138707761376912000
138,707,761,376,912,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138707761376912000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
138707761376912000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 138707761376912000:
27 × 53 × 7 × 13 × 127 × 941 × 797161
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 127 × 941 × 797161)See below for interesting mathematical facts about the number 138707761376912000 from the Numbermatics database.
Names of 138707761376912000
- Cardinal: 138707761376912000 can be written as One hundred thirty-eight quadrillion, seven hundred seven trillion, seven hundred sixty-one billion, three hundred seventy-six million, nine hundred twelve thousand.
Scientific notation
- Scientific notation: 1.38707761376912 × 1017
Factors of 138707761376912000
Divisors of 138707761376912000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 64 65 70 80 91 100 104 112 125 127 128 130 140 160 175 182 200 208 224 250 254 260 280 320 325 350 364 400 416 448 455 500 508 520 560 635 640 650 700 728 800 832 875 889 896 910 941 1000 1016 1040 1120 1270 1300 1400 1456 1600 1625 1651 1664 1750 1778 1820 1882 2000 2032 2080 2240 2275 2540 2600 2800 2912 3175 3200 3250 3302 3500 3556 3640 3764 4000 4064 4160 4445 4480 4550 4705 5080 5200 5600 5824 6350 6500 6587 6604 7000 7112 7280 7528 8000 8128 8255 8320 8890 9100 9410 10160 10400 11200 11375 11557 11648 12233 12700 13000 13174 13208 14000 14224 14560 15056 15875 16000 16256 16510 17780 18200 18820 20320 20800 22225 22400 22750 23114 23525 24466 25400 26000 26348 26416 28000 28448 29120 30112 31750 32935 33020 35560 36400 37640 40640 41275 41600 44450 45500 46228 47050 48932 50800 52000 52696 52832 56000 56896 57785 58240 60224 61165 63500 65870 66040 71120 72800 75280 81280 82550 85631 88900 91000 92456 94100 97864 101600 104000 105392 105664 111125 112000 113792 115570 117625 119507 120448 122330 127000 131740 132080 142240 145600 150560 164675 165100 171262 177800 182000 184912 188200 195728 203200 206375 208000 210784 211328 222250 231140 235250 239014 244660 254000 263480 264160 284480 288925 291200 301120 305825 329350 330200 342524 355600 364000 369824 376400 391456 406400 412750 421568 428155 444500 462280 470500 478028 489320 508000 526960 528320 568960 577850 597535 602240 611650 658700 660400 685048 711200 728000 739648 752800 782912 797161 823375 825500 836549 843136 856310 889000 924560 941000 956056 978640 1016000 1053920 1056640 1155700 1195070 1223300 1317400 1320800 1370096 1422400 1444625 1456000 1479296 1505600 1529125 1553591 1565824 1594322 1646750 1651000 1673098 1712620 1778000 1849120 1882000 1912112 1957280 2032000 2107840 2140775 2311400 2390140 2446600 2634800 2641600 2740192 2844800 2889250 2987675 3011200 3058250 3107182 3188644 3293500 3302000 3346196 3425240 3556000 3698240 3764000 3824224 3914560 3985805 4182745 4215680 4281550 4622800 4780280 4893200 5269600 5283200 5480384 5580127 5778500 5975350 6116500 6214364 6377288 6587000 6604000 6692392 6850480 7112000 7396480 7528000 7648448 7767955 7829120 7971610 8365490 8563100 9245600 9560560 9786400 10363093 10539200 10703875 10875137 10960768 11160254 11557000 11950700 12233000 12428728 12754576 13174000 13208000 13384784 13700960 14224000 14938375 15056000 15296896 15535910 15943220 16730980 17126200 18491200 19121120 19572800 19929025 20726186 20913725 21078400 21407750 21750274 22320508 23114000 23901400 24466000 24857456 25509152 26348000 26416000 26769568 27401920 27900635 29876750 31071820 31886440 33461960 34252400 36982400 38242240 38839775 39145600 39858050 41452372 41827450 42815500 43500548 44641016 46228000 47802800 48932000 49714912 51018304 51815465 52696000 53539136 54375685 54803840 55801270 59753500 62143640 63772880 66923920 68504800 72541651 76484480 77679550 79716100 82904744 83654900 85631000 87001096 89282032 92456000 95605600 97864000 99429824 99645125 101239447 102036608 103630930 104568625 105392000 107078272 108751370 111602540 119507000 124287280 127545760 133847840 137009600 139503175 145083302 155359100 159432200 165809488 167309800 171262000 174002192 178564064 184912000 191211200 194198875 195728000 198859648 199290250 202478894 207261860 209137250 217502740 223205080 239014000 248574560 255091520 