138868047388800

Names of 138868047388800

• Cardinal: 138868047388800 can be written as One hundred thirty-eight trillion, eight hundred sixty-eight billion, forty-seven million, three hundred eighty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.388680473888 × 10¹⁴

Factors of 138868047388800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 1112

Divisors of 138868047388800

• Number of divisors d(n): 1536
• 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 64 72 75 80 89 90 96 100 108 120 128 135 137 144 150 160 178 180 192 193 200 216 225 240 267 270 274 288 300 320 356 360 384 386 400 411 432 445 450 480 534 540 548 576 579 600 640 675 683 685 712 720 772 800 801 822 864 890 900 960 965 1068 1080 1096 1152 1158 1200 1233 1335 1350 1366 1370 1424 1440 1544 1600 1602 1644 1728 1737 1780 1800 1920 1930 2049 2055 2136 2160 2192 2225 2316 2400 2403 2466 2670 2700 2732 2740 2848 2880 2895 3088 3200 3204 3288 3415 3425 3456 3474 3560 3600 3699 3860 4005 4098 4110 4272 4320 4384 4450 4632 4800 4806 4825 4932 5211 5340 5400 5464 5480 5696 5760 5790 6147 6165 6176 6408 6576 6675 6830 6850 6948 7120 7200 7398 7720 8010 8196 8220 8544 8640 8685 8768 8900 9264 9600 9612 9650 9864 10245 10275 10422 10680 10800 10928 10960 11392 11580 12015 12193 12294 12330 12352 12816 13152 13350 13660 13700 13896 14240 14400 14475 14796 15440 16020 16392 16440 17075 17088 17177 17280 17370 17536 17800 18441 18495 18528 19224 19300 19728 20025 20490 20550 20844 21360 21600 21856 21920 23160 24030 24386 24588 24660 24704 25632 26055 26304 26441 26700 27320 27400 27792 28480 28800 28950 29592 30735 30825 30880 32040 32784 32880 34150 34176 34354 34740 35600 36579 36882 36990 37056 38448 38600 39456 40050 40980 41100 41688 42720 43200 43425 43712 43840 46320 48060 48772 49176 49320 51225 51264 51531 52110 52608 52882 53400 54640 54800 55584 56960 57900 59184 60075 60787 60965 61470 61650 61760 64080 65568 65760 68300 68708 69480 71200 73158 73764 73980 74112 76896 77200 78912 79323 80100 81960 82200 83376 85440 85885 86400 86850 87424 87680 92205 92475 92640 93571 96120 97544 98352 98640 102450 102528 103062 104220 105764 106800 109280 109600 109737 111168 115800 118368 120150 121574 121930 122940 123300 123520 128160 130275 131136 131520 131819 132205 136600 137416 138960 142400 146316 147528 147960 153675 153792 154400 154593 157824 158646 160200 163920 164400 166752 170880 171770 173700 182361 182895 184410 184950 185280 187142 192240 195088 196704 197280 204900 206124 208440 211528 213600 218560 219200 219474 222336 231600 236736 237969 240300 243148 243860 245880 246600 256320 257655 260550 262272 263040 263638 264410 273200 274832 277920 280713 284800 292632 295056 295920 303935 304825 307350 307584 308800 309186 317292 320400 327840 328800 329211 333504 343540 347400 364722 365790 368820 369900 370560 374284 384480 390176 393408 394560 395457 396615 409800 412248 416880 423056 427200 429425 437120 438400 438948 461025 463200 463779 467855 473472 475938 480600 486296 487720 491760 493200 512640 515310 521100 527276 528820 546400 547083 548685 549664 555840 561426 585264 590112 591840 607870 609650 614700 617600 618372 634584 640800 655680 657600 658422 659095 661025 667008 687080 694800 713907 729444 731580 737640 739800 748568 768960 772965 780352 786816 789120 790914 793230 819600 824496 833760 842139 846112 854400 858850 877896 911805 914475 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3435400 3511584 3559113 3569535 3647220 3657900 3688200 3710232 3742840 3807504 3844800 3864825 3890368 3901760 3934080 3945600 3954570 3966150 4122480 4168800 4210695 4218208 4230560 4376664 4389480 4491408 4559025 4637790 4678550 4682112 4706498 4745484 4759380 4862960 4877200 4917600 4946976 5052834 5076672 5153100 5267376 5272760 5288200 5470830 5486850 5496640 5558400 5614260 5711256 5835552 5852640 5901120 5918400 5931855 5949225 5988544 6078700 6183720 6327312 6345840 6556800 6564996 6584220 6590950 6595968 6737112 6870800 7017825 7023168 7059747 7118226 7139070 7294440 7315800 7376400 7420464 7485680 7615008 7689600 7729650 7780736 7803520 7909140 7932300 8206245 8230275 8244960 8327819 8337600 8421390 8436416 8461120 8753328 8778960 8982816 9118050 9275580 9357100 9412996 9490968 9518760 9725920 9754400 9835200 9886425 9893952 10105668 10153344 10306200 10534752 10545520 10576400 10941660 10973700 10993280 11228520 11422512 11594475 11671104 11705280 11731891 11766245 11802240 11836800 11863710 11898450 11977088 12157400 12367440 12632085 12654624 12691680 13129992 13168440 13181900 13474224 13677075 13741600 14035650 14046336 14119494 14236452 14278140 