13642986046224409600
13,642,986,046,224,409,600 is an even composite number composed of seven prime numbers multiplied together.
13642986046224409600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 13642986046224409600:
210 × 52 × 11 × 41 × 3121 × 21821 × 17351
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 41 × 3121 × 21821 × 17351)See below for interesting mathematical facts about the number 13642986046224409600 from the Numbermatics database.
Names of 13642986046224409600
- Cardinal: 13642986046224409600 can be written as Thirteen quintillion, six hundred forty-two quadrillion, nine hundred eighty-six trillion, forty-six billion, two hundred twenty-four million, four hundred nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.36429860462244096 × 1019
Factors of 13642986046224409600
Divisors of 13642986046224409600
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 41 44 50 55 64 80 82 88 100 110 128 160 164 176 200 205 220 256 275 320 328 352 400 410 440 451 512 550 640 656 704 800 820 880 902 1024 1025 1100 1280 1312 1408 1600 1640 1760 1804 2050 2200 2255 2560 2624 2816 3121 3200 3280 3520 3608 4100 4400 4510 5120 5248 5632 6242 6400 6560 7040 7216 8200 8800 9020 10496 11264 11275 12484 12800 13120 14080 14432 15605 16400 17351 17600 18040 20992 21821 22550 24968 25600 26240 28160 28864 31210 32800 34331 34702 35200 36080 41984 43642 45100 49936 52480 56320 57728 62420 65600 68662 69404 70400 72160 78025 86755 87284 90200 99872 104960 109105 115456 124840 127961 131200 137324 138808 140800 144320 156050 171655 173510 174568 180400 190861 199744 209920 218210 230912 240031 249680 255922 262400 274648 277616 281600 288640 312100 343310 347020 349136 360800 381722 399488 433775 436420 461824 480062 499360 511844 524800 545525 549296 555232 577280 624200 639805 686620 694040 698272 711391 721600 763444 798976 858275 867550 872840 894661 954305 960124 998720 1023688 1049600 1091050 1098592 1110464 1154560 1200155 1248400 1279610 1373240 1388080 1396544 1407571 1422782 1443200 1526888 1597952 1716550 1735100 1745680 1789322 1908610 1920248 1997440 2047376 2182100 2197184 2220928 2309120 2400310 2496800 2559220 2746480 2776160 2793088 2815142 2845564 2886400 3053776 3195904 3199025 3433100 3470200 3491360 3556955 3578644 3817220 3840496 3994880 4094752 4364200 4394368 4441856 4473305 4771525 4800620 4993600 5118440 5492960 5552320 5586176 5630284 5691128 5772800 6000775 6107552 6398050 6866200 6940400 6982720 7037855 7113910 7157288 7634440 7680992 7825301 7989760 8189504 8728400 8788736 8883712 8946610 9543050 9601240 9841271 9987200 10236880 10985920 11104640 11172352 11260568 11382256 11545600 12001550 12215104 12796100 13732400 13880800 13965440 14075710 14227820 14314576 15268880 15361984 15650602 15979520 16379008 17456800 17577472 17767424 17784775 17893220 19086100 19202480 19682542 19974400 20473760 21971840 22209280 22344704 22366525 22521136 22764512 24003100 24430208 25592200 27464800 27761600 27930880 28151420 28455640 28629152 30537760 30723968 31301204 32758016 34913600 35154944 35189275 35569550 35786440 38172200 38404960 39126505 39365084 39948800 40947520 43943680 44418560 44733050 45042272 45529024 48006200 48860416 49206355 51184400 54152471 54929600 55523200 55861760 56302840 56911280 57258304 61075520 61447936 62602408 65516032 68103341 69827200 70378550 71139100 71572880 76344400 76809920 78253010 78730168 79897600 81895040 87887360 88837120 89466100 90084544 91058048 96012400 97720832 98412710 102368800 108304942 109859200 111046400 111723520 112605680 113822560 114516608 122151040 122895872 125204816 131032064 136206682 139654400 140757100 142278200 143145760 152688800 153619840 156506020 157460336 163790080 175774720 178932200 180169088 182116096 192024800 195441664 195632525 196825420 204737600 216609884 219718400 222092800 225211360 227645120 229033216 244302080 245791744 246031775 250409632 270762355 272413364 279308800 281514200 284556400 286291520 305377600 307239680 313012040 314920672 327580160 340516705 357864400 360338176 364232192 378616171 384049600 391265050 393650840 409475200 433219768 439436800 444185600 450422720 455290240 458066432 488604160 492063550 500819264 541524710 544826728 558617600 563028400 569112800 572583040 595677181 610755200 614479360 626024080 629841344 655160320 681033410 715728800 720676352 728464384 749136751 757232342 768099200 782530100 787301680 818950400 866439536 878873600 900845440 910580480 916132864 977208320 984127100 1001638528 1083049420 1089653456 1126056800 1138225600 1145166080 1191354362 1221510400 1228958720 1252048160 1259682688 1353811775 1362066820 1431457600 1441352704 1498273502 1514464684 1536198400 1565060200 