12993937086154468320
12,993,937,086,154,468,320 is an even composite number composed of eight prime numbers multiplied together.
12993937086154468320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 12993937086154468320:
25 × 33 × 5 × 19 × 53 × 1093 × 19531 × 139921
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 19 × 53 × 1093 × 19531 × 139921)See below for interesting mathematical facts about the number 12993937086154468320 from the Numbermatics database.
Names of 12993937086154468320
- Cardinal: 12993937086154468320 can be written as Twelve quintillion, nine hundred ninety-three quadrillion, nine hundred thirty-seven trillion, eighty-six billion, one hundred fifty-four million, four hundred sixty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.299393708615446832 × 1019
Factors of 12993937086154468320
Divisors of 12993937086154468320
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 32 36 38 40 45 48 53 54 57 60 72 76 80 90 95 96 106 108 114 120 135 144 152 159 160 171 180 190 212 216 228 240 265 270 285 288 304 318 342 360 380 424 432 456 477 480 513 530 540 570 608 636 684 720 760 795 848 855 864 912 954 1007 1026 1060 1080 1093 1140 1272 1368 1431 1440 1520 1590 1696 1710 1824 1908 2014 2052 2120 2160 2186 2280 2385 2544 2565 2736 2862 3021 3040 3180 3279 3420 3816 4028 4104 4240 4320 4372 4560 4770 5035 5088 5130 5465 5472 5724 6042 6360 6558 6840 7155 7632 8056 8208 8480 8744 9063 9120 9540 9837 10070 10260 10930 11448 12084 12720 13116 13680 14310 15105 15264 16112 16395 16416 17488 18126 19080 19531 19674 20140 20520 20767 21860 22896 24168 25440 26232 27189 27360 28620 29511 30210 32224 32790 34976 36252 38160 39062 39348 40280 41040 41534 43720 45315 45792 48336 49185 52464 54378 57240 57929 58593 59022 60420 62301 65580 72504 76320 78124 78696 80560 82080 83068 87440 90630 96672 97655 98370 103835 104928 108756 114480 115858 117186 118044 120840 124602 131160 135945 139921 145008 147555 156248 157392 161120 166136 173787 174880 175779 181260 186903 195310 196740 207670 217512 228960 231716 234372 236088 241680 249204 262320 271890 279842 289645 290016 292965 295110 311505 312496 314784 332272 347574 351558 362520 371089 373806 390620 393480 415340 419763 435024 463432 468744 472176 483360 498408 521361 524640 527337 543780 559684 560709 579290 585930 590220 623010 624992 664544 695148 699605 703116 725040 742178 747612 781240 786960 830680 839526 868935 870048 878895 926864 934515 937488 944352 996816 1035143 1042722 1054674 1087560 1100651 1113267 1119368 1121418 1158580 1171860 1180440 1246020 1259289 1390296 1399210 1406232 1450080 1484356 1495224 1562480 1564083 1573920 1661360 1679052 1737870 1757790 1853728 1855445 1869030 1874976 1993632 2070286 2085444 2098815 2109348 2175120 2201302 2226534 2238736 2242836 2317160 2343720 2360880 2492040 2518578 2606805 2636685 2658499 2780592 2798420 2803545 2812464 2968712 2990448 3105429 3124960 3128166 3301953 3322720 3339801 3358104 3475740 3515580 3710890 3738060 3777867 4140572 4170888 4197630 4218696 4350240 4402604 4453068 4477472 4485672 4634320 4687440 4721760 4984080 5037156 5175715 5213610 5273370 5316998 5503255 5561184 5566335 5596840 5607090 5624928 5937424 5980896 6210858 6256332 6296445 6603906 6679602 6716208 6951480 7031160 7415813 7421780 7476120 7555734 7820415 7975497 8281144 8341776 8395260 8437392 8805208 8906136 8971344 9268640 9316287 9374880 9905859 9968160 10019403 10074312 10351430 10427220 10546740 10633996 11006510 11132670 11193680 11214180 11874848 12421716 12512664 12592890 13207812 13292495 13359204 13432416 13902960 14062320 14831626 14843560 14952240 15111468 15527145 15640830 15950994 16509765 16562288 16683552 16699005 16790520 16874784 17610416 17812272 17942688 18632574 18889335 19667717 19811718 20038806 20148624 20702860 20854440 21093480 21267992 21347383 22013020 22247439 22265340 22387360 22428360 23926491 24843432 25025328 25185780 26415624 26584990 26718408 27805920 27948861 28124640 29663252 29687120 29717577 29904480 30222936 31054290 