138210849142653600

Names of 138210849142653600

• Cardinal: 138210849142653600 can be written as One hundred thirty-eight quadrillion, two hundred ten trillion, eight hundred forty-nine billion, one hundred forty-two million, six hundred fifty-three thousand, six hundred.

Scientific notation

• Scientific notation: 1.382108491426536 × 10¹⁷

Factors of 138210849142653600

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 190896

Divisors of 138210849142653600

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 43 45 48 50 54 57 60 72 75 76 80 86 90 95 96 100 108 114 120 129 135 144 150 152 160 171 172 180 190 200 215 216 225 228 240 258 270 285 288 300 304 342 344 360 380 387 400 430 432 450 456 475 480 513 516 540 570 600 608 645 675 684 688 720 760 774 800 817 855 860 864 900 912 950 1026 1032 1075 1080 1140 1161 1200 1290 1350 1368 1376 1425 1440 1520 1548 1634 1710 1720 1800 1824 1900 1935 2052 2064 2150 2160 2280 2322 2400 2451 2565 2580 2700 2736 2850 3040 3096 3225 3268 3420 3440 3600 3800 3870 4085 4104 4128 4275 4300 4320 4560 4644 4902 5130 5160 5400 5472 5700 5805 6192 6450 6536 6840 6880 7200 7353 7600 7740 8170 8208 8550 8600 9120 9288 9675 9804 10260 10320 10800 11400 11610 12255 12384 12825 12900 13072 13680 14706 15200 15480 16340 16416 17100 17200 18576 19350 19608 20425 20520 20640 21600 22059 22800 23220 24510 25650 25800 26144 27360 29025 29412 30960 32680 34200 34400 36765 37152 38700 39216 40850 41040 44118 45600 46440 49020 51300 51600 58050 58824 59753 61275 61920 65360 68400 73530 77400 78432 81700 82080 88236 92880 98040 102600 103200 110295 116100 117648 119506 122550 130720 131071 136800 147060 154800 163400 176472 179259 183825 185760 196080 205200 220590 232200 235296 239012 245100 262142 294120 298765 309600 326800 352944 358518 367650 392160 393213 410400 441180 464400 478024 490200 524284 537777 551475 588240 597530 653600 655355 705888 717036 735300 786426 882360 896295 928800 956048 980400 1048568 1075554 1102950 1135307 1176480 1179639 1195060 1310710 1434072 1470600 1493825 1572852 1613331 1764720 1792590 1912096 1960800 1966065 2097136 2151108 2205900 2270614 2359278 2390120 2490349 2569379 2621420 2688885 2868144 2941200 2987650 3145704 3226662 3276775 3405921 3529440 3538917 3585180 3932130 4194272 4302216 4411800 4481475 4541228 4718556 4780240 4980698 5138758 5242840 5377770 5636053 5676535 5736288 5882400 5898195 5975300 6291408 6453324 6553550 6811842 7077834 7170360 7471047 7708137 7864260 8066655 8604432 8823600 8962950 9082456 9437112 9560480 9830325 9961396 10217763 10277516 10485680 10755540 11272106 11353070 11796390 11950600 12451745 12582816 12846895 12906648 13107100 13444425 13623684 14155668 14340720 14942094 15416274 15728520 16133310 16908159 17029605 17208864 17647200 17694585 17925900 18164912 18874224 19660650 19922792 20435526 20555032 20971360 21511080 22413141 22544212 22706140 23124411 23592780 23901200 24903490 25693790 25813296 26214200 26888850 27247368 28180265 28311336 28382675 28681440 29490975 29884188 30653289 30832548 31457040 32266620 33816318 34059210 35389170 35851800 36329824 37355235 37748448 38540685 39321300 39845584 40333275 40871052 41110064 43022160 44826282 45088424 45412280 46248822 47185560 47802400 48818201 49806980 50724477 51088815 51387580 51626592 52428400 53777700 54494736 56360530 56622672 56765350 58981950 59768376 61306578 61665096 62258725 62914080 64234475 64533240 67239423 67632636 68118420 69373233 70778340 71703600 74710470 77081370 78642600 79691168 80666550 81742104 82220128 84540795 85148025 86044320 88472925 89652564 90176848 90824560 92497644 94371120 97636402 99613960 101448954 102177630 102775160 104856800 107085007 107555400 108989472 112065705 112721060 113245344 113530700 115622055 117963900 119536752 122613156 123330192 124517450 128468950 129066480 134478846 135265272 136236840 138746466 140901325 141556680 143407200 146454603 149420940 152173431 153266445 154162740 157285200 161333100 163484208 169081590 170296050 176945850 179305128 180353696 181649120 184995288 186776175 188742240 192703425 195272804 199227920 202897908 204355260 205550320 214170014 215110800 224131410 225442120 227061400 231244110 235927800 239073504 244091005 245226312 246660384 249034900 253622385 255444075 256937900 258132960 268957692 270530544 272473680 277492932 281802650 283113360 292909206 298841880 304346862 306532890 308325480 314570400 321255021 322666200 326968416 336197115 338163180 340592100 346866165 