138166068767314140
138,166,068,767,314,140 is an even composite number composed of six prime numbers multiplied together.
What does the number 138166068767314140 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
138166068767314140 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138166068767314140:
22 × 35 × 5 × 72 × 312 × 245712
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 31 × 31 × 24571 × 24571)See below for interesting mathematical facts about the number 138166068767314140 from the Numbermatics database.
Names of 138166068767314140
- Cardinal: 138166068767314140 can be written as One hundred thirty-eight quadrillion, one hundred sixty-six trillion, sixty-eight billion, seven hundred sixty-seven million, three hundred fourteen thousand, one hundred forty.
Scientific notation
- Scientific notation: 1.3816606876731414 × 1017
Factors of 138166068767314140
Divisors of 138166068767314140
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 31 35 36 42 45 49 54 60 62 63 70 81 84 90 93 98 105 108 124 126 135 140 147 155 162 180 186 189 196 210 217 243 245 252 270 279 294 310 315 324 372 378 405 420 434 441 465 486 490 540 558 567 588 620 630 651 735 756 810 837 868 882 930 945 961 972 980 1085 1116 1134 1215 1260 1302 1323 1395 1470 1519 1620 1674 1701 1764 1860 1890 1922 1953 2170 2205 2268 2430 2511 2604 2646 2790 2835 2883 2940 3038 3255 3348 3402 3780 3844 3906 3969 4185 4340 4410 4557 4805 4860 5022 5292 5580 5670 5766 5859 6076 6510 6615 6727 6804 7533 7595 7812 7938 8370 8505 8649 8820 9114 9610 9765 10044 11340 11532 11718 11907 12555 13020 13230 13454 13671 14415 15066 15190 15876 16740 17010 17298 17577 18228 19220 19530 19845 20181 22785 23436 23814 24571 25110 25947 26460 26908 27342 28830 29295 30132 30380 33635 34020 34596 35154 37665 39060 39690 40362 41013 43245 45570 47089 47628 49142 50220 51894 52731 54684 57660 58590 59535 60543 67270 68355 70308 73713 75330 77841 79380 80724 82026 86490 87885 91140 94178 98284 100905 103788 105462 117180 119070 121086 122855 123039 129735 134540 136710 141267 147426 150660 155682 164052 171997 172980 175770 181629 188356 201810 205065 210924 221139 233523 235445 238140 242172 245710 246078 259470 263655 273420 282534 294852 302715 311364 343994 351540 363258 368565 369117 389205 403620 410130 423801 442278 467046 470890 491420 492156 515991 518940 527310 544887 565068 605430 615195 663417 687988 706335 726516 737130 738234 761701 778410 820260 847602 859985 884556 908145 934092 941780 1031982 1054620 1089774 1105695 1167615 1203979 1210860 1230390 1271403 1326834 1412670 1474260 1476468 1523402 1547973 1556820 1634661 1695204 1719970 1816290 1845585 1990251 2063964 2119005 2179548 2211390 2285103 2335230 2407958 2460780 2542806 2579955 2653668 2724435 2825340 3046804 3095946 3269322 3317085 3439940 3611937 3632580 3691170 3808505 3814209 3980502 4238010 4422780 4570206 4643919 4670460 4815916 5085612 5159910 5331907 5448870 5970753 6019895 6191892 6357015 6538644 6634170 6855309 7223874 7382340 7617010 7628418 7739865 7961004 8173305 8476020 9140412 9287838 9951255 10319820 10663814 10835811 10897740 11425515 11442627 11941506 12039790 12714030 13268340 13710618 13931757 14447748 15234020 15256836 15479730 15995721 16346610 18059685 18575676 19071045 19902510 20565927 21327628 21671622 22851030 22885254 23219595 23612731 23883012 24079580 25428060 26659535 27421236 27863514 29853765 30959460 31991442 32507433 32693220 34276545 36119370 37323349 38142090 39805020 41131854 41795271 43343244 45702060 45770508 46439190 47225462 47987163 53319070 54179055 55727028 57213135 59707530 61697781 63982884 65014866 68553090 69658785 70838193 72238740 74646698 76284180 79978605 82263708 83590542 92878380 94450924 95974326 97522299 102829635 106638140 108358110 111970047 114426270 118063655 119415060 123395562 130029732 137106180 139317570 141676386 143961489 149293396 159957210 162537165 165289117 167181084 185093343 186616745 191948652 195044598 205659270 208976355 212514579 216716220 223940094 228852540 236127310 239935815 246791124 278635140 283352772 287922978 292566897 308488905 319914420 325074330 330578234 335910141 354190965 370186686 373233490 390089196 411318540 417952710 425029158 431884467 447880188 472254620 479871630 487611495 495867351 559850235 575845956 585133794 603734041 