31281660 31901988 33019530 33124576 33398010 33581040 35220832 35624544 37079065 37265148 37778670 39335434 39623436 39877485 40077612 40297248 41405720 41708880 42186960 42535984 42694766 44026040 44494878 44530680 44856720 46581435 47852982 49529295 49686864 50050656 50097015 50371560 52831248 53169980 53436816 55897722 59003151 59326504 59374240 59435154 60445872 62108580 62563320 63803976 64042149 66039060 66742317 66796020 67162080 71779473 74158130 74530296 75557340 78670868 79246872 79754970 80155224 82811440 83417760 84373920 85071968 85389532 88052080 88989756 89061360 89713440 93162870 95705964 98338585 99058590 99373728 100194030 100743120 105662496 106339960 106736915 106873632 111237195 111795444 118006302 118653008 118870308 119632455 120891744 124217160 125126640 127607952 128084298 132078120 133484634 133592040 139744305 140900447 143558946 148316260 148587885 149060592 151114680 152933653 157341736 158493744 159509940 160310448 165622880 170779064 176104160 177009453 177979512 178122720 186325740 191411928 192126447 196677170 198117180 200226951 200388060 201486240 212679920 213473830 222474390 223590888 236012604 237306016 237740616 239264910 248434320 250253280 255215904 256168596 264156240 266969268 267184080 279488610 281800894 287117892 295015755 296632520 297175770 298121184 302229360 305867306 314683472 316987488 319019880 320210745 320620896 333711585 341558128 354018906 355959024 358897365 372651480 382823856 384252894 393354340 396234360 400453902 400776120 405600277 422701341 425359840 426947660 444948780 447181776 458800959 472025208 475481232 478529820 496868640 512337192 528312480 531028359 533938536 534368160 558977220 563601788 574235784 576379341 590031510 593265040 594351540 604458720 611734612 629366944 638039760 640421490 667423170 683116256 704502235 708037812 711918048 717794730 745302960 764668265 765647712 768505788 786708680 792468720 800907804 801552240 811200554 845402682 853895320 885047265 889897560 894363552 917601918 944050416 950962464 957059640 960632235 1001134755 1024674384 1062056718 1067877072 1117954440 1127203576 1131411299 1148471568 1152758682 1180063020 1186530080 1188703080 1216800831 1223469224 1268104023 1276079520 1280842980 1334846340 1376402877 1409004470 1416075624 1435589460 1490605920 1529336530 1537011576 1573417360 1584937440 1601815608 1603104480 1622401108 1690805364 1707790640 1770094530 1779795120 1835203836 1888100832 1914119280 1921264470 2002269510 2028001385 2049348768 2113506705 2124113436 2135754144 2235908880 2254407152 2262822598 2294004795 2296943136 2305517364 2360126040 2377406160 2433601662 2446938448 2536208046 2561685960 2655141795 2669692680 2732797051 2752805754 2818008940 2832151248 2871178920 2881896705 2905739407 3058673060 3074023152 3146834720 3203631216 3244802216 3381610728 3394233897 3415581280 3540189060 3559590240 3650402493 3670407672 3804312069 3828238560 3842528940 4004539020 4056002770 4129208631 4227013410 4248226872 4471817760 4508814304 4525645196 4588009590 4611034728 4720252080 4754812320 4867203324 4893876896 5072416092 5123371920 5310283590 5339385360 5465594102 5505611508 5636017880 5657056495 5664302496 5742357840 5763793410 5811478814 6084004155 6117346120 6148046304 6340520115 6407262432 6489604432 6763221456 6788467794 6882014385 7080378120 7300804986 7340815344 7608624138 7685057880 8009078040 8105483609 8112005540 8198391153 8258417262 8454026820 8496453744 8717218221 9051290392 9176019180 9222069456 9440504160 9734406648 10144832184 10182701691 10246743840 10620567180 10678770720 10931188204 10951207479 11011223016 11272035760 11314112990 11484715680 11527586820 11622957628 12168008310 12234692240 12681040230 12979208864 13526442912 13576935588 13663985255 13764028770 14160756240 14528697035 14601609972 14681630688 15217248276 15370115760 16018156080 16210967218 16224011080 16396782306 16516834524 16908053640 16971169485 16992907488 17434436442 18102580784 18252012465 18352038360 18444138912 19021560345 19468813296 20289664368 20365403382 20646043155 