259077325 267695680 271878425 274019200 279006350 290166604 310718200 318864400 331618976 334619600 342524000 348004384 357128128 362708255 382422400 388397750 398580500 404957788 414523720 418274500 435005480 446410160 478028000 497149120 506197235 510183040 518154650 535391360 543756850 558012700 580333208 621436400 637728800 663237952 669239200 685048000 696008768 697515875 708676129 714256256 725416510 750128501 776795500 797161000 809915576 829047440 836549000 870010960 892820320 956056000 994298240 1012394470 1036309300 1087513700 1116025400 1160666416 1242872800 1275457600 1295386625 1316112811 1326475904 1338478400 1359392125 1370096000 1392017536 1395031750 1417352258 1450833020 1500257002 1553591000 1594322000 1619831152 1658094880 1673098000 1740021920 1785640640 1813541275 1912112000 2024788940 2072618600 2175027400 2232050800 2321332832 2485745600 2530986175 2550915200 2590773250 2632225622 2676956800 2718784250 2790063500 2834704516 2901666040 3000514004 3107182000 3188644000 3239662304 3316189760 3346196000 3480043840 3543380645 3571281280 3627082550 3750642505 4049577880 4145237200 4350054800 4464101600 4642665664 4971491200 5061972350 5181546500 5250899507 5264451244 5437568500 5580127000 5669409032 5803332080 6001028008 6214364000 6377288000 6479324608 6580564055 6632379520 6692392000 6960087680 7086761290 7254165100 7501285010 8099155760 8290474400 8700109600 8928203200 9067706375 9212789677 9285331328 9751670513 10123944700 10363093000 10501799014 10528902488 10875137000 11160254000 11338818064 11606664160 12002056016 12428728000 12654930875 12754576000 12958649216 13161128110 13384784000 14173522580 14508330200 15002570020 16198311520 16580948800 17400219200 17716903225 17856406400 18135412750 18425579354 18753212525 19503341026 20247889400 20726186000 21003598028 21057804976 21750274000 22320508000 22677636128 23213328320 24004112032 24857456000 25309861750 26254497535 26322256220 28347045160 29016660400 30005140040 32396623040 32902820275 33161897600 34800438400 35433806450 36270825500 36851158708 37506425050 39006682052 40495778800 41452372000 42007196056 42115609952 43500548000 44641016000 45355272256 46063948385 46426656640 48008224064 48758352565 50619723500 52508995070 52644512440 56694090320 58033320800 60010280080 64793246080 65805640550 68261693591 70867612900 72541651000 73702317416 75012850100 78013364104 80991557600 82904744000 84014392112 84231219904 87001096000 88584516125 89282032000 90710544512 92127896770 93766062625 95266319627 96016448128 97516705130 101239447000 105017990140 105289024880 113388180640 116066641600 120020560160 131272487675 131611281100 136523387182 141735225800 145083302000 147404634832 150025700200 156026728208 161983115200 164514101375 165809488000 168028784224 168462439808 174002192000 177169032250 184255793540 187532125250 190532639254 195033410260 202478894000 210035980280 210578049760 226776361280 230319741925 232133283200 240041120320 243791762825 262544975350 263222562200 273046774364 283470451600 290166604000 294809269664 300051400400 312053456416 323966230400 329028202750 336057568448 341308467955 354338064500 368511587080 375064250500 381065278508 390066820520 404957788000 420071960560 421156099520 453552722560 460639483850 476331598135 480082240640 487583525650 525089950700 526445124400 546093548728 566940903200 580333208000 589618539328 600102800800 624106912832 656362438375 658056405500 666864237389 672115136896 682616935910 708676129000 737023174160 750128501000 762130557016 780133641040 809915576000 840143921120 842312199040 921278967700 952663196270 975167051300 1050179901400 1052890248800 1092187097456 1133881806400 1151598709625 1160666416000 1179237078656 1200205601600 1218958814125 1238462155151 1248213825664 1312724876750 1316112811000 1333728474778 1365233871820 1417352258000 1474046348320 1500257002000 1524261114032 1560267282080 1619831152000 1680287842240 1706542339775 1842557935400 1905326392540 1950334102600 2100359802800 2105780497600 2184374194912 2267763612800 2303197419250 2381657990675 2400411203200 2437917628250 2476924310302 2625449753500 2632225622000 2667456949556 2730467743640 2834704516000 2948092696640 3000514004000 3048522228064 3120534564160 3334321186945 3360575684480 3413084679550 3685115870800 