138056394647575040
138,056,394,647,575,040 is an even composite number composed of eight prime numbers multiplied together.
138056394647575040 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138056394647575040:
29 × 5 × 7 × 13 × 37 × 83 × 12959 × 14891
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 37 × 83 × 12959 × 14891)See below for interesting mathematical facts about the number 138056394647575040 from the Numbermatics database.
Names of 138056394647575040
- Cardinal: 138056394647575040 can be written as One hundred thirty-eight quadrillion, fifty-six trillion, three hundred ninety-four billion, six hundred forty-seven million, five hundred seventy-five thousand and forty.
Scientific notation
- Scientific notation: 1.3805639464757504 × 1017
Factors of 138056394647575040
Divisors of 138056394647575040
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 37 40 52 56 64 65 70 74 80 83 91 104 112 128 130 140 148 160 166 182 185 208 224 256 259 260 280 296 320 332 364 370 415 416 448 455 481 512 518 520 560 581 592 640 664 728 740 830 832 896 910 962 1036 1040 1079 1120 1162 1184 1280 1295 1328 1456 1480 1660 1664 1792 1820 1924 2072 2080 2158 2240 2324 2368 2405 2560 2590 2656 2905 2912 2960 3071 3320 3328 3367 3584 3640 3848 4144 4160 4316 4480 4648 4736 4810 5180 5312 5395 5810 5824 5920 6142 6640 6656 6734 7280 7553 7696 8288 8320 8632 8960 9296 9472 9620 10360 10624 10790 11620 11648 11840 12284 12959 13280 13468 14560 14891 15106 15355 15392 16576 16640 16835 17264 17920 18592 18944 19240 20720 21248 21497 21580 23240 23296 23680 24568 25918 26560 26936 29120 29782 30212 30710 30784 33152 33280 33670 34528 37184 37765 38480 39923 41440 42496 42994 43160 46480 46592 47360 49136 51836 53120 53872 58240 59564 60424 61420 61568 64795 66304 67340 69056 74368 74455 75530 76960 79846 82880 85988 86320 90713 92960 94720 98272 103672 104237 106240 107485 107744 116480 119128 120848 122840 123136 129590 132608 134680 138112 148736 148910 151060 153920 159692 165760 168467 171976 172640 181426 185920 193583 196544 199615 207344 208474 212480 214970 215488 232960 238256 241696 245680 246272 259180 269360 276224 279461 297472 297820 302120 307840 319384 331520 336934 343952 345280 362852 371840 387166 393088 399230 414688 416948 429940 430976 453565 476512 479483 483392 491360 518360 521185 538720 550967 552448 558922 595640 604240 615680 638768 663040 673868 687904 690560 725704 743680 774332 786176 798460 829376 833896 842335 859880 861952 907130 953024 958966 966784 967915 982720 1036720 1042370 1075597 1077440 1101934 1117844 1179269 1191280 1208480 1231360 1235953 1277536 1347736 1355081 1375808 1381120 1397305 1451408 1487360 1548664 1572352 1596920 1658752 1667792 1684670 1719760 1723904 1814260 1906048 1917932 1933568 1935830 1965440 2073440 2084740 2151194 2154880 2203868 2235688 2358538 2382560 2397415 2416960 2471906 2555072 2695472 2710162 2751616 2754835 2762240 2794610 2902816 3097328 3193840 3317504 3335584 3356381 3369340 3439520 3628520 3812096 3835864 3856769 3867136 3871660 3930880 4146880 4169480 4302388 4309760 4407736 4471376 4717076 4765120 4794830 4833920 4943812 5110144 5377985 5390944 5420324 5503232 5509670 5589220 5805632 5896345 6179765 6194656 6233279 6387680 6635008 6671168 6712762 6738680 6775405 6879040 7162571 7257040 7529179 7624192 7671728 7713538 7743320 7861760 8293760 8338960 8604776 8619520 8651671 8815472 8942752 9434152 9530240 9589660 9667840 9887624 10220288 10755970 10781888 10840648 11006464 11019340 11178440 11611264 11792690 12359530 12389312 12466558 12775360 13342336 13425524 13477360 13550810 13758080 13982761 14325142 14514080 15058358 15343456 15427076 15486640 16067389 16587520 16677920 16781905 17209552 17303342 17630944 17885504 18868304 19060480 19179320 19283845 19335680 19775248 20440576 21511940 21563776 21681296 22038680 22356880 23222528 23585380 24719060 24778624 24933116 25550720 26684672 26851048 26954720 27101620 27516160 27965522 28650284 29028160 30116716 30686912 30854152 30973280 31166395 32134778 33175040 33355840 33563810 34419104 34606684 35261888 35771008 35812855 37645895 37736608 38120960 38358640 38567690 39550496 39797089 43023880 43127552 43258355 43362592 43632953 44077360 44713760 45730261 46445056 47170760 49438120 49557248 49866232 50137997 51101440 53369344 53702096 53909440 54203240 55032320 55931044 57300568 58056320 60233432 61373824 61708304 61946560 62332790 64269556 66711680 67127620 68838208 69213368 69913805 70523776 71542016 71625710 75291790 75473216 76717280 77135380 79100992 79594178 80336945 86047760 86255104 86516710 86725184 87265906 88154720 89427520 91460522 94341520 