820382204981936128

Names of 820382204981936128

• Cardinal: 820382204981936128 can be written as Eight hundred twenty quadrillion, three hundred eighty-two trillion, two hundred four billion, nine hundred eighty-one million, nine hundred thirty-six thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 8.20382204981936128 × 10¹⁷

Factors of 820382204981936128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 33
• Sum of prime factors: 101

Divisors of 820382204981936128

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 4 7 8 14 16 28 31 32 56 61 62 64 112 122 124 128 217 224 244 248 256 427 434 448 488 496 512 854 868 896 961 976 992 1024 1708 1736 1792 1891 1922 1952 1984 2048 3416 3472 3584 3782 3844 3904 3968 4096 6727 6832 6944 7168 7564 7688 7808 7936 8192 13237 13454 13664 13888 14336 15128 15376 15616 15872 16384 26474 26908 27328 27776 28672 29791 30256 30752 31232 31744 32768 52948 53816 54656 55552 57344 58621 59582 60512 61504 62464 63488 65536 105896 107632 109312 111104 114688 117242 119164 121024 123008 124928 126976 131072 208537 211792 215264 218624 222208 229376 234484 238328 242048 246016 249856 253952 262144 410347 417074 423584 430528 437248 444416 458752 468968 476656 484096 492032 499712 507904 524288 820694 834148 847168 861056 874496 888832 917504 923521 937936 953312 968192 984064 999424 1015808 1048576 1641388 1668296 1694336 1722112 1748992 1777664 1817251 1835008 1847042 1875872 1906624 1936384 1968128 1998848 2031616 2097152 3282776 3336592 3388672 3444224 3497984 3555328 3634502 3670016 3694084 3751744 3813248 3872768 3936256 3997696 4063232 4194304 6464647 6565552 6673184 6777344 6888448 6995968 7110656 7269004 7340032 7388168 7503488 7626496 7745536 7872512 7995392 8126464 8388608 12720757 12929294 13131104 13346368 13554688 13776896 13991936 14221312 14538008 14680064 14776336 15006976 15252992 15491072 15745024 15990784 16252928 16777216 25441514 25858588 26262208 26692736 27109376 27553792 27983872 28442624 28629151 29076016 29360128 29552672 30013952 30505984 30982144 31490048 31981568 32505856 33554432 50883028 51717176 52524416 53385472 54218752 55107584 55967744 56334781 56885248 57258302 58152032 58720256 59105344 60027904 61011968 61964288 62980096 63963136 65011712 67108864 101766056 103434352 105048832 106770944 108437504 110215168 111935488 112669562 113770496 114516604 116304064 117440512 118210688 120055808 122023936 123928576 125960192 127926272 130023424 200404057 203532112 206868704 210097664 213541888 216875008 220430336 223870976 225339124 227540992 229033208 232608128 234881024 236421376 240111616 244047872 247857152 251920384 255852544 260046848 394343467 400808114 407064224 413737408 420195328 427083776 433750016 440860672 447741952 450678248 455081984 458066416 465216256 469762048 472842752 480223232 488095744 495714304 503840768 511705088 520093696 788686934 801616228 814128448 827474816 840390656 854167552 867500032 881721344 895483904 901356496 910163968 916132832 930432512 945685504 960446464 976191488 991428608 1007681536 1023410176 1040187392 1577373868 1603232456 1628256896 1654949632 1680781312 1708335104 1735000064 1746378211 1763442688 1790967808 1802712992 1820327936 1832265664 1860865024 1891371008 1920892928 1952382976 1982857216 2015363072 2046820352 2080374784 3154747736 3206464912 3256513792 3309899264 3361562624 3416670208 3470000128 3492756422 3526885376 3581935616 3605425984 3640655872 3664531328 3721730048 3782742016 3841785856 3904765952 3965714432 4030726144 4093640704 6309495472 6412929824 6513027584 6619798528 6723125248 6833340416 6940000256 6985512844 7053770752 7163871232 7210851968 7281311744 7329062656 7443460096 7565484032 7683571712 7809531904 7931428864 8061452288 12224647477 12618990944 12825859648 13026055168 13239597056 13446250496 13666680832 13880000512 13971025688 14107541504 14327742464 14421703936 14562623488 14658125312 14886920192 15130968064 15367143424 15619063808 15862857728 16122904576 24449294954 25237981888 25651719296 26052110336 26479194112 26892500992 27333361664 27760001024 27942051376 28215083008 28655484928 28843407872 29316250624 29773840384 30261936128 30734286848 31238127616 31725715456 32245809152 48898589908 50475963776 51303438592 52104220672 52958388224 53785001984 54666723328 55520002048 55884102752 56430166016 57686815744 58632501248 59547680768 60523872256 61468573696 