82181338849310967

Names of 82181338849310967

• Cardinal: 82181338849310967 can be written as Eighty-two quadrillion, one hundred eighty-one trillion, three hundred thirty-eight billion, eight hundred forty-nine million, three hundred ten thousand, nine hundred sixty-seven.

Scientific notation

• Scientific notation: 8.2181338849310967 × 10¹⁶

Factors of 82181338849310967

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 15365

Divisors of 82181338849310967

• Number of divisors d(n): 324
• Complete list of divisors:
  1 3 7 9 21 27 49 63 81 131 147 189 243 393 441 567 729 917 1051 1179 1323 1701 2187 2751 3153 3537 3969 5103 6419 6561 7357 8253 9459 10611 11907 14173 15309 17161 19257 22071 24759 28377 31833 35721 42519 45927 51483 51499 57771 66213 74277 85131 95499 99211 107163 120127 127557 137681 154449 154497 173313 198639 222831 255393 286497 297633 321489 360381 382671 413043 463347 463491 519939 595917 668493 694477 766179 840889 859491 892899 963767 1081143 1148013 1239129 1390041 1390473 1559817 1787751 1856663 2005479 2083431 2298537 2522667 2678697 2891301 3243429 3444039 3717387 4170123 4171419 4679451 5363253 5569989 6016437 6250293 6746369 6895611 7568001 8036091 8673903 9730287 10332117 11152161 12510369 12514257 12996641 14038353 14895823 16089759 16709967 18036211 18750879 20239107 22704003 24108273 26021709 29190861 30996351 33456483 37531107 37542771 38989923 42115059 44687469 48269277 50129901 54108633 56252637 60717321 68112009 72324819 78065127 87572583 90976487 92989053 100369449 104270761 112593321 112628313 116969769 126253477 134062407 150389703 162325899 168757911 182151963 204336027 216974457 234195381 243222853 262717749 272929461 301108347 312812283 337884939 350909307 378760431 402187221 451169109 486977697 506273733 546455889 613008081 650923371 702586143 729668559 729895327 788153247 818788383 883774339 903325041 938436849 1052727921 1136281293 1206561663 1353507327 1460933091 1518821199 1639367667 1702559971 1839024243 1951352813 2107758429 2189005677 2189685981 2456365149 2651323017 2815310547 3158183763 3408843879 3619684989 4060521981 4382799273 4556463597 4918103001 5107679913 5517072729 5854058439 6323275287 6567017031 6569057943 7369095447 7953969051 8445931641 9474551289 10226531637 10859054967 11917919797 12181565943 13148397819 13659469691 14754309003 15323039739 17562175317 19701051093 19707173829 22107286341 23861907153 25337794923 28423653867 30679594911 32577164901 35753759391 39445193457 40978409073 44262927009 45969119217 52686525951 59103153279 59121521487 66321859023 71585721459 76013384769 85270961601 92038784733 95616287837 97731494703 107261278173 118335580371 122935227219 137907357651 158059577853 177309459837 177364564461 198965577069 214757164377 228040154307 255627218503 276116354199 286848863511 321783834519 368805681657 413722072953 474178733559 531928379511 532093693383 596896731207 644271493131 684120462921 766881655509 828349062597 860546590533 965351503557 1106417044971 1241166218859 1422536200677 1595785138533 1596281080149 1789390529521 1932814479393 2300644966527 2581639771599 2896054510671 3319251134913 3723498656577 4267608602031 4788843240447 5368171588563 5798443438179 6901934899581 7744919314797 8688163532013 9957753404739 11170495969731 12525733706647 12802825806093 16104514765689 20705804698743 23234757944391 26064490596039 29873260214217 37577201119941 48313544297067 62117414096229 69704273833173 78193471788117 89619780642651 112731603359823 144940632891201 186352242288687 209112821499519 338194810079469 434821898673603 559056726866061 627338464498557 1014584430238407 1304465696020809 1677170180598183 3043753290715221 3913397088062427 9131259872145663 11740191264187281 27393779616436989 82181338849310967
• Sum of all divisors σ(n): 144641393493460968
• Sum of proper divisors (its aliquot sum) s(n): 62460054644150001
• 82181338849310967 is a deficient number, because the sum of its proper divisors (62460054644150001) is less than itself. Its deficiency is 19721284205160966

Bases of 82181338849310967

• Binary: 100100011111101110111111000000101010001110111100011110111₂
• Hexadecimal: 0x123F77E054778F7
• Base-36: MH6UPVFL8FR

Squares and roots of 82181338849310967

• 82181338849310967 squared (82181338849310967²) is 6753772455065268013596810666475089
• 82181338849310967 cubed (82181338849310967³) is 555034062640861617395434917845670972948954320001063
• The square root of 82181338849310967 is 286672877.7706586023
• The cube root of 82181338849310967 is 434768.1661549751

Scales and comparisons

• 82,181,338,849,310,967 seconds is equal to 2,613,112,371 years, 43 weeks, 3 days, 12 hours, 9 minutes, 27 seconds.
• To count from 1 to 82,181,338,849,310,967 would take you about seven billion, eight hundred thirty-nine million, three hundred thirty-seven thousand, one hundred fifteen 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 82181338849310967 cubic inches would be around 36230.7 feet tall.

Recreational maths with 82181338849310967

• 82181338849310967 backwards is 76901394883318128
• 82181338849310967 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 82181338849310967's digits is 81
• More coming soon!