34741792009809216

Names of 34741792009809216

• Cardinal: 34741792009809216 can be written as Thirty-four quadrillion, seven hundred forty-one trillion, seven hundred ninety-two billion, nine million, eight hundred nine thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 3.4741792009809216 × 10¹⁶

Factors of 34741792009809216

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 23966405

Divisors of 34741792009809216

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 107 129 144 172 192 214 258 288 321 344 387 428 516 547 576 642 688 774 856 963 1032 1094 1284 1376 1548 1641 1712 1926 2064 2188 2568 2752 3096 3282 3424 3852 4128 4376 4601 4923 5136 6192 6564 6848 7704 8256 8752 9202 9846 10272 12384 13128 13803 15408 17504 18404 19692 20544 23521 24768 26256 27606 30816 35008 36808 39384 41409 47042 52512 55212 58529 61632 70563 73616 78768 82818 94084 105024 110424 117058 141126 147232 157536 165636 175587 188168 211689 220848 234116 282252 294464 315072 331272 351174 376336 423378 441696 468232 526761 564504 662544 702348 752672 846756 883392 936464 1053522 1129008 1325088 1404696 1505344 1693512 1872928 2107044 2258016 2516747 2650176 2809392 3387024 3745856 4214088 4516032 5033494 5618784 6774048 7550241 8428176 10066988 11237568 13548096 15100482 16856352 20133976 22650723 23965703 30200964 33712704 40267952 45301446 47931406 60401928 71897109 80535904 90602892 95862812 120803856 143794218 161071808 181205784 191725624 215691327 241607712 287588436 362411568 383451248 431382654 483215424 575176872 724823136 766902496 862765308 1030525229 1150353744 1449646272 1533804992 1725530616 2061050458 2300707488 2564330221 3091575687 3451061232 4122100916 4601414976 5128660442 6183151374 6902122464 7692990663 8244201832 9274727061 10257320884 12366302748 13109239541 13804244928 15385981326 16488403664 18549454122 20514641768 23078971989 24732605496 26218479082 30771962652 32976807328 37098908244 39327718623 41029283536 46157943978 49465210992 52436958164 61543925304 65953614656 74197816488 78655437246 82058567072 92315887956 98930421984 104873916328 110266199503 117983155869 123087850608 148395632976 157310874492 164117134144 184631775912 197860843968 209747832656 220532399006 235966311738 246175701216 296791265952 314621748984 330798598509 369263551824 419495665312 441064798012 471932623476 492351402432 563697300263 593582531904 629243497968 661597197018 738527103648 838991330624 882129596024 943865246952 992395795527 1127394600526 1258486995936 1323194394036 1402688630887 1477054207296 1691091900789 1764259192048 1887730493904 1984791591054 2254789201052 2516973991872 2646388788072 2805377261774 3382183801578 3528518384096 3775460987808 3969583182108 4208065892661 4509578402104 5073275702367 5292777576144 5610754523548 6764367603156 7057036768192 7550921975616 7939166364216 8416131785322 9019156804208 10146551404734 10585555152288 11221509047096 12624197677983 13528735206312 15878332728432 16832263570644 18038313608416 20293102809468 21171110304576 22443018094192 25248395355966 27057470412624 31756665456864 33664527141288 36076627216832 40586205618936 44886036188384 50496790711932 54114940825248 60315611128141 63513330913728 67329054282576 81172411237872 89772072376768 100993581423864 108229881650496 120631222256282 134658108565152 162344822475744 180946833384423 201987162847728 241262444512564 269316217130304 324689644951488 361893666768846 403974325695456 482524889025128 542840500153269 723787333537692 807948651390912 965049778050256 1085681000306538 1447574667075384 1930099556100512 2171362000613076 2895149334150768 3860199112201024 4342724001226152 5790298668301536 8685448002452304 11580597336603072 17370896004904608 34741792009809216
• Sum of all divisors σ(n): 103037248967837184
• Sum of proper divisors (its aliquot sum) s(n): 68295456958027968
• 34741792009809216 is an abundant number, because the sum of its proper divisors (68295456958027968) is greater than itself. Its abundance is 33553664948218752

Bases of 34741792009809216

• Binary: 1111011011011010111100111001011100110101110110101000000₂
• Hexadecimal: 0x7B6D79CB9AED40
• Base-36: 9I2XQX05HS0

Squares and roots of 34741792009809216

• 34741792009809216 squared (34741792009809216²) is 1206992112052843484006364718534656
• 34741792009809216 cubed (34741792009809216³) is 41933068914420227667326994876280540442437644189696
• The square root of 34741792009809216 is 186391501.9785215851
• The cube root of 34741792009809216 is 326300.2490889001

Scales and comparisons

• 34,741,792,009,809,216 seconds is equal to 1,104,681,522 years, 25 weeks, 4 days, 14 hours, 33 minutes, 36 seconds.
• To count from 1 to 34,741,792,009,809,216 would take you about three billion, three hundred fourteen million, forty-four thousand, five hundred sixty-seven 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 34741792009809216 cubic inches would be around 27191.7 feet tall.

Recreational maths with 34741792009809216

• 34741792009809216 backwards is 61290890029714743
• 34741792009809216 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34741792009809216's digits is 72
• More coming soon!