138083585739531250
138,083,585,739,531,250 is an even composite number composed of six prime numbers multiplied together.
What does the number 138083585739531250 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
138083585739531250 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138083585739531250:
2 × 57 × 74 × 13 × 172 × 3132
(2 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 13 × 17 × 17 × 313 × 313)See below for interesting mathematical facts about the number 138083585739531250 from the Numbermatics database.
Names of 138083585739531250
- Cardinal: 138083585739531250 can be written as One hundred thirty-eight quadrillion, eighty-three trillion, five hundred eighty-five billion, seven hundred thirty-nine million, five hundred thirty-one thousand, two hundred fifty.
Scientific notation
- Scientific notation: 1.3808358573953125 × 1017
Factors of 138083585739531250
Divisors of 138083585739531250
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 5 7 10 13 14 17 25 26 34 35 49 50 65 70 85 91 98 119 125 130 170 175 182 221 238 245 250 289 313 325 343 350 425 442 455 490 578 595 625 626 637 650 686 833 850 875 910 1105 1190 1225 1250 1274 1445 1547 1565 1625 1666 1715 1750 2023 2125 2191 2210 2275 2401 2450 2890 2975 3094 3125 3130 3185 3250 3430 3757 4046 4069 4165 4250 4375 4382 4459 4550 4802 5321 5525 5831 5950 6125 6250 6370 7225 7514 7735 7825 8125 8138 8330 8575 8750 8918 10115 10625 10642 10829 10955 11050 11375 11662 12005 12250 14161 14450 14875 15337 15470 15625 15650 15925 16250 17150 18785 20230 20345 20825 21250 21658 21875 21910 22295 22750 24010 26299 26605 27625 28322 28483 29155 29750 30625 30674 31213 31250 31850 36125 37247 37570 38675 39125 40625 40690 40817 41650 42875 43750 44590 50575 52598 53125 53210 54145 54775 55250 56875 56966 58310 60025 61250 62426 69173 70805 72250 74375 74494 75803 76685 77350 78125 78250 79625 81250 81634 85750 90457 93925 97969 99127 101150 101725 104125 106250 107359 108290 109375 109550 111475 113750 120050 131495 133025 138125 138346 141610 142415 145775 148750 151606 153125 153370 156065 156250 159250 180625 180914 184093 186235 187850 193375 195625 195938 198254 199381 203125 203450 204085 208250 214375 214718 218750 222950 252875 260729 262990 265625 266050 270725 273875 276250 284375 284830 291550 300125 306250 312130 345865 354025 361250 368186 371875 372470 379015 383425 386750 391250 398125 398762 406250 408170 428750 452285 469625 484211 489845 495635 505750 508625 520625 521458 530621 531250 536795 541450 546875 547750 557375 568750 600250 633199 657475 665125 685783 690625 691730 693889 708050 712075 728875 743750 751513 758030 765625 766850 780325 796250 903125 904570 920465 931175 939250 966875 968422 978125 979690 991270 996905 1015625 1017250 1020425 1041250 1061242 1071875 1073590 1093750 1114750 1175941 1264375 1266398 1273597 1288651 1303645 1314950 1328125 1330250 1353625 1369375 1371566 1381250 1387778 1395667 1421875 1424150 1457750 1500625 1503026 1531250 1560650 1665473 1729325 1770125 1806250 1825103 1840930 1859375 1862350 1895075 1917125 1933750 1956250 1990625 1993810 2031250 2040850 2143750 2261425 2348125 2351882 2421055 2449225 2478175 2528750 2543125 2547194 2577302 2603125 2607290 2653105 2656250 2683975 2707250 2738750 2786875 2791334 2843750 3001250 3165995 3287375 3325625 3330946 3389477 3428915 3453125 3458650 3469445 3540250 3560375 3644375 3650206 3718750 3757565 3790150 3828125 3834250 3901625 3981250 4432393 4515625 4522850 4602325 4655875 4696250 4800481 4834375 4842110 4890625 4898450 4956350 4984525 5086250 5102125 5206250 5306210 5359375 5367950 5573750 5879705 6321875 6331990 6367985 6443255 6518225 6574750 6651250 6768125 6778954 6846875 6857830 6906250 6938890 6978335 7109375 7120750 7288750 7503125 7515130 7656250 7803250 8231587 8327365 8646625 8850625 8864786 8915179 9020557 9031250 9125515 9204650 9296875 9311750 9475375 9585625 9600962 9668750 9769669 9781250 9953125 9969050 10204250 10718750 11307125 11658311 11740625 11759410 12105275 12246125 12390875 12643750 12715625 12735970 12775721 12886510 13015625 13036450 13265525 13419875 13536250 13693750 13934375 13956670 14218750 15006250 15829975 16436875 16463174 16628125 16654730 16947385 17144575 17265625 17293250 17347225 17701250 17801875 17830358 18041114 18221875 18251030 18593750 18787825 18950750 19171250 19508125 19539338 19906250 21651149 22161965 22578125 22614250 23011625 23279375 23316622 23481250 23726339 24002405 24171875 24210550 24453125 24492250 24781750 24922625 25431250 25510625 25551442 26031250 26531050 26796875 26839750 27868750 28313041 29398525 31026751 31609375 31659950 31839925 32216275 32591125 32873750 33256250 33603367 33840625 33894770 34234375 34289150 34531250 34694450 34891675 35603750 36443750 37515625 37575650 39016250 41157935 41636825 43233125 43302298 44253125 44323930 44575895 45102785 45156250 45627575 46023250 46558750 47376875 47452678 47928125 48004810 48343750 48848345 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117423906250 123869554375 126247849819 128618546875 128824336550 130115078125 132613287625 135319681250 135742035625 135959222882 138512281250 139299671875 140946203125 141171717050 142586171875 142814309750 147014730625 148289618750 150015031250 152651078125 152895319850 173417376125 