86138982331628800

Names of 86138982331628800

• Cardinal: 86138982331628800 can be written as Eighty-six quadrillion, one hundred thirty-eight trillion, nine hundred eighty-two billion, three hundred thirty-one million, six hundred twenty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 8.61389823316288 × 10¹⁶

Factors of 86138982331628800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 88012708

Divisors of 86138982331628800

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 128 140 160 175 196 200 224 245 256 280 320 350 392 400 448 490 560 640 700 784 800 896 980 1120 1225 1280 1400 1568 1600 1792 1960 2240 2450 2800 3121 3136 3200 3920 4480 4900 5600 6242 6272 6400 7840 8960 9800 11200 12484 12544 15605 15680 19600 21847 22400 24968 31210 31360 39200 43694 44800 49936 62420 62720 78025 78400 87388 99872 109235 124840 152929 156050 156800 174776 199744 218470 249680 305858 312100 313600 349552 399488 436940 499360 546175 611716 624200 699104 764645 798976 873880 998720 1092350 1223432 1248400 1398208 1529290 1747760 1997440 2184700 2446864 2496800 2796416 3058580 3495520 3823225 3994880 4369400 4893728 4993600 5592832 6117160 6991040 7646450 8738800 9787456 9987200 12234320 13982080 15292900 17477600 19574912 19974400 24468640 27964160 30585800 34955200 39149824 48937280 61171600 69910400 88009573 97874560 122343200 139820800 176019146 195749120 244686400 352038292 440047865 489372800 616067011 704076584 880095730 978745600 1232134022 1408153168 1760191460 2200239325 2464268044 2816306336 3080335055 3520382920 4312469077 4400478650 4928536088 5632612672 6160670110 7040765840 8624938154 8800957300 9857072176 11265225344 12321340220 14081531680 15401675275 17249876308 17601914600 19714144352 21562345385 22530450688 24642680440 28163063360 30803350550 34499752616 35203829200 39428288704 43124690770 49285360880 56326126720 61606701100 68999505232 70407658400 78856577408 86249381540 98570721760 107811726925 112652253440 123213402200 137999010464 140815316800 157713154816 172498763080 197141443520 215623453850 246426804400 274677877333 275998020928 281630633600 344997526160 394282887040 431246907700 492853608800 549355754666 551996041856 563261267200 689995052320 788565774080 862493815400 985707217600 1098711509332 1103992083712 1373389386665 1379990104640 1724987630800 1922745141331 1971414435200 2197423018664 2746778773330 2759980209280 3449975261600 3845490282662 3942828870400 4394846037328 5493557546660 5519960418560 6866946933325 6899950523200 7690980565324 8789692074656 9613725706655 10987115093320 13459215989317 13733893866650 13799901046400 15381961130648 17579384149312 19227451413310 21974230186640 26918431978634 27467787733300 27599802092800 30763922261296 35158768298624 38454902826620 43948460373280 48068628533275 53836863957268 54935575466600 61527844522592 67296079946585 70317536597248 76909805653240 87896920746560 96137257066550 107673727914536 109871150933200 123055689045184 134592159893170 153819611306480 175793841493120 192274514133100 215347455829072 219742301866400 246111378090368 269184319786340 307639222612960 336480399732925 351587682986240 384549028266200 430694911658144 439484603732800 492222756180736 538368639572680 615278445225920 672960799465850 769098056532400 861389823316288 878969207465600 1076737279145360 1230556890451840 1345921598931700 1538196113064800 1722779646632576 1757938414931200 2153474558290720 2461113780903680 2691843197863400 3076392226129600 3445559293265152 4306949116581440 5383686395726800 6152784452259200 8613898233162880 10767372791453600 12305568904518400 17227796466325760 21534745582907200 43069491165814400 86138982331628800
• Sum of all divisors σ(n): 248096288444212236
• Sum of proper divisors (its aliquot sum) s(n): 161957306112583436
• 86138982331628800 is an abundant number, because the sum of its proper divisors (161957306112583436) is greater than itself. Its abundance is 75818323780954636

Bases of 86138982331628800

• Binary: 100110010000001101111001010110011001100001011110100000000₂
• Hexadecimal: 0x13206F2B330BD00
• Base-36: NK5PY6TMVB4

Squares and roots of 86138982331628800

• 86138982331628800 squared (86138982331628800²) is 7419924277128658577740860989440000
• 86138982331628800 cubed (86138982331628800³) is 639144726209609117027210115179782790974799872000000
• The square root of 86138982331628800 is 293494433.2208513967
• The cube root of 86138982331628800 is 441638.1468363377

Scales and comparisons

• 86,138,982,331,628,800 seconds is equal to 2,738,953,192 years, 40 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
• To count from 1 to 86,138,982,331,628,800 would take you about eight billion, two hundred sixteen million, eight hundred fifty-nine thousand, five hundred seventy-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 86138982331628800 cubic inches would be around 36803.2 feet tall.

Recreational maths with 86138982331628800

• 86138982331628800 backwards is 00882613328983168
• The number of decimal digits it has is: 17
• The sum of 86138982331628800's digits is 76
• More coming soon!