97879327 98876240 99114496 99732464 100275994 102202880 107404192 107818880 108406480 111862088 112471723 114601136 116112640 120466864 122747648 123416608 123893120 124665580 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2701614566 2753528320 2768534720 2785796230 2792508992 2926736704 2972466965 3018928640 3087559504 3132138464 3164039680 3183767120 3191438848 3201118270 3208831808 3469007360 3490636240 3579586816 3599095136 3621535099 3658420880 3667236352 3854939648 3859449380 3915173080 3989298560 4011039760 4113251584 4138897256 4161453751 4296167680 4429655552 4457273968 4474483520 4498868920 4584045440 4755947144 4818674560 4936664320 5017284194 5094027392 5121789232 5141564480 5173621570 5403229132 5537069440 5571592460 5585017984 5853473408 5944933930 6175119008 6264276928 6367534240 6402236540 6417663616 6754036415 6981272480 7139981353 7159173632 7198190272 7243070198 7316841760 7718898760 7830346160 7978597120 8022079520 8226503168 8277794512 8322907502 8592335360 8914547936 8948967040 8997737840 9168090880 9511894288 9637349120 9873328640 10034568388 10188054784 10243578464 10283128960 10347243140 10806458264 11074138880 11143184920 11170035968 11706946816 11889867860 12350238016 12528553856 12543210485 12735068480 12804473080 12835327232 13508072830 13962544960 14279962706 14396380544 14486140396 14633683520 15437797520 15660692320 15957194240 16016714927 16044159040 16555589024 16645815004 17560494679 17829095872 17897934080 17995475680 18107675495 18336181760 19023788576 19274698240 20069136776 20376109568 20487156928 20566257920 20694486280 20807268755 21612916528 22148277760 22286369840 22340071936 23413893632 23779735720 24700476032 25057107712 25086420970 25470136960 25608946160 25670654464 27016145660 27925089920 28559925412 28792761088 28972280792 29267367040 30875595040 31321384640 32033429854 32088318080 33111178048 33291630008 35120989358 35658191744 35699906765 35795868160 35990951360 36215350990 38047577152 40138273552 40974313856 41132515840 41388972560 41614537510 43225833056 44572739680 47559471440 49400952064 49979869471 50114215424 50172841940 50940273920 51217892320 54032291320 55850179840 57119850824 57585522176 57944561584 58534734080 61751190080 62642769280 64066859708 64176636160 66222356096 66583260016 70241978716 71316383488 71399813530 71981902720 72430701980 76095154304 80083574635 80276547104 81948627712 82777945120 83229075020 86451666112 87802473395 89145479360 92819757589 95118942880 98801904128 99959738942 100345683880 101880547840 102435784640 108064582640 111700359680 112117004489 114239701648 115889123168 117069468160 123502380160 125285538560 128133719416 128353272320 132444712192 133166520032 140483957432 142632766976 142799627060 143963805440 144861403960 152190308608 160167149270 160553094208 163897255424 165555890240 166458150040 172903332224 175604946790 178290958720 185639515178 190237885760 199919477884 200691367760 204871569280 208217294051 216129165280 224234008978 228479403296 231778246336 247004760320 249899347355 250571077120 256267438832 264889424384 266333040064 280967914864 285599254120 287927610880 289722807920 304380617216 320334298540 321106188416 331111780480 332916300080 345806664448 351209893580 356581917440 371279030356 380475771520 399838955768 401382735520 409743138560 416434588102 432258330560 448468017956 456958806592 463556492672 464098787945 494009520640 499798694710 512534877664 532666080128 560585022445 561935829728 571198508240 579445615840 592618452299 640668597080 642212376832 649738303123 662223560960 665832600160 691613328896 702419787160 713163834880 742558060712 760951543040 799677911536 802765471040 819486277120 832869176204 864516661120 896936035912 913917613184 927112985344 928197575890 999597389420 1025069755328 1041086470255 1065332160256 1121170044890 1123871659456 1142397016480 1158891231680 1185236904598 1281337194160 1284424753664 1299476606246 1324447121920 1331665200320 1404839574320 1457521058357 1485116121424 1521903086080 1599355823072 1605530942080 1665738352408 1729033322240 1793872071824 1827835226368 1854225970688 1856395151780 1999194778840 2050139510656 2082172940510 2130664320512 2242340089780 2247743318912 2284794032960 2317782463360 2370473809196 2562674388320 2598953212492 2663330400640 2809679148640 2915042116714 2963092261495 2970232242848 3198711646144 3211061884160 3248691515615 3331476704816 3458066644480 3587744143648 3655670452736 3712790303560 3998389557680 4100279021312 4148329166093 4164345881020 4484680179560 4495486637824 4569588065920 4635564926720 4740947618392 5125348776640 5197906424984 5326660801280 5619358297280 5830084233428 5926184522990 