13643655023913216000
13,643,655,023,913,216,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13643655023913216000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
13643655023913216000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13643655023913216000:
211 × 3 × 53 × 61 × 139 × 7673 × 273061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 61 × 139 × 7673 × 273061)See below for interesting mathematical facts about the number 13643655023913216000 from the Numbermatics database.
Names of 13643655023913216000
- Cardinal: 13643655023913216000 can be written as Thirteen quintillion, six hundred forty-three quadrillion, six hundred fifty-five trillion, twenty-three billion, nine hundred thirteen million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.3643655023913216 × 1019
Factors of 13643655023913216000
Divisors of 13643655023913216000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 61 64 75 80 96 100 120 122 125 128 139 150 160 183 192 200 240 244 250 256 278 300 305 320 366 375 384 400 417 480 488 500 512 556 600 610 640 695 732 750 768 800 834 915 960 976 1000 1024 1112 1200 1220 1280 1390 1464 1500 1525 1536 1600 1668 1830 1920 1952 2000 2048 2085 2224 2400 2440 2560 2780 2928 3000 3050 3072 3200 3336 3475 3660 3840 3904 4000 4170 4448 4575 4800 4880 5120 5560 5856 6000 6100 6144 6400 6672 6950 7320 7625 7673 7680 7808 8000 8340 8479 8896 9150 9600 9760 10240 10425 11120 11712 12000 12200 12800 13344 13900 14640 15250 15346 15360 15616 16000 16680 16958 17375 17792 18300 19200 19520 20850 22240 22875 23019 23424 24000 24400 25437 25600 26688 27800 29280 30500 30692 30720 31232 32000 33360 33916 34750 35584 36600 38365 38400 39040 41700 42395 44480 45750 46038 46848 48000 48800 50874 51200 52125 53376 55600 58560 61000 61384 62464 64000 66720 67832 69500 71168 73200 76730 76800 78080 83400 84790 88960 91500 92076 93696 96000 97600 101748 104250 106752 111200 115095 117120 122000 122768 124928 127185 128000 133440 135664 139000 142336 146400 153460 153600 156160 166800 169580 177920 183000 184152 187392 191825 192000 195200 203496 208500 211975 213504 222400 230190 234240 244000 245536 254370 256000 266880 271328 273061 278000 284672 292800 306920 312320 333600 339160 355840 366000 368304 374784 383650 384000 390400 406992 417000 423950 427008 444800 460380 468053 468480 488000 491072 508740 533760 542656 546122 556000 575475 585600 613840 624640 635925 667200 678320 711680 732000 736608 767300 768000 780800 813984 819183 834000 847900 854016 889600 920760 936106 936960 959125 976000 982144 1017480 1059875 1066547 1067520 1085312 1092244 1112000 1150950 1171200 1227680 1271850 1334400 1356640 1365305 1404159 1423360 1464000 1473216 1534600 1561600 1627968 1638366 1668000 1695800 1779200 1841520 1872212 1873920 1918250 1952000 1964288 2034960 2119750 2133094 2135040 2170624 2184488 2224000 2301900 2340265 2342400 2455360 2543700 2668800 2713280 2730610 2808318 2877375 2928000 2946432 3069200 3123200 3179625 3199641 3255936 3276732 3336000 3391600 3558400 3683040 3744424 3836500 3904000 3928576 4069920 4095915 4239500 4266188 4270080 4341248 4368976 4448000 4603800 4680530 4684800 4910720 5087400 5332735 5337600 5426560 5461220 5616636 5754750 5856000 5892864 6138400 6359250 6399282 6511872 6553464 6672000 6783200 6826525 7020795 7116800 7366080 7488848 7673000 7808000 7857152 8139840 8191830 8479000 8532376 8682496 8737952 8896000 9207600 9361060 9369600 9821440 10174800 10665470 10675200 10853120 10922440 11233272 11509500 11701325 11712000 11785728 12276800 12718500 12798564 13023744 13106928 13344000 13566400 13653050 14041590 14732160 14977696 15346000 15616000 15714304 15998205 16279680 16383660 16656721 16958000 17064752 17364992 17475904 17792000 18415200 18722120 19642880 20349600 20479575 21330940 21350400 21706240 21844880 22466544 23019000 23402650 23424000 23571456 24553600 25437000 25597128 26047488 26213856 26663675 26688000 27132800 27306100 28083180 29464320 29955392 30692000 31996410 32559360 32767320 33313442 33916000 34129504 34132625 34951808 35103975 35584000 36830400 37444240 37955479 39285760 40699200 40959150 42661880 43412480 43689760 44933088 46038000 46805300 46848000 47142912 49107200 49970163 50874000 51194256 52094976 52427712 53327350 53376000 54265600 54612200 56166360 58506625 58928640 59910784 61384000 63992820 65059367 65118720 65534640 66626884 67832000 68259008 68265250 69903616 70207950 73660800 74888480 75910958 78571520 79991025 81398400 81918300 83283605 85323760 86824960 87379520 89866176 92076000 93610600 98214400 99940326 101748000 102388512 102397875 104855424 106654700 106752000 108531200 109224400 112332720 113866437 117013250 117857280 119821568 122768000 127985640 130118734 130237440 131069280 133253768 133318375 135664000 136518016 136530500 139807232 140415900 147321600 149776960 151821916 159982050 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65437194359296 67046305696000 69895773688080 71060703249548 71125531207680 72808097591750 74089095008000 74555491933952 76684212139800 80455566835200 81796492949120 87369717110100 88825879061935 88906914009600 93194364917440 95855265174750 98155791538944 100569458544000 102245616186400 106591054874322 107274089113600 109212146387625 111133642512000 111833237900928 116492956146800 118542552012800 122694739423680 127807020233000 130874388718592 134092611392000 139791547376160 