100 4280640 4586400 4939200 5136768 5350800 6115200 6420960 7134400 8026200 8561280 9172800 9878400 10701600 12841920 14268800 16052400 16525709 18345600 21403200 25683840 32104800 33051418 42806400 49577127 64209600 66102836 82628545 99154254 115679963 128419200 132205672 148731381 165257090 198308508 214834217 231359926 247885635 264411344 297462762 330514180 347039889 396617016 413142725 429668434 462719852 495771270 528822688 578399815 594925524 644502651 661028360 694079778 743656905 793234032 809759741 826285450 859336868 925439704 991542540 1041119667 1057645376 1074171085 1156799630 1189851048 1239428175 1289005302 1322056720 1388159556 1487313810 1503839519 1586468064 1619519482 1652570900 1718673736 1735199445 1850879408 1933507953 1983085080 2082239334 2115290752 2148342170 2313599260 2379702096 2429279223 2478856350 2578010604 2644113440 2776319112 2891999075 2974627620 3007679038 3172936128 3222513255 3239038964 3305141800 3437347472 3470398890 3701758816 3718284525 3867015906 3966170160 4048798705 4164478668 4296684340 4511518557 4627198520 4759404192 4858558446 4957712700 5156021208 5205598335 5288226880 5370855425 5552638224 5668318187 5783998150 5949255240 6015358076 6345872256 6445026510 6478077928 6610283600 6874694944 6940797780 7287837669 7403517632 7436569050 7519197595 7734031812 7932340320 8097597410 8328957336 8593368680 8675997225 9023037114 9254397040 9518808384 9667539765 9717116892 9915425400 10312042416 10411196670 10526876633 10576453760 10741710850 11105276448 11336636374 11567996300 11898510480 12030716152 12146396115 12890053020 12956155856 13220567200 13534555671 13749389888 13881595560 14575675338 14807035264 14873138100 15038395190 15468063624 15864680640 16112566275 16195194820 16657914672 17004954561 17186737360 17351994450 18046074228 18508794080 19037616768 19335079530 19434233784 19830850800 20243993525 20624084832 20822393340 21053753266 21483421700 22210552896 22557592785 22673272748 23135992600 23797020960 24061432304 24292792230 25780106040 25912311712 26027991675 26441134400 27069111342 27498779776 27763191120 28341590935 29151350676 29746276200 30076790380 30936127248 31580629899 31729361280 32225132550 32390389640 33315829344 34009909122 34373474720 34703988900 36092148456 36439188345 37017588160 37595987975 38670159060 38868467568 39661701600 40487987050 41248169664 41644786680 42107506532 42966843400 44421105792 45115185570 45346545496 46271985200 47594041920 48122864608 48337698825 48585584460 51014863683 51560212080 51824623424 52055983350 52634383165 52882268800 54138222684 55526382240 56683181870 58302701352 59492552400 60153580760 60731980575 61872254496 63161259798 64450265100 64780779280 66631658688 67672778355 68019818244 68746949440 69407977800 72184296912 72878376690 73688136431 74035176320 75191975950 77340318120 77736935136 79323403200 80975974100 82496339328 83289573360 84215013064 85024772805 85933686800 90230371140 90693090992 92543970400 94741889697 95188083840 96245729216 96675397650 97171168920 102029727366 103120424160 103649246848 104111966700 105268766330 108276445368 111052764480 112787963925 113366363740 116605402704 118985104800 120307161520 121463961150 123744508992 126322519596 128900530200 129561558560 133263317376 135345556710 136039636488 137493898880 138815955600 141707954675 144368593824 145756753380 147376272862 150383951900 154680636240 155473870272 157903149495 158646806400 161951948200 166579146720 168430026128 170049545610 171867373600 180460742280 181386181984 182195941725 185087940800 189483779394 192491458432 193350795300 194342337840 204059454732 206240848320 208223933400 210537532660 216552890736 221064409293 222105528960 225575927850 226732727480 233210805408 237970209600 240614323040 242927922300 247489017984 252645039192 255074318415 257801060400 259123117120 263171915825 270691113420 272079272976 277631911200 283415909350 288737187648 291513506760 294752545724 300767903800 309361272480 310947740544 315806298990 323903896400 333158293440 336860052256 338363891775 340099091220 343734747200 360921484560 362772363968 364391883450 368440682155 370175881600 378967558788 386701590600 388684675680 408118909464 412481696640 416447866800 421075065320 425123864025 433105781472 442128818586 451151855700 453465454960 466421610816 473709448485 475940419200 481228646080 485855844600 505290078384 510148636830 515602120800 518246234240 526343831650 541382226840 544158545952 555263822400 