138260863514800800
138,260,863,514,800,800 is an even composite number composed of five prime numbers multiplied together.
138260863514800800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138260863514800800:
25 × 33 × 52 × 732 × 10633
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 73 × 73 × 1063 × 1063 × 1063)See below for interesting mathematical facts about the number 138260863514800800 from the Numbermatics database.
Names of 138260863514800800
- Cardinal: 138260863514800800 can be written as One hundred thirty-eight quadrillion, two hundred sixty trillion, eight hundred sixty-three billion, five hundred fourteen million, eight hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 1.382608635148008 × 1017
Factors of 138260863514800800
Divisors of 138260863514800800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 73 75 80 90 96 100 108 120 135 144 146 150 160 180 200 216 219 225 240 270 288 292 300 360 365 400 432 438 450 480 540 584 600 657 675 720 730 800 864 876 900 1063 1080 1095 1168 1200 1314 1350 1440 1460 1752 1800 1825 1971 2126 2160 2190 2336 2400 2628 2700 2920 3189 3285 3504 3600 3650 3942 4252 4320 4380 5256 5315 5329 5400 5475 5840 6378 6570 7008 7200 7300 7884 8504 8760 9567 9855 10512 10630 10658 10800 10950 11680 12756 13140 14600 15768 15945 15987 16425 17008 17520 19134 19710 21024 21260 21316 21600 21900 25512 26280 26575 26645 28701 29200 31536 31890 31974 32850 34016 35040 38268 39420 42520 42632 43800 47835 47961 49275 51024 52560 53150 53290 57402 58400 63072 63780 63948 65700 76536 77599 78840 79725 79935 85040 85264 87600 95670 95922 98550 102048 105120 106300 106580 114804 127560 127896 131400 133225 143505 143883 153072 155198 157680 159450 159870 170080 170528 175200 191340 191844 197100 212600 213160 229608 232797 239175 239805 255120 255792 262800 266450 287010 287766 306144 310396 315360 318900 319740 382680 383688 387995 394200 399675 425200 426320 459216 465594 478350 479610 510240 511584 525600 532900 574020 575532 620792 637800 639480 698391 717525 719415 765360 767376 775990 788400 799350 850400 852640 918432 931188 956700 959220 1065800 1129969 1148040 1151064 1163985 1199025 1241584 1275600 1278960 1396782 1435050 1438830 1530720 1534752 1551980 1576800 1598700 1862376 1913400 1918440 1939975 2095173 2131600 2259938 2296080 2302128 2327970 2398050 2483168 2551200 2557920 2793564 2870100 2877660 3103960 3197400 3389907 3491955 3597075 3724752 3826800 3836880 3879950 4190346 4263200 4519876 4592160 4604256 4655940 4796100 5587128 5649845 5664727 5740200 5755320 5819925 6207920 6394800 6779814 6983910 7194150 7449504 7653600 7673760 7759900 8380692 9039752 9311880 9592200 10169721 10475865 11174256 11299690 11329454 11480400 11510640 11639850 12415840 12789600 13559628 13967820 14388300 15519800 16761384 16949535 16994181 17459775 18079504 18623760 19184400 20339442 20951730 22348512 22599380 22658908 22960800 23021280 23279700 27119256 27935640 28249225 28323635 28776600 30509163 31039600 33522768 33899070 33988362 34919550 36159008 37247520 38368800 40678884 41903460 45198760 45317816 46559400 50848605 50982543 52379325 54238512 55871280 56498450 56647270 57553200 61018326 62079200 67045536 67798140 67976724 69839100 81357768 82487737 83806920 84747675 84970905 90397520 90635632 93118800 101697210 101965086 104758650 108477024 111742560 112996900 113294540 115106400 122036652 135596280 135953448 139678200 141618175 152545815 152947629 162715536 164975474 167613840 169495350 169941810 180795040 181271264 186237600 203394420 203930172 209517300 225993800 226589080 244073304 247463211 254243025 254912715 271192560 271906896 279356400 283236350 305091630 305895258 325431072 329950948 335227680 338990700 339883620 406788840 407860344 412438685 419034600 424854525 451987600 453178160 488146608 494926422 508486050 509825430 542385120 543813792 558712800 566472700 610183260 611790516 659901896 677981400 679767240 742389633 762729075 764738145 813577680 815720688 824877370 838069200 849709050 903975200 906356320 976293216 989852844 1016972100 1019650860 1132945400 1201157047 1220366520 1223581032 1237316055 1274563575 1319803792 1355962800 1359534480 1484779266 1525458150 1529476290 1627155360 1631441376 1649754740 1676138400 1699418100 1979705688 2033944200 2039301720 2062193425 2227168899 2265890800 2402314094 2440733040 2447162064 2474632110 2549127150 2639607584 2711925600 2719068960 2969558532 3050916300 3058952580 3299509480 3398836200 3603471141 3711948165 3823690725 3959411376 4067888400 4078603440 4124386850 4454337798 4531781600 4804628188 4881466080 4894324128 4949264220 5098254300 5939117064 6005785235 6021604801 6101832600 6117905160 6186580275 6599018960 6797672400 7206942282 7423896330 7647381450 7918822752 8135776800 8157206880 8248773700 8908675596 9609256376 9898528440 10196508600 10810413423 11135844495 11878234128 12011570470 12043209602 12203665200 12235810320 12373160550 13198037920 13595344800 14413884564 14847792660 15294762900 16497547400 17817351192 18017355705 18064814403 18559740825 19218512752 19797056880 20393017200 21620826846 22271688990 23756468256 24023140940 24086419204 24407330400 24471620640 24746321100 28827769128 29695585320 30028926175 30108024005 30589525800 32431240269 32995094800 35634702384 36034711410 36129628806 37119481650 38437025504 39594113760 40786034400 43241653692 44543377980 48046281880 48172838408 49492642200 54052067115 54194443209 55679222475 57655538256 59391170640 60057852350 60216048010 61179051600 64862480538 65990189600 71269404768 72069422820 72259257612 