107142053615423819776
107,142,053,615,423,819,776 is an even composite number composed of five prime numbers multiplied together.
107142053615423819776 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-three divisors.
Prime factorization of 107142053615423819776:
212 × 72 × 612 × 5212 × 7272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 61 × 61 × 521 × 521 × 727 × 727)See below for interesting mathematical facts about the number 107142053615423819776 from the Numbermatics database.
Names of 107142053615423819776
- Cardinal: 107142053615423819776 can be written as One hundred seven quintillion, one hundred forty-two quadrillion, fifty-three trillion, six hundred fifteen billion, four hundred twenty-three million, eight hundred nineteen thousand, seven hundred seventy-six.
Scientific notation
- Scientific notation: 1.07142053615423819776 × 1020
Factors of 107142053615423819776
Divisors of 107142053615423819776
- Number of divisors d(n): 1053
-
Complete list of divisors:
1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 128 196 224 244 256 392 427 448 488 512 521 727 784 854 896 976 1024 1042 1454 1568 1708 1792 1952 2048 2084 2908 2989 3136 3416 3584 3647 3721 3904 4096 4168 5089 5816 5978 6272 6832 7168 7294 7442 7808 8336 10178 11632 11956 12544 13664 14336 14588 14884 15616 16672 20356 23264 23912 25088 25529 26047 27328 28672 29176 29768 31232 31781 33344 35623 40712 44347 46528 47824 50176 51058 52094 54656 58352 59536 62464 63562 66688 71246 81424 88694 93056 95648 100352 102116 104188 109312 116704 119072 124928 127124 133376 142492 162848 177388 182329 186112 191296 200704 204232 208376 218624 222467 233408 238144 249856 254248 266752 271441 284984 310429 325696 354776 364658 372224 378767 382592 408464 416752 437248 444934 466816 476288 508496 528529 533504 542882 569968 620858 651392 709552 729316 744448 757534 765184 816928 833504 874496 889868 933632 952576 1016992 1057058 1067008 1085764 1139936 1241716 1302784 1419104 1458632 1488896 1515068 1530368 1557269 1633856 1667008 1748992 1779736 1867264 1900087 1905152 1938641 2033984 2114116 2134016 2171528 2173003 2279872 2483432 2605568 2651369 2705167 2838208 2917264 2977792 3030136 3060736 3114538 3267712 3334016 3559472 3699703 3734528 3800174 3810304 3877282 4067968 4228232 4343056 4346006 4559744 4966864 5211136 5302738 5410334 5676416 5834528 6060272 6121472 6229076 6535424 6668032 7118944 7399406 7469056 7600348 7620608 7754564 8135936 8456464 8686112 8692012 9119488 9933728 10422272 10605476 10820668 11352832 11669056 12120544 12242944 12458152 13070848 13300609 13336064 13570487 14237888 14798812 14938112 15200696 15241216 15509128 16271872 16557901 16912928 17372224 17384024 18238976 18559583 18936169 19867456 20844544 21210952 21641336 22705664 23104787 23338112 24241088 24916304 25897921 26141696 26601218 26672128 27140974 28475776 29597624 30401392 31018256 32240269 32543744 33115802 33825856 34744448 34768048 36477952 37119166 37872338 39734912 42421904 43282672 45411328 46209574 46676224 48482176 49832608 51795842 52283392 53202436 53344256 54281948 56951552 59195248 60802784 62036512 64480538 65087488 66231604 67651712 69488896 69536096 72955904 74238332 75744676 79469824 84843808 86565344 90822656 92419148 93352448 94993409 96964352 99665216 103591684 104566784 106404872 106688512 108563896 113903104 115905307 118390496 121605568 124073024 128961076 130174976 132463208 132553183 135303424 138977792 139072192 145911808 148476664 151489352 158939648 161733509 169687616 173130688 181645312 184838296 186704896 189986818 193928704 197337607 199330432 207183368 212809744 217127792 225681883 227806208 231810614 236780992 243211136 248146048 257922152 264926416 265106366 270606848 275363609 277955584 278144384 296953328 302978704 317879296 323467018 339375232 346261376 369676592 373409792 