566831818700 577474375296 583027013520 589505091448 601535807600 618722544960 631612597980 647807792800 663193227879 666316586880 673720104512 676727783550 680198182440 687469494400 721842969120 725544727936 728783766900 736881364310 757935117576 773403181200 777369351360 789515747475 816237818928 832895733600 842150130640 850247728050 866211562944 884257637172 902303711400 906930909920 932843221632 947418896970 962457292160 971711689200 1010580156768 1020297273660 1031204241600 1052687663300 1082764453680 1088317091904 1105322046465 1110527644800 1133663637400 1166054027040 1179010182896 1203071615200 1237445089920 1263225195960 1275371592075 1295615585600 1326386455758 1347440209024 1353455567100 1360396364880 1443685938240 1457567533800 1473762728620 1515870235152 1546806362400 1554738702720 1579031494950 1632475637856 1665791467200 1684300261280 1700495456100 1732423125888 1768515274344 1804607422800 1813861819840 1842203410775 1894837793940 1943423378400 2021160313536 2040594547320 2062408483200 2105375326600 2165528907360 2176634183808 2210644092930 2267327274800 2332108054080 2358020365792 2368547242425 2406143230400 2526450391920 2550743184150 2591231171200 2652772911516 2706911134200 2720792729760 2887371876480 2915135067600 2947525457240 3031740470304 3093612724800 3158062989900 3264951275712 3315966139395 3331582934400 3368600522560 3400990912200 3537030548688 3609214845600 3627723639680 3684406821550 3789675587880 3886846756800 4042320627072 4081189094640 4210750653200 4331057814720 4421288185860 4534654549600 4664216108160 4716040731584 4737094484850 4812286460800 5052900783840 5101486368300 5305545823032 5413822268400 5441585459520 5526610232325 5830270135200 5895050914480 6063480940608 6187225449600 6316125979800 6529902551424 6631932278790 6737201045120 6801981824400 7074061097376 7218429691200 7368813643100 7579351175760 7773693513600 8162378189280 8421501306400 8662115629440 8842576371720 9069309099200 9432081463168 9474188969700 10105801567680 10202972736600 10611091646064 10827644536800 10883170919040 11053220464650 11660540270400 11790101828960 12126961881216 12632251959600 13263864557580 13603963648800 14148122194752 14436859382400 14737627286200 15158702351520 16324756378560 16579830696975 16843002612800 17685152743440 18138618198400 18948377939400 20211603135360 20405945473200 21222183292128 21655289073600 22106440929300 23321080540800 23580203657920 25264503919200 26527729115160 27207927297600 28296244389504 29475254572400 30317404703040 32649512757120 33159661393950 33686005225600 35370305486880 37896755878800 40811890946400 42444366584256 43310578147200 44212881858600 47160407315840 50529007838400 53055458230320 54415854595200 58950509144800 60634809406080 66319322787900 70740610973760 75793511757600 81623781892800 84888733168512 88425763717200 101058015676800 106110916460640 117901018289600 132638645575800 141481221947520 151587023515200 163247563785600 176851527434400 212221832921280 235802036579200 265277291151600 303174047030400 353703054868800 424443665842560 530554582303200 707406109737600 1061109164606400 2122218329212800
• Sum of all divisors σ(n): 9510281693640000
• Sum of proper divisors (its aliquot sum) s(n): 7388063364427200
• 2122218329212800 is an abundant number, because the sum of its proper divisors (7388063364427200) is greater than itself. Its abundance is 5265845035214400

Bases of 2122218329212800

• Binary: 111100010100010010101110101101001100000011110000000₂
• Hexadecimal: 0x78A2575A60780
• Base-36: KW9HN35R40

Squares and roots of 2122218329212800

• 2122218329212800 squared (2122218329212800²) is 4503810636846768361867683840000
• 2122218329212800 cubed (2122218329212800³) is 9558069484819785485493895625430546481152000000
• The square root of 2122218329212800 is 46067540.9503567925
• The cube root of 2122218329212800 is 128507.9573206323

Scales and comparisons

• 2,122,218,329,212,800 seconds is equal to 67,479,978 years, 21 weeks, 4 days, 16 hours.
• To count from 1 to 2,122,218,329,212,800 would take you about two hundred two million, four hundred thirty-nine thousand, nine hundred thirty-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 2122218329212800 cubic inches would be around 10709 feet tall.

Recreational maths with 2122218329212800

• 2122218329212800 backwards is 0082129238122212
• 2122218329212800 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 2122218329212800's digits is 45
• More coming soon!