13248068686972800
13,248,068,686,972,800 is an even composite number composed of seven prime numbers multiplied together.
13248068686972800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13248068686972800:
27 × 3 × 52 × 29 × 61 × 653 × 10932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 61 × 653 × 1093 × 1093)See below for interesting mathematical facts about the number 13248068686972800 from the Numbermatics database.
Names of 13248068686972800
- Cardinal: 13248068686972800 can be written as Thirteen quadrillion, two hundred forty-eight trillion, sixty-eight billion, six hundred eighty-six million, nine hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.32480686869728 × 1016
Factors of 13248068686972800
Divisors of 13248068686972800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 61 64 75 80 87 96 100 116 120 122 128 145 150 160 174 183 192 200 232 240 244 290 300 305 320 348 366 384 400 435 464 480 488 580 600 610 640 653 696 725 732 800 870 915 928 960 976 1093 1160 1200 1220 1306 1392 1450 1464 1525 1600 1740 1769 1830 1856 1920 1952 1959 2175 2186 2320 2400 2440 2612 2784 2900 2928 3050 3200 3265 3279 3480 3538 3660 3712 3904 3918 4350 4372 4575 4640 4800 4880 5224 5307 5465 5568 5800 5856 6100 6530 6558 6960 7076 7320 7808 7836 8700 8744 8845 9150 9280 9600 9760 9795 10448 10614 10930 11136 11600 11712 12200 13060 13116 13920 14152 14640 15672 16325 16395 17400 17488 17690 18300 18560 18937 19520 19590 20896 21228 21860 23200 23424 24400 26120 26232 26535 27325 27840 28304 29280 31344 31697 32650 32790 34800 34976 35380 36600 37874 39040 39180 39833 41792 42456 43720 44225 46400 48800 48975 52240 52464 53070 54650 55680 56608 56811 58560 62688 63394 65300 65580 66673 69600 69952 70760 73200 75748 78360 79666 81975 83584 84912 87440 88450 92800 94685 95091 97600 97950 104480 104928 106140 109300 113216 113622 117120 119499 125376 126788 130600 131160 132675 133346 139200 139904 141520 146400 151496 156720 158485 159332 163950 169824 174880 176900 189370 190182 195200 195900 199165 200019 208960 209856 212280 218600 226432 227244 238998 250752 253576 261200 262320 265350 266692 278400 283040 284055 292800 302992 313440 316970 318664 327900 333365 339648 349760 353800 378740 380364 391800 398330 400038 417920 419712 424560 437200 454488 473425 475455 477996 507152 522400 524640 530700 533384 566080 568110 585600 597495 605984 626880 633940 637328 655800 666730 679296 699520 707600 713729 757480 760728 783600 792425 796660 800076 849120 874400 908976 946850 950910 955992 995825 1000095 1014304 1044800 1049280 1061400 1066768 1132160 1136220 1155157 1194649 1194990 1211968 1253760 1267880 1274656 1311600 1333460 1415200 1420275 1427458 1514960 1521456 1567200 1584850 1593320 1600152 1666825 1698240 1748800 1817952 1893700 1901820 1911984 1933517 1991650 2000190 2028608 2089600 2098560 2122800 2133536 2141187 2272440 2310314 2377275 2389298 2389980 2423936 2535760 2549312 2623200 2666920 2830400 2840550 2854916 2987475 3029920 3042912 3134400 3169700 3186640 3200304 3333650 3396480 3465471 3497600 3568645 3583947 3635904 3787400 3803640 3823968 3867034 3983300 4000380 4057216 4245600 4267072 4282374 4544880 4620628 4754550 4778596 4779960 5000475 5071520 5098624 5246400 5333840 5660800 5681100 5709832 5775785 5800551 5973245 5974950 6059840 6085824 6268800 6339400 6373280 6400608 6667300 6930942 7137290 7167894 7271808 7574800 7607280 7647936 7734068 7966600 8000760 8491200 8534144 8564748 9089760 9241256 9509100 9557192 9559920 9667585 10000950 10143040 10492800 10667680 10705935 11362200 11419664 11551570 11601102 11946490 11949900 12119680 12171648 12678800 12746560 12801216 13334600 13861884 14274580 14335788 15149600 15214560 15295872 15468136 15933200 16001520 16982400 17129496 17327355 17843225 17919735 18179520 18482512 19018200 19114384 19119840 19335170 20001900 20286080 20698141 21335360 21411870 22724400 22839328 23103140 23202204 23892980 23899800 25357600 25493120 25602432 26669200 27723768 28549160 28671576 28878925 29002755 29866225 30299200 30429120 30936272 31866400 32003040 34258992 34644821 34654710 35686450 35839470 36359040 36965024 38036400 38228768 38239680 38670340 40003800 41396282 42670720 42823740 43537469 45448800 45678656 46206280 46404408 47785960 47799600 48337925 50715200 53338400 53529675 55447536 57098320 57343152 57757850 58005510 59732450 60598400 60858240 61872544 62094423 63732800 64006080 68517984 69289642 69309420 71372900 71678940 72873589 73930048 76072800 76457536 76479360 