3810652785080 3900668205200 4200719605600 4211560995200 4368748389824 4606394838500 4763315981350 4875835256500 4953848620604 5250899507000 5264451244000 5334913899112 5460935487280 5669409032000 5896185393280 6001028008000 6097044456128 6192310775755 6241069128320 6668642373890 6826169359100 7370231741600 7621305570160 7801336410400 8401439211200 8532711698875 8669235086057 8737496779648 9212789677000 9526631962700 9751670513000 9907697241208 10501799014000 10528902488000 10669827798224 10921870974560 11338818064000 11908289953375 12002056016000 12194088912256 12384621551510 13337284747780 13652338718200 14740463483200 15242611140320 15602672820800 16671605934725 16802878422400 17065423397750 17338470172114 18425579354000 19053263925400 19503341026000 19815394482416 21003598028000 21057804976000 21339655596448 21843741949120 23816579906750 24769243103020 26674569495560 27304677436400 29480926966400 30485222280640 30961553878775 31205345641600 33343211869450 34130846795500 34676940344228 36851158708000 38106527850800 39006682052000 39630788964832 42007196056000 42679311192896 43346175430285 43687483898240 47633159813500 49538486206040 53349138991120 54609354872800 60970444561280 61923107757550 66686423738900 68261693591000 69353880688456 73702317416000 76213055701600 78013364104000 79261577929664 83358029673625 84014392112000 85358622385792 86692350860570 95266319627000 99076972412080 106698277982240 109218709745600 123846215515100 133372847477800 136523387182000 138707761376912 147404634832000 152426111403200 154807769393875 156026728208000 158523155859328 166716059347250 173384701721140 190532639254000 198153944824160 213396555964480 216730877151425 218437419491200 247692431030200 266745694955600 273046774364000 277415522753824 304852222806400 309615538787750 333432118694500 346769403442280 381065278508000 396307889648320 426793111928960 433461754302850 495384862060400 533491389911200 546093548728000 554831045507648 619231077575500 666864237389000 693538806884560 762130557016000 792615779296640 866923508605700 990769724120800 1066982779822400 1083654385757125 1092187097456000 1109662091015296 1238462155151000 1333728474778000 1387077613769120 1524261114032000 1733847017211400 1981539448241600 2133965559644800 2167308771514250 2476924310302000 2667456949556000 2774155227538240 3467694034422800 3963078896483200 4334617543028500 4953848620604000 5334913899112000 5548310455076480 6935388068845600 8669235086057000 9907697241208000 10669827798224000 13870776137691200 17338470172114000 19815394482416000 27741552275382400 34676940344228000 69353880688456000 138707761376912000
- Sum of all divisors σ(n): 428242989362872320
- Sum of proper divisors (its aliquot sum) s(n): 289535227985960320
- 138707761376912000 is an abundant number, because the sum of its proper divisors (289535227985960320) is greater than itself. Its abundance is 150827466609048320
Bases of 138707761376912000
- Binary: 1111011001100100111111001010111000111010111100010100000002
- Hexadecimal: 0x1ECC9F95C75E280
- Base-36: 11XRSPW3JKOW
Squares and roots of 138707761376912000
- 138707761376912000 squared (1387077613769120002) is 19239843066194360370126655744000000
- 138707761376912000 cubed (1387077613769120003) is 2668715560954922247532848460493207253782528000000000
-
The
square root of 138707761376912000 is 372434908.9128353983 -
The
cube root of 138707761376912000 is 517646.8642755631
Scales and comparisons
How big is 138707761376912000?- 138,707,761,376,912,000 seconds is equal to 4,410,477,760 years, 26 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,707,761,376,912,000 would take you about thirteen billion, two hundred thirty-one million, four hundred thirty-three thousand, two hundred eighty-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 138707761376912000 cubic inches would be around 43137.2 feet tall.
Recreational maths with 138707761376912000
- 138707761376912000 backwards is 000219673167707831
- The number of decimal digits it has is: 18
- The sum of 138707761376912000's digits is 68
- More coming soon!
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The information we have on file for 138707761376912000 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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