21241134360 21496814681 21862376408 21902414958 22022446032 22544071520 22628225980 23055173640 23245915256 24316450827 24336016620 24469384480 24595173459 25362080460 26151654663 27153871176 27327970510 27528057540 28321512480 29057394070 29203219944 30434496552 30548105073 30740231520 32036312160 32421934436 32448022160 32793564612 33033669048 33816107280 33942338970 34868872884 36205161568 36504024930 36704076720 38043120690 38937626592 40527418045 40579328736 40730806764 40991955765 41292086310 42482268720 42993629362 43586091105 43724752816 43804829916 44044892064 45256451960 46110347280 46491830512 48632901654 48672033240 49190346918 50724160920 50913508455 51923143969 52303309326 54307742352 54655941020 54756037395 55056115080 58114788140 58406439888 60868993104 61096210146 64490444043 64843868872 64896044320 65587129224 66067338096 67632214560 67884677940 69737745768 72949352481 73008049860 73408153440 73785520377 76086241380 78454963989 81054836090 81461613528 81983911530 82584172620 84964537440 85987258724 87172182210 87449505632 87609659832 90512903920 92220694560 92983661024 97265803308 97344066480 98380693836 101448321840 101827016910 103846287938 104606618652 107484073405 108615484704 109311882040 109512074790 110112230160 116229576280 116812879776 121582254135 121737986208 122192420292 122975867295 128980888086 129687737744 130758273315 131174258448 132134676192 135769355880 139475491536 144838243703 145898704962 146016099720 147571040754 152172482760 152740525365 154004188571 155769431907 156909927978 162109672180 162923227056 163967823060 165168345240 171974517448 174344364420 175219319664 181025807840 193471332129 194531606616 194688132960 196761387672 202896643680 203654033820 207692575876 209213237304 214968146810 218623764080 218848057443 219024149580 220224460320 232459152560 243164508270 244384840584 245951734590 257961776172 259375475488 259615719845 261516546630 262348516896 271538711760 278950983072 289676487406 291797409924 292032199440 295142081508 304344965520 305481050730 308008377142 311538863814 313819855956 322452220215 324219344360 325846454112 327935646120 330336690480 343949034896 348688728840 350438639328 364746762405 368927601885 386942664258 389063213232 392274819945 393522775344 407308067640 415385151752 418426474608 429936293620 434514731109 437247528160 437696114886 438048299160 462012565713 464918305120 467308295721 486329016540 488769681168 491903469180 515923552344 519231439690 523033093260 543077423520 579352974812 580413996387 583594819848 584064398880 590284163016 608689931040 610962101460 616016754284 623077727628 627639711912 644904440430 648438688720 655871292240 660673380960 687898069792 697377457680 724191218515 729493524810 737855203770 770020942855 773885328516 778126426464 778847159535 784549639890 787045550688 814616135280 830770303504 836852949216 859872587240 869029462218 875392229772 876096598320 924025131426 934616591442 967356660645 972658033080 977539362336 983806938360 1031847104688 1038462879380 1046066186520 1094240287215 1158705949624 1160827992774 1167189639696 1180568326032 1221924202920 1232033508568 1246155455256 1255279423824 1289808880860 1296877377440 1303544193327 1311742584480 1386037697139 1394754915360 1401924887163 1448382437030 1458987049620 1475710407540 1540041885710 1547770657032 1557694319070 1569099279780 1629232270560 1661540607008 1719745174480 1738058924436 1750784459544 1752193196640 1848050262852 1869233182884 1934713321290 1945316066160 1967613876720 2063694209376 2076925758760 2092132373040 2172573655545 2188480574430 2310062828565 2317411899248 2321655985548 2334379279392 2336541478605 2361136652064 2443848405840 2464067017136 2492310910512 2510558847648 2579617761720 2607088386654 2751926630357 2772075394278 2803849774326 2896764874060 2902069981935 2917974099240 2951420815080 2986947176743 3080083771420 3095541314064 3115388638140 3138198559560 3439490348960 3476117848872 3501568919088 3696100525704 3738466365768 3869426642580 3890632132320 3910632579981 