77340680 80007600 82792564 85647480 86636775 87074938 89598675 90897600 91357312 92412560 92808816 95571920 95599200 96675850 101430400 103490705 103934463 106676800 107059350 110895072 114196640 114686304 115515700 116011020 119464900 123745088 124188846 127465600 128012160 130612407 137035968 138579284 138618840 142745800 143357880 145013775 145747178 147860096 152145600 152915072 154681360 160015200 165585128 171294960 173224105 173273550 174149876 179197350 181795200 184825120 185617632 191143840 191198400 193351700 206981410 207868926 213353600 214118700 217687345 218620767 221790144 228393280 229372608 231031400 232022040 238929800 247490176 248377692 261224814 274071936 277158568 277237680 285491600 286715760 290027550 291494356 304291200 309362720 310472115 320030400 331170256 342589920 346448210 346547100 348299752 358394700 364367945 369650240 371235264 382287680 382396800 386703400 413962820 415737852 428237400 435374690 437241534 443580288 456786560 458745216 462062800 464044080 477859600 496755384 517453525 519672315 522449628 554317136 554475360 570983200 573431520 580055100 582988712 618725440 620944230 640060800 653062035 662340512 685179840 692896420 693094200 696599504 716789400 728735890 739300480 742470528 764575360 773406800 780105797 827925640 831475704 856474800 866120525 870749380 874483068 924125600 928088160 955719200 993510768 1034907050 1039344630 1044899256 1088436725 1093103835 1108634272 1108950720 1141966400 1146863040 1160110200 1165977424 1237450880 1241888460 1262586601 1306124070 1324681024 1370359680 1385792840 1386188400 1393199008 1433578800 1457471780 1546813600 1552360575 1560211594 1655851280 1662951408 1712949600 1732241050 1741498760 1748966136 1821839725 1848251200 1856176320 1911438400 1987021536 2069814100 2078689260 2089798512 2113334081 2176873450 2186207670 2217268544 2217901440 2283932800 2293726080 2320220400 2331954848 2340317391 2483776920 2525173202 2598361575 2612248140 2649362048 2771585680 2772376800 2786398016 2867157600 2914943560 3093627200 3104721150 3120423188 3265310175 3311702560 3325902816 3425899200 3464482100 3482997520 3497932272 3643679450 3696502400 3712352640 3787759803 3822876800 3900528985 3974043072 4139628200 4157378520 4179597024 4226668162 4353746900 4372415340 4434537088 4640440800 4663909696 4680634782 4967553840 5050346404 5196723150 5224496280 5465519175 5543171360 5544753600 5572796032 5734315200 5829887120 6187254400 6209442300 6240846376 6312933005 6340002243 6530620350 6623405120 6651805632 6851798400 6928964200 6965995040 6995864544 7287358900 7575519606 7801057970 7948086144 8279256400 8314757040 8359194048 8453336324 8707493800 8744830680 9280881600 9327819392 9361269564 9935107680 10100692808 10393446300 10448992560 10566670405 10931038350 11086342720 11089507200 11468630400 11659774240 11701586955 12418884600 12481692752 12625866010 12680004486 13061240700 13246810240 13303611264 13857928400 13931990080 13991729088 14574717800 15151039212 15602115940 16558512800 16629514080 16718388096 16906672648 17414987600 17489661360 18561763200 18722539128 18938799015 19502644925 19870215360 20201385616 20786892600 20897985120 21133340810 21862076700 22172685440 22623068113 23319548480 23403173910 24837769200 24963385504 25251732020 25360008972 26122481400 27715856800 27863980160 27983458176 29149435600 30302078424 31204231880 31564665025 31700011215 33117025600 33259028160 33813345296 34829975200 34979322720 37445078256 37877598030 39005289850 39740430720 40402771232 41573785200 41795970240 42266681620 43724153400 45246136226 46639096960 46806347820 47586453617 49675538400 49926771008 50503464040 50720017944 52244962800 52833352025 55431713600 58298871200 58507934775 60604156848 62408463760 63129330050 63400022430 66234051200 66518056320 67626690592 67869204339 69659950400 69958645440 74890156512 75755196060 78010579700 80805542464 83147570400 83591940480 84533363240 87448306800 90492272452 93612695640 94693995075 95172907234 99351076800 99853542016 101006928080 101440035888 104489925600 105666704050 110863427200 113115340565 116597742400 117015869550 121208313696 124816927520 126258660100 126800044860 135253381184 135738408678 139319900800 139917290880 142759360851 149780313024 151510392120 156021159400 158500056075 161611084928 166295140800 169066726480 174896613600 180984544904 187225391280 189387990150 190345814468 198702153600 202013856160 202880071776 208979851200 211333408100 226230681130 233195484800 234031739100 237932268085 242416627392 249633855040 252517320200 