83680625316989376000
83,680,625,316,989,376,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 83680625316989376000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
83680625316989376000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 83680625316989376000:
29 × 32 × 53 × 13 × 107 × 104442029761
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 107 × 104442029761)See below for interesting mathematical facts about the number 83680625316989376000 from the Numbermatics database.
Names of 83680625316989376000
- Cardinal: 83680625316989376000 can be written as Eighty-three quintillion, six hundred eighty quadrillion, six hundred twenty-five trillion, three hundred sixteen billion, nine hundred eighty-nine million, three hundred seventy-six thousand.
Scientific notation
- Scientific notation: 8.3680625316989376 × 1019
Factors of 83680625316989376000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 104442029891
Divisors of 83680625316989376000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 107 117 120 125 128 130 144 150 156 160 180 192 195 200 208 214 225 234 240 250 256 260 288 300 312 320 321 325 360 375 384 390 400 416 428 450 468 480 500 512 520 535 576 585 600 624 640 642 650 720 750 768 780 800 832 856 900 936 960 963 975 1000 1040 1070 1125 1152 1170 1200 1248 1280 1284 1300 1391 1440 1500 1536 1560 1600 1605 1625 1664 1712 1800 1872 1920 1926 1950 2000 2080 2140 2250 2304 2340 2400 2496 2560 2568 2600 2675 2782 2880 2925 3000 3120 3200 3210 3250 3328 3424 3600 3744 3840 3852 3900 4000 4160 4173 4280 4500 4608 4680 4800 4815 4875 4992 5136 5200 5350 5564 5760 5850 6000 6240 6400 6420 6500 6656 6848 6955 7200 7488 7680 7704 7800 8000 8025 8320 8346 8560 9000 9360 9600 9630 9750 9984 10272 10400 10700 11128 11520 11700 12000 12480 12519 12800 12840 13000 13375 13696 13910 14400 14625 14976 15408 15600 16000 16050 16640 16692 17120 18000 18720 19200 19260 19500 19968 20544 20800 20865 21400 22256 23040 23400 24000 24075 24960 25038 25680 26000 26750 27392 27820 28800 29250 29952 30816 31200 32000 32100 33280 33384 34240 34775 36000 37440 38400 38520 39000 40125 41088 41600 41730 42800 44512 46800 48000 48150 49920 50076 51360 52000 53500 54784 55640 57600 58500 59904 61632 62400 62595 64000 64200 66768 68480 69550 72000 74880 77040 78000 80250 82176 83200 83460 85600 89024 93600 96000 96300 99840 100152 102720 104000 104325 107000 111280 115200 117000 120375 123264 124800 125190 128400 133536 136960 139100 144000 149760 154080 156000 160500 164352 166400 166920 171200 173875 178048 187200 192000 192600 200304 205440 208000 208650 214000 222560 234000 240750 246528 249600 250380 256800 267072 273920 278200 288000 299520 308160 312000 312975 321000 333840 342400 347750 356096 374400 385200 400608 410880 416000 417300 428000 445120 468000 481500 493056 499200 500760 513600 521625 534144 556400 576000 616320 624000 625950 642000 667680 684800 695500 712192 748800 770400 801216 821760 832000 834600 856000 890240 936000 963000 1001520 1027200 1043250 1068288 1112800 1232640 1248000 1251900 1284000 1335360 1369600 1391000 1497600 1540800 1564875 1602432 1669200 1712000 1780480 1872000 1926000 2003040 2054400 2086500 2136576 2225600 2465280 2496000 2503800 2568000 2670720 2782000 3081600 3129750 3204864 3338400 3424000 3560960 3744000 3852000 4006080 4108800 4173000 4451200 5007600 5136000 5341440 5564000 6163200 6259500 6409728 6676800 6848000 7488000 7704000 8012160 8346000 8902400 10015200 10272000 10682880 11128000 12326400 12519000 13353600 15408000 16024320 16692000 17804800 20030400 20544000 22256000 25038000 26707200 30816000 32048640 33384000 40060800 44512000 50076000 53414400 61632000 66768000 80121600 89024000 100152000 133536000 160243200 200304000 267072000 400608000 801216000 104442029761 208884059522 313326089283 417768119044 522210148805 626652178566 835536238088 939978267849 1044420297610 1253304357132 1357746386893 1566630446415 1671072476176 1879956535698 2088840595220 2506608714264 2611050744025 2715492773786 3133260892830 3342144952352 3759913071396 4073239160679 4177681190440 4699891339245 5013217428528 5222101488050 5430985547572 6266521785660 6684289904704 6788731934465 7519826142792 7833152232075 8146478321358 8355362380880 9399782678490 10026434857056 