138733405512672000
138,733,405,512,672,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138733405512672000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138733405512672000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138733405512672000:
28 × 3 × 53 × 47 × 1072 × 1393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 47 × 107 × 107 × 139 × 139 × 139)See below for interesting mathematical facts about the number 138733405512672000 from the Numbermatics database.
Names of 138733405512672000
- Cardinal: 138733405512672000 can be written as One hundred thirty-eight quadrillion, seven hundred thirty-three trillion, four hundred five billion, five hundred twelve million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.38733405512672 × 1017
Factors of 138733405512672000
Divisors of 138733405512672000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 47 48 50 60 64 75 80 94 96 100 107 120 125 128 139 141 150 160 188 192 200 214 235 240 250 256 278 282 300 320 321 375 376 384 400 417 428 470 480 500 535 556 564 600 640 642 695 705 750 752 768 800 834 856 940 960 1000 1070 1112 1128 1175 1200 1280 1284 1390 1410 1500 1504 1600 1605 1668 1712 1880 1920 2000 2085 2140 2224 2256 2350 2400 2568 2675 2780 2820 3000 3008 3200 3210 3336 3424 3475 3525 3760 3840 4000 4170 4280 4448 4512 4700 4800 5029 5136 5350 5560 5640 5875 6000 6016 6400 6420 6533 6672 6848 6950 7050 7520 8000 8025 8340 8560 8896 9024 9400 9600 10058 10272 10425 10700 11120 11280 11449 11750 12000 12032 12840 13066 13344 13375 13696 13900 14100 14873 15040 15087 16000 16050 16680 17120 17375 17625 17792 18048 18800 19200 19321 19599 20116 20544 20850 21400 22240 22560 22898 23500 24000 25145 25680 26132 26688 26750 27392 27800 28200 29746 30080 30174 32000 32100 32665 33360 34240 34347 34750 35250 35584 36096 37600 38642 39198 40125 40232 41088 41700 42800 44480 44619 45120 45796 47000 48000 50290 51360 52125 52264 53376 53500 55600 56400 57245 57963 59492 60160 60348 64200 65330 66720 68480 68694 69500 70500 74365 75200 75435 77284 78396 80250 80464 82176 83400 85600 88960 89238 90240 91592 94000 96000 96605 97995 100580 102720 104250 104528 106752 107000 111200 112800 114490 115926 118984 120696 125725 128400 130660 133440 136960 137388 139000 141000 148730 150400 150870 154568 156792 160500 160928 163325 166800 171200 171735 177920 178476 180480 183184 188000 193210 195990 201160 205440 208500 209056 214000 222400 223095 225600 228980 231852 237968 241392 251450 256800 261320 266880 274776 278000 282000 286225 289815 297460 300800 301740 309136 313584 321000 321856 326650 333600 342400 343470 356952 366368 371825 376000 377175 386420 391980 402320 410880 417000 418112 428000 444800 446190 451200 457960 463704 475936 482784 483025 489975 502900 513600 522640 533760 538103 549552 556000 564000 572450 579630 594920 603480 618272 627168 628625 642000 643712 653300 667200 684800 686940 699031 713904 732736 743650 752000 754350 772840 783960 804640 816625 834000 836224 856000 858675 889600 892380 902400 908087 915920 927408 951872 965568 966050 979950 1005800 1027200 1045280 1076206 1099104 1112000 1115475 1128000 1144900 1159260 1189840 1206960 1236544 1254336 1257250 1284000 1287424 1306600 1334400 1373880 1398062 1427808 1431125 1449075 1465472 1487300 1504000 1508700 1545680 1567920 1591411 1609280 1614309 1633250 1668000 1672448 1712000 1717350 1784760 1816174 1831840 1854816 1859125 1885875 1903744 1931136 1932100 1959900 2011600 2054400 2067347 2090560 2097093 2152412 2198208 2224000 2230950 2256000 2289800 2318520 2379680 2413920 2415125 2449875 2473088 2508672 2514500 2568000 2613200 2668800 2685619 2690515 2724261 2747760 2796124 2855616 2862250 2898150 2930944 2974600 3017400 3091360 3135840 3182822 3218560 