13042639902615756375600
13,042,639,902,615,756,375,600 is an even composite number composed of seven prime numbers multiplied together.
13042639902615756375600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13042639902615756375600:
24 × 33 × 52 × 7 × 31 × 2801 × 1986867499321
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 31 × 2801 × 1986867499321)See below for interesting mathematical facts about the number 13042639902615756375600 from the Numbermatics database.
Names of 13042639902615756375600
- Cardinal: 13042639902615756375600 can be written as Thirteen sextillion, forty-two quintillion, six hundred thirty-nine quadrillion, nine hundred two trillion, six hundred fifteen billion, seven hundred fifty-six million, three hundred seventy-five thousand, six hundred.
Scientific notation
- Scientific notation: 1.30426399026157563756 × 1022
Factors of 13042639902615756375600
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 1986867502170
Divisors of 13042639902615756375600
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 31 35 36 40 42 45 48 50 54 56 60 62 63 70 72 75 80 84 90 93 100 105 108 112 120 124 126 135 140 144 150 155 168 175 180 186 189 200 210 216 217 225 240 248 252 270 279 280 300 310 315 336 350 360 372 378 400 420 432 434 450 465 496 504 525 540 558 560 600 620 630 651 675 700 720 744 756 775 837 840 868 900 930 945 1008 1050 1080 1085 1116 1200 1240 1260 1302 1350 1395 1400 1488 1512 1550 1575 1674 1680 1736 1800 1860 1890 1953 2100 2160 2170 2232 2325 2480 2520 2604 2700 2790 2800 2801 3024 3100 3150 3255 3348 3472 3600 3720 3780 3906 4185 4200 4340 4464 4650 4725 5040 5208 5400 5425 5580 5602 5859 6200 6300 6510 6696 6975 7440 7560 7812 8370 8400 8403 8680 9300 9450 9765 10416 10800 10850 11160 11204 11718 12400 12600 13020 13392 13950 14005 15120 15624 16275 16740 16806 17360 18600 18900 19530 19607 20925 21700 22320 22408 23436 25200 25209 26040 27900 28010 29295 31248 32550 33480 33612 37200 37800 39060 39214 41850 42015 43400 44816 46872 48825 50418 52080 55800 56020 58590 58821 65100 66960 67224 70025 75600 75627 78120 78428 83700 84030 86800 86831 93744 97650 98035 100836 111600 112040 117180 117642 126045 130200 134448 140050 146475 151254 156240 156856 167400 168060 173662 176463 195300 196070 201672 210075 224080 234360 235284 252090 260400 260493 280100 292950 294105 302508 313712 334800 336120 347324 352926 378135 390600 392140 403344 420150 434155 468720 470568 490175 504180 520986 529389 560200 585900 588210 605016 607817 630225 672240 694648 705852 756270 781200 781479 784280 840300 868310 882315 941136 980350 1008360 1041972 1058778 1120400 1171800 1176420 1210032 1215634 1260450 1302465 1389296 1411704 1470525 1512540 1562958 1568560 1680600 1736620 1764630 1823451 1890675 1960700 2016720 2083944 2117556 2170775 2343600 2344437 2352840 2431268 2520900 2604930 2646945 2823408 2941050 3025080 3039085 3125916 3361200 3473240 3529260 3646902 3781350 3907395 3921400 4167888 4235112 4341550 4411575 4688874 4705680 4862536 5041800 5209860 5293890 5470353 5882100 6050160 6078170 6251832 6512325 6946480 7058520 7293804 7562700 7814790 7842800 8470224 8683100 8823150 9117255 9377748 9725072 10083600 10419720 10587780 10940706 11722185 11764200 12156340 12503664 13024650 13234725 14117040 14587608 15125400 15195425 15629580 16411059 17366200 17646300 18234510 18755496 19536975 20839440 21175560 21881412 23444370 23528400 24312680 26049300 26469450 27351765 29175216 30250800 30390850 31259160 32822118 34732400 35292600 36469020 37510992 39073950 42351120 43762824 45586275 46888740 48625360 52098600 52938900 54703530 58610925 60781700 62518320 65644236 70585200 72938040 78147900 82055295 87525648 91172550 93777480 104197200 105877800 109407060 117221850 121563400 131288472 136758825 145876080 156295800 164110590 182345100 187554960 211755600 218814120 234443700 243126800 262576944 273517650 312591600 328221180 364690200 410276475 437628240 468887400 547035300 656442360 729380400 820552950 937774800 1094070600 1312884720 1641105900 2188141200 3282211800 6564423600 1986867499321 3973734998642 5960602497963 7947469997284 9934337496605 11921204995926 13908072495247 15894939994568 17881807493889 19868674993210 23842409991852 27816144990494 29803012489815 31789879989136 35763614987778 39737349986420 41724217485741 47684819983704 49671687483025 53645422481667 55632289980988 59606024979630 61592892478951 69540362476235 71527229975556 79474699972840 83448434971482 89409037469445 95369639967408 99343374966050 107290844963334 111264579961976 119212049959260 123185784957902 125172652457223 139080724952470 143054459951112 149015062449075 158949399945680 166896869942964 178818074938890 184778677436853 198686749932100 208621087428705 214581689926668 222529159923952 238424099918520 246371569915804 250345304914446 268227112408335 278161449904940 286108919902224 298030124898150 307964462394755 333793739885928 347701812381175 357636149877780 369557354873706 375517957371669 397373499864200 417242174857410 429163379853336 431150247352657 447045187347225 476848199837040 492743139831608 