137509893144000

Names of 137509893144000

• Cardinal: 137509893144000 can be written as One hundred thirty-seven trillion, five hundred nine billion, eight hundred ninety-three million, one hundred forty-four thousand.

Scientific notation

• Scientific notation: 1.37509893144 × 10¹⁴

Factors of 137509893144000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 6528

Divisors of 137509893144000

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 130 144 150 151 156 157 160 180 192 195 200 208 225 234 240 250 260 288 300 302 312 314 320 325 360 375 390 400 416 450 453 468 471 480 500 520 576 585 600 604 624 628 650 720 750 755 780 785 800 832 900 906 936 942 960 975 1000 1040 1125 1170 1200 1208 1248 1256 1300 1359 1413 1440 1500 1510 1560 1570 1600 1625 1800 1812 1872 1884 1950 1963 2000 2041 2080 2250 2265 2340 2355 2400 2416 2496 2512 2600 2718 2826 2880 2925 3000 3020 3120 3140 3250 3600 3624 3744 3768 3775 3900 3925 3926 4000 4082 4160 4500 4530 4680 4710 4800 4832 4875 5024 5200 5436 5652 5850 5889 6000 6040 6123 6197 6240 6280 6500 6795 7065 7200 7248 7488 7536 7550 7800 7850 7852 8000 8164 9000 9060 9360 9420 9664 9750 9815 10048 10205 10400 10872 11304 11325 11700 11775 11778 12000 12080 12246 12394 12480 12560 13000 13590 14130 14400 14496 14625 15072 15100 15600 15700 15704 16328 17667 18000 18120 18369 18591 18720 18840 18875 19500 19625 19630 20410 20800 21744 22608 22650 23400 23550 23556 23707 24000 24160 24492 24788 25120 26000 27180 28260 28992 29250 29445 30144 30200 30615 30985 31200 31400 31408 32656 33975 35325 35334 36000 36240 36738 37182 37440 37680 37750 39000 39250 39260 40820 43488 45216 45300 46800 47100 47112 47414 48320 48984 49075 49576 50240 51025 52000 54360 55773 56520 56625 58500 58875 58890 60400 61230 61970 62400 62800 62816 65312 67950 70650 70668 71121 72000 72480 73476 74364 75360 75500 78000 78500 78520 80561 81640 86976 88335 90432 90600 91845 92955 93600 94200 94224 94828 97968 98150 99152 102050 104000 108720 111546 113040 113250 117000 117750 117780 118535 120800 122460 123940 125600 125632 130624 135900 141300 141336 142242 144960 146952 147225 148728 150720 151000 153075 154925 156000 157000 157040 161122 163280 169875 176625 176670 181200 183690 185910 187200 188400 188448 189656 195936 196300 198304 204100 213363 217440 223092 226080 226500 234000 235500 235560 237070 241600 241683 244920 245375 247880 251200 255125 271800 278865 282600 282672 284484 293904 294450 297456 302000 306150 308191 309850 312000 314000 314080 322244 326560 339750 353250 353340 355605 362400 367380 371820 376800 376896 379312 391872 392600 396608 402805 408200 426726 434880 441675 446184 452160 453000 459225 464775 468000 471000 471120 474140 483366 489840 490750 495760 510250 543600 557730 565200 565344 568968 587808 588900 592675 594912 604000 612300 616382 619700 628000 628160 644488 653120 679500 706500 706680 711210 724800 725049 734760 736125 743640 753600 758624 765375 774625 785200 805610 816400 853452 883350 892368 906000 918450 924573 929550 935747 936000 942000 942240 948280 966732 972929 979680 981500 991520 1020500 1066815 1087200 1115460 1130400 1130688 1137936 1175616 1177800 1185350 1189824 1208000 1208415 1224600 1232764 1239400 1256000 1288976 1359000 1394325 1413000 1413360 1422420 1450098 1469520 1472250 1487280 1517248 1530750 1540955 1549250 1570400 1611220 1632800 1706904 1766700 1778025 1784736 1812000 1836900 1849146 1859100 1871494 1884000 1884480 1896560 1933464 1945858 1959360 1963000 1983040 2014025 2041000 2133630 2174400 2208375 2230920 2260800 2275872 2296125 2323875 2355600 2370700 2416830 2449200 2465528 2478800 2577952 2718000 2773719 2788650 2807241 2826000 2826720 2844840 2900196 2918787 2939040 2944500 2963375 2974560 3061500 3081910 3098500 3140800 3222440 3265600 3413808 3533400 3556050 3569472 3624000 3625245 3673800 3698292 3718200 3742988 3768000 3793120 3866928 3891716 3926000 4028050 4082000 4267260 4416750 4461840 4551744 4592250 4622865 4647750 4678735 4711200 4741400 4833660 4864645 4898400 4931056 4957600 5155904 5334075 5436000 5547438 5577300 5614482 5652000 5653440 5689680 5800392 5837574 5878080 5889000 5926750 5949120 6042075 6123000 6163820 6197000 6444880 6827616 6971625 7066800 7112100 7250490 7347600 7396584 7436400 7485976 7586240 7704775 7733856 7783432 7852000 8056100 8164000 8421723 8534520 8756361 8833500 