3228618 3266500 3336000 3424000 3434700 3495155 3569520 3632348 3663680 3709632 3718250 3771750 3807488 3862272 3864200 3919800 4023200 4134694 4181120 4194186 4293375 4304824 4396416 4448000 4461900 4512000 4540435 4579600 4637040 4759360 4774233 4827840 4830250 4899750 4946176 5017344 5029000 5136000 5226400 5371238 5381030 5448522 5495520 5577375 5592248 5711232 5724500 5796300 5949200 6034800 6182720 6202041 6271680 6365644 6437120 6457236 6533000 6672000 6869400 6990310 7139040 7245375 7264696 7327360 7419264 7436500 7543500 7728400 7839600 7957055 8046400 8056857 8071545 8269388 8362240 8388372 8586750 8609648 8792832 8923800 9080870 9159200 9274080 9518720 9548466 9655680 9660500 9799500 10058000 10272000 10336735 10452800 10485465 10742476 10762060 10897044 10991040 11154750 11184496 11422464 11449000 11592600 11898400 12069600 12365440 12404082 12543360 12731288 12914472 13066000 13344000 13428095 13452575 13621305 13738800 13980620 14278080 14490750 14529392 14654720 14838528 14873000 15087000 15456800 15679200 15914110 16092800 16113714 16143090 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665388036032 675298897550 689666959200 707859612800 718044643200 737943646344 757344558000 768691298275 777322472000 779751604725 807834195200 810358677060 831735045040 849431535360 862083699000 864382588864 884824516000 897555804000 919555945600 922429557930 932786966400 983924861792 998082054048 1009792744000 1012948346325 1039668806300 1061789419200 1080478236080 1103467134720 1149444932000 1165983708000 1196741072000 1211751292800 1229906077240 1247602567560 1296573883296 1299586007875 1327236774000 1330776072064 1350597795100 1379333918400 1415719225600 1436089286400 1445139640757 1475887292688 1514689116000 1537382596550 1554644944000 1559503209450 1620717354120 1663470090080 1688247243875 1724167398000 1728765177728 1769649032000 1795111608000 1839111891200 1844859115860 1865573932800 1967849723584 1996164108096 2019585488000 2025896692650 2079337612600 2123578838400 2160956472160 2298889864000 2306073894825 2331967416000 2393482144000 2423502585600 2459812154480 2495205135120 2593147766592 2599172015750 2654473548000 2661552144128 2701195590200 2758667836800 2890279281514 2951774585376 3029378232000 3074765193100 3109289888000 3119006418900 3241434708240 3326940180160 3376494487750 3448334796000 3457530355456 3539298064000 3590223216000 3689718231720 3843456491375 3898758023625 3935699447168 3992328216192 4039170976000 4051793385300 4158675225200 4247157676800 4321912944320 4335418922271 4597779728000 4612147789650 4663934832000 4919624308960 4990410270240 5064741731625 5186295533184 5198344031500 5308947096000 5402391180400 5517335673600 5780558563028 5903549170752 6058756464000 6149530386200 6238012837800 6482869416480 6653880360320 6752988975500 6896669592000 7078596128000 7180446432000 7225698203785 7379436463440 7686912982750 7797516047250 7871398894336 7984656432384 8103586770600 8317350450400 8643825888640 8670837844542 9195559456000 9224295579300 9327869664000 9839248617920 9980820540480 10129483463250 10372591066368 10396688063000 10617894192000 10804782360800 11530369474125 11561117126056 11807098341504 12117512928000 12299060772400 12476025675600 12965738832960 13307760720640 13505977951000 13793339184000 14451396407570 14758872926880 15373825965500 15595032094500 16207173541200 16634700900800 17287651777280 17341675689084 18448591158600 19678497235840 19961641080960 20258966926500 20793376126000 21235788384000 21609564721600 21677094611355 23060738948250 23122234252112 23614196683008 24598121544800 24952051351200 25931477665920 27011955902000 27586678368000 28902792815140 29517745853760 30747651931000 31190064189000 32414347082400 33269401801600 34683351378168 36128491018925 