13398305478103700038800
13,398,305,478,103,700,038,800 is an even composite number composed of eight prime numbers multiplied together.
13398305478103700038800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13398305478103700038800:
24 × 33 × 52 × 31 × 1741 × 3931 × 22291 × 262321
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 31 × 1741 × 3931 × 22291 × 262321)See below for interesting mathematical facts about the number 13398305478103700038800 from the Numbermatics database.
Names of 13398305478103700038800
- Cardinal: 13398305478103700038800 can be written as Thirteen sextillion, three hundred ninety-eight quintillion, three hundred five quadrillion, four hundred seventy-eight trillion, one hundred three billion, seven hundred million, thirty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.33983054781037000388 × 1022
Factors of 13398305478103700038800
Divisors of 13398305478103700038800
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 36 40 45 48 50 54 60 62 72 75 80 90 93 100 108 120 124 135 144 150 155 180 186 200 216 225 240 248 270 279 300 310 360 372 400 432 450 465 496 540 558 600 620 675 720 744 775 837 900 930 1080 1116 1200 1240 1350 1395 1488 1550 1674 1741 1800 1860 2160 2232 2325 2480 2700 2790 3100 3348 3482 3600 3720 3931 4185 4464 4650 5223 5400 5580 6200 6696 6964 6975 7440 7862 8370 8705 9300 10446 10800 11160 11793 12400 13392 13928 13950 15669 15724 16740 17410 18600 19655 20892 20925 22291 22320 23586 26115 27856 27900 31338 31448 33480 34820 35379 37200 39310 41784 41850 43525 44582 47007 47172 52230 53971 55800 58965 62676 62896 66873 66960 69640 70758 78345 78620 83568 83700 87050 89164 94014 94344 98275 104460 106137 107942 111455 111600 117930 121861 125352 130575 133746 139280 141516 156690 157240 161913 167400 174100 176895 178328 188028 188688 196550 200619 208920 212274 215884 222910 235035 235860 243722 250704 261150 262321 267492 269855 283032 294825 313380 314480 323826 334365 334800 348200 353790 356656 365583 376056 391725 393100 401238 417840 424548 431768 445820 470070 471720 485739 487444 522300 524642 530685 534984 539710 557275 566064 589650 601857 609305 626760 647652 668730 691021 696400 707580 731166 752112 783450 786200 786963 802476 809565 849096 863536 884475 891640 940140 943440 971478 974888 1003095 1044600 1049284 1061370 1069968 1079420 1096749 1114550 1175175 1179300 1203714 1218610 1253520 1295304 1311605 1337460 1349275 1382042 1415160 1457217 1462332 1566900 1572400 1573926 1604952 1619130 1671825 1698192 1768950 1783280 1827915 1880280 1942956 1949776 2006190 2073063 2089200 2098568 2122740 2158840 2193498 2229100 2350350 2358600 2360889 2407428 2428695 2437220 2590608 2623210 2653425 2674920 2698550 2764084 2830320 2914434 2924664 3009285 3046525 3133800 3147852 3209904 3238260 3290247 3343650 3455105 3537900 3655830 3760560 3885912 3934815 4012380 4047825 4146126 4197136 4245480 4317680 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9930003504180912 10017724252017780 10215198537748560 10343753650188450 10688545438528065 10994744403955080 11130804724464200 11361235884086916 11401115134429936 12021269102421336 12216382671061200 12412504380226140 12522155315022225 12623595426763240 12768998172185700 12826254526233678 13356965669357040 13743430504943850 13791671533584600 14201544855108645 14251393918037420 15026586378026670 15148314512115888 15515630475282675 15779494283454050 16550005840301520 16696207086696300 17025330896247600 17041853826130374 17101672701644904 17814242397546775 18324574006591800 18935393140144860 19239381789350517 19389143713582800 20035448504035560 20687507300376900 21377090877056130 21989488807910160 22261609448928400 22722471768173832 23669241425181075 24042538204842672 24825008760452280 25044310630044450 25247190853526480 25537996344371400 25652509052467356 27486861009887700 27583343067169200 28403089710217290 28502787836074840 30053172756053340 31031260950565350 31558988566908100 32065636315584195 33392414173392600 34083707652260748 34203345403289808 35628484795093550 36649148013183600 37566465945066675 37870786280289720 38478763578701034 40018833566617981 40070897008071120 41375014600753800 42604634565325935 42754181754112260 45444943536347664 47338482850362150 49650017520904560 50088621260088900 51075992688742800 51305018104934712 53442727192640325 54973722019775400 56806179420434580 57005575672149680 60106345512106680 62062521901130700 63117977133816200 64131272631168390 66784828346785200 68167415304521496 71007724275543225 71256969590187100 75132931890133350 75741572560579440 76957527157402068 80037667133235962 82750029201507600 85209269130651870 85508363508224520 94676965700724300 96196908946752585 100177242520177800 102610036209869424 106885454385280650 109947444039550800 113612358840869160 120056500699853943 120212691024213360 124125043802261400 126235954267632400 128262545262336780 136334830609042992 142015448551086450 142513939180374200 150265863780266700 153915054314804136 160075334266471924 160328181577920975 170418538261303740 171016727016449040 189353931401448600 192393817893505170 200094167833089905 