82320416004000

Names of 82320416004000

• Cardinal: 82320416004000 can be written as Eighty-two trillion, three hundred twenty billion, four hundred sixteen million, four thousand.

Scientific notation

• Scientific notation: 8.2320416004 × 10¹³

Factors of 82320416004000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 351

Divisors of 82320416004000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 125 127 136 150 160 170 197 200 204 240 250 254 255 272 300 340 375 381 394 400 408 425 480 500 508 510 544 591 600 635 680 750 762 788 800 816 850 985 1000 1016 1020 1182 1200 1270 1275 1360 1500 1524 1576 1632 1700 1905 1970 2000 2032 2040 2125 2159 2364 2400 2540 2550 2720 2955 3000 3048 3152 3175 3349 3400 3810 3940 4000 4064 4080 4250 4318 4728 4925 5080 5100 5910 6000 6096 6304 6350 6375 6477 6698 6800 7620 7880 8160 8500 8636 9456 9525 9850 10047 10160 10200 10795 11820 12000 12192 12700 12750 12954 13396 13600 14775 15240 15760 15875 16129 16745 17000 17272 18912 19050 19700 20094 20320 20400 21590 23640 24625 25019 25400 25500 25908 26792 29550 30480 31520 31750 32258 32385 33490 34000 34544 38100 39400 40188 40800 43180 47280 47625 48387 49250 50038 50235 50800 51000 51816 53584 53975 59100 60960 63500 64516 64770 66980 68000 69088 73875 75057 76200 78800 80376 80645 83725 86360 94560 95250 96774 98500 100076 100470 101600 102000 103632 107168 107950 118200 125095 127000 129032 129540 133960 147750 150114 152400 157600 160752 161290 161925 167450 172720 190500 193548 197000 200152 200940 204000 207264 215900 236400 241935 250190 251175 254000 258064 259080 267920 269875 274193 295500 300228 304800 321504 322580 323850 334900 345440 375285 381000 387096 394000 400304 401880 403225 418625 425323 431800 472800 483870 500380 502350 508000 516128 518160 535840 539750 548386 591000 600456 625475 645160 647700 669800 750570 762000 774192 788000 800608 803760 806450 809625 822579 837250 850646 863600 967740 1000760 1004700 1036320 1079500 1096772 1182000 1200912 1209675 1250950 1255875 1275969 1290320 1295400 1339600 1370965 1501140 1524000 1548384 1607520 1612900 1619250 1645158 1674500 1701292 1727200 1876425 1935480 2001520 2009400 2016125 2048383 2126615 2159000 2193544 2364000 2401824 2419350 2501900 2511750 2551938 2580640 2590800 2679200 2741930 3002280 3127375 3177413 3225800 3238500 3290316 3349000 3402584 3752850 3870960 4003040 4018800 4032250 4096766 4112895 4253230 4318000 4387088 4838700 5003800 5023500 5103876 5181600 5483860 6004560 6048375 6145149 6254750 6354826 6379845 6451600 6477000 6580632 6698000 6805168 6854825 7505700 7741920 8037600 8064500 8193532 8225790 8506460 8636000 8774176 9382125 9532239 9677400 10007600 10047000 10207752 10241915 10633075 10967720 12009120 12096750 12290298 12509500 12709652 12759690 12903200 12954000 13161264 13396000 13610336 13709650 15011400 15887065 16129000 16387064 16451580 17012920 18764250 19064478 19354800 20015200 20094000 20415504 20483830 20564475 21266150 21935440 24193500 24580596 25019000 25419304 25519380 25908000 26322528 27419300 30022800 30725745 31774130 31899225 32258000 32774128 32903160 34025840 34274125 34822511 37528500 38128956 38709600 40188000 40831008 40967660 41128950 42532300 43870880 47661195 48387000 49161192 50038000 50838608 51038760 51209575 53165375 54016021 54838600 60045600 61451490 63548260 63798450 64516000 65548256 65806320 68051680 68548250 69645022 75057000 76257912 79435325 81935320 82257900 85064600 95322390 96774000 98322384 100076000 101677216 102077520 102419150 102822375 104467533 106330750 108032042 109677200 122902980 127096520 127596900 131612640 137096500 139290044 150114000 152515824 153628725 158870650 159496125 162048063 163870640 164515800 170129200 174112555 190644780 193548000 196644768 204155040 204838300 205644750 208935066 212661500 216064084 219354400 238305975 245805960 254193040 255193800 256047875 270080105 274193000 278580088 300228000 305031648 307257450 317741300 318992250 324096126 327741280 329031600 340258400 348225110 381289560 397176625 403531451 409676600 