5940464485696 6397423292288 6422123768320 6497383031230 6662953409632 7175488287296 7287605291785 7425580607120 7704039879887 7996779115360 8200558042624 8296658332186 8328691762040 8969360359120 8990973275648 9139176131840 9271129853440 9481895236784 10250697553280 10395812849968 10653321602560 11238716594560 11660168466856 11852369045980 11880928971392 12794846584576 12994766062460 13325906819264 14350976574592 14575210583570 14851161214240 15408079759774 15993558230720 16593316664372 16657383524080 17938720718240 18278352263680 18963790473568 20501395106560 20741645830465 20791625699936 22477433189120 23320336933712 23704738091960 23761857942784 25589693169152 25989532124920 26651813638528 28701953149184 29150421167140 29702322428480 30816159519548 31987116461440 33186633328744 33314767048160 35877441436480 37927580947136 38520199399435 41002790213120 41483291660930 41583251399872 44954866378240 46640673867424 47409476183920 47523715885568 51979064249840 53303627277056 53928279159209 57403906298368 58300842334280 59404644856960 61632319039096 63974232922880 66373266657488 66629534096320 71754882872960 75855161894272 77040398798870 82966583321860 83166502799744 93281347734848 94818952367840 103958128499680 106607254554112 107856558318418 116601684668560 118809289713920 123264638078192 127948465845760 132746533314976 133259068192640 143509765745920 151710323788544 154080797597740 165933166643720 166333005599488 186562695469696 189637904735680 207916256999360 215713116636836 233203369337120 237618579427840 246529276156384 265493066629952 266518136385280 269641395796045 287019531491840 303420647577088 308161595195480 331866333287440 332666011198976 373125390939392 379275809471360 415832513998720 431426233273672 466406738674240 493058552312768 530986133259904 533036272770560 539282791592090 616323190390960 663732666574880 746250781878784 758551618942720 831665027997440 862852466547344 932813477348480 986117104625536 1061972266519808 1078565583184180 1232646380781920 1327465333149760 1517103237885440 1663330055994880 1725704933094688 1865626954696960 1972234209251072 2123944533039616 2157131166368360 2465292761563840 2654930666299520 3451409866189376 3731253909393920 3944468418502144 4314262332736720 4930585523127680 5309861332599040 6902819732378752 8628524665473440 9861171046255360 10619722665198080 13805639464757504 17257049330946880 19722342092510720 27611278929515008 34514098661893760 69028197323787520 138056394647575040
- Sum of all divisors σ(n): 423512095731056640
- Sum of proper divisors (its aliquot sum) s(n): 285455701083481600
- 138056394647575040 is an abundant number, because the sum of its proper divisors (285455701083481600) is greater than itself. Its abundance is 147399306435906560
Bases of 138056394647575040
- Binary: 1111010100111100110001111001110011111000010011010000000002
- Hexadecimal: 0x1EA798F39F09A00
- Base-36: 11RCWO5AOQGW
Squares and roots of 138056394647575040
- 138056394647575040 squared (1380563946475750402) is 19059568103086986152964952431001600
- 138056394647575040 cubed (1380563946475750403) is 2631295255852110153345552922491339893334358360064000
-
The
square root of 138056394647575040 is 371559409.3110481841 -
The
cube root of 138056394647575040 is 516835.3088280057
Scales and comparisons
How big is 138056394647575040?- 138,056,394,647,575,040 seconds is equal to 4,389,766,313 years, 16 weeks, 6 days, 15 hours, 17 minutes, 20 seconds.
-
To count from 1 to 138,056,394,647,575,040 would take you about thirteen billion, one hundred sixty-nine million, two hundred ninety-eight thousand, nine hundred thirty-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 138056394647575040 cubic inches would be around 43069.6 feet tall.
Recreational maths with 138056394647575040
- 138056394647575040 backwards is 040575746493650831
- The number of decimal digits it has is: 18
- The sum of 138056394647575040's digits is 77
- More coming soon!
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"Number 138056394647575040 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138056394647575040 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138056394647575040/
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The information we have on file for 138056394647575040 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 138056394647575040, math, Factors of 138056394647575040, curriculum, school, college, exams, university, Prime factorization of 138056394647575040, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, fifty-six trillion, three hundred ninety-four billion, six hundred forty-seven million, five hundred seventy-five thousand and forty.