36897182317200 39356994471680 39923282161920 40517933853000 41586752252000 43219129443200 43354189222710 46121477896500 46244468504224 49196243089600 49904102702400 51862955331840 54023911804000 57805585630280 59035491707520 61495303862000 62380128378000 64828694164800 66538803603200 69366702756336 72256982037850 73794364634400 81035867706000 83173504504000 86438258886400 86708378445420 92242955793000 92488937008448 98392486179200 99808205404800 108047823608000 108385473056775 115611171260560 118070983415040 122990607724000 124760256756000 129657388329600 138733405512672 144513964075700 147588729268800 162071735412000 166347009008000 173416756890840 180642455094625 184485911586000 184977874016896 196784972358400 199616410809600 216095647216000 216770946113550 231222342521120 245981215448000 249520513512000 259314776659200 277466811025344 289027928151400 295177458537600 324143470824000 332694018016000 346833513781680 361284910189250 368971823172000 369955748033792 432191294432000 433541892227100 462444685042240 491962430896000 499041027024000 541927365283875 554933622050688 578055856302800 590354917075200 648286941648000 693667027563360 722569820378500 737943646344000 867083784454200 924889370084480 983924861792000 998082054048000 1083854730567750 1109867244101376 1156111712605600 1296573883296000 1387334055126720 1445139640757000 1475887292688000 1734167568908400 1849778740168960 2167709461135500 2312223425211200 2774668110253440 2890279281514000 2951774585376000 3468335137816800 4335418922271000 4624446850422400 5549336220506880 5780558563028000 6936670275633600 8670837844542000 9248893700844800 11561117126056000 13873340551267200 17341675689084000 23122234252112000 27746681102534400 34683351378168000 46244468504224000 69366702756336000 138733405512672000
- Sum of all divisors σ(n): 478488995267512320
- Sum of proper divisors (its aliquot sum) s(n): 339755589754840320
- 138733405512672000 is an abundant number, because the sum of its proper divisors (339755589754840320) is greater than itself. Its abundance is 201022184242168320
Bases of 138733405512672000
- Binary: 1111011001110000101001100000110100001000000100011000000002
- Hexadecimal: 0x1ECE14C1A102300
- Base-36: 11Y0VYN7V2TC
Squares and roots of 138733405512672000
- 138733405512672000 squared (1387334055126720002) is 19246957805143489679152579584000000
- 138733405512672000 cubed (1387334055126720003) is 2670196002066259188649718021012314800488448000000000
-
The
square root of 138733405512672000 is 372469334.9964155103 -
The
cube root of 138733405512672000 is 517678.7629675821
Scales and comparisons
How big is 138733405512672000?- 138,733,405,512,672,000 seconds is equal to 4,411,293,164 years, 36 weeks, 4 days, 5 hours, 20 minutes.
-
To count from 1 to 138,733,405,512,672,000 would take you about thirteen billion, two hundred thirty-three million, eight hundred seventy-nine thousand, four hundred ninety-four 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 138733405512672000 cubic inches would be around 43139.9 feet tall.
Recreational maths with 138733405512672000
- 138733405512672000 backwards is 000276215504337831
- The number of decimal digits it has is: 18
- The sum of 138733405512672000's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 138733405512672000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 138733405512672000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138733405512672000/
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Numbermatics. 2024. "Number 138733405512672000 - Facts about the integer". https://numbermatics.com/n/138733405512672000/
The information we have on file for 138733405512672000 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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