40987513824768

Names of 40987513824768

• Cardinal: 40987513824768 can be written as Forty trillion, nine hundred eighty-seven billion, five hundred thirteen million, eight hundred twenty-four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.0987513824768 × 10¹³

Factors of 40987513824768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 763

Divisors of 40987513824768

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 751 756 768 864 896 1008 1152 1344 1502 1512 1536 1728 1792 2016 2253 2304 2688 3004 3024 3456 3584 4032 4506 4608 5257 5376 6008 6048 6759 6912 8064 9012 10514 10752 12016 12096 13518 13824 15771 16128 18024 20277 21028 24032 24192 27036 31542 32256 36048 40554 42056 47313 48064 48384 54072 63084 72096 81108 84112 94626 96128 96768 108144 126168 141939 144192 162216 168224 189252 192256 216288 252336 283878 288384 324432 336448 378504 384512 432576 504672 564001 567756 576768 648864 672896 757008 865152 1009344 1128002 1135512 1153536 1297728 1345792 1514016 1692003 1730304 2018688 2256004 2271024 2595456 2691584 3028032 3384006 3460608 3948007 4037376 4512008 4542048 5076009 5190912 6056064 6768012 7896014 8074752 9024016 9084096 10152018 10381824 11844021 12112128 13536024 15228027 15792028 18048032 18168192 20304036 23688042 24224256 27072048 30456054 31584056 35532063 36096064 36336384 40608072 47376084 54144096 60912108 63168112 71064126 72192128 72672768 81216144 94752168 106596189 108288192 121824216 126336224 142128252 144384256 162432288 189504336 213192378 216576384 243648432 252672448 284256504 288768512 324864576 379008672 423564751 426384756 433152768 487296864 505344896 568513008 649729152 758017344 847129502 852769512 866305536 974593728 1010689792 1137026016 1270694253 1299458304 1516034688 1694259004 1705539024 1949187456 2021379584 2274052032 2541388506 2598916608 2964953257 3032069376 3388518008 3411078048 3812082759 3898374912 4548104064 5082777012 5929906514 6064138752 6777036016 6822156096 7624165518 7796749824 8894859771 9096208128 10165554024 11436248277 11859813028 13554072032 13644312192 15248331036 17789719542 18192416256 20331108048 22872496554 23719626056 26684579313 27108144064 27288624384 30496662072 35579439084 40662216096 45744993108 47439252112 53369158626 54216288128 54577248768 60993324144 71158878168 80053737939 81324432192 91489986216 94878504224 106738317252 108432576256 121986648288 142317756336 160107475878 162648864384 182979972432 189757008448 213476634504 216865152512 243973296576 284635512672 320214951756 325297728768 365959944864 379514016896 426953269008 487946593152 569271025344 640429903512 650595457536 731919889728 759028033792 853906538016 975893186304 1138542050688 1280859807024 1463839779456 1518056067584 1707813076032 1951786372608 2277084101376 2561719614048 2927679558912 3415626152064 4554168202752 5123439228096 5855359117824 6831252304128 10246878456192 13662504608256 20493756912384 40987513824768
• Sum of all divisors σ(n): 138843034429440
• Sum of proper divisors (its aliquot sum) s(n): 97855520604672
• 40987513824768 is an abundant number, because the sum of its proper divisors (97855520604672) is greater than itself. Its abundance is 56868006779904

Bases of 40987513824768

• Binary: 1001010100011100100110001100111010011000000000₂
• Hexadecimal: 0x25472633A600
• Base-36: EJ1EJGQO0

Squares and roots of 40987513824768

• 40987513824768 squared (40987513824768²) is 1679976289535547924210253824
• 40987513824768 cubed (40987513824768³) is 68858051392620718873345583699542337912832
• The square root of 40987513824768 is 6402149.1567104245
• The cube root of 40987513824768 is 34478.6716382895

Scales and comparisons

• 40,987,513,824,768 seconds is equal to 1,303,276 years, 8 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 40,987,513,824,768 would take you about three million, two hundred fifty-eight thousand, one hundred ninety 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 40987513824768 cubic inches would be around 2873.2 feet tall.

Recreational maths with 40987513824768

• 40987513824768 backwards is 86742831578904
• 40987513824768 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 40987513824768's digits is 72
• More coming soon!