379973636 387857408 394675214 398660864 414366736 425619488 434255584 451363766 455612416 463621228 473561984 486422272 496292096 515844304 529852832 530212732 541213696 550727218 555911168 556288768 593906656 605957408 635758592 646934036 678750464 692522752 739353184 746819584 759947272 775714816 789350428 797321728 811337149 828733472 851238976 868511168 902727532 911224832 927242456 947123968 972844544 992584192 1010031961 1031688608 1059705664 1060425464 1082427392 1101454436 1111822336 1112577536 1132134563 1187813312 1211914816 1271517184 1293868072 1357500928 1381363249 1385045504 1409392007 1478706368 1519894544 1551429632 1578700856 1579773181 1594643456 1622674298 1657466944 1702477952 1737022336 1805455064 1854484912 1894247936 1927545263 1945689088 1966656409 1985168384 2020063922 2063377216 2119411328 2120850928 2164854784 2202908872 2225155072 2264269126 2375626624 2423829632 2587736144 2715001856 2762726498 2770091008 2818784014 2957412736 3039789088 3157401712 3159546362 3189286912 3245348596 3314933888 3404955904 3474044672 3610910128 3708969824 3788495872 3855090526 3891378176 3933312818 3970336768 4040127844 4126754432 4238822656 4241701856 4405817744 4450310144 4528538252 4751253248 4847659264 5175472288 5430003712 5525452996 5540182016 5637568028 5914825472 6079578176 6314803424 6319092724 6378573824 6490697192 6629867776 6809911808 6948089344 7070223727 7221820256 7417939648 7576991744 7710181052 7782756352 7866625636 7940673536 8080255688 8253508864 8477645312 8483403712 8811635488 8900620288 9057076504 9502506496 9669542743 9695318528 9865744049 10350944576 10860007424 11050905992 11080364032 11275136056 11829650944 12037594027 12159156352 12629606848 12638185448 12981394384 13259735552 13492816841 13619823616 13766594863 13896178688 14140447454 14443640512 14835879296 15153983488 15420362104 15733251272 16160511376 16507017728 16797180149 16955290624 16966807424 17623270976 18114153008 19005012992 19339085486 19390637056 19731488098 20701889152 22101811984 22550272112 23659301888 24075188054 24318312704 25259213696 25276370896 25962788768 26519471104 26985633682 27239647232 27533189726 27792357376 28280894908 28887281024 29671758592 30840724208 31466502544 32321022752 33014035456 33594360298 33910581248 33933614848 35246541952 36228306016 38010025984 38678170972 38781274112 39462976196 41403778304 44203623968 45100544224 47318603776 48150376108 48636625408 49491566089 50518427392 50552741792 51925577536 53038942208 53971267364 54479294464 55066379452 55584714752 56561789816 57774562048 59343517184 61681448416 62933005088 64642045504 66028070912 67188720596 67821162496 67867229696 69060208343 70493083904 72456612032 76020051968 77356341944 77562548224 78925952392 82807556608 84263158189 88407247936 90201088448 94637207552 96300752216 96366164041 97273250816 98983132178 101036854784 101105483584 103851155072 106077884416 107942534728 110132758904 113123579632 115549124096 117580261043 118687034368 123362896832 125866010176 129284091008 132056141824 134377441192 135734459392 138120416686 140986167808 143464440289 144913224064 154712683888 157851904784 165615113216 168526316378 176814495872 180402176896 192601504432 192732328082 194546501632 197966264356 202073709568 202210967168 207702310144 215885069456 220265517808 226247159264 231098248192 235160522086 237374068736 246725793664 251732020352 258568182016 268754882384 271468918784 276240833372 281972335616 286928880578 289826448128 309425367776 315703809568 331230226432 337052632756 353628991744 360804353792 385203008864 385464656164 389093003264 395932528712 404147419136 404421934336 415404620288 431770138912 440531035616 452494318528 462196496384 470321044172 474748137472 493451587328 503464040704 517136364032 537509764768 542937837568 552481666744 563944671232 573857761156 579652896256 