82308741993097984

Names of 82308741993097984

• Cardinal: 82308741993097984 can be written as Eighty-two quadrillion, three hundred eight trillion, seven hundred forty-one billion, nine hundred ninety-three million, ninety-seven thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 8.2308741993097984 × 10¹⁶

Factors of 82308741993097984

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 110608

Divisors of 82308741993097984

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 182 208 221 224 238 256 272 289 364 416 442 448 476 544 578 728 832 884 896 952 1088 1156 1456 1547 1664 1768 1792 1904 2023 2176 2312 2912 3094 3328 3536 3757 3808 4046 4352 4624 5824 6188 7072 7514 7616 8092 9248 11648 12376 14144 15028 15232 16184 18496 23296 24752 26299 28288 30056 30464 32368 36992 49504 52598 56576 60112 64736 73984 99008 105196 110569 120224 129472 198016 210392 221138 240448 258944 396032 420784 442276 480896 517888 773983 841568 884552 961792 1437397 1547966 1683136 1769104 1879673 2874794 3095932 3366272 3538208 3759346 5749588 6191864 6732544 7076416 7518692 10061779 11499176 12383728 13157711 14152832 15037384 20123558 22998352 24435749 24767456 26315422 28305664 30074768 31954441 40247116 45996704 48871498 49534912 52630844 60149536 63908882 80494232 91993408 97742996 99069824 105261688 120299072 127817764 160988464 171050243 183986816 195485992 198139648 210523376 223681087 240598144 255635528 321976928 342100486 367973632 390971984 415407733 421046752 447362174 481196288 511271056 643953856 684200972 781943968 830815466 842093504 894724348 1022542112 1287907712 1368401944 1563887936 1661630932 1684187008 1789448696 2045084224 2575815424 2736803888 2907854131 3127775872 3323261864 3368374016 3578897392 4090168448 5473607776 5815708262 6255551744 6646523728 7157794784 8180336896 10947215552 11631416524 12225503761 13293047456 14315589568 21894431104 23262833048 24451007522 26586094912 28631179136 43788862208 46525666096 48902015044 53172189824 57262358272 85578526327 93051332192 97804030088 106344379648 158931548893 171157052654 186102664384 195608060176 207833563937 317863097786 342314105308 372205328768 391216120352 415667127874 635726195572 684628210616 744410657536 782432240704 831334255748 1112520842251 1271452391144 1369256421232 1454834947559 1564864481408 1662668511496 2225041684502 2542904782288 2701836331181 2738512842464 2909669895118 3129728962816 3325337022992 3533170586929 4450083369004 5085809564576 5403672662362 5477025684928 5819339790236 6650674045984 7066341173858 8900166738008 10171619129152 10807345324724 10954051369856 11638679580472 13301348091968 14132682347716 17800333476016 18912854318267 20343238258304 21614690649448 21908102739712 23277359160944 24732194108503 26602696183936 28265364695432 35600666952032 37825708636534 40686476516608 43229381298896 45931217630077 46554718321888 49464388217006 53205392367872 56530729390864 71201333904064 75651417273068 86458762597792 91862435260154 93109436643776 98928776434012 113061458781728 142402667808128 151302834546136 172917525195584 183724870520308 186218873287552 197857552868024 226122917563456 284805335616256 302605669092272 321518523410539 345835050391168 367449741040616 372437746575104 395715105736048 452245835126912 605211338184544 643037046821078 691670100782336 734899482081232 791430211472096 904491670253824 1210422676369088 1286074093642156 1469798964162464 1582860422944192 2420845352738176 2572148187284312 2939597928324928 3165720845888384 4841690705476352 5144296374568624 5879195856649856 6331441691776768 10288592749137248 11758391713299712 20577185498274496 41154370996548992 82308741993097984
• Sum of all divisors σ(n): 214806782333280144
• Sum of proper divisors (its aliquot sum) s(n): 132498040340182160
• 82308741993097984 is an abundant number, because the sum of its proper divisors (132498040340182160) is greater than itself. Its abundance is 50189298347084176

Bases of 82308741993097984

• Binary: 100100100011010110101110101100000011010000110101100000000₂
• Hexadecimal: 0x1246B5D60686B00
• Base-36: MIG0I2HY5TS

Squares and roots of 82308741993097984

• 82308741993097984 squared (82308741993097984²) is 6774729008486371491599893824864256
• 82308741993097984 cubed (82308741993097984³) is 557619422032661273606013756241178899348437707259904
• The square root of 82308741993097984 is 286895001.6871991167
• The cube root of 82308741993097984 is 434992.7192917109

Scales and comparisons

• 82,308,741,993,097,984 seconds is equal to 2,617,163,397 years, 37 weeks, 4 days, 23 hours, 13 minutes, 4 seconds.
• To count from 1 to 82,308,741,993,097,984 would take you about seven billion, eight hundred fifty-one million, four hundred ninety thousand, one hundred ninety-three 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 82308741993097984 cubic inches would be around 36249.4 feet tall.

Recreational maths with 82308741993097984

• 82308741993097984 backwards is 48979039914780328
• 82308741993097984 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 82308741993097984's digits is 91
• More coming soon!