8890125 8923680 9184500 9245730 9295500 9357470 9422400 9482800 9667320 9729290 9796800 9862112 9915200 10070125 10668150 10872000 11094876 11154600 11228964 11304000 11379360 11600784 11675148 11778000 11853500 12084150 12164711 12246000 12327640 12394000 12648077 12889760 13655232 13868595 13943250 14036205 14133600 14224200 14500980 14593935 14695200 14793168 14872800 14971952 15409550 15467712 15566864 15704000 16112200 16328000 16843446 17069040 17512722 17667000 17780250 17847360 18126225 18369000 18491460 18591000 18714940 18965600 19334640 19458580 19724224 20140250 21336300 22189752 22309200 22457928 22758720 23114325 23201568 23350296 23393675 23556000 23707000 24168300 24323225 24329422 24492000 24655280 24788000 25296154 25779520 26670375 27737190 27886500 28072410 28267200 28448400 29001960 29187870 29390400 29586336 29745600 29943904 30210375 30819100 31133728 32224400 33686892 34138080 35025444 35334000 35560500 36252450 36494133 36738000 36982920 37182000 37429880 37931200 37944231 38523875 38669280 38917160 40280500 42108615 42672600 43781805 44379504 44618400 44915856 46228650 46403136 46700592 46787350 47112000 47414000 48336600 48646450 48658844 48984000 49310560 49576000 50592308 53340750 55474380 55773000 56144820 56896800 58003920 58375740 59172672 59887808 60420750 60823555 61638200 62267456 63240385 64448800 67373784 68276160 69342975 70050888 70181025 70668000 71121000 72504900 72969675 72988266 73476000 73965840 74364000 74859760 75888462 77047750 77338560 77834320 80561000 84217230 85345200 87563610 88759008 89236800 89831712 90631125 92457300 93401184 93574700 94828000 96673200 97292900 97317688 98621120 101184616 106681500 109482399 110948760 111546000 112289640 113793600 113832693 115571625 116007840 116751480 116968375 120841500 121616125 121647110 123276400 126480770 128897600 134747568 138685950 140101776 140362050 141336000 142242000 145009800 145939350 145976532 146912279 146952000 147931680 148728000 149719520 151776924 154095500 155668640 161122000 168434460 170690400 175127220 177518016 179663424 181262250 182470665 184914600 186802368 187149400 189656000 189721155 193346400 194585800 194635376 202369232 210543075 213363000 218909025 218964798 221897520 223092000 224579280 227665386 231143250 232015680 233502960 233936750 241683000 243232250 243294220 246552800 252961540 269495136 277371900 280203552 280724100 284484000 290019600 291878700 291953064 293824558 295863360 299439040 303553848 304117775 308191000 311337280 316201925 322244000 336868920 341380800 346714875 350254440 350905125 362524500 364848375 364941330 369829200 374298800 379442310 386692800 389171600 389270752 404738464 421086150 426726000 437818050 437929596 440736837 443795040 446184000 449158560 455330772 462286500 467005920 467873500 483366000 486464500 486588440 493105600 505923080 538990272 547411995 554743800 560407104 561448200 568968000 569163465 580039200 583757400 583906128 587649116 607107696 608235550 616382000 632403850 644488000 673737840 693429750 700508880 701810250 725049000 729696750 729882660 734561395 739658400 748597600 758884620 778343200 778541504 809476928 842172300 853452000 875636100 875859192 881473674 887590080 898317120 910661544 912353325 924573000 934011840 935747000 948605775 966732000 972929000 973176880 1011846160 1052715375 1094545125 1094823990 1109487600 1122896400 1138326930 1160078400 1167514800 1167812256 1175298232 1214215392 1216471100 1232764000 1264807700 1322210511 1347475680 1386859500 1401017760 1403620500 1450098000 1459393500 1459765320 1469122790 1479316800 1497195200 1517769240 1520588875 1556686400 1581009625 1684344600 1706904000 1751272200 1751718384 1762947348 1821323088 1824706650 1849146000 1871494000 1897211550 1909859627 1933464000 1945858000 1946353760 2023692320 2105430750 2189090250 2189647980 2203684185 2218975200 2245792800 2276653860 2335029600 2335624512 2350596464 2428430784 2432942200 2465528000 2529615400 2644421022 2694951360 2737059975 2773719000 2802035520 2807241000 2845817325 2900196000 2918787000 2919530640 2938245580 3035538480 3041177750 3162019250 3368689200 3502544400 3503436768 3525894696 3642646176 3649413300 3672806975 3698292000 3742988000 3794423100 3819719254 3891716000 3892707520 4047384640 4210861500 4378180500 4379295960 4407368370 4437950400 4491585600 4553307720 4561766625 4670059200 4701192928 