12984827466003456

Names of 12984827466003456

• Cardinal: 12984827466003456 can be written as Twelve quadrillion, nine hundred eighty-four trillion, eight hundred twenty-seven billion, four hundred sixty-six million, three thousand, four hundred fifty-six.

Scientific notation

• Scientific notation: 1.2984827466003456 × 10¹⁶

Factors of 12984827466003456

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 8120

Divisors of 12984827466003456

• Number of divisors d(n): 396
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 128 168 192 194 224 256 291 336 384 388 448 512 582 672 679 768 776 896 1024 1164 1344 1358 1536 1552 1792 2037 2328 2688 2716 3072 3104 3584 4074 4656 5376 5432 6208 7168 8011 8148 9312 9409 10752 10864 12416 16022 16296 18624 18818 21504 21728 24033 24832 28227 32044 32592 37248 37636 43456 48066 49664 56077 56454 64088 65184 65863 74496 75272 86912 96132 99328 112154 112908 128176 130368 131726 148992 150544 168231 173824 192264 197589 224308 225816 256352 260736 263452 297984 301088 336462 347648 384528 395178 448616 451632 512704 521472 526904 602176 672924 695296 769056 777067 790356 897232 903264 1025408 1042944 1053808 1204352 1345848 1538112 1554134 1580712 1794464 1806528 2050816 2085888 2107616 2331201 2408704 2691696 3076224 3108268 3161424 3588928 3613056 4101632 4215232 4662402 4817408 5383392 5439469 6152448 6216536 6322848 7177856 7226112 8203264 8430464 9324804 9634816 10766784 10878938 12304896 12433072 12645696 14355712 14452224 16318407 16860928 18649608 21533568 21757876 24609792 24866144 25291392 28711424 28904448 32636814 33721856 37299216 43067136 43515752 49732288 50582784 57422848 64176121 65273628 67443712 74598432 75375499 86134272 87031504 99464576 101165568 128352242 130547256 149196864 150750998 172268544 174063008 192528363 198929152 202331136 226126497 256704484 261094512 298393728 301501996 348126016 385056726 397858304 449232847 452252994 513408968 522189024 527628493 596787456 603003992 696252032 770113452 795716608 898465694 904505988 1026817936 1044378048 1055256986 1193574912 1206007984 1347698541 1392504064 1540226904 1582885479 1796931388 1809011976 2053635872 2088756096 2110513972 2387149824 2412015968 2695397082 2785008128 3080453808 3165770958 3593862776 3618023952 4107271744 4177512192 4221027944 4824031936 5390794164 5570016256 6160907616 6225083737 6331541916 7187725552 7236047904 8214543488 8355024384 8442055888 9648063872 10781588328 12321815232 12450167474 12663083832 14375451104 14472095808 16429086976 16710048768 16884111776 18675251211 19296127744 21563176656 24643630464 24900334948 25326167664 28750902208 28944191616 32858173952 33768223552 37350502422 38592255488 43126353312 43575586159 49287260928 49800669896 50652335328 57501804416 57888383232 65716347904 67536447104 74701004844 77184510976 86252706624 87151172318 98574521856 99601339792 101304670656 115003608832 115776766464 130726758477 135072894208 149402009688 172505413248 174302344636 197149043712 199202679584 202609341312 230007217664 231553532928 261453516954 270145788416 298804019376 345010826496 348604689272 398405359168 405218682624 460014435328 522907033908 540291576832 597608038752 603833122489 690021652992 697209378544 796810718336 810437365248 1045814067816 1195216077504 1207666244978 1380043305984 1394418757088 1593621436672 1620874730496 1811499367467 2091628135632 2390432155008 2415332489956 2788837514176 3187242873344 3622998734934 4183256271264 4226831857423 4780864310016 4830664979912 5577675028352 6374485746688 7245997469868 8366512542528 8453663714846 9561728620032 9661329959824 11155350056704 12680495572269 14491994939736 16733025085056 16907327429692 19123457240064 19322659919648 22310700113408 25360991144538 28983989879472 33466050170112 33814654859384 38645319839296 44621400226816 50721982289076 57967979758944 66932100340224 67629309718768 77290639678592 101443964578152 115935959517888 133864200680448 135258619437536 154581279357184 202887929156304 231871919035776 270517238875072 309162558714368 405775858312608 463743838071552 541034477750144 618325117428736 811551716625216 927487676143104 1082068955500288 1623103433250432 1854975352286208 2164137911000576 3246206866500864 4328275822001152 6492413733001728 12984827466003456
• Sum of all divisors σ(n): 39970445978440224
• Sum of proper divisors (its aliquot sum) s(n): 26985618512436768
• 12984827466003456 is an abundant number, because the sum of its proper divisors (26985618512436768) is greater than itself. Its abundance is 14000791046433312

Bases of 12984827466003456

• Binary: 101110001000011010000110111100100101001011010000000000₂
• Hexadecimal: 0x2E21A1BC94B400
• Base-36: 3JUQJDYY51C

Squares and roots of 12984827466003456

• 12984827466003456 squared (12984827466003456²) is 168605744321877732283445003943936
• 12984827466003456 cubed (12984827466003456³) is 2189316499796674224300247993754470082879806242816
• The square root of 12984827466003456 is 113950987.1216719911
• The cube root of 12984827466003456 is 235041.9569932405

Scales and comparisons

• 12,984,827,466,003,456 seconds is equal to 412,877,348 years, 36 weeks, 6 days, 14 hours, 17 minutes, 36 seconds.
• To count from 1 to 12,984,827,466,003,456 would take you about one billion, two hundred thirty-eight million, six hundred thirty-two thousand and forty-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 12984827466003456 cubic inches would be around 19586.8 feet tall.

Recreational maths with 12984827466003456

• 12984827466003456 backwards is 65430066472848921
• The number of decimal digits it has is: 17
• The sum of 12984827466003456's digits is 75
• More coming soon!