138476105349120
138,476,105,349,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 138476105349120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3360 divisors.
138476105349120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.
Prime factorization of 138476105349120:
211 × 36 × 5 × 7 × 114 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 11 × 11 × 11 × 181)See below for interesting mathematical facts about the number 138476105349120 from the Numbermatics database.
Names of 138476105349120
- Cardinal: 138476105349120 can be written as One hundred thirty-eight trillion, four hundred seventy-six billion, one hundred five million, three hundred forty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3847610534912 × 1014
Factors of 138476105349120
Divisors of 138476105349120
- Number of divisors d(n): 3360
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 64 66 70 72 77 80 81 84 88 90 96 99 105 108 110 112 120 121 126 128 132 135 140 144 154 160 162 165 168 176 180 181 189 192 198 210 216 220 224 231 240 242 243 252 256 264 270 280 288 297 308 315 320 324 330 336 352 360 362 363 378 384 385 396 405 420 432 440 448 462 480 484 486 495 504 512 528 540 543 560 567 576 594 605 616 630 640 648 660 672 693 704 720 724 726 729 756 768 770 792 810 840 847 864 880 891 896 905 924 945 960 968 972 990 1008 1024 1056 1080 1086 1089 1120 1134 1152 1155 1188 1210 1215 1232 1260 1267 1280 1296 1320 1331 1344 1386 1408 1440 1448 1452 1458 1485 1512 1536 1540 1584 1620 1629 1680 1694 1701 1728 1760 1782 1792 1810 1815 1848 1890 1920 1936 1944 1980 1991 2016 2048 2079 2112 2160 2172 2178 2240 2268 2304 2310 2376 2420 2430 2464 2520 2534 2541 2560 2592 2640 2662 2673 2688 2715 2772 2816 2835 2880 2896 2904 2916 2970 3024 3072 3080 3168 3240 3258 3267 3360 3388 3402 3456 3465 3520 3564 3584 3620 3630 3645 3696 3780 3801 3840 3872 3888 3960 3982 3993 4032 4158 4224 4235 4320 4344 4356 4455 4480 4536 4608 4620 4752 4840 4860 4887 4928 5040 5068 5082 5103 5120 5184 5280 5324 5346 5376 5430 5445 5544 5632 5670 5760 5792 5808 5832 5940 5973 6048 6144 6160 6237 6335 6336 6480 6516 6534 6655 6720 6776 6804 6912 6930 7040 7128 7168 7240 7260 7290 7392 7560 7602 7623 7680 7744 7776 7920 7964 7986 8019 8064 8145 8316 8448 8470 8505 8640 8688 8712 8910 8960 9072 9216 9240 9317 9504 9680 9720 9774 9801 9856 9955 10080 10136 10164 10206 10240 10368 10395 10560 10648 10692 10752 10860 10890 11088 11264 11340 11403 11520 11584 11616 11664 11880 11946 11979 12096 12320 12474 12670 12672 12705 12960 13032 13068 13310 13365 13440 13552 13608 13824 13860 13937 14080 14256 14336 14480 14520 14580 14641 14661 14784 15120 15204 15246 15360 15488 15552 15840 15928 15972 16038 16128 16290 16335 16632 16896 16940 17010 17280 17376 17424 17820 17919 17920 18144 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5449669632 5463861480 5464723968 5550589440 5619971808 5667121152 5724045360 5779952640 5795919360 5828118912 5936047040 5960576160 5977041840 6010247628 6055188480 6071915520 6105648384 6146844165 6244413120 6322821120 6357947904 6375511296 6439551030 6475687680 6502446720 6556633776 6660707328 6678052920 6784053760 6812087040 6830904960 6868854432 6935943168 6955103232 7024964760 7064386560 7083901440 7123256448 7152691392 7285148640 7286298624 7400785920 7431367680 7493295744 7512809535 7632060480 7727461236 7727892480 7770825216 7947434880 7969389120 8013663504 8140864512 8174504448 8195792220 8325884160 8477263872 8500681728 8586068040 8634250240 8669928960 8693879040 8742178368 8904070560 8940864240 9015371442 9082782720 9107873280 9158472576 9366619680 9445201920 9458104320 9497675264 9536921856 9563266944 9659326545 9713531520 9834950664 9935861760 9991060992 10017079380 10176080640 10218130560 10303281648 10361100288 10403914752 10596579840 10625852160 10684884672 10899339264 10927722960 10929447936 11101178880 11239943616 11448090720 11559905280 11591838720 11656237824 11872094080 11921152320 11954083680 12020495256 12143831040 12211296768 12293688330 12488826240 12715895808 12751022592 12879102060 12951375360 13004893440 13113267552 13321414656 13356105840 13523057163 13568107520 13624174080 13661809920 13737708864 13910206464 14049929520 14128773120 14167802880 14246512896 14305382784 14570297280 14862735360 14986591488 15025619070 15264120960 15454922472 15541650432 15894869760 15938778240 16027327008 16281729024 16349008896 16391584440 16651768320 17001363456 17172136080 17268500480 17339857920 17387758080 17484356736 17808141120 17881728480 18030742884 18165565440 18215746560 18316945152 18733239360 18995350528 19073843712 19126533888 19318653090 19427063040 19669901328 19982121984 20034158760 20352161280 20436261120 20606563296 20807829504 21193159680 21251704320 21369769344 21855445920 21858895872 22202357760 22479887232 22538428605 22896181440 23183677440 23312475648 23744188160 23842304640 23908167360 24040990512 24422593536 24587376660 24977652480 25431791616 25502045184 25758204120 25902750720 26009786880 26226535104 26712211680 27046114326 27136215040 27248348160 27323619840 27475417728 28099859040 28335605760 28493025792 28610765568 29140594560 29973182976 30051238140 30528241920 30909844944 31083300864 31789739520 