4743028875 4865884400 5059230800 5288842044 5474119950 5547438000 5614482000 5691634650 5729578881 5800392000 5837574000 5839061280 5876491160 6071076960 6082355500 6324038500 6611052555 6737378400 7005088800 7006873536 7051789392 7285292352 7298826600 7345613950 7396584000 7485976000 7588846200 7639438508 7783432000 8421723000 8756361000 8758591920 8814736740 9106615440 9123533250 9402385856 9486057750 9549298135 9731768800 10118461600 10577684088 10948239900 11018420925 11094876000 11228964000 11383269300 11459157762 11675148000 11678122560 11752982320 12142153920 12164711000 12648077000 13222105110 13474756800 13685299875 14010177600 14103578784 14229086625 14597653200 14691227900 15177692400 15278877016 16843446000 17188736643 17512722000 17517183840 17629473480 18213230880 18247066500 18364034875 18972115500 19098596270 19463537600 20236923200 21155368176 21896479800 22036841850 22189752000 22457928000 22766538600 22918315524 23350296000 23505964640 24329422000 25296154000 26444210220 27370599750 28207157568 28458173250 28647894405 29195306400 29382455800 30355384800 30557754032 33055262775 33686892000 34377473286 35025444000 35034367680 35258946960 36426461760 36494133000 36728069750 37944231000 38197192540 42310736352 43792959600 44073683700 45533077200 45836631048 47011929280 47746490675 48658844000 50592308000 52888420440 54741199500 55092104625 56916346500 57295788810 58390612800 58764911600 60710769600 61115508064 66110525550 67373784000 68754946572 70050888000 70517893920 72988266000 73456139500 75888462000 76394385080 84621472704 85943683215 87585919200 88147367400 91066154400 91673262096 95492981350 97317688000 101184616000 105776840880 109482399000 110184209250 113832693000 114591577620 117529823200 122231016128 132221051100 137509893144 141035787840 143239472025 145976532000 146912279000 151776924000 152788770160 165276313875 171887366430 175171838400 176294734800 182132308800 183346524192 190985962700 211553681760 218964798000 220368418500 227665386000 229183155240 235059646400 238732453375 264442102200 275019786288 286478944050 291953064000 293824558000 303553848000 305577540320 330552627750 343774732860 352589469600 366693048384 381971925400 423107363520 429718416075 437929596000 440736837000 455330772000 458366310480 477464906750 528884204400 550039572576 572957888100 587649116000 611155080640 661105255500 687549465720 705178939200 716197360125 763943850800 859436832150 875859192000 881473674000 910661544000 916732620960 954929813500 1057768408800 1100079145152 1145915776200 1175298232000 1322210511000 1375098931440 1432394720250 1527887701600 1718873664300 1762947348000 1833465241920 1909859627000 2115536817600 2148592080375 2291831552400 2644421022000 2750197862880 2864789440500 3055775403200 3437747328600 3525894696000 3819719254000 4297184160750 4583663104800 5288842044000 5500395725760 5729578881000 6875494657200 7639438508000 8594368321500 9167326209600 10577684088000 11459157762000 13750989314400 15278877016000 17188736643000 22918315524000 27501978628800 34377473286000 45836631048000 68754946572000 137509893144000
• Sum of all divisors σ(n): 536725159955712
• Sum of proper divisors (its aliquot sum) s(n): 399215266811712
• 137509893144000 is an abundant number, because the sum of its proper divisors (399215266811712) is greater than itself. Its abundance is 261705373667712

Bases of 137509893144000

• Binary: 11111010001000010000100010101010111110111000000₂
• Hexadecimal: 0x7D1084557DC0
• Base-36: 1CQR67Z740

Squares and roots of 137509893144000

• 137509893144000 squared (137509893144000²) is 18908970712474298204736000000
• 137509893144000 cubed (137509893144000³) is 2600170542135366293979638394729984000000000
• The square root of 137509893144000 is 11726461.2370484557
• The cube root of 137509893144000 is 51615.2436214135

Scales and comparisons

• 137,509,893,144,000 seconds is equal to 4,372,389 years, 13 weeks, 2 days, 4 hours.
• To count from 1 to 137,509,893,144,000 would take you about ten million, nine hundred thirty thousand, nine hundred seventy-three 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 137509893144000 cubic inches would be around 4301.3 feet tall.

Recreational maths with 137509893144000

• 137509893144000 backwards is 000441398905731
• The number of decimal digits it has is: 15
• The sum of 137509893144000's digits is 54
• More coming soon!