137406483086336000
137,406,483,086,336,000 is an even composite number composed of six prime numbers multiplied together.
137406483086336000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 137406483086336000:
213 × 53 × 29 × 181 × 3121 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 29 × 181 × 3121 × 8191)See below for interesting mathematical facts about the number 137406483086336000 from the Numbermatics database.
Names of 137406483086336000
- Cardinal: 137406483086336000 can be written as One hundred thirty-seven quadrillion, four hundred six trillion, four hundred eighty-three billion, eighty-six million, three hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.37406483086336 × 1017
Factors of 137406483086336000
Divisors of 137406483086336000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 181 200 232 250 256 290 320 362 400 464 500 512 580 640 724 725 800 905 928 1000 1024 1160 1280 1448 1450 1600 1810 1856 2000 2048 2320 2560 2896 2900 3121 3200 3620 3625 3712 4000 4096 4525 4640 5120 5249 5792 5800 6242 6400 7240 7250 7424 8000 8191 8192 9050 9280 10240 10498 11584 11600 12484 12800 14480 14500 14848 15605 16000 16382 18100 18560 20480 20996 22625 23168 23200 24968 25600 26245 28960 29000 29696 31210 32000 32764 36200 37120 40955 40960 41992 45250 46336 46400 49936 51200 52490 57920 58000 59392 62420 64000 65528 72400 74240 78025 81910 83984 90500 90509 92672 92800 99872 102400 104980 115840 116000 118784 124840 128000 131056 131225 144800 148480 156050 163820 167968 181000 181018 185344 185600 199744 204775 204800 209960 231680 232000 237539 237568 249680 256000 262112 262450 289600 296960 312100 327640 335936 362000 362036 370688 371200 390125 399488 409550 419920 452545 463360 464000 475078 499360 512000 524224 524900 564901 579200 593920 624200 655280 656125 671872 724000 724072 741376 742400 780250 798976 819100 839840 905090 926720 928000 950156 998720 1023875 1024000 1048448 1049800 1129802 1158400 1187695 1187840 1248400 1310560 1312250 1343744 1448000 1448144 1482571 1482752 1484800 1560500 1597952 1638200 1679680 1810180 1853440 1856000 1900312 1997440 2047750 2096896 2099600 2259604 2262725 2316800 2375390 2496800 2621120 2624500 2687488 2824505 2896000 2896288 2965142 2969600 3121000 3195904 3276400 3359360 3620360 3706880 3712000 3800624 3994880 4095500 4193792 4199200 4519208 4525450 4633600 4750780 4993600 5242240 5249000 5374976 5649010 5792000 5792576 5930284 5938475 5939200 6242000 6391808 6552800 6718720 7240720 7412855 7413760 7424000 7601248 7989760 8191000 8387584 8398400 9038416 9050900 9267200 9501560 9987200 10484480 10498000 10749952 11298020 11313625 11584000 11585152 11860568 11876950 12484000 12783616 13105600 13437440 14122525 14481440 14825710 14848000 15202496 15979520 16382000 16382129 16775168 16796800 18076832 18101800 18534400 19003120 19974400 20968960 20996000 21499904 22596040 22627250 23168000 23170304 23721136 23753900 24968000 25564111 25567232 26211200 26874880 28245050 28962880 29651420 29692375 29696000 30404992 31959040 32764000 32764258 33550336 33593600 36153664 36203600 37064275 37068800 38006240 39948800 41937920 41992000 42994559 42999808 45192080 45254500 46336000 46340608 47442272 47507800 49936000 51128222 52422400 53749760 56490100 57925760 59302840 59384750 60809984 63918080 65528000 65528516 67100672 67187200 70612625 72307328 72407200 74128550 76012480 79897600 81910645 83875840 83984000 85989118 90384160 90509000 92672000 92681216 94884544 95015600 99872000 102256444 104844800 107499520 112980200 115851520 118605680 118769500 121619968 127820555 127836160 131056000 131057032 134374400 141225250 144614656 144814400 148257100 152024960 159795200 163821290 167751680 167968000 171978236 180768320 181018000 185321375 185344000 185362432 189769088 190031200 199744000 204512888 209689600 214972795 214999040 225960400 231703040 237211360 237539000 243239936 255641110 262112000 262114064 268748800 282450500 289229312 289628800 296514200 304049920 