820982166479006488

Names of 820982166479006488

• Cardinal: 820982166479006488 can be written as Eight hundred twenty quadrillion, nine hundred eighty-two trillion, one hundred sixty-six billion, four hundred seventy-nine million, six thousand, four hundred eighty-eight.

Scientific notation

• Scientific notation: 8.20982166479006488 × 10¹⁷

Factors of 820982166479006488

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 434

Divisors of 820982166479006488

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 8 11 22 41 44 82 88 97 121 164 194 242 283 328 388 451 484 566 776 902 968 1067 1132 1804 2134 2264 3113 3608 3977 4268 4961 6226 7954 8536 9409 9922 11603 11737 12452 15908 18818 19844 23206 23474 24904 27451 31816 34243 37636 39688 43747 46412 46948 54902 68486 75272 80089 87494 92824 93896 103499 109804 127633 136972 160178 174988 206998 219608 255266 273944 301961 320356 349976 385769 413996 481217 510532 603922 640712 771538 827992 880979 912673 962434 1021064 1125491 1138489 1207844 1403963 1543076 1761958 1825346 1924868 2250982 2276978 2415688 2662747 2807926 3086152 3283649 3321571 3523916 3650692 3849736 4243459 4501964 4553956 5325494 5615852 6567298 6643142 7047832 7301384 7768633 8486918 9003928 9107912 9690769 10039403 10650988 11231704 12380401 13134596 13286284 15537266 16973836 19381538 20078806 21301976 22665187 24760802 26269192 26572568 29290217 31074532 33947672 36120139 37419593 38763076 40157612 45330374 46678049 49521604 58580434 62149064 72240278 74839186 77526152 80315224 85454963 90660748 93356098 99043208 109172627 110433433 117160868 136184411 144480556 149678372 170909926 181321496 186712196 218345254 220866866 234321736 249317057 258286459 272368822 288961112 299356744 318513953 322192387 341819852 373424392 397321529 411615523 436690508 441733732 498634114 516572918 544737644 637027906 644384774 683639704 753557401 794643058 823231046 873381016 883467464 929272667 940004593 997268228 1033145836 1089475288 1200898897 1274055812 1288769548 1507114802 1589286116 1646462092 1858545334 1880009186 1994536456 2066291672 2198523139 2401797794 2548111624 2577539096 2742487627 2841151049 3014229604 3178572232 3292924184 3503653483 3717090668 3760018372 4397046278 4527770753 4803595588 5484975254 5682302098 6028459208 7007306966 7434181336 7520036744 8289131411 8794092556 9055541506 9607191176 10221999337 10589744819 10969950508 11364604196 13209887867 14014613932 16578262822 17588185112 18111083012 20443998674 21179489638 21939901016 22729208392 24183754529 26419775734 28029227864 30895853441 31252661539 33156525644 36222166024 38540188313 40887997348 42358979276 48367509058 52839551468 61791706882 62505323078 66313051288 73095067897 77080376626 81775994696 84717958552 90139448699 91180445521 96735018116 105679102936 112441992707 116487193009 123583413764 125010646156 146190135794 154160753252 180278897398 182360891042 193470036232 213256744483 224883985414 232974386018 247166827528 250021292312 266021299819 292380271588 308321506504 339854387851 360557794796 364721782084 426513488966 449767970828 465948772036 532042599638 584760543176 679708775702 721115589592 729443564168 804045746867 853026977932 899535941656 931897544072 991533935689 1064085199276 1281359123099 1359417551404 1608091493734 1706053955864 1983067871378 2128170398552 2345824189313 2562718246198 2718835102808 2996897783777 3216182987468 3738398266361 3966135742756 4691648378626 5125436492396 5993795567554 6432365974936 7476796532722 7932271485512 8743526523803 8844503215537 9383296757252 10250872984792 10906873292579 11987591135108 14953593065444 17487053047606 17689006431074 18766593514504 20685904214851 21813746585158 23975182270216 25804066082443 29907186130888 32965875621547 34974106095212 35378012862148 41371808429702 43627493170316 51608132164886 65931751243094 69948212190424 70756025724296 82743616859404 87254986340632 96178791761833 103216264329772 131863502486188 165487233718808 192357583523666 206432528659544 227544946363361 263727004972376 362624631837017 384715167047332 455089892726722 725249263674034 769430334094664 848122072808891 910179785453444 1057966709380163 1450498527348068 1696244145617782 1820359570906888 2115933418760326 2502994409996971 2900997054696136 3392488291235564 4231866837520652 5005988819993942 6784976582471128 8463733675041304 9329342800897801 10011977639987884 18658685601795602 20023955279975768 37317371203591204 74634742407182408 102622770809875811 205245541619751622 410491083239503244 820982166479006488
• Sum of all divisors σ(n): 1757537188637832000
• Sum of proper divisors (its aliquot sum) s(n): 936555022158825512
• 820982166479006488 is an abundant number, because the sum of its proper divisors (936555022158825512) is greater than itself. Its abundance is 115572855679819024

Bases of 820982166479006488

• Binary: 101101100100101101101110111000111111111010010110101100011000₂
• Hexadecimal: 0xB64B6EE3FE96B18
• Base-36: 68JPW0LY7UAG

Squares and roots of 820982166479006488

• 820982166479006488 squared (820982166479006488²) is 674011717676563124322033231546094144
• 820982166479006488 cubed (820982166479006488³) is 553351600210341266996728146050496418443221270034806272
• The square root of 820982166479006488 is 906080662.2365397817
• The cube root of 820982166479006488 is 936363.7116523525

Scales and comparisons

• 820,982,166,479,006,488 seconds is equal to 26,104,693,429 years, 23 weeks, 4 days, 20 hours, 1 minute, 28 seconds.
• To count from 1 to 820,982,166,479,006,488 would take you about seventy-eight billion, three hundred fourteen million, eighty thousand, two hundred eighty-eight 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 820982166479006488 cubic inches would be around 78030.3 feet tall.

Recreational maths with 820982166479006488

• 820982166479006488 backwards is 884600974661289028
• 820982166479006488 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 820982166479006488's digits is 88
• More coming soon!