12983824830622464

Names of 12983824830622464

• Cardinal: 12983824830622464 can be written as Twelve quadrillion, nine hundred eighty-three trillion, eight hundred twenty-four billion, eight hundred thirty million, six hundred twenty-two thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 1.2983824830622464 × 10¹⁶

Factors of 12983824830622464

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 248876

Divisors of 12983824830622464

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 91 96 104 112 117 126 128 144 156 168 182 192 208 224 234 252 256 273 288 312 336 364 384 416 448 468 504 546 576 624 672 728 768 819 832 896 936 1008 1092 1152 1248 1344 1456 1638 1664 1792 1872 2016 2184 2304 2496 2688 2912 3276 3328 3744 4032 4368 4992 5376 5824 6552 7488 8064 8736 9984 11648 13104 14976 16128 17472 23296 26208 29952 34944 52416 69888 104832 209664 248851 497702 746553 995404 1493106 1741957 1990808 2239659 2986212 3235063 3483914 3981616 4479318 5225871 5972424 6470126 6967828 7963232 8958636 9705189 10451742 11944848 12940252 13935656 15677613 15926464 17917272 19410378 20903484 22645441 23889696 25880504 27871312 29115567 31355226 31852928 35834544 38820756 41806968 45290882 47779392 51761008 55742624 58231134 62710452 63705856 67936323 71669088 77641512 83613936 90581764 95558784 103522016 111485248 116462268 125420904 135872646 143338176 155283024 167227872 181163528 191117568 203808969 207044032 222970496 232924536 250841808 271745292 286676352 310566048 334455744 362327056 407617938 414088064 445940992 465849072 501683616 543490584 573352704 621132096 668911488 724654112 815235876 828176128 931698144 1003367232 1086981168 1242264192 1337822976 1449308224 1630471752 1863396288 2006734464 2173962336 2484528384 2898616448 3260943504 3726792576 4013468928 4347924672 5797232896 6521887008 7453585152 8695849344 13043774016 17391698688 26087548032 52175096064 61926820201 123853640402 185780460603 247707280804 371560921206 433487741407 495414561608 557341381809 743121842412 805048662613 866975482814 990829123216 1114682763618 1300463224221 1486243684824 1610097325226 1733950965628 1981658246432 2229365527236 2415145987839 2600926448442 2972487369648 3220194650452 3467901931256 3901389672663 3963316492864 4458731054472 4830291975678 5201852896884 5635340638291 5944974739296 6440389300904 6935803862512 7245437963517 7802779345326 7926632985728 8917462108944 9660583951356 10403705793768 11270681276582 11889949478592 12880778601808 13871607725024 14490875927034 15605558690652 15853265971456 16906021914873 17834924217888 19321167902712 20807411587536 22541362553164 23779898957184 25761557203616 27743215450048 28981751854068 31211117381304 33812043829746 35669848435776 38642335805424 41614823175072 45082725106328 47559797914368 50718065744619 51523114407232 55486430900096 57963503708136 62422234762608 67624087659492 71339696871552 77284671610848 83229646350144 90165450212656 101436131489238 103046228814464 110972861800192 115927007416272 124844469525216 135248175318984 142679393743104 154569343221696 166459292700288 180330900425312 202872262978476 206092457628928 231854014832544 249688939050432 270496350637968 309138686443392 332918585400576 360661800850624 405744525956952 463708029665088 499377878100864 540992701275936 618277372886784 721323601701248 811489051913904 927416059330176 998755756201728 1081985402551872 1442647203402496 1622978103827808 1854832118660352 2163970805103744 3245956207655616 4327941610207488 6491912415311232 12983824830622464
• Sum of all divisors σ(n): 46074730208536848
• Sum of proper divisors (its aliquot sum) s(n): 33090905377914384
• 12983824830622464 is an abundant number, because the sum of its proper divisors (33090905377914384) is greater than itself. Its abundance is 20107080547291920

Bases of 12983824830622464

• Binary: 101110001000001011100001001010110110101110101100000000₂
• Hexadecimal: 0x2E20B84ADAEB00
• Base-36: 3JUDQS7Q9S0

Squares and roots of 12983824830622464

• 12983824830622464 squared (12983824830622464²) is 168579707232288455978349701431296
• 12983824830622464 cubed (12983824830622464³) is 2188809388701652231336697997328855012431410233344
• The square root of 12983824830622464 is 113946587.6216680041
• The cube root of 12983824830622464 is 235035.9071773157

Scales and comparisons

• 12,983,824,830,622,464 seconds is equal to 412,845,468 years, 2 days, 10 hours, 14 minutes, 24 seconds.
• To count from 1 to 12,983,824,830,622,464 would take you about one billion, two hundred thirty-eight million, five hundred thirty-six thousand, four hundred four 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 12983824830622464 cubic inches would be around 19586.3 feet tall.

Recreational maths with 12983824830622464

• 12983824830622464 backwards is 46422603842838921
• 12983824830622464 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12983824830622464's digits is 72
• More coming soon!