353891700 358610256 369990576 373552350 385406850 390545608 398455840 405795816 408710520 411100640 422703975 428340028 430221600 439363809 448262820 450884240 454122800 462488220 471855600 488182010 490452624 498069800 507244770 510888150 513875800 535425035 537915384 541061088 544947360 554985864 560328525 563605300 566226720 578110275 585818412 597683760 608693724 613065780 616650960 642510042 645332400 672394230 676326360 681184200 693732330 707783400 717220512 732273015 739981152 747104700 760867155 766332225 770813700 781091216 811591632 817421040 845407950 856680056 878727618 896525640 901768480 908245600 924976440 943711200 963765063 976364020 980905248 996139600 1014489540 1021776300 1027751600 1070850070 1075830768 1109971728 1120657050 1127210600 1156220550 1171636824 1195367520 1217387448 1220455025 1226131560 1233301920 1268111925 1285020084 1290664800 1318091427 1344788460 1352652720 1362368400 1387464660 1415566800 1464546030 1494209400 1521734310 1532664450 1541627400 1562182432 1606275105 1623183264 1634842080 1680985575 1690815900 1713360112 1734330825 1757455236 1793051280 1849952880 1927530126 1952728040 1992279200 2028979080 2043552600 2055503200 2141700140 2151661536 2196819045 2219943456 2241314100 2254421200 2312441100 2343273648 2434774896 2440910050 2452263120 2536223850 2570040168 2636182854 2677125175 2689576920 2705305440 2724736800 2774929320 2831133600 2891295189 2929092060 2988418800 3043468620 3065328900 3083254800 3212550210 3361971150 3381631800 3426720224 3468661650 3514910472 3586102560 3661365075 3699905760 3804335775 3855060252 3905456080 4057958160 4087105200 4283400280 4393638090 4482628200 4508842400 4624882200 4686547296 4818825315 4869549792 4881820100 4904526240 5072447700 5140080336 5272365708 5354250350 5379153840 5549858640 5782590378 5858184120 5976837600 6086937240 6130657800 6166509600 6425100420 6590457135 6723942300 6763263600 6937323300 7029820944 7322730150 7608671550 7710120504 7810912160 7831885463 8031375525 8115916320 8174210400 8566800560 8787276180 8965256400 9249764400 9637650630 9763640200 10144895400 10280160672 10544731416 10708500700 10758307680 10984095225 11099717280 11565180756 11716368240 12173874480 12261315600 12850200840 13180914270 13447884600 13526527200 13874646600 14059641888 14456475945 14645460300 15217343100 15420241008 15663770926 16062751050 17133601120 17574552360 17930512800 18499528800 19275301260 19527280400 20289790800 21089462832 21417001400 21968190450 23130361512 23432736480 23495656389 24094126575 24347748960 24522631200 25700401680 26361828540 26895769200 27749293200 28912951890 29290920600 30434686200 30840482016 31327541852 32125502100 32952285675 35149104720 38550602520 39054560800 39159427315 40579581600 42178925664 42834002800 43936380900 46260723024 46991312778 48188253150 51400803360 52723657080 53791538400 55498586400 57825903780 58581841200 60869372400 62655083704 64251004200 65904571350 70298209440 70486969167 72282379725 77101205040 78318854630 85668005600 87872761800 92521446048 93982625556 96376506300 105447314160 115651807560 117163682400 117478281945 121738744800 125310167408 128502008400 131809142700 140973938334 144564759450 148805823797 154202410080 156637709260 175745523600 187965251112 192753012600 195797136575 210894628320 211460907501 231303615120 234956563890 250620334816 257004016800 263618285400 281947876668 289129518900 297611647594 313275418520 336771074909 351491047200 352434845835 375930502224 385506025200 391594273150 422921815002 446417471391 462607230240 469913127780 527236570800 563895753336 578259037800 587391409725 595223295188 626550837040 673542149818 704869691670 744029118985 751861004448 771012050400 783188546300 845843630004 892834942782 939826255560 1010313224727 1054473141600 1057304537505 1127791506672 1156518075600 1174782819450 1190446590376 1253101674080 1339252414173 1347084299636 1409739383340 1488058237970 1566377092600 1683855374545 1691687260008 1762174229175 1785669885564 1879652511120 2020626449454 2114609075010 2232087356955 2255583013344 2313036151200 2349565638900 2380893180752 2678504828346 2694168599272 2819478766680 2976116475940 3030939674181 3132754185200 3367710749090 3383374520016 3524348458350 3571339771128 3720145594925 3759305022240 4017757242519 4041252898908 4229218150020 4464174713910 4699131277800 4761786361504 5051566123635 5286522687525 5357009656692 5388337198544 5638957533360 5952232951880 6061879348362 6265508370400 6398650423271 6696262070865 