820148869738125

Names of 820148869738125

• Cardinal: 820148869738125 can be written as Eight hundred twenty trillion, one hundred forty-eight billion, eight hundred sixty-nine million, seven hundred thirty-eight thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 8.20148869738125 × 10¹⁴

Factors of 820148869738125

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 452

Divisors of 820148869738125

• Number of divisors d(n): 360
• Complete list of divisors:
  1 3 5 9 15 25 27 45 47 75 81 125 135 141 225 235 243 375 397 405 423 625 675 705 729 1125 1175 1191 1215 1269 1875 1985 2025 2115 2187 3375 3525 3573 3645 3807 5625 5875 5955 6075 6345 6561 9925 10125 10575 10719 10935 11421 16875 17625 17865 18225 18659 19035 19683 29375 29775 30375 31725 32157 32805 34263 49625 50625 52875 53595 54675 55977 57105 59049 88125 89325 91125 93295 95175 96471 98415 102789 148875 151875 157609 158625 160785 164025 167931 171315 177147 248125 264375 267975 273375 279885 285525 289413 295245 308367 446625 455625 466475 472827 475875 482355 492075 503793 513945 744375 788045 793125 803925 820125 839655 856575 868239 885735 925101 1339875 1366875 1399425 1418481 1427625 1447065 1476225 1511379 1541835 2233125 2332375 2364135 2379375 2411775 2460375 2518965 2569725 2604717 2775303 3940225 4019625 4100625 4198275 4255443 4282875 4341195 4428675 4534137 4625505 6699375 6997125 7092405 7138125 7235325 7381125 7407623 7556895 7709175 7814151 8325909 11661875 11820675 12058875 12301875 12594825 12766329 12848625 13023585 13602411 13876515 19701125 20098125 20991375 21277215 21414375 21705975 22143375 22222869 22670685 23127525 23442453 34985625 35462025 36176625 36905625 37038115 37784475 38298987 38545875 39070755 40807233 41629545 59103375 60294375 62974125 63831645 64243125 65117925 66668607 68012055 69382575 70327359 98505625 104956875 106386075 108529875 110716875 111114345 113353425 114896961 115637625 117212265 122421699 177310125 180883125 185190575 188922375 191494935 192729375 195353775 200005821 204036165 208147725 295516875 314870625 319158225 325589625 333343035 340060275 344690883 346912875 351636795 367265097 531930375 542649375 555571725 566767125 574484805 578188125 586061325 600017463 612108495 886550625 925952875 944611875 957474675 976768875 1000029105 1020180825 1034072649 1040738625 1101795291 1595791125 1627948125 1666715175 1700301375 1723454415 1734564375 1758183975 1800052389 1836325485 2659651875 2777858625 2833835625 2872424025 2930306625 3000087315 3060542475 3102217947 3305385873 4629764375 4787373375 4883844375 5000145525 5100904125 5170363245 5203693125 5400157167 5508976455 7978955625 8333575875 8501506875 8617272075 8790919875 9000261945 9181627425 9306653841 13889293125 14362120125 14651533125 15000436575 15302712375 15511089735 16200471501 16526929365 23936866875 25000727625 25504520625 25851816225 27000785835 27544882275 27919961523 41667879375 43086360375 43954599375 45001309725 45908137125 46533269205 48601414503 71810600625 75002182875 76513561875 77555448675 81002357505 82634646825 125003638125 129259081125 135003929175 137724411375 139599807615 145804243509 215431801875 225006548625 229540685625 232666346025 243007072515 375010914375 387777243375 405011787525 413173234125 437412730527 646295405625 675019645875 688622056875 697999038075 729021217545 1125032743125 1163331730125 1215035362575 1312238191581 1938886216875 2025058937625 2065866170625 2187063652635 3375098229375 3489995190375 3645106087725 5816658650625 6075176812875 6561190957905 10125294688125 10935318263175 17449975951875 18225530438625 30375884064375 32805954789525 54676591315875 91127652193125 164029773947625 273382956579375 820148869738125
• Sum of all divisors σ(n): 1573956924059520
• Sum of proper divisors (its aliquot sum) s(n): 753808054321395
• 820148869738125 is a deficient number, because the sum of its proper divisors (753808054321395) is less than itself. Its deficiency is 66340815416730

Bases of 820148869738125

• Binary: 10111010011110101111001010000010110010111010001101₂
• Hexadecimal: 0x2E9EBCA0B2E8D
• Base-36: 82PV6TFBT9

Squares and roots of 820148869738125

• 820148869738125 squared (820148869738125²) is 672644168532723929406078515625
• 820148869738125 cubed (820148869738125³) is 551668354558054397089847986707904282470703125
• The square root of 820148869738125 is 28638241.3869658729
• The cube root of 820148869738125 is 93604.6801411205

Scales and comparisons

• 820,148,869,738,125 seconds is equal to 26,078,197 years, 8 weeks, 6 days, 2 hours, 48 minutes, 45 seconds.
• To count from 1 to 820,148,869,738,125 would take you about sixty-five million, one hundred ninety-five thousand, four hundred ninety-two 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 820148869738125 cubic inches would be around 7800.4 feet tall.

Recreational maths with 820148869738125

• 820148869738125 backwards is 521837968841028
• The number of decimal digits it has is: 15
• The sum of 820148869738125's digits is 72
• More coming soon!