142121406499096 145616195183500 148178190016000 149110983867904 153368424279600 160911133670400 163592985898240 174739434220200 177651758123870 177813828019200 186388729834880 191710530349500 196311583077888 201138917088000 204491232372800 213182109748644 218424292775250 222267285024000 223666475801856 232985912293600 245389478847360 255614040466000 261748777437184 266477637185805 268185222784000 279583094752320 284242812998192 291232390367000 296356380032000 298221967735808 306736848559200 321822267340800 327185971796480 349478868440400 355303516247740 355627656038400 372777459669760 383421060699000 392623166155776 402277834176000 408982464745600 426364219497288 436848585550500 444129395309675 444534570048000 447332951603712 465971824587200 490778957694720 511228080932000 532955274371610 536370445568000 559166189504640 568485625996384 582464780734000 592712760064000 596443935471616 613473697118400 654371943592960 698957736880800 710607032495480 745554919339520 766842121398000 785246332311552 804555668352000 817964929491200 852728438994576 873697171101000 888258790619350 889069140096000 894665903207424 931943649174400 981557915389440 1022456161864000 1065910548743220 1118332379009280 1136971251992768 1164929561468000 1226947394236800 1308743887185920 1332388185929025 1397915473761600 1421214064990960 1491109838679040 1533684242796000 1609111336704000 1635929858982400 1705456877989152 1747394342202000 1776517581238700 1778138280192000 1789331806414848 1863887298348800 1963115830778880 2044912323728000 2131821097486440 2220646976548375 2236664758018560 2273942503985536 2329859122936000 2453894788473600 2664776371858050 2795830947523200 2842428129981920 2982219677358080 3067368485592000 3271859717964800 3410913755978304 3494788684404000 3553035162477400 3727774596697600 3926231661557760 4089824647456000 4263642194972880 4441293953096750 4473329516037120 4547885007971072 4659718245872000 4907789576947200 5329552743716100 5591661895046400 5684856259963840 6134736971184000 6543719435929600 6661940929645125 6821827511956608 6989577368808000 7106070324954800 7455549193395200 8179649294912000 8527284389945760 8882587906193500 8946659032074240 9095770015942144 9319436491744000 9815579153894400 10659105487432200 11183323790092800 11369712519927680 12269473942368000 13323881859290250 13643655023913216 13979154737616000 14212140649909600 14911098386790400 16359298589824000 17054568779891520 17765175812387000 18191540031884288 18638872983488000 19631158307788800 21318210974864400 22366647580185600 22739425039855360 24538947884736000 26647763718580500 27287310047826432 27958309475232000 28424281299819200 32718597179648000 34109137559783040 35530351624774000 36383080063768576 37277745966976000 42636421949728800 44733295160371200 45478850079710720 49077895769472000 53295527437161000 54574620095652864 55916618950464000 56848562599638400 68218275119566080 71060703249548000 74555491933952000 85272843899457600 90957700159421440 98155791538944000 106591054874322000 109149240191305728 111833237900928000 113697125199276800 136436550239132160 142121406499096000 170545687798915200 181915400318842880 213182109748644000 223666475801856000 227394250398553600 272873100478264320 284242812998192000 341091375597830400 426364219497288000 454788500797107200 545746200956528640 568485625996384000 682182751195660800 852728438994576000 909577001594214400 1136971251992768000 1364365502391321600 1705456877989152000 2273942503985536000 2728731004782643200 3410913755978304000 4547885007971072000 6821827511956608000 13643655023913216000
- Sum of all divisors σ(n): 46477341944807155200
- Sum of proper divisors (its aliquot sum) s(n): 32833686920893939200
- 13643655023913216000 is an abundant number, because the sum of its proper divisors (32833686920893939200) is greater than itself. Its abundance is 19190031896980723200
Bases of 13643655023913216000
- Binary: 10111101010101111111111111110101000000100101001000101000000000002
- Hexadecimal: 0xBD57FFF502522800
- Base-36: 2VNOW25W8CDMO
Squares and roots of 13643655023913216000
- 13643655023913216000 squared (136436550239132160002) is 186149322411552338660801899462656000000
- 13643655023913216000 cubed (136436550239132160003) is 2539757137918417078212235109314070402740776861696000000000
-
The
square root of 13643655023913216000 is 3693731855.9842992479 -
The
cube root of 13643655023913216000 is 2389517.6529275615
Scales and comparisons
How big is 13643655023913216000?- 13,643,655,023,913,216,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,643,655,023,913,216,000 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 13643655023913216000 cubic inches would be around 199126.5 feet tall.
Recreational maths with 13643655023913216000
- 13643655023913216000 backwards is 00061231932055634631
- 13643655023913216000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13643655023913216000's digits is 60
- More coming soon!
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MLA style:
"Number 13643655023913216000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 13643655023913216000 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/13643655023913216000/
Chicago style:
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The information we have on file for 13643655023913216000 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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