138105783889920
138,105,783,889,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 138105783889920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1248 divisors.
138105783889920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 138105783889920:
212 × 33 × 5 × 7 × 11 × 18012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 1801 × 1801)See below for interesting mathematical facts about the number 138105783889920 from the Numbermatics database.
Names of 138105783889920
- Cardinal: 138105783889920 can be written as One hundred thirty-eight trillion, one hundred five billion, seven hundred eighty-three million, eight hundred eighty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3810578388992 × 1014
Factors of 138105783889920
Divisors of 138105783889920
- Number of divisors d(n): 1248
-
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 84 88 90 96 99 105 108 110 112 120 126 128 132 135 140 144 154 160 165 168 176 180 189 192 198 210 216 220 224 231 240 252 256 264 270 280 288 297 308 315 320 330 336 352 360 378 384 385 396 420 432 440 448 462 480 495 504 512 528 540 560 576 594 616 630 640 660 672 693 704 720 756 768 770 792 840 864 880 896 924 945 960 990 1008 1024 1056 1080 1120 1152 1155 1188 1232 1260 1280 1320 1344 1386 1408 1440 1485 1512 1536 1540 1584 1680 1728 1760 1792 1801 1848 1890 1920 1980 2016 2048 2079 2112 2160 2240 2304 2310 2376 2464 2520 2560 2640 2688 2772 2816 2880 2970 3024 3072 3080 3168 3360 3456 3465 3520 3584 3602 3696 3780 3840 3960 4032 4096 4158 4224 4320 4480 4608 4620 4752 4928 5040 5120 5280 5376 5403 5544 5632 5760 5940 6048 6144 6160 6336 6720 6912 6930 7040 7168 7204 7392 7560 7680 7920 8064 8316 8448 8640 8960 9005 9216 9240 9504 9856 10080 10240 10395 10560 10752 10806 11088 11264 11520 11880 12096 12288 12320 12607 12672 13440 13824 13860 14080 14336 14408 14784 15120 15360 15840 16128 16209 16632 16896 17280 17920 18010 18432 18480 19008 19712 19811 20160 20480 20790 21120 21504 21612 22176 22528 23040 23760 24192 24640 25214 25344 26880 27015 27648 27720 28160 28672 28816 29568 30240 30720 31680 32256 32418 33264 33792 34560 35840 36020 36864 36960 37821 38016 39424 39622 40320 41580 42240 43008 43224 44352 45056 46080 47520 48384 48627 49280 50428 50688 53760 54030 55296 55440 56320 57632 59136 59433 60480 61440 63035 63360 64512 64836 66528 67584 69120 71680 72040 73920 75642 76032 78848 79244 80640 81045 83160 84480 86016 86448 88704 92160 95040 96768 97254 98560 99055 100856 101376 107520 108060 110592 110880 112640 113463 115264 118272 118866 120960 126070 126720 129024 129672 133056 135168 138240 138677 143360 144080 147840 151284 152064 157696 158488 161280 162090 166320 168960 172896 177408 178299 184320 189105 190080 193536 194508 197120 198110 201712 202752 215040 216120 221760 225280 226926 230528 236544 237732 241920 243135 252140 253440 258048 259344 266112 276480 277354 288160 295680 297165 302568 304128 315392 316976 322560 324180 332640 337920 340389 345792 354816 356598 378210 380160 387072 389016 394240 396220 403424 405504 416031 430080 432240 443520 453852 461056 473088 475464 483840 486270 504280 506880 518688 532224 534897 552960 554708 567315 576320 591360 594330 605136 608256 633952 645120 648360 665280 675840 680778 691584 693385 709632 713196 756420 760320 774144 778032 788480 792440 806848 832062 864480 887040 891495 907704 922112 946176 950928 967680 972540 1008560 1013760 1037376 1064448 1069794 1109416 1134630 1152640 1182720 1188660 1210272 1216512 1248093 1267904 1290240 1296720 1330560 1361556 1383168 1386770 1419264 1426392 1512840 1520640 1556064 1576960 1584880 1613696 1664124 1701945 1728960 1774080 1782990 1815408 1844224 1901856 1935360 1945080 2017120 2027520 2074752 2080155 2128896 2139588 2218832 2269260 2305280 2365440 2377320 2420544 2496186 2535808 2593440 2661120 2674485 2723112 2766336 2773540 2838528 2852784 3025680 3041280 3112128 3169760 3227392 3243601 3328248 3403890 3457920 3548160 3565980 3630816 3688448 3744279 3803712 3870720 3890160 4034240 4149504 4160310 4257792 4279176 4437664 4538520 4610560 4730880 4754640 4841088 4992372 5071616 5186880 5322240 5348970 5446224 5532672 5547080 5705568 6051360 6082560 6224256 6240465 6339520 6454784 6487202 6656496 6807780 6915840 7096320 7131960 7261632 7376896 7488558 7607424 7780320 8068480 8299008 8320620 8515584 8558352 8875328 9077040 9221120 9509280 9682176 9730803 9984744 