13318142268645515520
13,318,142,268,645,515,520 is an even composite number composed of six prime numbers multiplied together.
13318142268645515520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 13318142268645515520:
28 × 32 × 5 × 412 × 61 × 1061812
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 41 × 41 × 61 × 106181 × 106181)See below for interesting mathematical facts about the number 13318142268645515520 from the Numbermatics database.
Names of 13318142268645515520
- Cardinal: 13318142268645515520 can be written as Thirteen quintillion, three hundred eighteen quadrillion, one hundred forty-two trillion, two hundred sixty-eight billion, six hundred forty-five million, five hundred fifteen thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.331814226864551552 × 1019
Factors of 13318142268645515520
Divisors of 13318142268645515520
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 61 64 72 80 82 90 96 120 122 123 128 144 160 164 180 183 192 205 240 244 246 256 288 305 320 328 360 366 369 384 410 480 488 492 549 576 610 615 640 656 720 732 738 768 820 915 960 976 984 1098 1152 1220 1230 1280 1312 1440 1464 1476 1640 1681 1830 1845 1920 1952 1968 2196 2304 2440 2460 2501 2624 2745 2880 2928 2952 3280 3362 3660 3690 3840 3904 3936 4392 4880 4920 5002 5043 5248 5490 5760 5856 5904 6560 6724 7320 7380 7503 7808 7872 8405 8784 9760 9840 10004 10086 10496 10980 11520 11712 11808 12505 13120 13448 14640 14760 15006 15129 15616 15744 16810 17568 19520 19680 20008 20172 21960 22509 23424 23616 25010 25215 26240 26896 29280 29520 30012 30258 31488 33620 35136 37515 39040 39360 40016 40344 43920 45018 46848 47232 50020 50430 52480 53792 58560 59040 60024 60516 67240 70272 75030 75645 78080 78720 80032 80688 87840 90036 94464 100040 100860 102541 106181 107584 112545 117120 118080 120048 121032 134480 140544 150060 151290 157440 160064 161376 175680 180072 200080 201720 205082 212362 215168 225090 234240 236160 240096 242064 268960 300120 302580 307623 318543 320128 322752 351360 360144 400160 403440 410164 424724 430336 450180 472320 480192 484128 512705 530905 537920 600240 605160 615246 637086 640256 645504 702720 720288 800320 806880 820328 849448 900360 922869 955629 960384 968256 1025410 1061810 1075840 1200480 1210320 1230492 1274172 1291008 1440576 1538115 1592715 1600640 1613760 1640656 1698896 1800720 1845738 1911258 1920768 1936512 2050820 2123620 2151680 2400960 2420640 2460984 2548344 2881152 3076230 3185430 3201280 3227520 3281312 3397792 3601440 3691476 3822516 3873024 4101640 4247240 4353421 4614345 4778145 4801920 4841280 4921968 5096688 5762304 6152460 6370860 6455040 6477041 6562624 6795584 7202880 7382952 7645032 8203280 8494480 8706842 9228690 9556290 9603840 9682560 9843936 10193376 12304920 12741720 12954082 13060263 13125248 13591168 14405760 14765904 15290064 16406560 16988960 17413684 18457380 19112580 19365120 19431123 19687872 20386752 21767105 24609840 25483440 25908164 26120526 26250496 27182336 28811520 29531808 30580128 32385205 32813120 33977920 34827368 36914760 38225160 38862246 39180789 39375744 40773504 43534210 49219680 50966880 51816328 52241052 58293369 59063616 61160256 64770410 65301315 65626240 67955840 69654736 73829520 76450320 77724492 78361578 78751488 81547008 87068420 97155615 98439360 101933760 103632656 104482104 116586738 118127232 122320512 129540820 130602630 131252480 135911680 139309472 147659040 152900640 155448984 156723156 174136840 178490261 194311230 195903945 196878720 203867520 207265312 208964208 233173476 236254464 244641024 259081640 261205260 265558681 278618944 291466845 295318080 305801280 310897968 313446312 348273680 356980522 388622460 391807890 393757440 407735040 414530624 417928416 466346952 518163280 522410520 531117362 535470783 557237888 582933690 590636160 611602560 621795936 626892624 696547360 713961044 777244920 783615780 796676043 829061248 835856832 892451305 932693904 1036326560 1044821040 1062234724 1070941566 1114475776 1165867380 1181272320 1223205120 1243591872 1253785248 1327793405 1393094720 1427922088 1554489840 1567231560 1593352086 1606412349 1658122496 1671713664 1784902610 1865387808 2072653120 2089642080 2124469448 2141883132 2331734760 2390028129 2487183744 2507570496 2655586810 2677353915 2786189440 2855844176 3108979680 3134463120 3186704172 3212824698 3343427328 3569805220 3730775616 3983380215 4145306240 4179284160 4248938896 4283766264 4663469520 4780056258 4974367488 5015140992 5311173620 5354707830 5572378880 