138108742011317000
138,108,742,011,317,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138108742011317000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 768 divisors.
138108742011317000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138108742011317000:
23 × 53 × 73 × 113 × 173932
(2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 17393 × 17393)See below for interesting mathematical facts about the number 138108742011317000 from the Numbermatics database.
Names of 138108742011317000
- Cardinal: 138108742011317000 can be written as One hundred thirty-eight quadrillion, one hundred eight trillion, seven hundred forty-two billion, eleven million, three hundred seventeen thousand.
Scientific notation
- Scientific notation: 1.38108742011317 × 1017
Factors of 138108742011317000
Divisors of 138108742011317000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 49 50 55 56 70 77 88 98 100 110 121 125 140 154 175 196 200 220 242 245 250 275 280 308 343 350 385 392 440 484 490 500 539 550 605 616 686 700 770 847 875 968 980 1000 1078 1100 1210 1225 1331 1372 1375 1400 1540 1694 1715 1750 1925 1960 2156 2200 2420 2450 2662 2695 2744 2750 3025 3080 3388 3430 3500 3773 3850 4235 4312 4840 4900 5324 5390 5500 5929 6050 6125 6655 6776 6860 7000 7546 7700 8470 8575 9317 9625 9800 10648 10780 11000 11858 12100 12250 13310 13475 13720 15092 15125 15400 16940 17150 17393 18634 18865 19250 21175 21560 23716 24200 24500 26620 26950 29645 30184 30250 33275 33880 34300 34786 37268 37730 38500 41503 42350 42875 46585 47432 49000 53240 53900 59290 60500 65219 66550 67375 68600 69572 74536 75460 77000 83006 84700 85750 86965 93170 94325 105875 107800 118580 121000 121751 130438 133100 134750 139144 148225 150920 166012 166375 169400 171500 173930 186340 188650 191323 207515 211750 232925 237160 243502 260876 266200 269500 296450 326095 332024 332750 343000 347860 372680 377300 382646 415030 423500 434825 456533 465850 471625 487004 521752 539000 592900 608755 652190 665500 695720 741125 754600 765292 830060 847000 852257 869650 913066 931700 943250 956615 974008 1037575 1164625 1185800 1217510 1304380 1331000 1339261 1482250 1530584 1630475 1660120 1704514 1739300 1826132 1863400 1886500 1913230 2075150 2104553 2174125 2282665 2329250 2435020 2608760 2678522 2964500 3043775 3260950 3409028 3478600 3652264 3773000 3826460 4150300 4209106 4261285 4348250 4565330 4658500 4783075 4870040 5187875 5357044 5929000 5965799 6087550 6521900 6696305 6818056 7652920 8152375 8300600 8418212 8522570 8696500 9130660 9317000 9374827 9566150 10375750 10522765 10714088 11413325 11931598 12175100 13043800 13392610 14731871 15218875 16304750 16836424 17045140 17393000 18261320 18749654 19132300 20751500 21045530 21306425 22826650 23150083 23863196 23915375 24350200 26785220 29463742 29828995 30437750 32609500 33481525 34090280 37499308 38264600 41503000 42091060 42612850 45653300 46300166 46874135 47726392 47830750 52613825 53570440 57066625 58927484 59657990 60875500 65219000 65623789 66963050 73659355 74998616 84182120 85225700 91306600 92600332 93748270 95661500 103123097 105227650 106532125 114133250 115750415 117854968 119315980 121751000 131247578 133926100 147318710 149144975 162050581 167407625 170451400 185200664 187496540 191323000 206246194 210455300 213064250 228266500 231500830 234370675 238631960 262495156 263069125 267852200 294637420 298289950 302516449 324101162 328118945 334815250 368296775 374993080 412492388 420910600 426128500 456533000 463001660 468741350 515615485 524990312 526138250 578752075 589274840 596579900 605032898 648202324 656237890 669630500 721861679 736593550 745724875 810252905 824984776 852257000 926003320 937482700 1031230970 1052276500 1134354067 1157504150 1171853375 1193159800 1210065796 1296404648 1312475780 1339261000 1443723358 1473187100 1491449750 1512582245 1620505810 1640594725 1841483875 1874965400 2062461940 2104553000 2117615143 2268708134 2315008300 2343706750 2420131592 2578077425 2624951560 2887446716 2893760375 2946374200 2982899500 3025164490 3241011620 3281189450 3327680939 3609308395 3682967750 4051264525 4124923880 4235230286 4537416268 4630016600 4687413500 5156154850 5671770335 5774893432 5787520750 5965799000 6050328980 6482023240 6562378900 6655361878 7218616790 7365935500 7562911225 7940478469 8102529050 8202973625 8470460572 9074832536 9374827000 10312309700 10588075715 11343540670 11575041500 12100657960 12890387125 13124757800 13310723756 14437233580 14731871000 14823306001 15125822450 15880956938 16205058100 16405947250 16638404695 16940921144 18046541975 20256322625 20624619400 21176151430 22687081340 23150083000 23293766573 25780774250 26621447512 28358851675 28874467160 29646612002 30251644900 31761913876 32410116200 32811894500 33276809390 36093083950 36604490329 37814556125 39702392345 40512645250 42352302860 45374162680 46587533146 51561548500 52940378575 56717703350 59293224004 60503289800 63523827752 65623789000 66553618780 72186167900 73208980658 74116530005 75629112250 79404784690 81025290500 83192023475 84704605720 90232709875 93175066292 103123097000 103763142007 105880757150 