616977810 637543737 650148660 661156468 671820282 708381930 719807445 740373372 746466980 826445585 835905420 850058316 863768934 925466715 959743260 975222990 991734702 1007730423 1062572895 1119700470 1157023819 1170267588 1207468082 1233955620 1275087474 1295653401 1343640564 1416763860 1439614890 1462834485 1487602053 1652891170 1679550705 1727537868 1811202123 1850933430 1912631211 1950445980 1983469404 2015460846 2125145790 2159422335 2239400940 2314047638 2414936164 2479336755 2550174948 2591306802 2879229780 2925668970 2975204106 3018670205 3023191269 3187718685 3305782340 3359101410 3471071457 3622404246 3701866860 3825262422 4030921692 4226138287 4250291580 4318844670 4462806159 4628095276 4958673510 5038652115 5182613604 5433606369 5737893633 5785119095 5851337940 5950408212 6037340410 6046382538 6375437370 6478267005 6718202820 6942142914 7244808492 7438010265 7650524844 8452276574 8637689340 8925612318 9056010615 9069573807 9563156055 9917347020 10077304230 10413214371 10867212738 11475787266 11570238190 12074680820 12092765076 12678414861 12750874740 12956534010 13388418477 13884285828 14876020530 15115956345 16300819107 16904553148 17355357285 17851224636 18112021230 18139147614 18715755271 19126312110 20154608460 20826428742 21130691435 21734425476 22314030795 22951574532 23140476380 25356829722 25913068020 26776836954 27168031845 28689468165 29582968009 29752041060 30231912690 31239643113 32601638214 34710714570 36224042460 36278295228 37431510542 38035244583 38252624220 40165255431 41652857484 42261382870 44628061590 45347869035 48902457321 50713659444 52066071855 53553673908 54336063690 56147265813 57378936330 59165936018 60463825380 62479286226 63392074305 65203276428 66942092385 69421429140 74863021084 76070489166 80330510862 81504095535 84522765740 88748904027 89256123180 90695738070 93578776355 93718929339 97804914642 104132143710 108672127380 112294531626 114105733749 114757872660 118331872036 124958572452 126784148610 131010286897 133884184770 146707371963 147914840045 152140978332 156198215565 160661021724 163008191070 168441797439 177497808054 181391476140 187157552710 187437858678 190176222915 195609829284 200826277155 208264287420 224589063252 228211467498 244512286605 253568297220 262020573794 266246712081 267768369540 280736329065 281156788017 293414743926 295829680090 312396431130 326016382140 336883594878 342317201247 354995616108 374315105420 374875717356 380352445830 393030860691 401652554310 443744520135 456422934996 468594646695 489024573210 505325392317 524041147588 532493424162 561472658130 562313576034 570528668745 580188413401 586829487852 591659360180 624792862260 655051434485 673767189756 684634402494 733536859815 760704891660 786061721382 798740136243 803305108620 842208987195 887489040270 917072008279 937189293390 978049146420 1010650784634 1026951603741 1064986848324 1122945316260 1124627152068 1141057337490 1160376826802 1179092582073 1310102868970 1331233560405 1369268804988 1405783940085 1467073719630 1515976176951 1572123442764 1597480272486 1684417974390 1711586006235 1740565240203 1774978080540 1834144016558 1874378586780 1965154303455 2021301569268 2053903207482 2282114674980 2320753653604 2358185164146 2396220408729 2526626961585 2620205737940 2662467120810 2751216024837 2811567880170 2900942067005 2934147439260 3031952353902 3194960544972 3368835948780 3423172012470 3481130480406 3537277746219 3668288033116 3930308606910 3993700681215 4061318893807 4107806414964 4547928530853 4585360041395 4716370328292 4792440817458 5053253923170 5134758018705 5221695720609 5324934241620 5502432049674 5623135760340 5801884134010 5895462910365 6063904707804 6846344024940 6962260960812 7074555492438 7188661226187 7579880884755 7860617213820 7987401362430 8122637787614 8253648074511 8702826201015 9095857061706 9170720082790 9584881634916 10106507846340 10269516037410 10443391441218 10611833238657 11004864099348 11603768268020 11790925820730 11981102043645 12183956681421 13756080124185 14149110984876 14377322452374 15159761769510 15665087161827 15974802724860 16245275575228 16507296149022 17405652402030 17686388731095 18191714123412 18341440165580 20306594469035 20539032074820 20886782882436 21223666477314 22739642654265 23581851641460 23962204087290 24367913362842 24760944223533 26108478603045 27512160248370 