40686940437171840

Names of 40686940437171840

• Cardinal: 40686940437171840 can be written as Forty quadrillion, six hundred eighty-six trillion, nine hundred forty billion, four hundred thirty-seven million, one hundred seventy-one thousand, eight hundred forty.

Scientific notation

• Scientific notation: 4.068694043717184 × 10¹⁶

Factors of 40686940437171840

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1086223449

Divisors of 40686940437171840

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 112 120 126 128 140 144 160 168 180 192 210 224 240 252 280 288 315 320 336 360 384 420 448 480 504 560 576 630 640 672 720 840 896 929 960 1008 1120 1152 1260 1344 1440 1680 1858 1920 2016 2240 2520 2688 2787 2880 3360 3716 4032 4480 4645 5040 5574 5760 6503 6720 7432 8064 8361 9290 10080 11148 13006 13440 13935 14864 16722 18580 19509 20160 22296 26012 27870 29728 32515 33444 37160 39018 40320 41805 44592 52024 55740 58527 59456 65030 66888 74320 78036 83610 89184 97545 104048 111480 117054 118912 130060 133776 148640 156072 167220 178368 195090 208096 222960 234108 260120 267552 292635 297280 312144 334440 356736 390180 416192 445920 468216 520240 535104 585270 594560 624288 668880 780360 832384 891840 936432 1040480 1070208 1170540 1248576 1337760 1560720 1783680 1872864 2080960 2341080 2497152 2675520 3121440 3745728 4161920 4682160 5351040 6242880 7491456 9364320 12485760 18728640 37457280 1086222503 2172445006 3258667509 4344890012 5431112515 6517335018 7603557521 8689780024 9776002527 10862225030 13034670036 15207115042 16293337545 17379560048 19552005054 21724450060 22810672563 26069340072 30414230084 32586675090 34759120096 38017787605 39104010108 43448900120 45621345126 48880012635 52138680144 60828460168 65173350180 68432017689 69518240192 76035575210 78208020216 86897800240 91242690252 97760025270 104277360288 114053362815 121656920336 130346700360 136864035378 139036480384 152071150420 156416040432 173795600480 182485380504 195520050540 208554720576 228106725630 243313840672 260693400720 273728070756 304142300840 312832080864 342160088445 347591200960 364970761008 391040101080 417109441152 456213451260 486627681344 521386801440 547456141512 608284601680 625664161728 684320176890 695182401920 729941522016 782080202160 912426902520 973255362688 1009100705287 1042773602880 1094912283024 1216569203360 1251328323456 1368640353780 1459883044032 1564160404320 1824853805040 2018201410574 2085547205760 2189824566048 2433138406720 2737280707560 2919766088064 3027302115861 3128320808640 3649707610080 4036402821148 4379649132096 4866276813440 5045503526435 5474561415120 6054604231722 6256641617280 7063704937009 7299415220160 8072805642296 8759298264192 9081906347583 10091007052870 10949122830240 12109208463444 14127409874018 14598830440320 15136510579305 16145611284592 18163812695166 20182014105740 21191114811027 21898245660480 24218416926888 28254819748036 30273021158610 32291222569184 35318524685045 36327625390332 40364028211480 42382229622054 43796491320960 45409531737915 48436833853776 56509639496072 60546042317220 63573344433081 64582445138368 70637049370090 72655250780664 80728056422960 84764459244108 90819063475830 96873667707552 105955574055135 113019278992144 121092084634440 127146688866162 129164890276736 141274098740180 145310501561328 161456112845920 169528918488216 181638126951660 193747335415104 211911148110270 226038557984288 242184169268880 254293377732324 282548197480360 290621003122656 317866722165405 322912225691840 339057836976432 363276253903320 387494670830208 423822296220540 452077115968576 484368338537760 508586755464648 565096394960720 581242006245312 635733444330810 645824451383680 678115673952864 726552507806640 847644592441080 904154231937152 968736677075520 1017173510929296 1130192789921440 1162484012490624 1271466888661620 1356231347905728 1453105015613280 1695289184882160 1937473354151040 2034347021858592 2260385579842880 2542933777323240 2712462695811456 2906210031226560 3390578369764320 4068694043717184 4520771159685760 5085867554646480 5812420062453120 6781156739528640 8137388087434368 10171735109292960 13562313479057280 20343470218585920 40686940437171840
• Sum of all divisors σ(n): 160740944097926400
• Sum of proper divisors (its aliquot sum) s(n): 120054003660754560
• 40686940437171840 is an abundant number, because the sum of its proper divisors (120054003660754560) is greater than itself. Its abundance is 79367063223582720

Bases of 40686940437171840

• Binary: 10010000100011001000111010000111110000010100111010000000₂
• Hexadecimal: 0x908C8E87C14E80
• Base-36: B4MBEEEMCG0

Squares and roots of 40686940437171840

• 40686940437171840 squared (40686940437171840²) is 1655427122137969038658417688985600
• 40686940437171840 cubed (40686940437171840³) is 67354264716506338968713379500027360646382485504000
• The square root of 40686940437171840 is 201710040.4966788955
• The cube root of 40686940437171840 is 343941.8405968651

Scales and comparisons

• 40,686,940,437,171,840 seconds is equal to 1,293,718,852 years, 48 weeks, 3 days, 6 hours, 24 minutes.
• To count from 1 to 40,686,940,437,171,840 would take you about three billion, eight hundred eighty-one million, one hundred fifty-six thousand, five hundred fifty-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 40686940437171840 cubic inches would be around 28661.8 feet tall.

Recreational maths with 40686940437171840

• 40686940437171840 backwards is 04817173404968604
• 40686940437171840 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40686940437171840's digits is 72
• More coming soon!