20139734426959320739200
20,139,734,426,959,320,739,200 is an even composite number composed of seven prime numbers multiplied together.
20139734426959320739200 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 20139734426959320739200:
27 × 33 × 52 × 19 × 127 × 8807 × 10968687883
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 19 × 127 × 8807 × 10968687883)See below for interesting mathematical facts about the number 20139734426959320739200 from the Numbermatics database.
Names of 20139734426959320739200
- Cardinal: 20139734426959320739200 can be written as Twenty sextillion, one hundred thirty-nine quintillion, seven hundred thirty-four quadrillion, four hundred twenty-six trillion, nine hundred fifty-nine billion, three hundred twenty million, seven hundred thirty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 2.01397344269593207392 × 1022
Factors of 20139734426959320739200
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 10968696846
Divisors of 20139734426959320739200
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 90 95 96 100 108 114 120 127 128 135 144 150 152 160 171 180 190 192 200 216 225 228 240 254 270 285 288 300 304 320 342 360 380 381 384 400 432 450 456 475 480 508 513 540 570 576 600 608 635 640 675 684 720 760 762 800 855 864 900 912 950 960 1016 1026 1080 1140 1143 1152 1200 1216 1270 1350 1368 1425 1440 1520 1524 1600 1710 1728 1800 1824 1900 1905 1920 2032 2052 2160 2280 2286 2400 2413 2432 2540 2565 2700 2736 2850 2880 3040 3048 3175 3200 3420 3429 3456 3600 3648 3800 3810 4064 4104 4275 4320 4560 4572 4800 4826 5080 5130 5400 5472 5700 5715 5760 6080 6096 6350 6840 6858 7200 7239 7296 7600 7620 8128 8208 8550 8640 8807 9120 9144 9525 9600 9652 10160 10260 10800 10944 11400 11430 12065 12160 12192 12700 12825 13680 13716 14400 14478 15200 15240 16256 16416 17100 17145 17280 17614 18240 18288 19050 19304 20320 20520 21600 21717 21888 22800 22860 24130 24384 25400 25650 26421 27360 27432 28575 28800 28956 30400 30480 32832 34200 34290 35228 36195 36480 36576 38100 38608 40640 41040 43200 43434 44035 45600 45720 48260 48768 50800 51300 52842 54720 54864 57150 57912 60325 60800 60960 65151 65664 68400 68580 70456 72390 73152 76200 77216 79263 81280 82080 85725 86400 86868 88070 91200 91440 96520 101600 102600 105684 108585 109440 109728 114300 115824 120650 121920 130302 132105 136800 137160 140912 144780 146304 152400 154432 158526 164160 167333 171450 173736 176140 180975 182400 182880 193040 203200 205200 211368 217170 219456 220175 228600 231648 237789 241300 243840 260604 264210 273600 274320 281824 289560 304800 308864 317052 325755 328320 334666 342900 347472 352280 361950 365760 386080 396315 406400 410400 422736 434340 438912 440350 457200 463296 475578 482600 501999 521208 528420 542925 547200 548640 563648 579120 609600 634104 651510 660525 669332 685800 694944 704560 723900 731520 772160 792630 820800 836665 845472 868680 880700 914400 926592 951156 965200 1003998 1042416 1056840 1085850 1097280 1118489 1127296 1158240 1188945 1219200 1268208 1303020 1321050 1338664 1371600 1389888 1409120 1447800 1505997 1544320 1585260 1628775 1641600 1673330 1690944 1737360 1761400 1828800 1902312 1930400 1981575 2007996 2084832 2113680 2171700 2194560 2236978 2316480 2377890 2509995 2536416 2606040 2642100 2677328 2743200 2779776 2818240 2895600 3011994 3170520 3257550 3346660 3355467 3381888 3474720 3522800 3657600 3804624 3860800 3963150 4015992 4169664 4183325 4227360 4343400 4473956 4517991 4632960 4755780 5019990 5072832 5212080 5284200 5354656 5486400 5592445 5636480 5791200 5944725 6023988 6341040 6515100 6693320 6710934 6949440 7045600 7529985 7609248 7721600 7926300 8031984 8339328 8366650 8454720 8686800 8947912 9035982 9511560 10039980 10066401 10145664 10424160 10568400 10709312 10972800 11184890 11582400 11889450 12047976 12549975 12682080 13030200 13386640 13421868 13898880 14091200 15059970 15218496 15852600 16063968 16733300 16777335 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3865497984 4026560400 4080247872 4250258200 4590278856 4781540475 4819190400 4831872480 5100309840 5368747200 5737848570 6039840600 6120371808 6375387300 6442496640 6800413120 7228785600 7650464760 8053120800 8160495744 8500516400 9180557712 9563080950 9663744960 10200619680 10737494400 10968687883 11475697140 12079681200 12240743616 12750774600 13600826240 14344621425 14457571200 15300929520 16106241600 17001032800 18361115424 19126161900 19327489920 20401239360 21937375766 22951394280 24159362400 24481487232 25501549200 28689242850 30601859040 32212483200 32906063649 34002065600 36722230848 38252323800 40802478720 43874751532 45902788560 48318724800 51003098400 54843439415 57378485700 61203718080 65812127298 68004131200 73444461696 76504647600 87749503064 91805577120 96637449600 98718190947 102006196800 109686878830 114756971400 122407436160 131624254596 153009295200 164530318245 175499006128 183611154240 197436381894 204012393600 208405069777 219373757660 229513942800 263248509192 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785174831460402368 792902930195248848 825940552286717550 834634663363419840 881003255772498720 883321685392952664 920126755617659025 927371848181577600 932395112359227812 981468539325502960 991128662744061060 1043293329204274800 1057203906926998464 1101254069715623400 1104152106741190830 1143393574824532800 1165493890449034765 1174671007696664960 1177762247190603552 1226835674156878700 1238910828430076325 1321504883658748080 1324982528089428996 1391057772272366400 1398592668538841718 1468338759620831200 1472202808988254440 1570349662920804736 1585805860390497696 