3935227753440 4153851517520 4158113091417 4184264746080 4345147311090 4376961148860 4620125657130 4634823798496 4643311971096 4673082957210 4887696811680 4928134034272 4984621821024 5159235523440 5214176773308 5503853260714 5544150788556 5607699548652 5793529748120 5804139963870 5835948198480 5902841630160 5973894353486 6160167542840 6191082628128 6230777276280 6276397119120 6517720966635 6930188485695 6952235697744 7003137838176 7009624435815 7392201051408 7476932731536 7738853285160 7821265159962 8255779891071 8307703035040 8316226182834 8690294622180 8753922297720 8960841530229 9240251314260 9286623942192 9346165914420 10318471046880 10428353546616 11007706521428 11088301577112 11215399097304 11587059496240 11608279927740 11671896396960 11805683260320 11947788706972 12320335085680 12461554552560 12552794238240 13035441933270 13759633151785 13860376971390 13904471395488 14019248871630 14784402102816 14934735883715 14953865463072 15477706570320 15642530319924 16511559782142 16632452365668 17380589244360 17507844595440 17921683060458 18480502628520 18573247884384 18692331828840 19553162899905 20790565457085 20856707093232 22015413042856 22176603154224 22430798194608 23174118992480 23216559855480 23895577413944 24640670171360 24767339673213 24923109105120 26070883866540 26882524590687 27519266303570 27720753942780 28038497743260 29869471767430 30955413140640 31285060639848 33023119564284 33264904731336 34761178488720 35015689190880 35843366120916 36961005257040 37384663657680 39106325799810 41278899455355 41581130914170 41713414186464 44030826085712 44353206308448 44804207651145 44861596389216 46433119710960 47791154827888 49534679346426 52141767733080 53765049181374 55038532607140 55441507885560 56076995486520 56751996358117 59738943534860 62570121279696 66046239128568 66529809462672 69522356977440 71686732241832 73922010514080 74302019019639 74769327315360 78212651599620 80647573772061 82557798910710 83162261828340 88061652171424 89608415302290 92866239421920 95582309655776 99069358692852 104283535466160 107530098362748 110077065214280 110883015771120 112153990973040 113503992716234 119477887069720 123836698366065 125140242559392 132092478257136 133059618925344 134412622953435 143373464483664 148604038039278 156425303199240 158308200367379 161295147544122 165115597821420 166324523656680 170255989074351 179216830604580 198138717385704 208567070932320 215060196725496 220154130428560 221766031542240 224307981946080 227007985432468 238955774139440 247673396732130 264184956514272 268825245906870 283759981790585 286746928967328 297208076078556 312850606398480 316616400734758 322590295088244 330231195642840 332649047313360 340511978148702 358433661209160 371510095098195 396277434771408 403237868860305 430120393450992 440308260857120 454015970864936 474924601102137 477911548278880 495346793464260 510767967223053 537650491813740 567519963581170 594416152157112 625701212796960 633232801469516 645180590176488 660462391285680 665298094626720 681023956297404 716867322418320 743020190196390 791541001836895 792554869542816 806475737720610 851279945371755 860240786901984 908031941729872 949849202204274 990693586928520 1021535934446106 1075300983627480 1135039927162340 1188832304314224 1266465602939032 1290361180352976 1320924782571360 1362047912594808 1424773803306411 1433734644836640 1486040380392780 1532303901669159 1583082003673790 1612951475441220 1702559890743510 1816063883459744 1899698404408548 1981387173857040 2043071868892212 2150601967254960 2270079854324680 2374623005510685 2377664608628448 2532931205878064 2553839836115265 2580722360705952 2724095825189616 2849547606612822 2972080760785560 3007855806980201 3064607803338318 3166164007347580 3225902950882440 3405119781487020 3799396808817096 3962774347714080 4086143737784424 4274321409919233 4301203934509920 4540159708649360 4749246011021370 5065862411756128 5107679672230530 5448191650379232 5699095213225644 5944161521571120 6015711613960402 6129215606676636 6332328014695160 6451805901764880 6810239562974040 7123869016532055 