200354485040355600 213023172826629675 213770908770561300 227224717681738320 240113001399707886 248250087604522800 256525090524673560 284030897102172900 285027878360748400 300531727560533400 307830108629608272 320150668532943848 320656363155841950 340837076522607480 360169502099561829 378707862802897200 384787635787010340 400188335666179810 426046345653259350 427541817541122600 480226002799415772 480984544733762925 513050181049347120 568061794204345800 600282503499269715 601063455121066800 640301337065887696 641312726311683900 681674153045214960 720339004199123658 769575271574020680 800376671332359620 852092691306518700 855083635082245200 960452005598831544 961969089467525850 1000470839165449525 1080508506298685487 1136123588408691600 1200565006998539430 1240583840565157411 1282625452623367800 1440678008398247316 1539150543148041360 1600753342664719240 1704185382613037400 1800847510497809145 1920904011197663088 1923938178935051700 2000941678330899050 2161017012597370974 2401130013997078860 2481167681130314822 2565250905246735600 2881356016796494632 3001412517496348575 3201506685329438480 3408370765226074800 3601695020995618290 3721751521695472233 3847876357870103400 4001883356661798100 4322034025194741948 4802260027994157720 4962335362260629644 5402542531493427435 5762712033592989264 6002825034992697150 6202919202825787055 7203390041991236580 7443503043390944466 7695752715740206800 8003766713323596200 8644068050389483896 9004237552489045725 9604520055988315440 9924670724521259288 10805085062986854870 11165254565086416699 12005650069985394300 12405838405651574110 14406780083982473160 14887006086781888932 16007533426647192400 17288136100778967792 18008475104978091450 18608757608477361165 19849341449042518576 21610170125973709740 22330509130172833398 24011300139970788600 24811676811303148220 27012712657467137175 28813560167964946320 29774012173563777864 31014596014128935275 33495763695259250097 36016950209956182900 37217515216954722330 43220340251947419480 44661018260345666796 48022600279941577200 49623353622606296440 54025425314934274350 55826272825432083495 59548024347127555728 62029192028257870550 66991527390518500194 72033900419912365800 74435030433909444660 86440680503894838960 89322036520691333592 93043788042386805825 99246707245212592880 108050850629868548700 111652545650864166990 124058384056515741100 133983054781037000388 144067800839824731600 148870060867818889320 167478818476296250485 178644073041382667184 186087576084773611650 216101701259737097400 223305091301728333980 248116768113031482200 267966109562074000776 279131364127160417475 297740121735637778640 334957636952592500970 372175152169547223300 432203402519474194800 446610182603456667960 496233536226062964400 535932219124148001552 558262728254320834950 669915273905185001940 744350304339094446600 837394092381481252425 893220365206913335920 1116525456508641669900 1339830547810370003880 1488700608678188893200 1674788184762962504850 2233050913017283339800 2679661095620740007760 3349576369525925009700 4466101826034566679600 6699152739051850019400 13398305478103700038800
- Sum of all divisors σ(n): 49269569361744090644480
- Sum of proper divisors (its aliquot sum) s(n): 35871263883640390605680
- 13398305478103700038800 is an abundant number, because the sum of its proper divisors (35871263883640390605680) is greater than itself. Its abundance is 22472958405536690566880
Bases of 13398305478103700038800
- Binary: 101101011001010010110101110010010100010010000011010100101101100100100100002
- Hexadecimal: 0x2D652D725120D4B6490
- Base-36: 26JM1KOR1SR7YC0
Squares and roots of 13398305478103700038800
- 13398305478103700038800 squared (133983054781037000388002) is 179514589684583618079856458790847121505440000
- 13398305478103700038800 cubed (133983054781037000388003) is 2405191310370494652183858034227813740601909806385302442411072000000
-
The
square root of 13398305478103700038800 is 115751049576.6828890951 -
The
cube root of 13398305478103700038800 is 23751076.1340515507
Scales and comparisons
How big is 13398305478103700038800?- 13,398,305,478,103,700,038,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,398,305,478,103,700,038,800 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 13398305478103700038800 cubic inches would be around 1979256.3 feet tall.
Recreational maths with 13398305478103700038800
- 13398305478103700038800 backwards is 00883000730187450389331
- The number of decimal digits it has is: 23
- The sum of 13398305478103700038800's digits is 81
- More coming soon!
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"Number 13398305478103700038800 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 13398305478103700038800 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/13398305478103700038800/
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Numbermatics. 2024. "Number 13398305478103700038800 - Facts about the integer". https://numbermatics.com/n/13398305478103700038800/
The information we have on file for 13398305478103700038800 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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