74238963300 86483307384 87684464431 89086755960 90086778525 90324072015 96092563760 96345676816 98985284400 108104134230 108388886418 111358444950 115311076512 118782341280 120115704700 120432096020 122358103200 129724961076 144138845640 144518515224 148477926600 150540120025 162156201345 162583329627 172966614768 175368928862 178173511920 180173557050 180648144030 192185127520 192691353632 197970568800 216208268460 216777772836 222716889900 240231409400 240864192040 259449922152 263053393293 270260335575 270972216045 288277691280 289037030448 296955853200 301080240050 324312402690 325166659254 345933229536 350737857724 356347023840 360347114100 361296288060 432416536920 433555545672 438422322155 445433779800 451620360075 480462818800 481728384080 518899844304 526106786586 540520671150 541944432090 576555382560 578074060896 593911706400 602160480100 648624805380 650333318508 701475715448 720694228200 722592576120 789160179879 810781006725 812916648135 864833073840 867111091344 876844644310 890867559600 903240720150 960925637600 963456768160 1037799688608 1052213573172 1081041342300 1083888864180 1204320960200 1297249610760 1300666637016 1315266966465 1354861080225 1402951430896 1441388456400 1445185152240 1578320359758 1621562013450 1625833296270 1729666147680 1734222182688 1753689288620 1781735119200 1806481440300 2104427146344 2162082684600 2167777728360 2192111610775 2367480539637 2408641920400 2594499221520 2601333274032 2630533932930 2709722160450 2805902861792 2882776912800 2890370304480 3156640719516 3243124026900 3251666592540 3507378577240 3612962880600 3945800899395 4064583240675 4208854292688 4324165369200 4335555456720 4384223221550 4734961079274 4817283840800 5188998443040 5202666548064 5261067865860 5419444320900 6313281439032 6400965903463 6486248053800 6503333185080 6576334832325 7014757154480 7225925761200 7891601798790 8129166481350 8417708585376 8648330738400 8671110913440 8768446443100 9469922158548 10522135731720 10838888641800 11837402698185 12626562878064 12801931806926 12972496107600 13006666370160 13152669664650 14029514308960 14451851522400 15783203597580 16258332962700 17536892886200 18939844317096 19202897710389 19729004496975 21044271463440 21677777283600 23674805396370 25253125756128 25603863613852 25944992215200 26013332740320 26305339329300 31566407195160 32004829517315 32516665925400 35073785772400 37879688634192 38405795420778 39458008993950 42088542926880 43355554567200 47349610792740 51207727227704 52610678658600 57608693131167 59187013490925 63132814390320 64009659034630 65033331850800 70147571544800 75759377268384 76811590841556 78916017987900 94699221585480 96014488551945 102415454455408 105221357317200 115217386262334 118374026981850 126265628780640 128019318069260 130066663701600 153623181683112 157832035975800 160024147586575 172826079393501 189398443170960 192028977103890 204830908910816 210442714634400 230434772524668 236748053963700 256038636138520 288043465655835 307246363366224 315664071951600 320048295173150 345652158787002 378796886341920 384057954207780 460869545049336 473496107927400 480072442759725 512077272277040 576086931311670 614492726732448 631328143903200 640096590346300 691304317574004 768115908415560 864130396967505 921739090098672 946992215854800 960144885519450 1024154544554080 1152173862623340 1280193180692600 1382608635148008 1440217328279175 1536231816831120 1728260793935010 1843478180197344 1893984431709600 1920289771038900 2304347725246680 2560386361385200 2765217270296016 2880434656558350 3072463633662240 3456521587870020 3840579542077800 4320651984837525 4608695450493360 5120772722770400 5530434540592032 5760869313116700 6913043175740040 7681159084155600 8641303969675050 9217390900986720 11521738626233400 13826086351480080 15362318168311200 17282607939350100 23043477252466800 27652172702960160 34565215878700200 46086954504933600 69130431757400400 138260863514800800
- Sum of all divisors σ(n): 507464590206268800
- Sum of proper divisors (its aliquot sum) s(n): 369203726691468000
- 138260863514800800 is an abundant number, because the sum of its proper divisors (369203726691468000) is greater than itself. Its abundance is 230942863176667200
Bases of 138260863514800800
- Binary: 1111010110011001110000101110110000010001101110010101000002
- Hexadecimal: 0x1EB3385D82372A0
- Base-36: 11TDDVUJ04O0
Squares and roots of 138260863514800800
- 138260863514800800 squared (1382608635148008002) is 19116066379858375027200663680640000
- 138260863514800800 cubed (1382608635148008003) is 2643003844685471014242607585360966215644416512000000
-
The
square root of 138260863514800800 is 371834457.1375826649 -
The
cube root of 138260863514800800 is 517090.3364982527
Scales and comparisons
How big is 138260863514800800?- 138,260,863,514,800,800 seconds is equal to 4,396,267,790 years, 43 weeks, 4 days, 18 hours.
-
To count from 1 to 138,260,863,514,800,800 would take you about thirteen billion, one hundred eighty-eight million, eight hundred three thousand, three hundred seventy-two 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 138260863514800800 cubic inches would be around 43090.9 feet tall.
Recreational maths with 138260863514800800
- 138260863514800800 backwards is 008008415368062831
- The number of decimal digits it has is: 18
- The sum of 138260863514800800's digits is 63
- More coming soon!
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The information we have on file for 138260863514800800 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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