42688984693601792

Names of 42688984693601792

• Cardinal: 42688984693601792 can be written as Forty-two quadrillion, six hundred eighty-eight trillion, nine hundred eighty-four billion, six hundred ninety-three million, six hundred one thousand, seven hundred ninety-two.

Scientific notation

• Scientific notation: 4.2688984693601792 × 10¹⁶

Factors of 42688984693601792

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 7686

Divisors of 42688984693601792

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 127 128 182 208 224 254 256 364 416 448 508 512 728 832 889 896 1016 1456 1651 1664 1778 1792 2032 2912 3302 3328 3556 3584 4064 5824 6604 6656 7112 7537 8128 11557 11648 13208 14224 15074 16129 16256 23114 23296 26416 28448 30148 32258 32512 46228 46592 52759 52832 56896 60296 64516 65024 92456 97981 105518 105664 112903 113792 120592 129032 184912 195962 209677 211036 211328 225806 227584 241184 258064 369824 391924 419354 422072 422656 451612 455168 482368 516128 685867 739648 783848 838708 844144 845312 903224 957199 964736 1032256 1371734 1467739 1479296 1567696 1677416 1688288 1806448 1914398 1929472 2064512 2743468 2935478 2958592 3135392 3354832 3376576 3612896 3828796 3858944 4129024 5486936 5870956 5917184 6270784 6700393 6709664 6753152 7225792 7657592 8258048 10973872 11741912 12443587 12541568 13400786 13419328 13506304 14451584 15315184 21947744 23483824 24887174 25083136 26801572 26838656 27012608 28903168 30630368 43895488 46967648 49774348 50166272 53603144 53677312 56806369 57806336 61260736 87105109 87790976 93935296 99548696 107206288 107354624 113612738 121564273 122521472 174210218 175581952 187870592 199097392 214412576 227225476 243128546 245042944 348420436 351163904 375741184 397644583 398194784 428825152 454450952 486257092 490085888 696840872 738482797 751482368 795289166 796389568 850949911 857650304 908901904 972514184 1393681744 1476965594 1580335549 1590578332 1592779136 1701899822 1715300608 1817803808 1945028368 2787363488 2953931188 3160671098 3181156664 3185558272 3403799644 3430601216 3635607616 3890056736 5169379579 5574726976 5907862376 6321342196 6362313328 6371116544 6807599288 7214408863 7271215232 7780113472 10338759158 11062348843 11149453952 11815724752 12642684392 12724626656 13615198576 14428817726 14542430464 15560226944 20677518316 22124697686 22298907904 23631449504 25285368784 25449253312 27230397152 28857635452 29084860928 31120453888 41355036632 44249395372 44597815808 47262899008 50500862041 50570737568 50898506624 54460794304 57715270904 62240907776 82710073264 88498790744 93787315219 94525798016 101001724082 101141475136 101797013248 108921588608 115430541808 165420146528 176997581488 187574630438 189051596032 202003448164 202282950272 203594026496 217843177216 230861083616 330840293056 353995162976 375149260876 378103192064 404006896328 404565900544 435686354432 461722167232 656511206533 661680586112 707990325952 750298521752 808013792656 809131801088 916229925601 923444334464 1313022413066 1323361172224 1415980651904 1500597043504 1616027585312 1832459851202 1846888668928 2626044826132 2646722344448 2831961303808 3001194087008 3232055170624 3664919702404 3693777337856 5252089652264 5663922607616 6002388174016 6413609479207 6464110341248 7329839404808 10504179304528 11910989032813 12004776348032 12827218958414 12928220682496 14659678809616 21008358609056 23821978065626 24009552696064 25654437916828 25856441364992 29319357619232 42016717218112 47643956131252 48019105392128 51308875833656 58638715238464 83376923229691 84033434436224 95287912262504 102617751667312 117277430476928 166753846459382 168066868872448 190575824525008 205235503334624 234554860953856 333507692918764 336133737744896 381151649050016 410471006669248 469109721907712 667015385837528 762303298100032 820942013338496 1334030771675056 1524606596200064 1641884026676992 2668061543350112 3049213192400128 3283768053353984 5336123086700224 6098426384800256 10672246173400448 21344492346800896 42688984693601792
• Sum of all divisors σ(n): 105825107458479024
• Sum of proper divisors (its aliquot sum) s(n): 63136122764877232
• 42688984693601792 is an abundant number, because the sum of its proper divisors (63136122764877232) is greater than itself. Its abundance is 20447138071275440

Bases of 42688984693601792

• Binary: 10010111101010010110011111001000011110111111011000000000₂
• Hexadecimal: 0x97A967C87BF600
• Base-36: BOBZCU1NC3K

Squares and roots of 42688984693601792

• 42688984693601792 squared (42688984693601792²) is 1822349414170568083202101865611264
• 42688984693601792 cubed (42688984693601792³) is 77794246247921573493581411474432351270291885785088
• The square root of 42688984693601792 is 206613128.0766103497
• The cube root of 42688984693601792 is 349493.1021254939

Scales and comparisons

• 42,688,984,693,601,792 seconds is equal to 1,357,377,667 years, 28 weeks, 6 days, 18 hours, 16 minutes, 32 seconds.
• To count from 1 to 42,688,984,693,601,792 would take you about four billion, seventy-two million, one hundred thirty-three thousand and two 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 42688984693601792 cubic inches would be around 29124.4 feet tall.

Recreational maths with 42688984693601792

• 42688984693601792 backwards is 29710639648988624
• The number of decimal digits it has is: 17
• The sum of 42688984693601792's digits is 92
• More coming soon!