10444202976100 10861971095144 11175297184427 12219717482037 12533043571320 13055253720125 13368579809408 13577463868930 15039652285584 15666304464150 16292956642716 16710724761760 18799565356980 20052869714112 20366195803395 20888405952200 21723942190288 22350594368854 23499456696225 24439434964074 25066087142640 26110507440250 26737159618816 27154927737860 30079304571168 31332608928300 32585913285432 33421449523520 33525891553281 33943659672325 37599130713960 39165761160375 40105739428224 40732391606790 41776811904400 43447884380576 44701188737708 46998913392450 48878869928148 50132174285280 52221014880500 53474319237632 54309855475720 55876485922135 60158609142336 61098587410185 62665217856600 65171826570864 66842899047040 67051783106562 67887319344650 75198261427920 78331522320750 80211478856448 81464783213580 83553623808800 86895768761152 89402377475416 93997826784900 97757739856296 100264348570560 100577674659843 101830979016975 104442029761000 108619710951440 111752971844270 117497283481125 120317218284672 122197174820370 125330435713200 130343653141728 133685798094080 134103566213124 135774638689300 145278863397551 150396522855840 156663044641500 160422957712896 162929566427160 167107247617600 167629457766405 169718298361625 173791537522304 178804754950832 187995653569800 195515479712592 200528697141120 201155349319686 203661958033950 208884059522000 217239421902880 223505943688540 234994566962250 240634436569344 244394349640740 250660871426400 260687306283456 267371596188160 268207132426248 271549277378600 279382429610675 290557726795102 300793045711680 305492937050925 313326089283000 325859132854320 334214495235200 335258915532810 339436596723250 347583075044608 357609509901664 375991307139600 391030959425184 401057394282240 402310698639372 407323916067900 417768119044000 434478843805760 435836590192653 447011887377080 469989133924500 481268873138688 488788699281480 501321742852800 502888373299215 509154895084875 521374612566912 536414264852496 543098554757200 558764859221350 581115453590204 601586091423360 610985874101850 626652178566000 651718265708640 668428990470400 670517831065620 678873193446500 695166150089216 715219019803328 726394316987755 751982614279200 782061918850368 802114788564480 804621397278744 814647832135800 835536238088000 838147288832025 868957687611520 871673180385306 894023774754160 939978267849000 977577398562960 1002643485705600 1005776746598430 1018309790169750 1042749225133824 1072828529704992 1086197109514400 1117529718442700 1162230907180408 1203172182846720 1221971748203700 1253304357132000 1303436531417280 1307509770577959 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4470118873770800 4648923628721632 4887886992814800 5013217428528000 5028883732992150 5213746125669120 5230039082311836 5364142648524960 5430985547572000 5587648592213500 5721752158426624 5811154535902040 6015860914233600 6109858741018500 6256495350802944 6436971178229952 6517182657086400 6537548852889795 6684289904704000 6705178310656200 6973385443082448 7152190198033280 7263943169877550 7519826142792000 7820619188503680 8046213972787440 8146478321358000 8381472888320250 8582628237639936 8689576876115200 8716731803853060 8940237747541600 9297847257443264 9775773985629600 10026434857056000 10057767465984300 10427492251338240 10460078164623672 10728285297049920 10861971095144000 10895914754816325 11175297184427000 11622309071804080 12031721828467200 12219717482037000 12572209332480375 12873942356459904 13034365314172800 13075097705779590 13410356621312400 13946770886164896 14304380396066560 14527886339755100 15039652285584000 15641238377007360 16092427945574880 16292956642716000 16762945776640500 17165256475279872 17379153752230400 17433463607706120 17880475495083200 18159857924693875 18595694514886528 19551547971259200 20052869714112000 20115534931968600 20920156329247344 21456570594099840 21723942190288000 21791829509632650 22350594368854000 23244618143608160 24439434964074000 25144418664960750 25747884712919808 26068730628345600 26150195411559180 26820713242624800 27893541772329792 28608760792133120 29055772679510200 30079304571168000 31282476754014720 32184855891149760 32585913285432000 32687744264448975 33525891553281000 34866927215412240 35760950990166400 36319715849387750 