319590400 327642580 335503360 335936000 343956472 361536640 362036000 370642750 370724864 379538176 380062400 399488000 409025776 409553225 419379200 429945590 451920800 463406080 474422720 475078000 486479872 511282220 524224000 524228128 537497600 564901000 578458624 579257600 593028400 608099840 639102775 639180800 655285160 671872000 687912944 723073280 724072000 741285500 741359219 741449728 759076352 760124800 798976000 818051552 819106450 838758400 859891180 903841600 926812160 948845440 950156000 972959744 1022564440 1048448000 1048456256 1074863975 1074995200 1129802000 1156917248 1158515200 1186056800 1216199680 1278205550 1310570320 1343744000 1375825888 1446146560 1448144000 1482571000 1482718438 1518152704 1520249600 1597952000 1636103104 1638212900 1677516800 1719782360 1807683200 1853624320 1897690880 1900312000 1945919488 2045128880 2047766125 2096896000 2096912512 2149727950 2259604000 2313834496 2317030400 2372113600 2432399360 2556411100 2621140640 2687488000 2751651776 2892293120 2896288000 2965142000 2965436876 3036305408 3040499200 3195513875 3195904000 3272206208 3276425800 3439564720 3615366400 3706796095 3707248640 3795381760 3800624000 4090257760 4095532250 4193792000 4193825024 4299455900 4519208000 4627104091 4627668992 4634060800 4744227200 4864798720 5112822200 5242281280 5374319875 5374976000 5503303552 5784586240 5792576000 5930284000 5930873752 6072610816 6080998400 6391027750 6544412416 6552851600 6879129440 7230732800 7413592190 7590763520 7601248000 8180515520 8191064500 8387584000 8387650048 8598911800 9038416000 9254208182 9268121600 9488454400 9729597440 10225644400 10484562560 10748639750 11006607104 11569172480 11585152000 11860568000 11861747504 12145221632 12161996800 12782055500 13088824832 13105703200 13758258880 14461465600 14827184380 15181527040 15202496000 16361031040 16382129000 16775300096 17197823600 18076832000 18508416364 18533980475 18536243200 18976908800 20451288800 20969125120 21497279500 22013214208 23135520455 23138344960 23170304000 23721136000 23723495008 24323993600 25564111000 26177649664 26211406400 27516517760 28922931200 29654368760 30363054080 30404992000 32722062080 32764258000 33550600192 34395647200 36153664000 37016832728 37067960950 37953817600 40902577600 41938250240 42994559000 44026428416 46271040910 46340608000 47442272000 47446990016 48647987200 51128222000 52355299328 52422812800 55033035520 57845862400 59308737520 60726108160 60809984000 65444124160 65528516000 67101200384 68791294400 72307328000 74033665456 74135921900 75907635200 81805155200 83876500480 85989118000 88052856832 92542081820 92669902375 92681216000 94884544000 94893980032 102256444000 104710598656 104845625600 110066071040 115677602275 115691724800 118617475040 121619968000 130888248320 131057032000 134186018639 134202400768 137582588800 144614656000 148067330912 148271843800 151815270400 163610310400 167753000960 171978236000 176105713664 185084163640 185339804750 189769088000 189787960064 204512888000 209421197312 209691251200 220132142080 231355204550 237234950080 243239936000 261776496640 262114064000 268372037278 275165177600 289229312000 296134661824 296543687600 303630540800 327220620800 335506001920 343956472000 352211427328 370168327280 370679609500 379538176000 379575920128 409025776000 419382502400 440264284160 462710409100 474469900160 523552993280 524228128000 536744074556 550330355200 578388011375 578458624000 592269323648 593087375200 654441241600 670930093195 671012003840 687912944000 740336654560 741359219000 759076352000 759151840256 818051552000 838765004800 880528568320 925420818200 948939800320 1047105986560 1048456256000 1073488149112 1100660710400 1156776022750 1184538647296 1186174750400 1308882483200 1341860186390 1375825888000 1480673309120 1482718438000 1518152704000 1518303680512 1636103104000 1677530009600 1761057136640 1850841636400 1897879600640 2096912512000 2146976298224 2201321420800 2313552045500 2369077294592 2372349500800 2617764966400 