589842107323 618850735552 631407619136 662460452864 674105265512 707257983488 721608707584 734293235647 770406017728 770929312328 791865057424 808294838272 808843868672 823061827301 830809240576 863540277824 881062071232 904988637056 924392992768 940642088344 986903174656 1004251082023 1006928081408 1024627989089 1034272728064 1075019529536 1104963333488 1127889342464 1147715522312 1159305792512 1179684214646 1237701471104 1262815238272 1348210531024 1414515966976 1443217415168 1468586471294 1540812035456 1541858624656 1583730114848 1617687737344 1646123654602 1661618481152 1727080555648 1762124142464 1809977274112 1881284176688 1973806349312 2008502164046 2013856162816 2049255978178 2068545456128 2150039059072 2209926666976 2295431044624 2318611585024 2359368429292 2475402942208 2525630476544 2696421062048 2829031933952 2886434830336 2937172942588 3081624070912 3083717249312 3167460229696 3235375474688 3292247309204 3323236962304 3454161111296 3524248284928 3619954548224 3762568353376 3947612698624 4017004328092 4027712325632 4098511956356 4137090912256 4300078118144 4419853333952 4590862089248 4637223170048 4718736858584 4950805884416 5051260953088 5140052649529 5392842124096 5658063867904 5772869660672 5874345885176 6163248141824 6167434498624 6334920459392 6470750949376 6584494618408 6908322222592 7029757574161 7048496569856 7172395923623 7239909096448 7525136706752 7895225397248 8034008656184 8055424651264 8197023912712 8600156236288 8751330857629 8839706667904 9181724178496 9437473717168 9901611768832 10102521906176 10280105299058 10785684248192 11748691770352 12326496283648 12334868997248 12669840918784 13168989236816 13816644445184 14059515148322 14096993139712 14344791847246 14479818192896 15050273413504 16068017312368 16394047825424 17200312472576 17502661715258 17679413335808 18363448356992 18874947434336 19803223537664 20205043812352 20560210598116 21571368496384 23497383540704 24652992567296 24669737994496 25339681837568 26337978473632 27633288890368 28119030296644 28193986279424 28689583694492 28959636385792 30100546827008 32136034624736 32788095650848 34400624945152 35005323430516 35358826671616 35980368546703 36726896713984 37749894868672 39606447075328 40410087624704 41120421196232 43142736992768 46994767081408 49305985134592 49339475988992 50206771465361 50679363675136 52675956947264 55266577780736 56238060593288 56387972558848 57379167388984 60201093654016 61259316003403 64272069249472 65576191301696 68801249890304 70010646861032 70717653343232 71960737093406 73453793427968 75499789737344 82240842392464 86285473985536 93989534162816 98678951977984 100413542930722 101358727350272 105351913894528 112476121186576 114758334777968 120402187308032 122518632006806 128544138498944 131152382603392 140021293722064 141435306686464 143921474186812 146907586855936 150999579474688 164481684784928 172570947971072 187979068325632 197357903955968 200827085861444 202717454700544 210703827789056 224952242373152 229516669555936 240804374616064 245037264013612 257088276997888 262304765206784 280042587444128 282870613372928 287842948373624 293815173711872 301999158949376 328963369569856 345141895942144 375958136651264 394715807911936 401654171722888 421407655578112 428815212023821 449904484746304 459033339111872 481608749232128 490074528027224 514176553995776 524609530413568 533831182315369 560085174888256 575685896747248 587630347423744 603998317898752 657926739139712 751916273302528 803308343445776 842815311156224 857630424047642 899808969492608 918066678223744 980149056054448 1028353107991552 1049219060827136 1067662364630738 1120170349776512 1151371793494496 1207996635797504 1315853478279424 1503832546605056 1606616686891552 1685630622312448 1715260848095284 1799617938985216 1836133356447488 1960298112108896 2056706215983104 2098438121654272 2135324729261476 2240340699553024 