500690609828892 536454224816670 554336032310559 556322899809880 596060249796300 615928924789510 625863262286115 667587479771856 695403624762350 715272299755560 739114709747412 751035914743338 794746999728400 834484349714820 858326759706672 862300494705314 894090374694450 923893387184265 985486279663216 1001381219657784 1043105437143525 1072908449633340 1108672064621118 1112645799619760 1192120499592600 1231857849579020 1251726524572230 1293450742057971 1341135562041675 1390807249524700 1430544599511120 1478229419494824 1502071829486676 1539822311973775 1663008096931677 1668968699429640 1724600989410628 1788180749388900 1847786774368530 1877589786858345 2002762439315568 2086210874287050 2145816899266680 2155751236763285 2217344129242236 2384240999185200 2463715699158040 2503453049144460 2586901484115942 2682271124083350 2771680161552795 2781614499049400 2956458838989648 3004143658973352 3079644623947550 3129316311430575 3326016193863354 3337937398859280 3449201978821256 3576361498777800 3695573548737060 3755179573716690 3880352226173913 4172421748574100 4291633798533360 4311502473526570 4434688258484472 4619466935921325 4927431398316080 5006906098288920 5173802968231884 5364542248166700 5543360323105590 5563228998098800 5565215865598121 6008287317946704 6159289247895100 6258632622861150 6467253710289855 6652032387726708 6898403957642512 7152722997555600 7391147097474120 7510359147433380 7760704452347826 8315040484658385 8344843497148200 8623004947053140 8869376516968944 9238933871842650 9387948934291725 10013812196577840 10347605936463768 10729084496333400 10778756183816425 11086720646211180 11130431731196242 11641056678521739 12318578495790200 12517265245722300 12934507420579710 13304064775453416 13858400807763975 14782294194948240 15020718294866760 15521408904695652 16630080969316770 16689686994296400 16695647596794363 17246009894106280 18477867743685300 18775897868583450 19401761130869565 20695211872927536 21458168992666800 21557512367632850 22173441292422360 22260863462392484 23282113357043478 24637156991580400 25034530491444600 25869014841159420 26608129550906832 27716801615527950 27826079327990605 30041436589733520 31042817809391304 32336268551449275 33260161938633540 33391295193588726 34492019788212560 36955735487370600 37551795737166900 38803522261739130 38956511059186847 41575202423291925 43115024735265700 44346882584844720 44521726924784968 46564226714086956 50069060982889200 50086942790383089 51738029682318840 55433603231055900 55652158655981210 58205283392608695 62085635618782608 64672537102898550 66520323877267080 66782590387177452 73911470974741200 75103591474333800 77607044523478260 77913022118373694 83150404846583850 83478237983971815 86230049470531400 89043453849569936 93128453428173912 97008805654347825 100173885580766178 103476059364637680 110867206462111800 111304317311962420 116410566785217390 116869533177560541 129345074205797100 133040647754534160 133565180774354904 139130396639953025 150207182948667600 150260828371149267 155214089046956520 155826044236747388 166300809693167700 166956475967943630 172460098941062800 172521691833541751 186256906856347824 194017611308695650 194782555295934235 200347771161532356 221734412924223600 222608634623924840 232821133570434780 233739066355121082 250434713951915445 258690148411594200 267130361548709808 278260793279906050 291026416963043475 300521656742298534 310428178093913040 311652088473494776 332601619386335400 333912951935887260 345043383667083502 350608599532681623 388035222617391300 389565110591868470 400695542323064712 417391189919859075 445217269247849680 465642267140869560 467478132710242164 500869427903830890 517380296823188400 517565075500625253 556521586559812100 582052833926086950 584347665887802705 601043313484597068 623304176946989552 665203238772670800 667825903871774520 690086767334167004 701217199065363246 751304141855746335 776070445234782600 779130221183736940 801391084646129424 834782379839718150 862608459167708755 931284534281739120 934956265420484328 973912776479671175 1001738855807661780 1035130151001250506 1051825798598044869 1113043173119624200 1164105667852173900 1168695331775605410 1202086626969194136 1207651842834792257 1252173569759577225 1335651807743549040 1380173534668334008 1402434398130726492 1502608283711492670 1552140890469565200 1552695226501875759 1558260442367473880 1669564759679436300 1725216918335417510 1753042997663408115 1869912530840968656 1947825552959342350 2003477711615323560 2070260302002501012 2103651597196089738 2226086346239248400 2328211335704347800 2337390663551210820 2404173253938388272 2415303685669584514 2504347139519154450 2587825377503126265 2760347069336668016 2804868796261452984 2921738329439013525 3005216567422985340 3105390453003751518 3116520884734947760 3339129519358872600 3450433836670835020 3506085995326816230 3622955528504376771 3756520709278731675 3895651105918684700 4006955423230647120 4140520604005002024 4207303194392179476 4313042295838543775 4656422671408695600 4658085679505627277 4674781327102421640 4830607371339169028 5008694279038308900 5175650755006252530 