1651881104573435100 1656228160111786245 1669269326726839680 1762006511544997440 1766643370785905328 1840253511235318050 1864790224718455624 1962937078651005920 1982257325488122120 2086586658408549600 2097889002808262577 2114407813853996928 2202508139431246800 2208304213482381660 2286787149649065600 2330987780898069530 2355524494381207104 2453671348313757400 2477821656860152650 2643009767317496160 2649965056178857992 2760380266852977075 2782115544544732800 2797185337077683436 2936677519241662400 2944405617976508880 3171611720780995392 3303762209146870200 3312456320223572490 3496481671347104295 3524013023089994880 3533286741571810656 3680507022470636100 3729580449436911248 3925874157302011840 3964514650976244240 4173173316817099200 4195778005616525154 4405016278862493600 4416608426964763320 4661975561796139060 4711048988762414208 4907342696627514800 4955643313720305300 5286019534634992320 5299930112357715984 5520760533705954150 5594370674155366872 5827469452245173825 5873355038483324800 5888811235953017760 6293667008424787731 6343223441561990784 6607524418293740400 6624912640447144980 6992963342694208590 7066573483143621312 7361014044941272200 7459160898873822496 7851748314604023680 7929029301952488480 8281140800558931225 8346346633634198400 8391556011233050308 8810032557724987200 8833216853929526640 9323951123592278120 9814685393255029600 9911286627440610600 10489445014041312885 10572039069269984640 10599860224715431968 11041521067411908300 11188741348310733744 11654938904490347650 11777622471906035520 12587334016849575462 13215048836587480800 13249825280894289960 13985926685388417180 14133146966287242624 14722028089882544400 14918321797747644992 15858058603904976960 16562281601117862450 16783112022466100616 17482408356735521475 17620065115449974400 17666433707859053280 18647902247184556240 19629370786510059200 19822573254881221200 20978890028082625770 21199720449430863936 22083042134823816600 22377482696621467488 23309877808980695300 23555244943812071040 25174668033699150924 26430097673174961600 26499650561788579920 27971853370776834360 29444056179765088800 29836643595495289984 31468335042123938655 31716117207809953920 33124563202235724900 33566224044932201232 34964816713471042950 35332867415718106560 37295804494369112480 39258741573020118400 39645146509762442400 41957780056165251540 42399440898861727872 44166084269647633200 44754965393242934976 46619755617961390600 50349336067398301848 52447225070206564425 52860195346349923200 52999301123577159840 55943706741553668720 58888112359530177600 62936670084247877310 66249126404471449800 67132448089864402464 69929633426942085900 70665734831436213120 74591608988738224960 79290293019524884800 83915560112330503080 88332168539295266400 89509930786485869952 93239511235922781200 100698672134796603696 104894450140413128850 105998602247154319680 111887413483107337440 117776224719060355200 125873340168495754620 132498252808942899600 134264896179728804928 139859266853884171800 149183217977476449920 157341675210619693275 158580586039049769600 167831120224661006160 176664337078590532800 186479022471845562400 201397344269593207392 209788900280826257700 211997204494308639360 223774826966214674880 251746680336991509240 264996505617885799200 268529792359457609856 279718533707768343600 314683350421239386550 335662240449322012320 353328674157181065600 372958044943691124800 402794688539186414784 419577800561652515400 447549653932429349760 503493360673983018480 529993011235771598400 559437067415536687200 629366700842478773100 671324480898644024640 745916089887382249600 805589377078372829568 839155601123305030800 1006986721347966036960 1059986022471543196800 1118874134831073374400 1258733401684957546200 1342648961797288049280 1678311202246610061600 2013973442695932073920 2237748269662146748800 2517466803369915092400 3356622404493220123200 4027946885391864147840 5034933606739830184800 6713244808986440246400 10069867213479660369600 20139734426959320739200
- Sum of all divisors σ(n): 78204873091518480384000
- Sum of proper divisors (its aliquot sum) s(n): 58065138664559159644800
- 20139734426959320739200 is an abundant number, because the sum of its proper divisors (58065138664559159644800) is greater than itself. Its abundance is 37925404237599838905600
Bases of 20139734426959320739200
- Binary: 1000100001111000110111101011111110001101110111011111001010001101101100000002
- Hexadecimal: 0x443C6F5FC6EEF946D80
- Base-36: 3A2C9DIRKQFFXC0
Squares and roots of 20139734426959320739200
- 20139734426959320739200 squared (201397344269593207392002) is 405608902788450479310604311679059234416640000
- 20139734426959320739200 cubed (201397344269593207392003) is 8168855583369752545817095657821626361352670933169797165580288000000
-
The
square root of 20139734426959320739200 is 141914532120.4256401477 -
The
cube root of 20139734426959320739200 is 27207245.7749767965
Scales and comparisons
How big is 20139734426959320739200?- 20,139,734,426,959,320,739,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 20,139,734,426,959,320,739,200 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 20139734426959320739200 cubic inches would be around 2267270.5 feet tall.
Recreational maths with 20139734426959320739200
- 20139734426959320739200 backwards is 00293702395962443793102
- 20139734426959320739200 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 20139734426959320739200's digits is 90
- More coming soon!
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The information we have on file for 20139734426959320739200 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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