2302743586988992 2415993271595008 2631706956558848 3007665093210112 3213233373783104 3371261244624896 3430521696190568 3599235877970432 3672266712894976 3736818276207583 3920596224217792 4113412431966208 4196876243308544 4270649458522952 4480681399106048 4605487173977984 5263413913117696 6426466747566208 6861043392381136 7198471755940864 7344533425789952 7473636552415166 7841192448435584 8541298917045904 8961362798212096 9210974347955968 10526827826235392 12852933495132416 13722086784762272 14396943511881728 14689066851579904 14947273104830332 15682384896871168 17082597834091808 17922725596424192 18421948695911936 21053655652470784 25705866990264832 26157727933453081 27444173569524544 28793887023763456 29378133703159808 29894546209660664 31364769793742336 34165195668183616 35845451192848384 36843897391823872 51411733980529664 52315455866906162 54888347139049088 59789092419321328 62729539587484672 68330391336367232 73687794783647744 102823467961059328 104630911733812324 109776694278098176 119578184838642656 125459079174969344 136660782672734464 147375589567295488 205646935922118656 209261823467624648 219553388556196352 239156369677285312 250918158349938688 273321565345468928 418523646935249296 439106777112392704 478312739354570624 546643130690937856 837047293870498592 878213554224785408 956625478709141248 1093286261381875712 1674094587740997184 1756427108449570816 1913250957418282496 2186572522763751424 3348189175481994368 3826501914836564992 6696378350963988736 7653003829673129984 13392756701927977472 15306007659346259968 26785513403855954944 53571026807711909888 107142053615423819776
- Sum of all divisors σ(n): 254228688373878899811
- Sum of proper divisors (its aliquot sum) s(n): 147086634758455080035
- 107142053615423819776 is an abundant number, because the sum of its proper divisors (147086634758455080035) is greater than itself. Its abundance is 39944581143031260259
Bases of 107142053615423819776
- Binary: 10111001110111001010000101000011001101011010011000110010000000000002
- Hexadecimal: 0x5CEE50A19AD319000
- Base-36: MM0JK7ZS8AR5S
Squares and roots of 107142053615423819776
- 107142053615423819776 squared (1071420536154238197762) is 11479419652930352410551758203682528690176
- 107142053615423819776 cubed (1071420536154238197763) is 1229928595928213714898095908893710685559903607470823965720576
-
107142053615423819776 is a
perfect square number . Itssquare root is 10350944576 -
The
cube root of 107142053615423819776 is 4749559.3846572493
Scales and comparisons
How big is 107142053615423819776?- 107,142,053,615,423,819,776 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 107,142,053,615,423,819,776 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 107142053615423819776 cubic inches would be around 395796.6 feet tall.
Recreational maths with 107142053615423819776
- 107142053615423819776 backwards is 677918324516350241701
- The number of decimal digits it has is: 21
- The sum of 107142053615423819776's digits is 82
- More coming soon!
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"Number 107142053615423819776 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 107142053615423819776 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/107142053615423819776/
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The information we have on file for 107142053615423819776 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 107142053615423819776, math, Factors of 107142053615423819776, curriculum, school, college, exams, university, Prime factorization of 107142053615423819776, STEM, science, technology, engineering, physics, economics, calculator, one hundred seven quintillion, one hundred forty-two quadrillion, fifty-three trillion, six hundred fifteen billion, four hundred twenty-three million, eight hundred nineteen thousand, seven hundred seventy-six.