137965638245006250

Names of 137965638245006250

• Cardinal: 137965638245006250 can be written as One hundred thirty-seven quadrillion, nine hundred sixty-five trillion, six hundred thirty-eight billion, two hundred forty-five million, six thousand, two hundred fifty.

Scientific notation

• Scientific notation: 1.3796563824500625 × 10¹⁷

Factors of 137965638245006250

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 24876

Divisors of 137965638245006250

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 49 50 54 63 70 75 81 90 98 105 125 126 135 147 150 162 175 189 210 225 243 245 250 270 294 315 350 375 378 405 441 450 486 490 525 567 625 630 675 729 735 750 810 875 882 945 1050 1125 1134 1215 1225 1250 1323 1350 1458 1470 1575 1701 1750 1875 1890 2025 2205 2250 2430 2450 2625 2646 2835 3125 3150 3375 3402 3645 3675 3750 3969 4050 4375 4410 4725 5103 5250 5625 5670 6075 6125 6250 6615 6750 7290 7350 7875 7938 8505 8750 9375 9450 10125 10206 11025 11250 11907 12150 12250 13125 13230 14175 15750 16875 17010 18225 18375 18750 19845 20250 21875 22050 23625 23814 24859 25515 26250 28125 28350 30375 30625 33075 33750 35721 36450 36750 39375 39690 42525 43750 47250 49718 50625 51030 55125 56250 59535 60750 61250 65625 66150 70875 71442 74577 78750 84375 85050 91125 91875 99225 101250 110250 118125 119070 124295 127575 131250 141750 149154 151875 153125 165375 168750 174013 178605 182250 183750 196875 198450 212625 223731 236250 248590 253125 255150 275625 297675 303750 306250 330750 348026 354375 357210 372885 393750 425250 447462 455625 459375 496125 506250 522039 551250 590625 595350 621475 637875 671193 708750 745770 759375 826875 870065 893025 911250 918750 992250 1044078 1063125 1118655 1181250 1218091 1242950 1275750 1342386 1378125 1488375 1518750 1566117 1653750 1740130 1771875 1786050 1864425 2013579 2126250 2237310 2278125 2436182 2480625 2610195 2756250 2976750 3107375 3132234 3189375 3355965 3543750 3654273 3728850 4027158 4134375 4350325 4465125 4556250 4698351 4961250 5220390 5315625 5593275 6040737 6090455 6214750 6378750 6711930 7308546 7441875 7830585 8268750 8700650 8930250 9322125 9396702 10067895 10631250 10962819 11186550 12081474 12180910 12403125 13050975 14095053 14883750 15536875 15661170 15946875 16779825 18122211 18271365 18644250 20135790 21751625 21925638 22325625 23491755 24806250 26101950 27966375 28190106 30203685 30452275 31073750 31893750 32888457 33559650 36244422 36542730 37209375 39152925 42285159 43503250 44651250 46610625 46983510 50339475 54814095 55932750 60407370 60904550 65254875 65776914 70475265 74418750 77684375 78305850 83899125 84570318 90611055 91356825 93221250 98665371 100678950 108758125 109628190 111628125 117458775 126855477 130509750 139831875 140950530 151018425 152261375 155368750 164442285 167798250 181222110 182713650 195764625 197330742 211425795 217516250 223256250 233053125 234917550 251697375 253710954 274070475 279663750 295996113 302036850 304522750 326274375 328884570 352376325 391529250 419495625 422851590 453055275 456784125 466106250 493326855 503394750 543790625 548140950 587293875 591992226 617969881 634277385 652548750 699159375 704752650 755092125 761306875 822211425 838991250 887988339 906110550 913568250 978823125 986653710 1057128975 1087581250 1174587750 1235939762 1258486875 1268554770 1370352375 1398318750 1479980565 1510184250 1522613750 1631371875 1644422850 1761881625 1775976678 1853909643 1957646250 2097478125 2114257950 2265276375 2283920625 2466634275 2516973750 2740704750 2936469375 2959961130 3089849405 3171386925 3262743750 3523763250 3707819286 3775460625 3806534375 4111057125 4194956250 4325789167 4439941695 4530552750 4567841250 4894115625 4933268550 5285644875 5561728929 5872938750 6179698810 6292434375 6342773850 6851761875 7399902825 7550921250 7613068750 8222114250 8651578334 8809408125 8879883390 9269548215 9788231250 10571289750 11123457858 11326381875 11419603125 12333171375 12584868750 12977367501 13703523750 14682346875 14799805650 15449247025 15856934625 16685186787 17618816250 18539096430 18877303125 20555285625 21628945835 22199708475 22652763750 22839206250 24666342750 25954735002 26428224375 27808644645 29364693750 30280524169 30898494050 31713869250 33370373574 34258809375 36999514125 37754606250 38932102503 41110571250 43257891670 44047040625 44399416950 46347741075 50055560361 52856448750 55617289290 56631909375 60561048338 61665856875 64886837505 68517618750 73999028250 77246235125 77864205006 79284673125 83425933935 88094081250 90841572507 92695482150 100111120722 102776428125 108144729175 110998542375 113263818750 116796307509 123331713750 129773675010 132141121875 139043223225 150166681083 151402620845 154492470250 158569346250 166851867870 181683145014 