7598793617634192 7661519508345795 8172287475568848 8548642819838466 9023567420940603 9080319417298720 9498492022042740 10215359344461060 11398190426451288 11888323043142240 12031423227920804 12258431213353272 12664656029390320 12903611803529760 13620479125948080 14247738033064110 15039279034901005 15197587235268384 15323039016691590 16344574951137696 17097285639676932 18047134841881206 18996984044085480 20430718688922120 21371607049596165 22796380852902576 24062846455841608 24516862426706544 25329312058780640 27070702262821809 27240958251896160 28495476066128220 30078558069802010 30646078033383180 34194571279353864 36094269683762412 37993968088170960 40861437377844240 42743214099192330 45117837104703015 45592761705805152 48125692911683216 49033724853413088 54141404525643618 56990952132256440 60157116139604020 61292156066766360 68389142558707728 72188539367524824 75987936176341920 81212106788465427 81722874755688480 85486428198384660 90235674209406030 96251385823366432 108282809051287236 113981904264512880 120314232279208040 122584312133532720 135353511314109045 136778285117415456 144377078735049648 162424213576930854 170972856396769320 180471348418812060 216565618102574472 227963808529025760 240628464558416080 245168624267065440 270707022628218090 288754157470099296 324848427153861708 341945712793538640 360942696837624120 406060533942327135 433131236205148944 481256929116832160 541414045256436180 649696854307723416 683891425587077280 721885393675248240 812121067884654270 866262472410297888 1082828090512872360 1299393708615446832 1443770787350496480 1624242135769308540 2165656181025744720 2598787417230893664 3248484271538617080 4331312362051489440 6496968543077234160 12993937086154468320
- Sum of all divisors σ(n): 48823126661323929600
- Sum of proper divisors (its aliquot sum) s(n): 35829189575169461280
- 12993937086154468320 is an abundant number, because the sum of its proper divisors (35829189575169461280) is greater than itself. Its abundance is 22835252489014992960
Bases of 12993937086154468320
- Binary: 10110100010100111011110011101111010111100000001011101011111000002
- Hexadecimal: 0xB453BCEF5E02EBE0
- Base-36: 2QPZI9TSUTKO0
Squares and roots of 12993937086154468320
- 12993937086154468320 squared (129939370861544683202) is 168842400998940474659744091501883622400
- 12993937086154468320 cubed (129939370861544683203) is 2193927536055496882414764638736396281403602566387642368000
-
The
square root of 12993937086154468320 is 3604710402.5364462445 -
The
cube root of 12993937086154468320 is 2350969.0939662223
Scales and comparisons
How big is 12993937086154468320?- 12,993,937,086,154,468,320 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 12,993,937,086,154,468,320 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 12993937086154468320 cubic inches would be around 195914.1 feet tall.
Recreational maths with 12993937086154468320
- 12993937086154468320 backwards is 02386445168073939921
- 12993937086154468320 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 12993937086154468320's digits is 90
- More coming soon!
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"Number 12993937086154468320 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 12993937086154468320 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/12993937086154468320/
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Numbermatics. 2024. "Number 12993937086154468320 - Facts about the integer". https://numbermatics.com/n/12993937086154468320/
The information we have on file for 12993937086154468320 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 12993937086154468320, math, Factors of 12993937086154468320, curriculum, school, college, exams, university, Prime factorization of 12993937086154468320, STEM, science, technology, engineering, physics, economics, calculator, twelve quintillion, nine hundred ninety-three quadrillion, nine hundred thirty-seven trillion, eighty-six billion, one hundred fifty-four million, four hundred sixty-eight thousand, three hundred twenty.