13729882305984

Names of 13729882305984

• Cardinal: 13729882305984 can be written as Thirteen trillion, seven hundred twenty-nine billion, eight hundred eighty-two million, three hundred five thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.3729882305984 × 10¹³

Factors of 13729882305984

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 4774

Divisors of 13729882305984

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 138 156 169 184 192 208 276 299 312 338 368 416 507 529 552 598 624 676 736 832 897 1014 1058 1104 1196 1248 1352 1472 1587 1794 2028 2116 2197 2208 2392 2496 2704 3174 3588 3887 4056 4232 4394 4416 4733 4784 5408 6348 6591 6877 7176 7774 8112 8464 8788 9466 9568 10816 11661 12696 13182 13754 14199 14352 15548 16224 16928 17576 18932 19136 20631 23322 25392 26364 27508 28398 28561 28704 31096 32448 33856 35152 37864 41262 46644 50531 50784 52728 55016 56796 57122 57408 61529 62192 70304 75728 82524 85683 89401 93288 101062 101568 105456 108859 110032 113592 114244 123058 124384 140608 151456 151593 165048 171366 178802 184587 186576 202124 210912 217718 220064 227184 228488 246116 248768 268203 302912 303186 326577 330096 342732 357604 369174 373152 404248 421824 435436 440128 454368 456976 492232 536406 606372 653154 656903 660192 685464 715208 738348 746304 799877 808496 870872 908736 913952 984464 1072812 1162213 1212744 1306308 1313806 1320384 1370928 1415167 1430416 1476696 1599754 1616992 1741744 1827904 1968928 1970709 2145624 2324426 2399631 2425488 2503757 2612616 2627612 2741856 2830334 2860832 2953392 3199508 3233984 3483488 3486639 3937856 3941418 4245501 4291248 4648852 4799262 4850976 5007514 5225232 5255224 5483712 5660668 5721664 5906784 6399016 6966976 6973278 7511271 7882836 8491002 8582496 9297704 9598524 9701952 10015028 10398401 10450464 10510448 11321336 11813568 12798032 13946556 15022542 15108769 15765672 16982004 17164992 18397171 18595408 19197048 20030056 20796802 20900928 21020896 22642672 25596064 27893112 30045084 30217538 31195203 31531344 32548841 33964008 36794342 37190816 38394096 40060112 41593604 42041792 45285344 45326307 51192128 55191513 55786224 60090168 60435076 62390406 63062688 65097682 67928016 73588684 74381632 76788192 80120224 83187208 90570688 90652614 97646523 110383026 111572448 120180336 120870152 124780812 126125376 130195364 135179213 135856032 147177368 153576384 160240448 166374416 181305228 195293046 220766052 223144896 239163223 240360672 241740304 249561624 260390728 270358426 271712064 294354736 332748832 362610456 390586092 405537639 423134933 441532104 478326446 480721344 483480608 499123248 520781456 540716852 588709472 665497664 717489669 725220912 781172184 811075278 846269866 883064208 956652892 966961216 998246496 1041562912 1081433704 1177418944 1269404799 1434979338 1450441824 1562344368 1622150556 1692539732 1766128416 1913305784 1996492992 2083125824 2162867408 2538809598 2869958676 2900883648 3109121899 3124688736 3244301112 3385079464 3532256832 3826611568 4325734816 5077619196 5500754129 5739917352 6218243798 6249377472 6488602224 6770158928 7653223136 8651469632 9327365697 10155238392 11001508258 11479834704 12436487596 12977204448 13540317856 15306446272 16502262387 18654731394 20310476784 22003016516 22959669408 24872975192 25954408896 27080635712 33004524774 37309462788 40620953568 44006033032 45919338816 49745950384 66009049548 71509803677 74618925576 81241907136 88012066064 99491900768 132018099096 143019607354 149237851152 176024132128 198983801536 214529411031 264036198192 286039214708 298475702304 352048264256 429058822062 528072396384 572078429416 596951404608 858117644124 1056144792768 1144156858832 1716235288248 2288313717664 3432470576496 4576627435328 6864941152992 13729882305984
• Sum of all divisors σ(n): 41148256937256
• Sum of proper divisors (its aliquot sum) s(n): 27418374631272
• 13729882305984 is an abundant number, because the sum of its proper divisors (27418374631272) is greater than itself. Its abundance is 13688492325288

Bases of 13729882305984

• Binary: 11000111110010111100110000011111010111000000₂
• Hexadecimal: 0xC7CBCC1F5C0
• Base-36: 4V7F5FH6O

Squares and roots of 13729882305984

• 13729882305984 squared (13729882305984²) is 188509668136172521402208256
• 13729882305984 cubed (13729882305984³) is 2588215557049750945473406683039083003904
• The square root of 13729882305984 is 3705385.5812835457
• The cube root of 13729882305984 is 23945.4096650071

Scales and comparisons

• 13,729,882,305,984 seconds is equal to 436,567 years, 40 weeks, 6 days, 20 hours, 6 minutes, 24 seconds.
• To count from 1 to 13,729,882,305,984 would take you about one million, ninety-one thousand, four hundred nineteen 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 13729882305984 cubic inches would be around 1995.5 feet tall.

Recreational maths with 13729882305984

• 13729882305984 backwards is 48950328892731
• 13729882305984 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13729882305984's digits is 69
• More coming soon!