820130720132452311

Names of 820130720132452311

• Cardinal: 820130720132452311 can be written as Eight hundred twenty quadrillion, one hundred thirty trillion, seven hundred twenty billion, one hundred thirty-two million, four hundred fifty-two thousand, three hundred eleven.

Scientific notation

• Scientific notation: 8.20130720132452311 × 10¹⁷

Factors of 820130720132452311

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 108

Divisors of 820130720132452311

• Number of divisors d(n): 336
• Complete list of divisors:
  1 3 9 11 27 33 41 53 99 121 123 159 297 363 369 451 477 583 1089 1107 1331 1353 1431 1749 2173 2809 3267 3993 4059 4961 5247 6413 6519 8427 11979 12177 14641 14883 15741 19239 19557 23903 25281 30899 35937 43923 44649 54571 57717 58671 70543 71709 75843 92697 115169 131769 133947 148877 161051 163713 173151 211629 215127 262933 278091 339889 345507 395307 446631 483153 491139 600281 634887 645381 775973 788799 834273 1019667 1036521 1266859 1339893 1449459 1473417 1637647 1771561 1800843 1904661 2327919 2366397 2892263 3059001 3109563 3738779 3800577 4019679 4348377 4912941 5314683 5402529 6103957 6603091 6983757 7099191 7890481 8535703 8676789 9177003 11216337 11401731 13935449 14738823 15944049 16207587 18014117 18311871 19809273 20951271 23671443 25607109 26030367 31814893 33649011 34205193 41126569 41806347 44216469 47832147 54042351 54935613 59427819 67143527 71014329 72634001 76821327 78091101 86795291 93892733 95444679 100947033 123379707 125419041 153289939 162127053 164806839 178283457 198155287 201430581 213042987 217902003 230463981 260385873 281678199 286334037 323509721 349963823 370139121 376257123 418195493 452392259 459869817 486381159 594465861 604291743 653706009 738578797 781157619 845034597 859002111 954748201 970529163 1049891469 1110417363 1254586479 1357176777 1379609451 1686189329 1783397583 1812875229 1961118027 2179708157 2215736391 2343472857 2535103791 2864244603 2911587489 3149674407 3558606931 3763759437 3849602053 4071530331 4138828353 4600150423 4976314849 5058567987 5350192749 6539124471 6647209173 8124366767 8592733809 8734762467 9449023221 10502230211 10675820793 11291278311 11548806159 12214590993 13800451269 14928944547 15175703961 17146015213 18548082619 19617373413 19941627519 23976789727 24373100301 25778201427 31506690633 32027462379 34646418477 39144676241 41401353807 44786833641 45527111883 50601654653 51438045639 55644247857 58852120239 71930369181 73119300903 89368034437 94520071899 96082387137 103939255431 115524532321 117434028723 124204061421 134360500923 151804963959 154314136917 166932743571 188606167343 204028908809 215791107543 219357902709 263744686997 268104103311 283560215697 346573596963 352302086169 430591438651 455414891877 462942410751 500798230713 556618201183 565818502029 612086726427 647373322629 791234060991 804312309933 983048378807 1039720790889 1056906258507 1270769855531 1291774315953 1366244675631 1669854603549 1697455506087 1836260179281 2074667840773 2373702182973 2412936929799 2949145136421 3119162372667 3812309566593 3875322947859 4736505825161 5009563810647 5092366518261 5508780537843 6122800213013 6224003522319 7121106548919 8847435409263 10813532166877 11436928699779 11625968843577 13978468410841 14209517475483 15028691431941 18368400639039 18672010566957 22821346248503 26542306227789 32440596500631 34310786099337 41935405232523 42628552426449 52101564076771 55105201917117 56016031700871 67350802343143 68464038745509 97321789501893 125806215697569 127885657279347 156304692230313 165315605751351 202052407029429 205392116236527 251034808733533 291965368505679 377418647092707 468914076690939 573117204844481 606157221088287 616176348709581 740858825774573 753104426200599 1406742230072817 1719351614533443 1818471663264861 2222576477323719 2259313278601797 2761382896068863 5158054843600329 6667729431971157 6777939835805391 8284148688206589 15474164530800987 20003188295913471 24852446064619767 30375211856757493 74557338193859301 91125635570272479 273376906710817437 820130720132452311
• Sum of all divisors σ(n): 1395436021245735840
• Sum of proper divisors (its aliquot sum) s(n): 575305301113283529
• 820130720132452311 is a deficient number, because the sum of its proper divisors (575305301113283529) is less than itself. Its deficiency is 244825419019168782

Bases of 820130720132452311

• Binary: 101101100001101100001000101101110010111000010100111111010111₂
• Hexadecimal: 0xB61B08B72E14FD7
• Base-36: 68BC2RK367RR

Squares and roots of 820130720132452311

• 820130720132452311 squared (820130720132452311²) is 672614398104974818389731454689240721
• 820130720132452311 cubed (820130720132452311³) is 551631730689288964828717633833459598610030840331756231
• The square root of 820130720132452311 is 905610689.0559829909
• The cube root of 820130720132452311 is 936039.8965649101

Scales and comparisons

• 820,130,720,132,452,311 seconds is equal to 26,077,620,069 years, 17 weeks, 1 day, 17 hours, 11 minutes, 51 seconds.
• To count from 1 to 820,130,720,132,452,311 would take you about seventy-eight billion, two hundred thirty-two million, eight hundred sixty thousand, two hundred seven 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 820130720132452311 cubic inches would be around 78003.3 feet tall.

Recreational maths with 820130720132452311

• 820130720132452311 backwards is 113254231027031028
• The number of decimal digits it has is: 18
• The sum of 820130720132452311's digits is 45
• More coming soon!