1574603360 1637900800 1702583525 1732879072 1801690880 1821160960 1893080855 1968254200 2003277056 2166098840 2179306912 2220251311 2252113600 2276451200 2290332160 2382708724 2443020800 2504096320 2519365376 2707623550 2724133640 2792236981 2862915200 2978385905 2996547004 3028929368 3072396800 3130120400 3149206720 3275801600 3405167050 3465758144 3603381760 3642321920 3745683755 3786161710 3936508400 4006554112 4164777881 4332197680 4358613824 4440502622 4504227200 4552902400 4580664320 4765417448 4886041600 5008192640 5038730752 5415247100 5448267280 5584473962 5725830400 5956771810 5993094008 6057858736 6144793600 6260240800 6298413440 6810334100 6931516288 7206763520 7491367510 7572323420 7873016800 8013108224 8329555762 8664395360 8717227648 8881005244 9008454400 9105804800 9465404275 9530834896 10016385280 10077461504 10830494200 10896534560 11101256555 11168947924 11451660800 11913543620 11986188016 12115717472 12520481600 12596826880 13620668200 13863032576 13961184905 14891929525 14982735020 15144646840 15523263011 15746033600 16659111524 17328790720 17434455296 17762010488 18016908800 18211609600 18728418775 18930808550 19061669792 20032770560 20823889405 21660988400 21793069120 22202513110 22337895848 22903321600 23827087240 23972376032 24231434944 24422764421 25040963200 25193653760 27241336400 27726065152 27922369810 29783859050 29965470040 30289293680 30714606791 31046526022 31492067200 33318223048 34657581440 34868910592 35524020976 36033817600 37456837550 37861617100 38123339584 40065541120 41647778810 43321976800 43586138240 44405026220 44675791696 47654174480 47944752064 48462869888 48845528842 50081926400 50387307520 54482672800 55452130304 55506282775 55844739620 59567718100 59930940080 60578587360 61429213582 62093052044 62984134400 66636446096 69315162880 69737821184 69805924525 71048041952 74913675100 75723234200 76246679168 77616315055 83295557620 86643953600 87172276480 88810052440 89351583392 95308348960 95889504128 96925739776 97691057684 100163852800 104119447025 108965345600 111012565550 111689479240 119135436200 119861880160 121157174720 122113822105 122858427164 124186104088 125968268800 133272892192 138630325760 139611849050 142096083904 149827350200 151446468400 152493358336 153573033955 155232630110 166591115240 170755893121 173287907200 174344552960 177620104880 178703166784 190616697920 191779008256 193851479552 195382115368 200327705600 208238894050 217930691200 222025131100 223378958480 238270872400 239723760320 242314349440 244227644210 245716854328 248372208176 251936537600 266545784384 277260651520 279223698100 284192167808 299654700400 302892936800 304986716672 307146067910 310465260220 333182230480 341511786242 346575814400 348689105920 355240209760 357406333568 381233395840 383558016512 387702959104 388081575275 390764230736 416477788100 435861382400 444050262200 446757916960 476541744800 479447520640 484628698880 488455288420 491433708656 496744416352 533091568768 558447396200 568384335616 599309400800 605785873600 609973433344 610569110525 614292135820 620930520440 666364460960 683023572484 693151628800 710480419520 714812667136 762466791680 767116033024 767865169775 776163150550 781528461472 832955576200 853779465605 871722764800 888100524400 893515833920 953083489600 958895041280 969257397760 976910576840 982867417312 993488832704 1066183137536 1116894792400 1136768671232 1181661069691 1198618801600 1211571747200 1221138221050 1228584271640 1241861040880 1332728921920 1366047144968 1386303257600 1420960839040 1429625334272 1524933583360 1535730339550 1552326301100 1563056922944 1665911152400 1707558931210 1743445529600 1776201048800 1787031667840 1906166979200 1917790082560 1938514795520 1953821153680 1965734834624 1986977665408 2132366275072 2233789584800 2273537342464 2363322139382 2397237603200 2423143494400 2442276442100 2457168543280 2483722081760 2665457843840 2732094289936 2841921678080 2859250668544 3049867166720 3071460679100 3104652602200 3126113845888 3331822304800 3415117862420 3552402097600 3574063335680 3812333958400 3835580165120 3907642307360 3931469669248 3973955330816 4264732550144 4268897328025 4467579169600 4726644278764 4794475206400 4846286988800 4884552884200 4914337086560 4967444163520 5330915687680 5464188579872 5683843356160 5908305348455 6142921358200 6209305204400 6252227691776 6663644609600 6830235724840 7104804195200 7148126671360 7624667916800 7815284614720 7862939338496 7947910661632 8537794656050 8935158339200 9453288557528 9588950412800 9692573977600 9769105768400 9828674173120 9934888327040 10661831375360 10928377159744 11367686712320 11816610696910 12285842716400 12418610408800 12504455383552 12998271766601 13327289219200 13660471449680 