6735421498180 6766749040032 7048696916700 7142679542256 7440291189850 8035514485038 8082505797816 8419276872725 8458436300040 8928349427820 9092819022543 9398262555600 10103132247270 10573045375050 10714019313384 10776674397088 11160436784775 11277915066720 11904465903760 12123758696724 12797300846542 13392524141730 13470842996360 14097393833400 14285359084512 14880582379700 15154698370905 16071028970076 16165011595632 16838553745450 16916872600080 17856698855640 18185638045086 18796525111200 19195951269813 20088786212595 20206264494540 21146090750100 21428038626768 22320873569550 23808931807520 24247517393448 25257830618175 25594601693084 26785048283460 26941685992720 28194787666800 29761164759400 30309396741810 31993252116355 32142057940152 32330023191264 33481310354325 33677107490900 33833745200160 35713397711280 36371276090172 38391902539626 40177572425190 40412528989080 42292181500200 42856077253536 44641747139100 45464095112715 48495034786896 50515661236350 51189203386168 53570096566920 53883371985440 56389575333600 57587853809439 59522329518800 60618793483620 63986504232710 64284115880304 66962620708650 67354214981800 71426795422560 72742552180344 75773491854525 76783805079252 80355144850380 80825057978160 84584363000400 89283494278200 90928190225430 95979756349065 96990069573792 100443931062975 101031322472700 102378406772336 107140193133840 115175707618878 119044659037600 121237586967240 127973008465420 128568231760608 133925241417300 134708429963600 145485104360688 151546983709050 153567610158504 159966260581775 160710289700760 161650115956320 169168726000800 172763561428317 178566988556400 181856380450860 191959512698130 200887862125950 202062644945400 204756813544672 214280386267680 227320475563575 230351415237756 242475173934480 255946016930840 267850482834600 269416859927200 287939269047195 290970208721376 303093967418100 307135220317008 319932521163550 321420579401520 345527122856634 357133977112800 363712760901720 383919025396260 401775724251900 404125289890800 454640951127150 460702830475512 479898781745325 484950347868960 511892033861680 535700965669200 575878538094390 606187934836200 614270440634016 639865042327100 642841158803040 691054245713268 727425521803440 767838050792520 803551448503800 808250579781600 863817807141585 909281902254300 921405660951024 959797563490650 1023784067723360 1071401931338400 1151757076188780 1212375869672400 1279730084654200 1382108491426536 1439696345235975 1454851043606880 1535676101585040 1607102897007600 1727635614283170 1818563804508600 1842811321902048 1919595126981300 2303514152377560 2424751739344800 2559460169308400 2764216982853072 2879392690471950 3071352203170080 3214205794015200 3455271228566340 3637127609017200 3839190253962600 4319089035707925 4607028304755120 5118920338616800 5528433965706144 5758785380943900 6910542457132680 7274255218034400 7678380507925200 8638178071415850 9214056609510240 11517570761887800 13821084914265360 15356761015850400 17276356142831700 23035141523775600 27642169828530720 34552712285663400 46070283047551200 69105424571326800 138210849142653600
• Sum of all divisors σ(n): 538420783664332800
• Sum of proper divisors (its aliquot sum) s(n): 400209934521679200
• 138210849142653600 is an abundant number, because the sum of its proper divisors (400209934521679200) is greater than itself. Its abundance is 261999085379025600

Bases of 138210849142653600

• Binary: 111101011000001100000100011110111010000001100001010100000₂
• Hexadecimal: 0x1EB0608F740C2A0
• Base-36: 11SVNNK95RC0

Squares and roots of 138210849142653600

• 138210849142653600 squared (138210849142653600²) is 19102238820733351358162849592960000
• 138210849142653600 cubed (138210849142653600³) is 2640136647939318429664357733809125903734278656000000
• The square root of 138210849142653600 is 371767197.5075982951
• The cube root of 138210849142653600 is 517027.9783661455

Scales and comparisons

• 138,210,849,142,653,600 seconds is equal to 4,394,677,488 years, 26 weeks, 3 days, 18 hours.
• To count from 1 to 138,210,849,142,653,600 would take you about thirteen billion, one hundred eighty-four million, thirty-two thousand, four hundred sixty-five 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 138210849142653600 cubic inches would be around 43085.7 feet tall.

Recreational maths with 138210849142653600

• 138210849142653600 backwards is 006356241948012831
• The number of decimal digits it has is: 18
• The sum of 138210849142653600's digits is 63
• More coming soon!