20802321730764800

Names of 20802321730764800

• Cardinal: 20802321730764800 can be written as Twenty quadrillion, eight hundred two trillion, three hundred twenty-one billion, seven hundred thirty million, seven hundred sixty-four thousand, eight hundred.

Scientific notation

• Scientific notation: 2.08023217307648 × 10¹⁶

Factors of 20802321730764800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 3757

Divisors of 20802321730764800

• Number of divisors d(n): 342
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1093 1280 1600 2048 2186 2560 2657 3200 4096 4372 5120 5314 5465 6400 8192 8744 10240 10628 10930 12800 13285 16384 17488 20480 21256 21860 25600 26570 27325 32768 34976 40960 42512 43720 51200 53140 54650 65536 66425 69952 81920 85024 87440 102400 106280 109300 131072 132850 139904 163840 170048 174880 204800 212560 218600 262144 265700 279808 327680 340096 349760 409600 425120 437200 531400 559616 655360 680192 699520 819200 850240 874400 1062800 1119232 1194649 1310720 1360384 1399040 1638400 1700480 1748800 2125600 2238464 2389298 2720768 2798080 2904101 3276800 3400960 3497600 4251200 4476928 4778596 5441536 5596160 5808202 5973245 6553600 6801920 6995200 8502400 8953856 9557192 10883072 11192320 11616404 11946490 13603840 13990400 14520505 17004800 17907712 19114384 21766144 22384640 23232808 23892980 27207680 27980800 29041010 29866225 34009600 35815424 38228768 43532288 44769280 46465616 47785960 54415360 55961600 58082020 59732450 68019200 71630848 72602525 76457536 87064576 89538560 92931232 95571920 108830720 111923200 116164040 119464900 136038400 143261696 145205050 152915072 174129152 179077120 185862464 191143840 217661440 223846400 232328080 238929800 272076800 286523392 290410100 305830144 348258304 358154240 371724928 382287680 435322880 447692800 464656160 477859600 544153600 580820200 611660288 696516608 716308480 743449856 764575360 870645760 895385600 929312320 955719200 1088307200 1161640400 1223320576 1432616960 1486899712 1529150720 1741291520 1790771200 1858624640 1911438400 2176614400 2323280800 2446641152 2973799424 3058301440 3174182393 3482583040 3581542400 3717249280 3822876800 4353228800 4646561600 4893282304 5947598848 6116602880 6348364786 7163084800 7434498560 7645753600 8706457600 9293123200 9786564608 11895197696 12233205760 12696729572 14868997120 15291507200 15870911965 17412915200 18586246400 19573129216 23790395392 24466411520 25393459144 29737994240 30583014400 31741823930 37172492800 39146258432 47580790784 48932823040 50786918288 59475988480 61166028800 63483647860 74344985600 78292516864 79354559825 95161581568 97865646080 101573836576 118951976960 122332057600 126967295720 148689971200 156585033728 158709119650 190323163136 195731292160 203147673152 237903953920 244664115200 253934591440 297379942400 313170067456 317418239300 380646326272 391462584320 406295346304 475807907840 489328230400 507869182880 594759884800 634836478600 761292652544 782925168640 812590692608 951615815680 978656460800 1015738365760 1189519769600 1269672957200 1565850337280 1625181385216 1903231631360 1957312921600 2031476731520 2379039539200 2539345914400 3250362770432 3806463262720 3914625843200 4062953463040 4758079078400 5078691828800 6500725540864 7829251686400 8125906926080 9516158156800 10157383657600 13001451081728 16251813852160 19032316313600 20314767315200 26002902163456 32503627704320 40629534630400 52005804326912 65007255408640 81259069260800 104011608653824 130014510817280 162518138521600 208023217307648 260029021634560 325036277043200 416046434615296 520058043269120 650072554086400 832092869230592 1040116086538240 1300145108172800 2080232173076480 2600290216345600 4160464346152960 5200580432691200 10401160865382400 20802321730764800
• Sum of all divisors σ(n): 51656337018837918
• Sum of proper divisors (its aliquot sum) s(n): 30854015288073118
• 20802321730764800 is an abundant number, because the sum of its proper divisors (30854015288073118) is greater than itself. Its abundance is 10051693557308318

Bases of 20802321730764800

• Binary: 1001001111001111001100111110101010001000000000000000000₂
• Hexadecimal: 0x49E799F5440000
• Base-36: 5OTT2OAGSU8

Squares and roots of 20802321730764800

• 20802321730764800 squared (20802321730764800²) is 432736589390249424218792919040000
• 20802321730764800 cubed (20802321730764800³) is 9001925757169829991112246973758455563681792000000
• The square root of 20802321730764800 is 144230099.9471497281
• The cube root of 20802321730764800 is 275024.0055331431

Scales and comparisons

• 20,802,321,730,764,800 seconds is equal to 661,449,485 years, 12 weeks, 14 hours, 13 minutes, 20 seconds.
• To count from 1 to 20,802,321,730,764,800 would take you about one billion, nine hundred eighty-four million, three hundred forty-eight thousand, four hundred fifty-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 20802321730764800 cubic inches would be around 22918.7 feet tall.

Recreational maths with 20802321730764800

• 20802321730764800 backwards is 00846703712320802
• The number of decimal digits it has is: 17
• The sum of 20802321730764800's digits is 53
• More coming soon!