10143232 10373760 10644480 10697940 10892448 11065344 11094160 11411136 12102720 12448512 12480930 12679040 12909568 12974404 13312992 13615560 13831680 14192640 14263920 14523264 14977116 15214848 15560640 16136960 16218005 16598016 16641240 17116704 17750656 18154080 18442240 18721395 19018560 19364352 19461606 19969488 20286464 20747520 21288960 21395880 21784896 22130688 22188320 22705207 22822272 24205440 24897024 24961860 25358080 25819136 25948808 26625984 27231120 27663360 28527840 29046528 29192409 29954232 30429696 31121280 32273920 32436010 33196032 33282480 34233408 35501312 35679611 36308160 36884480 37442790 38037120 38728704 38923212 39938976 40572928 41495040 42577920 42791760 43569792 44376640 45410414 45644544 48410880 48654015 49794048 49923720 50716160 51638272 51897616 53251968 54462240 55326720 57055680 58093056 58384818 59908464 60859392 62242560 64547840 64872020 66392064 66564960 68115621 68466816 71002624 71359222 72616320 74885580 76074240 77457408 77846424 79877952 81145856 82990080 85583520 87139584 87577227 88753280 90820828 91289088 96821760 97308030 99588096 99847440 101432320 103795232 106503936 107038833 108924480 110653440 113526035 114111360 116186112 116769636 119816928 121718784 124485120 129095680 129744040 133129920 136231242 136933632 142005248 142718444 145232640 145962045 149771160 152148480 154914816 155692848 159755904 165980160 171167040 174279168 175154454 177506560 178398055 181641656 182578176 193643520 194616060 199176192 199694880 202864640 204346863 207590464 213007872 214077666 217848960 227052070 228222720 232372224 233539272 239633856 243437568 248970240 249757277 258191360 259488080 266259840 272462484 273867264 284010496 285436888 290465280 291924090 299542320 304296960 311385696 319511808 321116499 331960320 340578105 342334080 348558336 350308908 355013120 356796110 363283312 365156352 387287040 389232120 399389760 405729280 408693726 415180928 426015744 428155332 435697920 437886135 454104140 456445440 464744448 467078544 479267712 497940480 499514554 518976160 532519680 535194165 544924968 547734528 568020992 570873776 580930560 583848180 599084640 608593920 613040589 622771392 639023616 642232998 681156210 684668160 697116672 700617816 710026240 713592220 726566624 730312704 749271831 774574080 778464240 798779520 817387452 830361856 852031488 856310664 871395840 875772270 908208280 912890880 934157088 958535424 963349497 995880960 999029108 1021734315 1037952320 1065039360 1070388330 1089849936 1095469056 1141747552 1161861120 1167696360 1198169280 1217187840 1226081178 1245542784 1248786385 1278047232 1284465996 1362312420 1369336320 1394233344 1401235632 1420052480 1427184440 1453133248 1498543662 1556928480 1597559040 1605582495 1634774904 1660723712 1704062976 1712621328 1742791680 1751544540 1816416560 1825781760 1868314176 1917070848 1926698994 1998058216 2043468630 2075904640 2130078720 2140776660 2179699872 2190938112 2247815493 2283495104 2323722240 2335392720 2396338560 2452162356 2491085568 2497572770 2556094464 2568931992 2724624840 2738672640 2802471264 2840104960 2854368880 2906266496 2997087324 3065202945 3113856960 3195118080 3211164990 3269549808 3321447424 3425242656 3485583360 3503089080 3632833120 3651563520 3736628352 3746359155 3834141696 3853397988 3996116432 4086937260 4151809280 4260157440 4281553320 4359399744 4495630986 4566990208 4670785440 4792677120 4816747485 4904324712 4982171136 4995145540 5112188928 5137863984 5449249680 5477345280 5604942528 5708737760 5812532992 5994174648 6130405890 6227713920 6390236160 6422329980 6539099616 6642894848 6743446479 6850485312 6971166720 7006178160 7265666240 7473256704 7492718310 7668283392 7706795976 7992232864 8173874520 8303618560 8520314880 8563106640 8718799488 8991261972 9133980416 9341570880 9585354240 9633494970 9808649424 9964342272 9990291080 10275727968 10898499360 10954690560 11209885056 11239077465 11417475520 11625065984 11988349296 12260811780 12455427840 12780472320 12844659960 13078199232 13285789696 13486892958 13700970624 14012356320 14531332480 14946513408 14985436620 15336566784 15413591952 15984465728 16347749040 16607237120 17126213280 17437598976 17982523944 18267960832 18683141760 19170708480 19266989940 19617298848 19928684544 19980582160 20551455936 21796998720 22419770112 22478154930 22834951040 23250131968 23976698592 24521623560 24910855680 25560944640 25689319920 