37191389029773056 39103095942518400 40231069863937200 41840312658494688 42913141188199680 43447884380576000 43583659019265300 44701188737708000 46489236287216320 48878869928148000 50288837329921500 51495769425839616 52137461256691200 52300390823118360 53641426485249600 54479573774081625 55787083544659584 58111545359020400 60158609142336000 64369711782299520 65171826570864000 65375488528897950 67051783106562000 69733854430824480 71521901980332800 72639431698775500 74382778059546112 78206191885036800 80462139727874400 83680625316989376 85826282376399360 86895768761152000 87167318038530600 89402377475416000 92978472574432640 97757739856296000 100577674659843000 104600781646236720 107282852970499200 108959147548163250 111574167089319168 116223090718040800 128739423564599040 130343653141728000 130750977057795900 134103566213124000 139467708861648960 143043803960665600 145278863397551000 156412383770073600 160924279455748800 163438721322244875 167361250633978752 174334636077061200 178804754950832000 185956945148865280 195515479712592000 201155349319686000 209201563292473440 214565705940998400 217918295096326500 223148334178638336 232446181436081600 257478847129198080 260687306283456000 261501954115591800 268207132426248000 278935417723297920 290557726795102000 321848558911497600 326877442644489750 334722501267957504 348669272154122400 357609509901664000 371913890297730560 391030959425184000 402310698639372000 418403126584946880 429131411881996800 435836590192653000 464892362872163200 523003908231183600 536414264852496000 557870835446595840 581115453590204000 643697117822995200 653754885288979500 669445002535915008 697338544308244800 715219019803328000 782061918850368000 804621397278744000 836806253169893760 871673180385306000 929784725744326400 1046007816462367200 1072828529704992000 1115741670893191680 1162230907180408000 1287394235645990400 1307509770577959000 1394677088616489600 1609242794557488000 1673612506339787520 1743346360770612000 1859569451488652800 2092015632924734400 2145657059409984000 2324461814360816000 2615019541155918000 2789354177232979200 3218485589114976000 3347225012679575040 3486692721541224000 4184031265849468800 4648923628721632000 5230039082311836000 5578708354465958400 6436971178229952000 6973385443082448000 8368062531698937600 9297847257443264000 10460078164623672000 13946770886164896000 16736125063397875200 20920156329247344000 27893541772329792000 41840312658494688000 83680625316989376000
- Sum of all divisors σ(n): 327620205955054748736
- Sum of proper divisors (its aliquot sum) s(n): 243939580638065372736
- 83680625316989376000 is an abundant number, because the sum of its proper divisors (243939580638065372736) is greater than itself. Its abundance is 160258955321075996736
Bases of 83680625316989376000
- Binary: 10010001001010011010100110101011101111010011011011000010110000000002
- Hexadecimal: 0x4894D4D5DE9B61600
- Base-36: HNRKXZRWW48W0
Squares and roots of 83680625316989376000
- 83680625316989376000 squared (836806253169893760002) is 7002447053442363304562264496869376000000
- 83680625316989376000 cubed (836806253169893760003) is 585969148181166684746569040391830103049577451749376000000000
-
The
square root of 83680625316989376000 is 9147711479.7630874995 -
The
cube root of 83680625316989376000 is 4373961.6638693207
Scales and comparisons
How big is 83680625316989376000?- 83,680,625,316,989,376,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 83,680,625,316,989,376,000 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 83680625316989376000 cubic inches would be around 364496.8 feet tall.
Recreational maths with 83680625316989376000
- 83680625316989376000 backwards is 00067398961352608638
- 83680625316989376000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 83680625316989376000's digits is 90
- More coming soon!
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"Number 83680625316989376000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 83680625316989376000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/83680625316989376000/
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The information we have on file for 83680625316989376000 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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