14209608390400 14296253342720 15249335833600 15630569229440 15725878676992 15895821323264 17075589312100 17870316678400 18906577115056 19177900825600 19538211536800 19657348346240 19869776654080 21323662750720 21856754319488 23633221393820 24571685432800 24837220817600 25008910767104 25996543533202 26654578438400 27320942899360 28419216780800 29541526742275 31261138458880 31451757353984 34151178624200 35740633356800 37813154230112 39076423073600 39314696692480 39739553308160 43713508638976 47266442787640 48448103857331 49143370865600 49674441635200 51993087066404 53309156876800 54641885798720 56838433561600 59083053484550 62522276917760 64991358833005 68302357248400 71481266713600 75626308460224 78152846147200 78629393384960 79479106616320 87427017277952 94532885575280 96896207714662 98286741731200 99348883270400 103986174132808 106618313753600 109283771597440 118166106969100 125044553835520 129982717666010 136604714496800 151252616920448 156305692294400 157258786769920 174854034555904 189065771150560 193792415429324 196573483462400 198697766540800 207972348265616 218567543194880 236332213938200 242240519286655 259965435332020 273209428993600 302505233840896 312611384588800 324956794165025 378131542301120 387584830858648 393146966924800 397395533081600 415944696531232 437135086389760 472664427876400 484481038573310 519930870664040 532929142430641 546418857987200 605010467681792 625222769177600 649913588330050 756263084602240 775169661717296 786293933849600 831889393062464 874270172779520 945328855752800 968962077146620 1039861741328080 1065858284861282 1092837715974400 1210020935363584 1211202596433275 1299827176660100 1512526169204480 1550339323434592 1663778786124928 1890657711505600 1937924154293240 2079723482656160 2131716569722564 2185675431948800 2422405192866550 2599654353320200 2664645712153205 3025052338408960 3100678646869184 3327557572249856 3781315423011200 3875848308586480 4159446965312320 4263433139445128 4371350863897600 4844810385733100 5199308706640400 5329291424306410 6050104676817920 6201357293738368 6655115144499712 7562630846022400 7751696617172960 8318893930624640 8526866278890256 9689620771466200 10398617413280800 10658582848612820 12402714587476736 13310230288999424 13323228560766025 15125261692044800 15503393234345920 16637787861249280 17053732557780512 19379241542932400 20797234826561600 21317165697225640 24805429174953472 26646457121532050 30250523384089600 31006786468691840 33275575722498560 34107465115561024 38758483085864800 41594469653123200 42634331394451280 49610858349906944 53292914243064100 62013572937383680 66551151444997120 68214930231122048 77516966171729600 83188939306246400 85268662788902560 106585828486128200 124027145874767360 136429860462244096 155033932343459200 166377878612492800 170537325577805120 213171656972256400 248054291749534720 272859720924488192 310067864686918400 332755757224985600 341074651155610240 426343313944512800 545719441848976384 620135729373836800 682149302311220480 852686627889025600 1240271458747673600 1364298604622440960 1705373255778051200 2728597209244881920 3410746511556102400 6821493023112204800 13642986046224409600
- Sum of all divisors σ(n): 37808292320395317504
- Sum of proper divisors (its aliquot sum) s(n): 24165306274170907904
- 13642986046224409600 is an abundant number, because the sum of its proper divisors (24165306274170907904) is greater than itself. Its abundance is 10522320227946498304
Bases of 13642986046224409600
- Binary: 10111101010101011001111110000110100000001101000100100100000000002
- Hexadecimal: 0xBD559F8680D12400
- Base-36: 2VNIAXDSCX534
Squares and roots of 13642986046224409600
- 13642986046224409600 squared (136429860462244096002) is 186131068257473948198827242868572160000
- 13642986046224409600 cubed (136429860462244096003) is 2539383567005560209060359333746302532865318490996736000000
-
The
square root of 13642986046224409600 is 3693641299.0739111021 -
The
cube root of 13642986046224409600 is 2389478.5978962119
Scales and comparisons
How big is 13642986046224409600?- 13,642,986,046,224,409,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,642,986,046,224,409,600 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 13642986046224409600 cubic inches would be around 199123.2 feet tall.
Recreational maths with 13642986046224409600
- 13642986046224409600 backwards is 00690442264068924631
- The number of decimal digits it has is: 20
- The sum of 13642986046224409600's digits is 76
- More coming soon!
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The information we have on file for 13642986046224409600 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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