2683720372780 2751651776000 2961346618240 2965436876000 3036607361024 3272206208000 3354650465975 3355060019200 3701683272800 3795759201280 4193825024000 4293952596448 4402642841600 4627104091000 4738154589184 4744699001600 5235529932800 5367440745560 5503303552000 5922693236480 5930873752000 6073214722048 6544412416000 6709300931950 7403366545600 7591518402560 8387650048000 8587905192896 8805285683200 9254208182000 9476309178368 9489398003200 10734881491120 11006607104000 11845386472960 11861747504000 13088824832000 13418601863900 14806733091200 15183036805120 16773252329875 16775300096000 17175810385792 18508416364000 18952618356736 18978796006400 21469762982240 22013214208000 23690772945920 23723495008000 26177649664000 26837203727800 29613466182400 30366073610240 33546504659750 34351620771584 37016832728000 37905236713472 37957592012800 42939525964480 44026428416000 47381545891840 47446990016000 53674407455600 59226932364800 67093009319500 68703241543168 74033665456000 75915184025600 85879051928960 94763091783680 94893980032000 107348814911200 118453864729600 134186018639000 137406483086336 148067330912000 151830368051200 171758103857920 189526183567360 189787960064000 214697629822400 236907729459200 268372037278000 274812966172672 296134661824000 343516207715840 379575920128000 429395259644800 473815458918400 536744074556000 549625932345344 592269323648000 687032415431680 759151840256000 858790519289600 947630917836800 1073488149112000 1099251864690688 1184538647296000 1374064830863360 1717581038579200 2146976298224000 2369077294592000 2748129661726720 3435162077158400 4293952596448000 4738154589184000 5496259323453440 6870324154316800 8587905192896000 13740648308633600 17175810385792000 27481296617267200 34351620771584000 68703241543168000 137406483086336000
- Sum of all divisors σ(n): 356889289504849920
- Sum of proper divisors (its aliquot sum) s(n): 219482806418513920
- 137406483086336000 is an abundant number, because the sum of its proper divisors (219482806418513920) is greater than itself. Its abundance is 82076323332177920
Bases of 137406483086336000
- Binary: 1111010000010101001110111111001100011001001100000000000002
- Hexadecimal: 0x1E82A77E6326000
- Base-36: 11KYJ6WBCEM8
Squares and roots of 137406483086336000
- 137406483086336000 squared (1374064830863360002) is 18880541594155541240029904896000000
- 137406483086336000 cubed (1374064830863360003) is 2594308819218196715826980855083062637101056000000000
-
The
square root of 137406483086336000 is 370683804.7262599251 -
The
cube root of 137406483086336000 is 516023.0182808143
Scales and comparisons
How big is 137406483086336000?- 137,406,483,086,336,000 seconds is equal to 4,369,101,135 years, 51 weeks, 2 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 137,406,483,086,336,000 would take you about thirteen billion, one hundred seven million, three hundred three thousand, four hundred seven 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 137406483086336000 cubic inches would be around 43001.9 feet tall.
Recreational maths with 137406483086336000
- 137406483086336000 backwards is 000633680384604731
- The number of decimal digits it has is: 18
- The sum of 137406483086336000's digits is 62
- 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 137406483086336000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 137406483086336000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/137406483086336000/
Chicago style:
Numbermatics. 2024. "Number 137406483086336000 - Facts about the integer". https://numbermatics.com/n/137406483086336000/
The information we have on file for 137406483086336000 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 137406483086336000, math, Factors of 137406483086336000, curriculum, school, college, exams, university, Prime factorization of 137406483086336000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, four hundred six trillion, four hundred eighty-three billion, eighty-six million, three hundred thirty-six thousand.