253600089720 270506762368 271476817356 285518721702 299560626048 303020784240 312042318800 317000112150 332590281600 338133452960 339346021695 349793227200 361969089808 374450782560 378775980300 380691628936 404027712320 405760143552 417959702400 422666816200 452461362260 468063478200 475864536170 484833254784 499267710080 505034640400 507200179440 542953634712 565576702825 571037443404 606041568480 624084637600 634000224300 676266905920 678692043390 699586454400 713796804255 723938179616 748901565120 757551960600 761383257872 808055424640 811520287104 845333632400 904922724520 936126956400 951729072340 1010069280800 1014400358880 1085907269424 1131153405650 1142074886808 1189661340425 1212083136960 1248169275200 1268000448600 1352533811840 1357384086780 1380007154893 1427593608510 1447876359232 1497803130240 1515103921200 1522766515744 1690667264800 1696730108475 1809845449040 1872253912800 1903458144680 2020138561600 2028800717760 2171814538848 2262306811300 2284149773616 2379322680850 2424166273920 2496338550400 2536000897200 2714768173560 2760014309786 2855187217020 2895752718464 3030207842400 3045533031488 3381334529600 3393460216950 3568984021275 3619690898080 3744507825600 3806916289360 4040277123200 4057601435520 4140021464679 4343629077696 4524613622600 4568299547232 4758645361700 5072001794400 5429536347120 5520028619572 5710374434040 6060415684800 6091066062976 6762669059200 6786920433900 6900035774465 7137968042550 7239381796160 7489015651200 7613832578720 8280042929358 8687258155392 9049227245200 9136599094464 9517290723400 10144003588800 10859072694240 11040057239144 11420748868080 12120831369600 13573840867800 13800071548930 14275936085100 14478763592320 15227665157440 16560085858716 18098454490400 18273198188928 19034581446800 20288007177600 20700107323395 21718145388480 22080114478288 22841497736160 27147681735600 27600143097860 28551872170200 30455330314880 33120171717432 34500178872325 36196908980800 38069162893600 41400214646790 43436290776960 44160228956576 45682995472320 54295363471200 55200286195720 57103744340400 66240343434864 69000357744650 72393817961600 76138325787200 82800429293580 88320457913152 91365990944640 103500536616975 108590726942400 110400572391440 114207488680800 132480686869728 138000715489300 152276651574400 165600858587160 176640915826304 207001073233950 217181453884800 220801144782880 228414977361600 264961373739456 276001430978600 331201717174320 414002146467900 441602289565760 456829954723200 529922747478912 552002861957200 662403434348640 828004292935800 883204579131520 1104005723914400 1324806868697280 1656008585871600 2208011447828800 2649613737394560 3312017171743200 4416022895657600 6624034343486400 13248068686972800
- Sum of all divisors σ(n): 45992858823770400
- Sum of proper divisors (its aliquot sum) s(n): 32744790136797600
- 13248068686972800 is an abundant number, because the sum of its proper divisors (32744790136797600) is greater than itself. Its abundance is 19496721449824800
Bases of 13248068686972800
- Binary: 1011110001000100001100010111000000110000000111100000002
- Hexadecimal: 0x2F110C5C0C0780
- Base-36: 3MG1QQH85MO
Squares and roots of 13248068686972800
- 13248068686972800 squared (132480686869728002) is 175511323934749209032427939840000
- 13248068686972800 cubed (132480686869728003) is 2325186074829090719369500978892541750116352000000
-
The
square root of 13248068686972800 is 115100254.9387828247 -
The
cube root of 13248068686972800 is 236619.6769210283
Scales and comparisons
How big is 13248068686972800?- 13,248,068,686,972,800 seconds is equal to 421,247,605 years, 14 weeks, 3 days, 10 hours, 40 minutes.
-
To count from 1 to 13,248,068,686,972,800 would take you about one billion, two hundred sixty-three million, seven hundred forty-two thousand, eight hundred fifteen 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 13248068686972800 cubic inches would be around 19718.3 feet tall.
Recreational maths with 13248068686972800
- 13248068686972800 backwards is 00827968686084231
- The number of decimal digits it has is: 17
- The sum of 13248068686972800's digits is 78
- More coming soon!
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Numbermatics. (2024). Number 13248068686972800 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/13248068686972800/
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The information we have on file for 13248068686972800 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!
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