5711688352 6217959360 6268926240 6373408344 6425649396 7139610440 7461551232 7966760430 8032061745 8290612480 8358568320 8497877792 8567532528 9326939040 9560112516 10030281984 10622347240 10709415660 10887905921 11274404761 11423376704 11950140645 12435918720 12537852480 12746816688 12851298792 14279220880 14923102464 15933520860 16064123490 16717136640 16995755584 17135065056 18653878080 19120225032 21244694480 21418831320 21775811842 22548809522 22846753408 23900281290 24871837440 25075704960 25493633376 25702597584 28558441760 31867041720 32128246980 32663717763 33823214283 33991511168 34270130112 37307756160 38240450064 42489388960 42837662640 43551623684 45097619044 45693506816 47800562580 50151409920 50987266752 51405195168 54439529605 56372023805 57116883520 63734083440 64256493960 65327435526 67646428566 67983022336 68540260224 74615512320 76480900128 84978777920 85675325280 87103247368 90195238088 95601125160 97991153289 101469642849 101974533504 102810390336 108879059210 112744047610 114233767040 127468166880 128512987920 130654871052 135292857132 137080520448 152961800256 163318588815 169116071415 169957555840 171350650560 174206494736 180390476176 191202250320 195982306578 202939285698 203949067008 205620780672 217758118420 225488095220 228467534080 254936333760 257025975840 261309742104 270585714264 305923600512 326637177630 338232142830 339915111680 342701301120 348412989472 360780952352 382404500640 391964613156 405878571396 411241561344 435516236840 450976190440 462250595201 489955766445 507348214245 509872667520 514051951680 522619484208 541171428528 611847201024 653274355260 676464285660 685402602240 687738690421 696825978944 721561904704 764809001280 783929226312 811757142792 871032473680 901952380880 924501190402 979911532890 1014696428490 1019745335040 1028103903360 1045238968416 1082342857056 1306548710520 1352928571320 1375477380842 1386751785603 1393651957888 1443123809408 1529618002560 1567858452624 1623514285584 1742064947360 1803904761760 1849002380804 1959823065780 2029392856980 2056207806720 2063216071263 2090477936832 2164685714112 2311252976005 2613097421040 2705857142640 2750954761684 2773503571206 2787303915776 2886247618816 3059236005120 3135716905248 3247028571168 3438693452105 3484129894720 3607809523520 3698004761608 3919646131560 4058785713960 4126432142526 4160255356809 4180955873664 4329371428224 4622505952010 5226194842080 5411714285280 5501909523368 5547007142412 6189648213789 6271433810496 6494057142336 6877386904210 6933758928015 6968259789440 7215619047040 7396009523216 7839292263120 8117571427920 8252864285052 8320510713618 8361911747328 8658742856448 9245011904020 10316080356315 10452389684160 10823428570560 11003819046736 11094014284824 12379296427578 12542867620992 12988114284672 13754773808420 13867517856030 13936519578880 14431238094080 14792019046432 15678584526240 16235142855840 16505728570104 16641021427236 18490023808040 18952274403241 20632160712630 20801276784045 20904779368320 21646857141120 22007638093472 22188028569648 24758592855156 25085735241984 25976228569344 27509547616840 27735035712060 28197286307261 29584038092864 30948241068945 31357169052480 32470285711680 33011457140208 33282042854472 36980047616080 37904548806482 41264321425260 41602553568090 41809558736640 43293714282240 44015276186944 44376057139296 49517185710312 55019095233680 55470071424120 56394572614522 56856823209723 59168076185728 61896482137890 62714338104960 64940571423360 66022914280416 66564085708944 73960095232160 75809097612964 82528642850520 83205107136180 84591858921783 88030552373888 88752114278592 94761372016205 99034371420624 110038190467360 110940142848240 112789145229044 113713646419446 118336152371456 123792964275780 125428676209920 129881142846720 132045828560832 133128171417888 140986431536305 147920190464320 151618195225928 165057285701040 166410214272360 169183717843566 170570469629169 176061104747776 177504228557184 189522744032410 198068742841248 220076380934720 221880285696480 225578290458088 227427292838892 247585928551560 253775576765349 264091657121664 266256342835776 281972863072610 284284116048615 295840380928640 303236390451856 330114571402080 332820428544720 338367435687132 341140939258338 355008457114368 379045488064820 396137485682496 422959294608915 440152761869440 443760571392960 451156580916176 454854585677784 495171857103120 507551153530698 528183314243328 532512685671552 563945726145220 568568232097230 591680761857280 606472780903712 660229142804160 665640857089440 