411289500 417870132 425323000 432128168 476611950 491611920 508386080 510387600 512095750 522337665 540160210 548386000 557160176 614514900 635482600 637984500 648192252 658063200 696450220 762579120 768143625 794353250 807062902 810240315 819353200 822579000 835740264 850646000 864256336 870562775 953223900 983223840 1020775200 1024191500 1044675330 1080320420 1096772000 1114320352 1191529875 1210594353 1229029800 1270965200 1275969000 1296384504 1350400525 1392900440 1525158240 1536287250 1588706500 1614125804 1620480630 1638706400 1645158000 1671480528 1701292000 1728512672 1741125550 1906447800 2017657255 2048383000 2089350660 2160640840 2383059750 2421188706 2458059600 2541930400 2551938000 2592769008 2611688325 2700801050 2785800880 3072574500 3177413000 3228251608 3240961260 3290316000 3342961056 3482251100 3812895600 4035314510 4051201575 4096766000 4178701320 4321281680 4352813875 4766119500 4842377412 4916119200 5103876000 5185538016 5223376650 5401602100 5571601760 6052971765 6145149000 6354826000 6456503216 6481922520 6752002625 6860034667 6964502200 7625791200 8070629020 8102403150 8193532000 8357402640 8642563360 8705627750 9532239000 9684754824 10088286275 10446753300 10803204200 12105943530 12290298000 12709652000 12913006432 12963845040 13058441625 13504005250 13720069334 13929004400 16141258040 16204806300 16714805280 17411255500 19064478000 19369509648 20176572550 20256007875 20580104001 20893506600 21606408400 24211887060 24580596000 25927690080 26116883250 27008010500 27440138668 27858008800 30264858825 32282516080 32409612600 34300173335 34822511000 38128956000 38739019296 40353145100 40512015750 41160208002 41787013200 43212816800 48423774120 50441431375 52233766500 54016021000 54880277336 60529717650 64565032160 64819225200 68600346670 69645022000 80706290200 81024031500 82320416004 83574026400 96847548240 100882862750 102900520005 104467533000 108032042000 109760554672 121059435300 129638450400 137200693340 139290044000 151324294125 161412580400 162048063000 164640832008 171500866675 193695096480 201765725500 205801040010 208935066000 216064084000 219521109344 242118870600 274401386680 302648588250 322825160800 324096126000 329281664016 343001733350 403531451000 411602080020 417870132000 484237741200 514502600025 548802773360 605297176500 648192252000 658563328032 686003466700 807062902000 823204160040 857504333375 968475482400 1029005200050 1097605546720 1210594353000 1372006933400 1614125804000 1646408320080 1715008666750 2058010400100 2421188706000 2572513000125 2744013866800 3292816640160 3430017333500 4116020800200 4842377412000 5145026000250 5488027733600 6860034667000 8232041600400 10290052000500 13720069334000 16464083200800 20580104001000 27440138668000 41160208002000 82320416004000
• Sum of all divisors σ(n): 289272515051520
• Sum of proper divisors (its aliquot sum) s(n): 206952099047520
• 82320416004000 is an abundant number, because the sum of its proper divisors (206952099047520) is greater than itself. Its abundance is 124631683043520

Bases of 82320416004000

• Binary: 10010101101111010110111001001110101011110100000₂
• Hexadecimal: 0x4ADEB72757A0
• Base-36: T6HH68L9C

Squares and roots of 82320416004000

• 82320416004000 squared (82320416004000²) is 6776650891071619328016000000
• 82320416004000 cubed (82320416004000³) is 557856720466892992440204051968064000000000
• The square root of 82320416004000 is 9073059.9030316117
• The cube root of 82320416004000 is 43501.3283610737

Scales and comparisons

• 82,320,416,004,000 seconds is equal to 2,617,534 years, 30 weeks, 6 days, 15 hours, 20 minutes.
• To count from 1 to 82,320,416,004,000 would take you about six million, five hundred forty-three thousand, eight hundred thirty-six 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 82320416004000 cubic inches would be around 3625.1 feet tall.

Recreational maths with 82320416004000

• 82320416004000 backwards is 00040061402328
• 82320416004000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 82320416004000's digits is 30
• More coming soon!