62476255232 63451430912 64491618304 97797179816 100951927552 102606877184 104208441344 105916776448 107570003968 109333446656 111040004096 111768205504 112860332032 115373631488 117265002496 119095361536 121047744512 122937147392 124952510464 126902861824 195594359632 201903855104 205213754368 208416882688 211833552896 215140007936 218666893312 222080008192 223536411008 225720664064 230747262976 234530004992 238190723072 242095489024 245874294784 249905020928 391188719264 403807710208 410427508736 416833765376 423667105792 430280015872 437333786624 444160016384 447072822016 451441328128 461494525952 469060009984 476381446144 484190978048 491748589568 499810041856 782377438528 807615420416 820855017472 833667530752 847334211584 860560031744 874667573248 888320032768 894145644032 922989051904 938120019968 952762892288 968381956096 983497179136 999620083712 1564754877056 1615230840832 1641710034944 1667335061504 1694668423168 1721120063488 1749335146496 1788291288064 1845978103808 1876240039936 1905525784576 1936763912192 1966994358272 1999240167424 3129509754112 3230461681664 3283420069888 3334670123008 3389336846336 3442240126976 3498670292992 3576582576128 3691956207616 3752480079872 3811051569152 3873527824384 3933988716544 6259019508224 6460923363328 6566840139776 6669340246016 6778673692672 6884480253952 6997340585984 7153165152256 7383912415232 7504960159744 7622103138304 7747055648768 12518039016448 12921846726656 13133680279552 13338680492032 13557347385344 13768960507904 13994681171968 14306330304512 14767824830464 15009920319488 15244206276608 15494111297536 25036078032896 25843693453312 26267360559104 26677360984064 27114694770688 27537921015808 28612660609024 29535649660928 30019840638976 30488412553216 30988222595072 50072156065792 51687386906624 52534721118208 53354721968128 54229389541376 57225321218048 59071299321856 60039681277952 60976825106432 61976445190144 100144312131584 103374773813248 105069442236416 106709443936256 108458779082752 114450642436096 118142598643712 120079362555904 121953650212864 200288624263168 206749547626496 210138884472832 213418887872512 216917558165504 228901284872192 236285197287424 240158725111808 400577248526336 413499095252992 420277768945664 426837775745024 433835116331008 457802569744384 472570394574848 480317450223616 801154497052672 826998190505984 840555537891328 853675551490048 915605139488768 945140789149696 960634900447232 1602308994105344 1653996381011968 1681111075782656 1831210278977536 1890281578299392 1921269800894464 3204617988210688 3307992762023936 3362222151565312 3662420557955072 3780563156598784 6409235976421376 6615985524047872 6724444303130624 7324841115910144 12818471952842752 13231971048095744 13448888606261248 14649682231820288 25636943905685504 26463942096191488 29299364463640576 51273887811371008 58598728927281152 102547775622742016 117197457854562304 205095551245484032 410191102490968064 820382204981936128
• Sum of all divisors σ(n): 1969429613677757952
• Sum of proper divisors (its aliquot sum) s(n): 1149047408695821824
• 820382204981936128 is an abundant number, because the sum of its proper divisors (1149047408695821824) is greater than itself. Its abundance is 328665203713885696

Bases of 820382204981936128

• Binary: 101101100010100101010100010011010100000000000000000000000000₂
• Hexadecimal: 0xB629544D4000000
• Base-36: 68DT7Y3PEPZ4

Squares and roots of 820382204981936128

• 820382204981936128 squared (820382204981936128²) is 673026962251023466715930783471632384
• 820382204981936128 cubed (820382204981936128³) is 552139343303788922232508085000082496101835436984369152
• The square root of 820382204981936128 is 905749526.6252895635
• The cube root of 820382204981936128 is 936135.5625320615

Scales and comparisons

• 820,382,204,981,936,128 seconds is equal to 26,085,616,509 years, 33 weeks, 6 days, 3 hours, 35 minutes, 28 seconds.
• To count from 1 to 820,382,204,981,936,128 would take you about seventy-eight billion, two hundred fifty-six million, eight hundred forty-nine thousand, five hundred twenty-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 820382204981936128 cubic inches would be around 78011.3 feet tall.

Recreational maths with 820382204981936128

• 820382204981936128 backwards is 821639189402283028
• The number of decimal digits it has is: 18
• The sum of 820382204981936128's digits is 76
• More coming soon!