676734871374264 682281878516676 758090976129640 792274971364992 845918589217830 852852348145845 880305523738880 887521142785920 902313161832352 909709171355568 990343714206240 1015102307061396 1065025371343104 1127891452290440 1137136464194460 1156088738597701 1212945561807424 1268877883826745 1320458285608320 1331281714178880 1353469742748528 1364563757033352 1516181952259280 1584549942729984 1691837178435660 1705704696291690 1775042285571840 1804626323664704 1819418342711136 1980687428412480 2030204614122792 2255782904580880 2274272928388920 2312177477195402 2425891123614848 2537755767653490 2640916571216640 2662563428357760 2706939485497056 2729127514066704 3032363904518560 3383674356871320 3411409392583380 3468266215793103 3609252647329408 3638836685422272 3961374856824960 4060409228245584 4511565809161760 4548545856777840 4624354954390804 4851782247229696 5075511535306980 5325126856715520 5413878970994112 5458255028133408 5780443692988505 6064727809037120 6767348713742640 6822818785166760 6936532431586206 7218505294658816 7277673370844544 7922749713649920 8120818456491168 9023131618323520 9097091713555680 9248709908781608 10151023070613960 10404798647379309 10827757941988224 10916510056266816 11560887385977010 12129455618074240 13534697427485280 13645637570333520 13873064863172412 14555346741689088 16241636912982336 17341331078965515 18046263236647040 18194183427111360 18497419817563216 20302046141227920 20809597294758618 21655515883976448 21833020112533632 23121774771954020 24258911236148480 27069394854970560 27291275140667040 27746129726344824 32483273825964672 34682662157931030 36092526473294080 36388366854222720 36994839635126432 40604092282455840 41619194589517236 43666040225067264 46243549543908040 52023993236896545 54138789709941120 54582550281334080 55492259452689648 64966547651929344 69365324315862060 72776733708445440 73989679270252864 81208184564911680 83238389179034472 92487099087816080 104047986473793090 108277579419882240 109165100562668160 110984518905379296 138730648631724120 147979358540505728 162416369129823360 166476778358068944 184974198175632160 208095972947586180 218330201125336320 221969037810758592 277461297263448240 295958717081011456 324832738259646720 332953556716137888 369948396351264320 416191945895172360 443938075621517184 554922594526896480 665907113432275776 739896792702528640 832383891790344720 887876151243034368 1109845189053792960 1331814226864551552 1479793585405057280 1664767783580689440 2219690378107585920 2663628453729103104 3329535567161378880 4439380756215171840 6659071134322757760 13318142268645515520
- Sum of all divisors σ(n): 48005409891225157644
- Sum of proper divisors (its aliquot sum) s(n): 34687267622579642124
- 13318142268645515520 is an abundant number, because the sum of its proper divisors (34687267622579642124) is greater than itself. Its abundance is 21369125353934126604
Bases of 13318142268645515520
- Binary: 10111000110100111000101111010100101011101011101100100001000000002
- Hexadecimal: 0xB8D38BD4AEBB2100
- Base-36: 2T6NRF2J08JK0
Squares and roots of 13318142268645515520
- 13318142268645515520 squared (133181422686455155202) is 177372913487882318887540689006560870400
- 13318142268645515520 cubed (133181422686455155203) is 2362277696435769785470055757603617906774338490867908608000
-
The
square root of 13318142268645515520 is 3649403001.6765092149 -
The
cube root of 13318142268645515520 is 2370361.3108309877
Scales and comparisons
How big is 13318142268645515520?- 13,318,142,268,645,515,520 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,318,142,268,645,515,520 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 13318142268645515520 cubic inches would be around 197530.1 feet tall.
Recreational maths with 13318142268645515520
- 13318142268645515520 backwards is 02551554686224181331
- 13318142268645515520 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13318142268645515520's digits is 72
- More coming soon!
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The information we have on file for 13318142268645515520 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 13318142268645515520, math, Factors of 13318142268645515520, curriculum, school, college, exams, university, Prime factorization of 13318142268645515520, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, three hundred eighteen quadrillion, one hundred forty-two trillion, two hundred sixty-eight billion, six hundred forty-five million, five hundred fifteen thousand, five hundred twenty.