137980796571688000

Names of 137980796571688000

• Cardinal: 137980796571688000 can be written as One hundred thirty-seven quadrillion, nine hundred eighty trillion, seven hundred ninety-six billion, five hundred seventy-one million, six hundred eighty-eight thousand.

Scientific notation

• Scientific notation: 1.37980796571688 × 10¹⁷

Factors of 137980796571688000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 174

Divisors of 137980796571688000

• Number of divisors d(n): 1512
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 40 49 50 56 58 64 70 80 98 100 112 116 125 131 140 145 160 175 196 200 203 224 232 245 250 262 280 290 320 350 392 400 406 448 464 490 500 524 560 580 655 700 725 784 800 812 841 875 917 928 980 1000 1015 1048 1120 1160 1225 1310 1400 1421 1450 1568 1600 1624 1682 1750 1834 1856 1960 2000 2030 2096 2240 2320 2450 2620 2800 2842 2900 3136 3248 3275 3364 3500 3625 3668 3799 3920 4000 4060 4192 4205 4585 4640 4900 5075 5240 5600 5684 5800 5887 6125 6419 6496 6550 6728 7000 7105 7250 7336 7598 7840 8000 8120 8384 8410 9170 9280 9800 10150 10480 11200 11368 11600 11774 12250 12838 12992 13100 13456 14000 14210 14500 14672 15196 15680 16240 16375 16820 17161 18340 18995 19600 20300 20960 21025 22736 22925 23200 23548 24389 24500 25375 25676 26200 26593 26912 28000 28420 29000 29344 29435 30392 32095 32480 32750 33640 34322 35525 36680 37990 39200 40600 41209 41920 42050 45472 45850 46400 47096 48778 49000 50750 51352 52400 53186 53824 56000 56840 58000 58688 58870 60784 64190 64960 65500 67280 68644 71050 73360 75980 78400 81200 82418 84100 85805 90944 91700 94192 94975 97556 98000 101500 102704 104800 105125 106372 110171 113680 114625 116000 117740 120127 121568 121945 128380 131000 132965 134560 137288 142100 146720 147175 151960 160475 162400 164836 168200 170723 171610 177625 183400 186151 188384 189950 195112 196000 203000 205408 206045 209600 210250 212744 220342 227360 229250 232000 235480 240254 243136 243890 256760 262000 265930 269120 274576 284200 293440 294350 303920 320950 324800 329672 336400 341446 343220 355250 366800 372302 376768 379900 390224 392000 406000 410816 412090 420500 425488 429025 440684 454720 458500 470960 474875 480508 487780 497669 513520 524000 531860 549152 550855 568400 588700 600635 607840 609725 641900 659344 664825 672800 682892 686440 707281 710500 733600 735875 744604 759800 771197 780448 802375 812000 824180 840889 841000 850976 853615 858050 881368 917000 930755 941920 949750 961016 975560 995338 1027040 1030225 1048000 1063720 1098304 1101710 1136800 1177400 1195061 1201270 1215680 1219450 1283800 1318688 1329650 1345600 1365784 1372880 1414562 1421000 1467200 1471750 1489208 1519600 1542394 1560896 1604750 1624000 1648360 1681778 1682000 1701952 1707230 1716100 1762736 1834000 1861510 1883840 1899500 1922032 1951120 1990676 2054080 2060450 2127440 2145125 2203420 2273600 2354800 2390122 2402540 2438900 2488345 2567600 2637376 2659300 2731568 2745760 2754275 2829124 2842000 2943500 2978416 3003175 3039200 3048625 3084788 3194959 3209500 3296720 3324125 3363556 3364000 3414460 3432200 3483683 3525472 3536405 3668000 3723020 3799000 3844064 3855985 3902240 3981352 4120900 4204445 4254880 4268075 4290250 4406840 4653775 4709600 4780244 4805080 4877800 4950967 4976690 5135200 5151125 5318600 5398379 5463136 5491520 5508550 5658248 5684000 5887000 5956832 5975305 6006350 6078400 6097250 6169576 6389918 6419000 6593440 6648250 6727112 6728000 6828920 6864400 6967366 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418539629000 424817723435 429913683040 454003673900 468764384480 470218090825 485505969640 502523150500 512711045525 518861341600 526644261724 537392103800 565750119200 567504592375 574312172000 585955480600 594744812809 601879156256 606882462050 626211964000 648576677000 656270138272 658305327155 669663406400 671740129750 679708357496 703983655978 707187649000 726405878240 732444350750 741230488000 752348945320 776809551424 804037040800 808214456000 820337672840 837079258000 849635446870 859827366080 908007347800 937528768960 940436181650 971011939280 1005046301000 1025422091050 1037722683200 1053288523448 1074784207600 1131500238400 1135009184750 1148624344000 1171910961200 1189489625618 1203758312512 1213764924100 1252423928000 1297153354000 1312540276544 1316610654310 1343480259500 1359416714992 1407967311956 1414375298000 1452811756480 1464888701500 1504697890640 1517206155125 1608074081600 1640675345680 1674158516000 1699270893740 1759959139945 1816014695600 1880872363300 1942023878560 2010092602000 2050844182100 2106577046896 2124088617175 