176956506250 180065965625 180354071170 182161109375 183740781250 185658602675 189447553750 193917193750 195019540625 198999531250 199620640625 199940033650 201351718750 207605466250 210021043750 218072968750 230043458125 242784326575 247739108750 252092351875 252495699638 255025553125 257237093750 259922043745 260230156250 264802890625 265226575250 271484071250 273027356875 278599343750 281892406250 285172343750 294029461250 305302156250 322060841375 338299203125 339898057205 346280703125 346834752250 352929292625 357035774375 360131931250 364322218750 370724046875 371317205350 375037578125 382238299625 390039081250 399241281250 442391265625 450885177925 460086916250 473618884375 484792984375 485568653150 499850084125 504184703750 510051106250 519013665625 519844087490 525052609375 529605781250 546054713750 619347771875 631239249095 643092734375 644121682750 663066438125 676598406250 678710178125 679796114410 692561406250 696498359375 704731015625 705858585250 714071548750 735073653125 741448093750 750075156250 763255390625 764476599250 867086880625 883734948733 884782531250 900329828125 901770355850 910805546875 928293013375 947237768750 969585968750 975097703125 998103203125 999700168250 1038027331250 1050105218750 1150217290625 1213921632875 1238695543750 1260461759375 1262478498190 1275127765625 1286185468750 1299610218725 1326132876250 1357420356250 1365136784375 1392996718750 1409462031250 1470147306250 1526510781250 1610304206875 1691496015625 1699490286025 1734173761250 1764646463125 1767469897466 1785178871875 1800659656250 1821611093750 1853620234375 1856586026750 1911191498125 1950195406250 1996206406250 2211956328125 2254425889625 2300434581250 2368094421875 2423964921875 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17851788718750 18376841328125 19111914981250 21677172015625 22093373718325 22544258896250 23207325334375 23680944218750 24992504206250 25950683281250 28755432265625 30348040821875 30967388593750 31511543984375 31561962454750 32490255468125 33153321906250 33935508906250 34128419609375 36753682656250 40257605171875 42487257150625 43354344031250 44116161578125 44186747436650 44629471796875 46414650668750 47779787453125 56360647240625 57510864531250 60696081643750 62481260515625 63023087968750 64980510936250 68256839218750 78904906136875 80515210343750 82883304765625 84974514301250 88232323156250 89258943593750 95559574906250 108385860078125 110466868591625 112721294481250 116036626671875 124962521031250 151740204109375 157809812273750 162451277340625 165766609531250 201288025859375 212436285753125 216771720156250 220580807890625 220933737183250 232073253343750 238898937265625 281803236203125 303480408218750 312406302578125 324902554681250 394524530684375 402576051718750 424872571506250 441161615781250 477797874531250 552334342958125 563606472406250 580183133359375 624812605156250 758701020546875 789049061368750 812256386703125 1062181428765625 1104668685916250 1160366266718750 1409016181015625 1517402041093750 1624512773406250 1972622653421875 2124362857531250 2761671714790625 2818032362031250 3945245306843750 4061281933515625 5310907143828125 5523343429581250 8122563867031250 9863113267109375 10621814287656250 13808358573953125 19726226534218750 27616717147906250 69041792869765625 138083585739531250
- Sum of all divisors σ(n): 346639548792084912
- Sum of proper divisors (its aliquot sum) s(n): 208555963052553662
- 138083585739531250 is an abundant number, because the sum of its proper divisors (208555963052553662) is greater than itself. Its abundance is 70472377313022412
Bases of 138083585739531250
- Binary: 1111010101001001001001010001001010101000100100011111100102
- Hexadecimal: 0x1EA924A255123F2
- Base-36: 11RMJNK8S8VM
Squares and roots of 138083585739531250
- 138083585739531250 squared (1380835857395312502) is 19067076650686477985968969726562500
- 138083585739531250 cubed (1380835857395312503) is 2632850313497280620654159461661334369659423828125000
-
The
square root of 138083585739531250 is 371595998.0133414327 -
The
cube root of 138083585739531250 is 516869.2379430245
Scales and comparisons
How big is 138083585739531250?- 138,083,585,739,531,250 seconds is equal to 4,390,630,905 years, 49 weeks, 2 hours, 14 minutes, 10 seconds.
-
To count from 1 to 138,083,585,739,531,250 would take you about thirteen billion, one hundred seventy-one million, eight hundred ninety-two thousand, seven hundred seventeen 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 138083585739531250 cubic inches would be around 43072.4 feet tall.
Recreational maths with 138083585739531250
- 138083585739531250 backwards is 052135937585380831
- The number of decimal digits it has is: 18
- The sum of 138083585739531250's digits is 76
- More coming soon!
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"Number 138083585739531250 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 138083585739531250 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138083585739531250/
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Numbermatics. 2024. "Number 138083585739531250 - Facts about the integer". https://numbermatics.com/n/138083585739531250/
The information we have on file for 138083585739531250 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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