26156398464 26973785916 27401941248 28024712640 29062664960 29893026816 29970873240 30827183904 31968931456 32695498080 33214474240 33717232395 34252426560 34875197952 35965047888 36535921664 37366283520 38341416960 38533979880 39234597696 39857369088 39961164320 41102911872 43593997440 44839540224 44956309860 45669902080 46500263936 47953397184 49043247120 49821711360 51378639840 52312796928 53947571832 54803882496 56049425280 58125329920 59786053632 59941746480 61654367808 63937862912 65390996160 66428948480 67434464790 68504853120 69750395904 71930095776 73071843328 74732567040 76682833920 77067959760 78469195392 79922328640 82205823744 87187994880 89679080448 89912619720 91339804160 93000527872 95906794368 98086494240 99643422720 102757279680 104625593856 107895143664 109607764992 112098850560 116250659840 119572107264 119883492960 123308735616 127875725824 130781992320 134868929580 137009706240 139500791808 143860191552 146143686656 149465134080 154135919520 156938390784 159844657280 164411647488 174375989760 179358160896 179825239440 182679608320 191813588736 196172988480 199286845440 205514559360 209251187712 215790287328 219215529984 224197701120 232501319680 239766985920 246617471232 255751451648 261563984640 269737859160 274019412480 279001583616 287720383104 298930268160 308271839040 313876781568 319689314560 328823294976 348751979520 358716321792 359650478880 365359216640 383627177472 392345976960 411029118720 418502375424 431580574656 438431059968 448395402240 465002639360 479533971840 493234942464 511502903296 523127969280 539475718320 548038824960 575440766208 597860536320 616543678080 627753563136 639378629120 657646589952 697503959040 719300957760 730718433280 767254354944 784691953920 822058237440 837004750848 863161149312 896790804480 959067943680 986469884928 1023005806592 1046255938560 1078951436640 1096077649920 1150881532416 1233087356160 1255507126272 1278757258240 1315293179904 1395007918080 1438601915520 1534508709888 1569383907840 1644116474880 1726322298624 1793581608960 1918135887360 1972939769856 2092511877120 2157902873280 2192155299840 2301763064832 2466174712320 2511014252544 2557514516480 2877203831040 3069017419776 3138767815680 3288232949760 3452644597248 3836271774720 3945879539712 4185023754240 4315805746560 4603526129664 4932349424640 5115029032960 5754407662080 6277535631360 6576465899520 6905289194496 7672543549440 8631611493120 9207052259328 9864698849280 11508815324160 12555071262720 13810578388992 15345087098880 17263222986240 19729397698560 23017630648320 27621156777984 34526445972480 46035261296640 69052891944960 138105783889920
- Sum of all divisors σ(n): 612474531217920
- Sum of proper divisors (its aliquot sum) s(n): 474368747328000
- 138105783889920 is an abundant number, because the sum of its proper divisors (474368747328000) is greater than itself. Its abundance is 336262963438080
Bases of 138105783889920
- Binary: 111110110011011010000100011000010110000000000002
- Hexadecimal: 0x7D9B4230B000
- Base-36: 1CYCX5XXC0
Squares and roots of 138105783889920
- 138105783889920 squared (1381057838899202) is 19073207543849286606677606400
- 138105783889920 cubed (1381057838899203) is 2634120279138441418228980997452346687488000
-
The
square root of 138105783889920 is 11751841.7233180945 -
The
cube root of 138105783889920 is 51689.6933550349
Scales and comparisons
How big is 138105783889920?- 138,105,783,889,920 seconds is equal to 4,391,336 years, 38 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 138,105,783,889,920 would take you about ten million, nine hundred seventy-eight thousand, three hundred forty-one 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 138105783889920 cubic inches would be around 4307.5 feet tall.
Recreational maths with 138105783889920
- 138105783889920 backwards is 029988387501831
- 138105783889920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138105783889920's digits is 72
- More coming soon!
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The information we have on file for 138105783889920 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 138105783889920, math, Factors of 138105783889920, curriculum, school, college, exams, university, Prime factorization of 138105783889920, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred five billion, seven hundred eighty-three million, eight hundred eighty-nine thousand, nine hundred twenty.