184997570625 194660512515 205552856250 216289458350 221997084750 231738705375 233592615018 250277801805 264282243750 272524717521 278086446450 300333362166 302805241690 308329284375 324434187525 350388922527 369995141250 386231175625 389321025030 396423365625 417129669675 450500043249 454207862535 463477410750 500555603610 540723645875 545049435042 554992711875 583981537545 616658568750 648868375050 695216116125 700777845054 750833405415 757013104225 772462351250 792846731250 817574152563 834259339350 901000086498 908415725070 924987853125 973302562575 1051166767581 1081447291750 1109985423750 1158693526875 1167963075090 1251389009025 1362623587605 1390432232250 1501666810830 1514026208450 1622170937625 1635148305126 1751944612635 1849975706250 1931155878125 1946605125150 2085648348375 2102333535162 2252500216245 2271039312675 2317387053750 2452722457689 2502778018050 2703618229375 2725247175210 2774963559375 2919907687725 3153500302743 3244341875250 3476080580625 3503889225270 3754167027075 3785065521125 3862311756250 4087870762815 4171296696750 4505000432490 4542078625350 4866512812875 4905444915378 5255833837905 5407236458750 5549927118750 5793467634375 5839815375450 6256945045125 6307000605486 6813117938025 6952161161250 7358167373067 7508334054150 7570131042250 8110854688125 8175741525630 8759723063175 9733025625750 10428241741875 10511667675810 11262501081225 11355196563375 11586935268750 12263612288445 12513890090250 13518091146875 13626235876050 14599538438625 14716334746134 15767501513715 16221709376250 17380402903125 17519446126350 18770835135375 18925327605625 20439353814075 20856483483750 22074502119201 22525002162450 22710393126750 24332564064375 24527224576890 26279169189525 27036182293750 29199076877250 31284725225625 31535003027430 34065589690125 34760805806250 36790836865335 37541670270750 37850655211250 40554273440625 40878707628150 43798615315875 44149004238402 48665128128750 52141208709375 52558338379050 56312505406125 56775982816875 61318061442225 62569450451250 68131179380250 72997692193125 73581673730670 78837507568575 81108546881250 87597230631750 93854175676875 94626638028125 102196769070375 104282417418750 110372510596005 112625010812250 113551965633750 121662820321875 122636122884450 131395845947625 145995384386250 156423626128125 157675015137150 170327948450625 183954184326675 187708351353750 189253276056250 204393538140750 218993076579375 220745021192010 243325640643750 262791691895250 281562527030625 283879914084375 306590307211125 312847252256250 340655896901250 364988460965625 367908368653350 394187537842875 437986153158750 469270878384375 510983845351875 551862552980025 563125054061250 567759828168750 613180614422250 656979229738125 729976921931250 788375075685750 851639742253125 919770921633375 938541756768750 1021967690703750 1094965382896875 1103725105960050 1313958459476250 1407812635153125 1532951536055625 1703279484506250 1839541843266750 1970937689214375 2189930765793750 2554919226759375 2759312764900125 2815625270306250 3065903072111250 3284896148690625 3941875378428750 4598854608166875 5109838453518750 5518625529800250 6569792297381250 7664757680278125 9197709216333750 9854688446071875 13796563824500625 15329515360556250 19709376892143750 22994273040834375 27593127649001250 45988546081668750 68982819122503125 137965638245006250
• Sum of all divisors σ(n): 451162807627242438
• Sum of proper divisors (its aliquot sum) s(n): 313197169382236188
• 137965638245006250 is an abundant number, because the sum of its proper divisors (313197169382236188) is greater than itself. Its abundance is 175231531137229938

Bases of 137965638245006250

• Binary: 111101010001001110000010001011010110011011011101110101010₂
• Hexadecimal: 0x1EA27045ACDBBAA
• Base-36: 11QGQJ8BUWMI

Squares and roots of 137965638245006250

• 137965638245006250 squared (137965638245006250²) is 19034517336351931250503062539062500
• 137965638245006250 cubed (137965638245006250³) is 2626109332995430500647368200099223700586181640625000
• The square root of 137965638245006250 is 371437260.1732441301
• The cube root of 137965638245006250 is 516722.0304929551

Scales and comparisons

• 137,965,638,245,006,250 seconds is equal to 4,386,880,540 years, 23 weeks, 3 days, 14 hours, 37 minutes, 30 seconds.
• To count from 1 to 137,965,638,245,006,250 would take you about thirteen billion, one hundred sixty million, six hundred forty-one thousand, six hundred twenty-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 137965638245006250 cubic inches would be around 43060.2 feet tall.

Recreational maths with 137965638245006250

• 137965638245006250 backwards is 052600542836569731
• The number of decimal digits it has is: 18
• The sum of 137965638245006250's digits is 72
• More coming soon!