14588880 14631600 14752800 14840928 14971360 15230016 15459300 15818280 15864600 16412490 16460550 16489920 16655638 16675200 16842780 16872832 16922240 17506656 17557920 17795565 17847675 17965632 18059203 18236100 18551160 18714200 18825992 18981936 19037520 19451840 19508800 19670400 19772850 19787904 20211336 20612400 21053475 21069504 21091040 21152800 21179241 21883320 21947400 22457040 22845024 23188950 23342208 23410560 23463782 23532490 23727420 23796900 24314800 24734880 24983457 25264170 25309248 25383360 26259984 26336880 26363800 26948448 27354150 27483200 28071300 28238988 28472904 28556280 29177760 29263200 29505600 29659275 29681856 29942720 30460032 30918600 31636560 31729200 32824980 32921100 32979840 33311276 33685560 35013312 35115840 35195673 35298735 35591130 35695350 35931264 36118406 36472200 37102320 37428400 37651984 37963872 38075040 38903680 39017600 39545700 40422672 41031225 41224800 41639095 42106950 42139008 42182080 42305600 42358482 43766640 43894800 44914080 45690048 46377900 46927564 47064980 47454840 47593800 48629600 49469760 49966914 50528340 50618496 50766720 52519968 52673760 52727600 53896896 54177609 54708300 54966400 56142600 56477976 56945808 57112560 58355520 58526400 58659455 58831225 59011200 59318550 59363712 59885440 61837200 63160425 63273120 63458400 63537723 65649960 65842200 66622552 67371120 70026624 70231680 70391346 70597470 71182260 71390700 72236812 72944400 74204640 74856800 74950371 75303968 75927744 76150080 79091400 80845344 82062450 82449600 83278190 84213900 84364160 84611200 84716964 87533280 87789600 88977825 89828160 90296015 91380096 92755800 93855128 94129960 94909680 95187600 97259200 98939520 99933828 101056680 105039936 105347520 105455200 105587019 105896205 107793792 108355218 109416600 112285200 112955952 113891616 114225120 116711040 117052800 117318910 117662450 118637100 123674400 124917285 126320850 126546240 126916800 127075446 131299920 131684400 133245104 134742240 140782692 141194940 142364520 142781400 144473624 145888800 148409280 149713600 149900742 150607936 151855488 152300160 158182800 161690688 162532827 164124900 164899200 166556380 168427800 169433928 175066560 175579200 175978365 176493675 177955650 179656320 180592030 185511600 187710256 188259920 189819360 190375200 194518400 199867656 202113360 208195475 210079872 210695040 210910400 211174038 211792410 216710436 218833200 224570400 224851113 225911904 227783232 228450240 234637820 235324900 237274200 247348800 249834570 252641700 253092480 253833600 254150892 262599840 263368800 266490208 269484480 270888045 281565384 282389880 284729040 285562800 288947248 291777600 293297275 296818560 299427200 299801484 301215872 316365600 316761057 317688615 323381376 325065654 328249800 333112760 336855600 338867856 350133120 351158400 351956730 352987350 355911300 361184060 371023200 374751855 375420512 376519840 379638720 380750400 399735312 404226720 416390950 421820800 422348076 423584820 433420872 437666400 449140800 449702226 451480075 451823808 455566464 456900480 469275640 470649800 474548400 487598481 494697600 499669140 505283400 508301784 525199680 526737600 527935095 529481025 532980416 538968960 541776090 563130768 564779760 569458080 571125600 577894496 583555200 586594550 599602968 624586425 632731200 633522114 635377230 650131308 656499600 666225520 673711200 677735712 703913460 705974700 711822600 722368120 742046400 749503710 750841024 753039680 759277440 761500800 799470624 808453440 812664135 832781900 844696152 847169640 866841744 875332800 879891825 898281600 899404452 902960150 903647616 938551280 941299600 949096800 975196962 999338280 1010566800 1016603568 1050399360 1053475200 1055870190 1058962050 1065960832 1083552180 1124255565 1126261536 1129559520 1138916160 1142251200 1155788992 1173189100 1199205936 1249172850 1265462400 1267044228 1270754460 1300262616 1312999200 1332451040 1347422400 1354440225 1355471424 1407826920 1411949400 1423645200 1444736240 1484092800 1499007420 1501682048 1506079360 1583805285 1588443075 1598941248 1607269067 1616906880 1625328270 1665563800 1689392304 1694339280 1733683488 1750665600 1759783650 1798808904 1805920300 1873759275 1877102560 1882599200 1898193600 1950393924 1998676560 2021133600 2033207136 2111740380 2117924100 2167104360 2248511130 2252523072 2259119040 2277832320 2284502400 2311577984 2346378200 2398411872 2437992405 2498345700 2534088456 2541508920 2600525232 2625998400 2639675475 2664902080 2694844800 2708880450 2710942848 2815653840 2823898800 2847290400 2889472480 2998014840 3167610570 3176886150 3197882496 3214538134 3250656540 3331127600 