2149568415200 2270018369500 2343821922400 2351090454125 2378979251236 2427529848200 2463942795923 2563555227625 2594306708000 2633221308620 2686960519000 2718833429984 2815934623912 2828750596000 2929777403000 2973724064045 3009395781280 3034412310250 3281350691360 3291526635775 3348317032000 3398541787480 3519918279890 3632029391200 3761744726600 3884047757120 4020185204000 4101688364200 4213154093792 4248177234350 4299136830400 4540036739000 4687643844800 4702180908250 4757958502472 4855059696400 4927885591846 5127110455250 5188613416000 5266442617240 5373921038000 5437666859968 5631869247824 5657501192000 5859554806000 5947448128090 6018791562560 6068824620500 6562701382720 6583053271550 6797083574960 7039836559780 7264058782400 7523489453200 8040370408000 8203376728400 8426308187584 8496354468700 8799795699725 9080073478000 9404361816500 9515917004944 9710119392800 9855771183692 10254220910500 10532885234480 10620443085875 10747842076000 11263738495648 11719109612000 11894896256180 12137649241000 12319713979615 13166106543100 13594167149920 14079673119560 14868620320225 15046978906400 16406753456800 16457633178875 16992708937400 17247599571461 17599591399450 18160146956000 18808723633000 19031834009888 19420238785600 19711542367384 20508441821000 21065770468960 21240886171750 21495684152000 22527476991296 23438219224000 23789792512360 24275298482000 24639427959230 26332213086200 27188334299840 28159346239120 29737240640450 30093957812800 32813506913600 32915266357750 33985417874800 34495199142922 35199182798900 36320293912000 37617447266000 38063668019776 39423084734768 41016883642000 42131540937920 42481772343500 43998978498625 47579585024720 48550596964000 49278855918460 52664426172400 56318692478240 59474481280900 61598569898075 65830532715500 67970835749600 68990398285844 70398365597800 74343101601125 75234894532000 78846169469536 82033767284000 84963544687000 86237997857305 87997956997250 95159170049440 97101193928000 98557711836920 105328852344800 112637384956480 118948962561800 123197139796150 131661065431000 135941671499200 137980796571688 140796731195600 148686203202250 150469789064000 157692338939072 164067534568000 169927089374000 172475995714610 175995913994500 190318340098880 197115423673840 210657704689600 237897925123600 246394279592300 263322130862000 275961593143376 281593462391200 297372406404500 307992849490375 339854178748000 344951991429220 351991827989000 394230847347680 431189989286525 475795850247200 492788559184600 526644261724000 551923186286752 563186924782400 594744812809000 615985698980750 679708357496000 689903982858440 703983655978000 788461694695360 862379978573050 951591700494400 985577118369200 1053288523448000 1103846372573504 1189489625618000 1231971397961500 1379807965716880 1407967311956000 1724759957146100 1971154236738400 2155949946432625 2378979251236000 2463942795923000 2759615931433760 2815934623912000 3449519914292200 3942308473476800 4311899892865250 4757958502472000 4927885591846000 5519231862867520 6899039828584400 8623799785730500 9855771183692000 13798079657168800 17247599571461000 19711542367384000 27596159314337600 34495199142922000 68990398285844000 137980796571688000
• Sum of all divisors σ(n): 414861823356182280
• Sum of proper divisors (its aliquot sum) s(n): 276881026784494280
• 137980796571688000 is an abundant number, because the sum of its proper divisors (276881026784494280) is greater than itself. Its abundance is 138900230212806280

Bases of 137980796571688000

• Binary: 111101010001101001100110110101101011110110001110001000000₂
• Hexadecimal: 0x1EA34CDAD7B1C40
• Base-36: 11QM3YVC6S74

Squares and roots of 137980796571688000

• 137980796571688000 squared (137980796571688000²) is 19038700222557546934123169344000000
• 137980796571688000 cubed (137980796571688000³) is 2626975022398063934611153359802924259932672000000000
• The square root of 137980796571688000 is 371457664.5752352759
• The cube root of 137980796571688000 is 516740.9539355379

Scales and comparisons

• 137,980,796,571,688,000 seconds is equal to 4,387,362,528 years, 18 weeks, 2 days, 11 hours, 6 minutes, 40 seconds.
• To count from 1 to 137,980,796,571,688,000 would take you about thirteen billion, one hundred sixty-two million, eighty-seven thousand, five hundred eighty-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 137980796571688000 cubic inches would be around 43061.7 feet tall.

Recreational maths with 137980796571688000

• 137980796571688000 backwards is 000886175697089731
• The number of decimal digits it has is: 18
• The sum of 137980796571688000's digits is 85
• More coming soon!