28429232256649 28754644904748 30319523539020 31330174323654 31835499715971 33014592298044 34811304804060 35372777462190 35943306130935 36551870044263 40613188938070 41268240372555 42447332954628 45479285308530 46995261485481 47924408174580 48735826725684 49521888447066 52216957206090 53059166193285 55024320496740 56858464513298 60919783407105 62660348647308 63670999431942 70745554924380 71886612261870 73103740088526 74282832670599 78325435809135 81226377876140 82536480745110 85287696769947 90958570617060 93990522970962 99043776894132 104433914412180 106118332386570 109655610132789 113716929026596 121839566814210 123804721117665 127341998863884 140985784456443 142146161283245 143773224523740 146207480177052 148565665341198 156650871618270 159177498579855 165072961490220 170575393539894 182759350221315 187981045941924 212236664773140 219311220265578 222848498011797 234976307427405 243679133628420 247609442235330 255863090309841 281971568912886 284292322566490 297131330682396 313301743236540 318354997159710 328966830398367 341150787079788 365518700442630 371414163352995 426438483849735 438622440531156 445696996023594 469952614854810 495218884470660 511726180619682 548278050663945 563943137825772 568584645132980 636709994319420 657933660796734 704928922282215 731037400885260 742828326705990 767589270929523 852876967699470 891393992047188 939905229709620 986900491195101 1023452361239364 1096556101327890 1114242490058985 1279315451549205 1315867321593468 1409857844564430 1485656653411980 1535178541859046 1644834151991835 1705753935398940 1973800982390202 2193112202655780 2228484980117970 2302767812788569 2558630903098410 2819715689128860 3070357083718092 3289668303983670 3837946354647615 3947601964780404 4456969960235940 4605535625577138 4934502455975505 5117261806196820 6579336607967340 6908303438365707 7675892709295230 9211071251154276 9869004911951010 11513839063942845 13816606876731414 15351785418590460 19738009823902020 23027678127885690 27633213753462828 34541517191828535 46055356255771380 69083034383657070 138166068767314140
- Sum of all divisors σ(n): 522442041097465944
- Sum of proper divisors (its aliquot sum) s(n): 384275972330151804
- 138166068767314140 is an abundant number, because the sum of its proper divisors (384275972330151804) is greater than itself. Its abundance is 246109903562837664
Bases of 138166068767314140
- Binary: 1111010101101110101001110101110001110001101010000110111002
- Hexadecimal: 0x1EADD4EB8E350DC
- Base-36: 11SFS7QPVLR0
Squares and roots of 138166068767314140
- 138166068767314140 squared (1381660687673141402) is 19089862558614179877974029443939600
- 138166068767314140 cubed (1381660687673141403) is 2637571263032062234665630479258308306603992385944000
-
The
square root of 138166068767314140 is 371706966.2614814917 -
The
cube root of 138166068767314140 is 516972.1332376775
Scales and comparisons
How big is 138166068767314140?- 138,166,068,767,314,140 seconds is equal to 4,393,253,611 years, 4 weeks, 4 days, 12 hours, 9 minutes.
-
To count from 1 to 138,166,068,767,314,140 would take you about thirteen billion, one hundred seventy-nine million, seven hundred sixty thousand, eight hundred thirty-three 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 138166068767314140 cubic inches would be around 43081 feet tall.
Recreational maths with 138166068767314140
- 138166068767314140 backwards is 041413767860661831
- The number of decimal digits it has is: 18
- The sum of 138166068767314140's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138166068767314140 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
APA style:
Numbermatics. (2024). Number 138166068767314140 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/138166068767314140/
Chicago style:
Numbermatics. 2024. "Number 138166068767314140 - Facts about the integer". https://numbermatics.com/n/138166068767314140/
The information we have on file for 138166068767314140 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 138166068767314140, math, Factors of 138166068767314140, curriculum, school, college, exams, university, Prime factorization of 138166068767314140, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred sixty-six trillion, sixty-eight billion, seven hundred sixty-seven million, three hundred fourteen thousand, one hundred forty.