31877556480 32054654016 32698017792 32783168880 33303536640 34344272160 34679715840 34775516160 34968713472 35616282240 35763456960 36061485768 36431493120 36633890304 37466478720 37990701056 38147687424 38253067776 38637306180 38854126080 39339802656 39964243968 40068317520 40704322560 40872522240 41213126592 42386319360 42503408640 42739538688 43710891840 44959774464 45076857210 45792362880 46624951296 47488376320 47684609280 47816334720 48081981024 48845187072 49174753320 49955304960 51004090368 51516408240 51805501440 52019573760 52453070208 53424423360 54092228652 54496696320 54647239680 54950835456 56199718080 56986051584 57221531136 58281189120 59946365952 60102476280 61056483840 61819689888 63579479040 63755112960 64109308032 65566337760 66607073280 67615285815 68688544320 69551032320 69937426944 71232564480 71526913920 72122971536 73267780608 74932957440 76295374848 76506135552 77274612360 77708252160 78679605312 80136635040 81408645120 81745044480 82426253184 85006817280 85479077376 87421783680 89919548928 90153714420 91584725760 93249902592 94976752640 95369218560 95632669440 96163962048 98349506640 99910609920 103032816480 104039147520 104906140416 106848846720 108184457304 109294479360 109901670912 112399436160 113972103168 114443062272 116562378240 119892731904 120204952560 122112967680 123639379776 127158958080 127510225920 128218616064 131132675520 135230571630 137377088640 139874853888 142465128960 143053827840 144245943072 146535561216 149865914880 153012271104 154549224720 155416504320 157359210624 160273270080 163490088960 164852506368 170958154752 174843567360 179839097856 180307428840 183169451520 189953505280 190738437120 191265338880 192327924096 196699013280 199821219840 206065632960 209812280832 213697693440 216368914608 219803341824 224798872320 228886124544 233124756480 240409905120 244225935360 247278759552 255020451840 256437232128 262265351040 270461143260 274754177280 279749707776 284930257920 286107655680 288491886144 299731829760 309098449440 314718421248 320546540160 329705012736 341916309504 349687134720 359678195712 360614857680 366338903040 381476874240 382530677760 384655848192 393398026560 412131265920 419624561664 427395386880 432737829216 439606683648 449597744640 466249512960 480819810240 494557519104 512874464256 524530702080 540922286520 549508354560 569860515840 572215311360 576983772288 599463659520 618196898880 629436842496 641093080320 659410025472 699374269440 721229715360 732677806080 765061355520 769311696384 786796053120 824262531840 839249123328 854790773760 865475658432 899195489280 961639620480 989115038208 1025748928512 1049061404160 1081844573040 1099016709120 1144430622720 1153967544576 1236393797760 1258873684992 1282186160640 1318820050944 1398748538880 1442459430720 1538623392768 1573592106240 1648525063680 1709581547520 1730951316864 1798390978560 1923279240960 1978230076416 2098122808320 2163689146080 2198033418240 2307935089152 2472787595520 2517747369984 2564372321280 2884918861440 3077246785536 3147184212480 3297050127360 3461902633728 3846558481920 3956460152832 4196245616640 4327378292160 4615870178304 4945575191040 5128744642560 5769837722880 6294368424960 6594100254720 6923805267456 7693116963840 8654756584320 9231740356608 9891150382080 11539675445760 12588736849920 13847610534912 15386233927680 17309513168640 19782300764160 23079350891520 27695221069824 34619026337280 46158701783040 69238052674560 138476105349120
- Sum of all divisors σ(n): 629719906888800
- Sum of proper divisors (its aliquot sum) s(n): 491243801539680
- 138476105349120 is an abundant number, because the sum of its proper divisors (491243801539680) is greater than itself. Its abundance is 352767696190560
Bases of 138476105349120
- Binary: 111110111110001011110110001000110111000000000002
- Hexadecimal: 0x7DF17B11B800
- Base-36: 1D331LS000
Squares and roots of 138476105349120
- 138476105349120 squared (1384761053491202) is 19175631752660580677084774400
- 138476105349120 cubed (1384761053491203) is 2655366802717357156689824239699548438528000
-
The
square root of 138476105349120 is 11767587.0657123247 -
The
cube root of 138476105349120 is 51735.8529447247
Scales and comparisons
How big is 138476105349120?- 138,476,105,349,120 seconds is equal to 4,403,111 years, 42 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 138,476,105,349,120 would take you about eleven million, seven thousand, seven hundred seventy-nine 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 138476105349120 cubic inches would be around 4311.3 feet tall.
Recreational maths with 138476105349120
- 138476105349120 backwards is 021943501674831
- 138476105349120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138476105349120's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138476105349120 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 138476105349120 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138476105349120/
Chicago style:
Numbermatics. 2024. "Number 138476105349120 - Facts about the integer". https://numbermatics.com/n/138476105349120/
The information we have on file for 138476105349120 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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