113435406700 116468832865 118586448008 133107237560 141794258375 144372335800 146417961316 148233060010 151258224500 158809569380 162050581000 163056366011 166384046950 180465419750 183022451645 186350132584 198511961725 207526284014 211761514300 226870813400 232937665730 256231432303 264701892875 283588516750 292835922632 296466120020 302516449000 317619138760 326112732022 332768093900 360930839500 366044903290 370582650025 397023923450 402649393619 415052568028 415960117375 423523028600 465875331460 512462864606 518815710035 529403785750 567177033500 582344164325 592932240040 652225464044 665536187800 721861679000 732089806580 741165300050 794047846900 805298787238 815281830055 830105136056 831920234750 915112258225 931750662920 992559808625 1024925729212 1037631420070 1058807571500 1134354067000 1141394562077 1164688328650 1281157161515 1304450928088 1464179613160 1482330600100 1588095693800 1610597574476 1630563660110 1663840469500 1793620026121 1830224516450 1852913250125 1985119617250 2013246968095 2049851458424 2075262840140 2117615143000 2282789124154 2329376657300 2562314323030 2594078550175 2818545755333 2911720821625 2964661200200 3221195148952 3261127320220 3327680939000 3587240052242 3660449032900 3705826500250 3970239234500 4026493936190 4076409150275 4150525680280 4565578248308 4575561291125 4658753314600 5124628646060 5188157100350 5637091510666 5706972810385 5823441643250 6405785807575 6522254640440 7174480104484 7320898065800 7411653000500 7940478469000 8052987872380 8152818300550 8968100130605 9131156496616 9151122582250 10066234840475 10249257292120 10376314200700 11274183021332 11413945620770 11646883286500 12555340182847 12811571615150 12970392750875 14092728776665 14348960208968 14823306001000 16105975744760 16305636601100 17936200261210 18302245164500 19729820287331 20132469680950 20382045751375 20752628401400 22548366042664 22827891241540 23293766573000 25110680365694 25623143230300 25940785501750 28185457553330 28534864051925 32028929037875 32611273202200 35872400522420 36604490329000 39459640574662 40264939361900 40764091502750 44840500653025 45655782483080 50221360731388 50331174202375 51246286460600 51881571003500 56370915106660 57069728103850 62776700914235 64057858075750 70463643883325 71744801044840 78919281149324 80529878723800 81528183005500 89681001306050 98649101436655 100442721462776 100662348404750 103763142007000 112741830213320 114139456207700 125553401828470 128115716151500 138108742011317 140927287766650 142674320259625 157838562298648 163056366011000 179362002612100 197298202873310 201324696809500 224202503265125 228278912415400 251106803656940 256231432303000 276217484022634 281854575533300 285348640519250 313883504571175 352318219416625 358724005224200 394596405746620 402649393619000 448405006530250 493245507183275 502213607313880 552434968045268 563709151066600 570697281038500 627767009142350 690543710056585 704636438833250 789192811493240 896810013060500 986491014366550 1104869936090536 1141394562077000 1255534018284700 1381087420113170 1409272877666500 1569417522855875 1793620026121000 1972982028733100 2466227535916375 2511068036569400 2762174840226340 2818545755333000 3138835045711750 3452718550282925 3945964057466200 4932455071832750 5524349680452680 6277670091423500 6905437100565850 9864910143665500 12555340182847000 13810874201131700 17263592751414625 19729820287331000 27621748402263400 34527185502829250 69054371005658500 138108742011317000
- Sum of all divisors σ(n): 414563335198272000
- Sum of proper divisors (its aliquot sum) s(n): 276454593186955000
- 138108742011317000 is an abundant number, because the sum of its proper divisors (276454593186955000) is greater than itself. Its abundance is 138345851175638000
Bases of 138108742011317000
- Binary: 1111010101010100100101011010010111111010111101011000010002
- Hexadecimal: 0x1EAA92B4BF5EB08
- Base-36: 11RVGO6ZHN9K
Squares and roots of 138108742011317000
- 138108742011317000 squared (1381087420113170002) is 19074024619948517266556074489000000
- 138108742011317000 cubed (1381087420113170003) is 2634289545353978561073295490039697932992013000000000
-
The
square root of 138108742011317000 is 371629845.4259520315 -
The
cube root of 138108742011317000 is 516900.6240377405
Scales and comparisons
How big is 138108742011317000?- 138,108,742,011,317,000 seconds is equal to 4,391,430,797 years, 29 weeks, 5 days, 4 hours, 3 minutes, 20 seconds.
-
To count from 1 to 138,108,742,011,317,000 would take you about thirteen billion, one hundred seventy-four million, two hundred ninety-two thousand, three hundred ninety-two 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 138108742011317000 cubic inches would be around 43075.1 feet tall.
Recreational maths with 138108742011317000
- 138108742011317000 backwards is 000713110247801831
- The number of decimal digits it has is: 18
- The sum of 138108742011317000's digits is 47
- More coming soon!
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The information we have on file for 138108742011317000 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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