5259128992990224345 5609737592522905968 5843476658878027050 6010433134845970680 6038259214173961285 6210780906007503036 6678259038717745200 6900867673341670040 7012171990653632460 7245911057008753542 7513041418557463350 7763476132509378795 7791302211837369400 8281041208010004048 8414606388784358952 8626084591677087550 8765214988317040575 9316171359011254554 9349562654204843280 9661214742678338056 10017388558076617800 10351301510012505060 10518257985980448690 10868866585513130313 11686953317756054100 12020866269691941360 12076518428347922570 12421561812015006072 12939126887515631325 13801735346683340080 14024343981307264920 14491822114017507084 15026082837114926700 15526952265018757590 15582604423674738800 16829212777568717904 17252169183354175100 17530429976634081150 18114777642521883855 18632342718022509108 19322429485356676112 20034777116153235600 20702603020025010120 21036515971960897380 21737733171026260626 23290428397528136385 23373906635512108200 24153036856695845140 24843123624030012144 25878253775031262650 26295644964951121725 28048687962614529840 28983644228035014168 30052165674229853400 30191296070869806425 31053904530037515180 32606599756539390939 34504338366708350200 35060859953268162300 36229555285043767710 37264685436045018216 38817380662546893975 41405206040050020240 42073031943921794760 43475466342052521252 46580856795056272770 46747813271024216400 48306073713391690280 51756507550062525300 52591289929902243450 54344332927565651565 57967288456070028336 60104331348459706800 60382592141739612850 62107809060075030360 65213199513078781878 69008676733416700400 70121719906536324600 72459110570087535420 74529370872090036432 77634761325093787950 84146063887843589520 86950932684105042504 90573888212609419275 93161713590112545540 96612147426783380560 103513015100125050600 105182579859804486900 108688665855131303130 116452141987640681925 120765184283479225700 124215618120150060720 130426399026157563756 140243439813072649200 144918221140175070840 155269522650187575900 163032998782696954695 173901865368210085008 181147776425218838550 186323427180225091080 207026030200250101200 210365159719608973800 217377331710262606260 232904283975281363850 241530368566958451400 260852798052315127512 271721664637828257825 289836442280350141680 310539045300375151800 326065997565393909390 362295552850437677100 372646854360450182160 420730319439217947600 434754663420525212520 465808567950562727700 483060737133916902800 521705596104630255024 543443329275656515650 621078090600750303600 652131995130787818780 724591105700875354200 815164993913484773475 869509326841050425040 931617135901125455400 1086886658551313031300 1304263990261575637560 1449182211401750708400 1630329987826969546950 1863234271802250910800 2173773317102626062600 2608527980523151275120 3260659975653939093900 4347546634205252125200 6521319951307878187800 13042639902615756375600
- Sum of all divisors σ(n): 54784837903455585116160
- Sum of proper divisors (its aliquot sum) s(n): 41742198000839828740560
- 13042639902615756375600 is an abundant number, because the sum of its proper divisors (41742198000839828740560) is greater than itself. Its abundance is 28699558098224072364960
Bases of 13042639902615756375600
- Binary: 101100001100001010111111010011000010001111101010111000100010000110001100002
- Hexadecimal: 0x2C30AFD308FAB888630
- Base-36: 24GJV30KAI78DO0
Squares and roots of 13042639902615756375600
- 13042639902615756375600 squared (130426399026157563756002) is 170110455629304746953002074296492048275360000
- 13042639902615756375600 cubed (130426399026157563756003) is 2218689416442917210737203081039851468270010482854975904385216000000
-
The
square root of 13042639902615756375600 is 114204377773.4275665171 -
The
cube root of 13042639902615756375600 is 23539026.6883148547
Scales and comparisons
How big is 13042639902615756375600?- 13,042,639,902,615,756,375,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,042,639,902,615,756,375,600 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 13042639902615756375600 cubic inches would be around 1961585.6 feet tall.
Recreational maths with 13042639902615756375600
- 13042639902615756375600 backwards is 00657365751620993624031
- 13042639902615756375600 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 13042639902615756375600's digits is 90
- More coming soon!
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"Number 13042639902615756375600 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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The information we have on file for 13042639902615756375600 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 13042639902615756375600, math, Factors of 13042639902615756375600, curriculum, school, college, exams, university, Prime factorization of 13042639902615756375600, STEM, science, technology, engineering, physics, economics, calculator, thirteen sextillion, forty-two quintillion, six hundred thirty-nine quadrillion, nine hundred two trillion, six hundred fifteen billion, seven hundred fifty-six million, three hundred seventy-five thousand, six hundred.