3378784608 3388678560 3467366976 3519567300 3597617808 3611840600 3747518550 3754205120 3765198400 3796387200 3900787848 3997353120 4042267200 4063320675 4066414272 4223480760 4235848200 4334208720 4497022260 4505046144 4518238080 4692756400 4796823744 4821807201 4875984810 4996691400 5068176912 5083017840 5201050464 5251996800 5279350950 5329804160 5417760900 5621277825 5631307680 5647797600 5694580800 5778944960 5996029680 6335221140 6353772300 6429076268 6501313080 6662255200 6757569216 6777357120 6934733952 7039134600 7195235616 7223681200 7495037100 7508410240 7530396800 7801575696 7919026425 7994706240 8036345335 8084534400 8126641350 8132828544 8446961520 8471696400 8668417440 8994044520 9385512800 9593647488 9643614402 9751969620 9993382800 10136353824 10166035680 10402100928 10558701900 10835521800 11242555650 11262615360 11295595200 11389161600 11557889920 11992059360 12189962025 12670442280 12707544600 12858152536 13002626160 13324510400 13515138432 13554714240 14078269200 14390471232 14447362400 14465421603 14990074200 15603151392 15838052850 15989412480 16072690670 16253282700 16893923040 16943392800 17336834880 17988089040 18771025600 19287228804 19503939240 19986765600 20272707648 20332071360 20804201856 21117403800 21671043600 22485111300 22525230720 22591190400 23984118720 24109036005 24379924050 25340884560 25415089200 25716305072 26005252320 26649020800 28156538400 28780942464 28894724800 28930843206 29980148400 31206302784 31676105700 32145381340 32506565400 33787846080 33886785600 34673669760 35976178080 37542051200 38574457608 39007878480 39973531200 40181726675 40545415296 40664142720 42234807600 43342087200 43396264809 44970222600 47968237440 48218072010 48759848100 50681769120 50830178400 51432610144 52010504640 56313076800 57789449600 57861686412 59960296800 62412605568 63352211400 64290762680 65013130800 67575692160 67773571200 71952356160 72327108015 77148915216 78015756960 79947062400 80363453350 84469615200 86684174400 86792529618 89940445200 96436144020 97519696200 101363538240 101660356800 102865220288 104021009280 112626153600 115723372824 119920593600 120545180025 126704422800 128581525360 130026261600 143904712320 144654216030 154297830432 156031513920 160726906700 168939230400 173368348800 173585059236 179880890400 192872288040 195039392400 202727076480 203320713600 205730440576 216981324045 231446745648 239841187200 241090360050 253408845600 257163050720 260052523200 289308432060 308595660864 312063027840 321453813400 337878460800 347170118472 359761780800 361635540075 385744576080 390078784800 433962648090 462893491296 482180720100 506817691200 514326101440 520105046400 578616864120 617191321728 642907626800 694340236944 719523561600 723271080150 771489152160 780157569600 867925296180 925786982592 964361440200 1013635382400 1028652202880 1084906620225 1157233728240 1285815253600 1388680473888 1446542160300 1542978304320 1560315139200 1735850592360 1851573965184 1928722880400 2169813240450 2314467456480 2571630507200 2777360947776 2893084320600 3085956608640 3471701184720 3857445760800 4339626480900 4628934912960 5143261014400 5554721895552 5786168641200 6943402369440 7714891521600 8679252961800 9257869825920 11572337282400 13886804738880 15429783043200 17358505923600 23144674564800 27773609477760 34717011847200 46289349129600 69434023694400 138868047388800
• Sum of all divisors σ(n): 521124261984000
• Sum of proper divisors (its aliquot sum) s(n): 382256214595200
• 138868047388800 is an abundant number, because the sum of its proper divisors (382256214595200) is greater than itself. Its abundance is 243388167206400

Bases of 138868047388800

• Binary: 11111100100110010111100101000101010000010000000₂
• Hexadecimal: 0x7E4CBCA2A080
• Base-36: 1D833LY5C0

Squares and roots of 138868047388800

• 138868047388800 squared (138868047388800²) is 19284334585578002498365440000
• 138868047388800 cubed (138868047388800³) is 2677977889091520859981856716460163072000000
• The square root of 138868047388800 is 11784228.7566391039
• The cube root of 138868047388800 is 51784.6179275221

Scales and comparisons

• 138,868,047,388,800 seconds is equal to 4,415,574 years, 18 weeks, 5 days.
• To count from 1 to 138,868,047,388,800 would take you about eleven million, thirty-eight thousand, nine hundred thirty-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 138868047388800 cubic inches would be around 4315.4 feet tall.

Recreational maths with 138868047388800

• 138868047388800 backwards is 008883740868831
• 138868047388800 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138868047388800's digits is 72
• More coming soon!