12984407947078533

Names of 12984407947078533

• Cardinal: 12984407947078533 can be written as Twelve quadrillion, nine hundred eighty-four trillion, four hundred seven billion, nine hundred forty-seven million, seventy-eight thousand, five hundred thirty-three.

Scientific notation

• Scientific notation: 1.2984407947078533 × 10¹⁶

Factors of 12984407947078533

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 104

Divisors of 12984407947078533

• Number of divisors d(n): 324
• Complete list of divisors:
  1 3 7 9 21 41 49 53 63 123 147 159 287 343 369 371 441 477 861 1029 1113 1681 2009 2173 2401 2583 2597 2809 3087 3339 5043 6027 6519 7203 7791 8427 11767 14063 15129 15211 16807 18081 18179 19557 19663 21609 23373 25281 35301 42189 45633 50421 54537 58989 82369 89093 98441 105903 106477 115169 117649 126567 127253 136899 137641 148877 151263 163611 176967 247107 267279 295323 319431 345507 352947 381759 412923 446631 576583 623651 689087 741321 745339 801837 806183 823543 885969 890771 958293 963487 1036521 1042139 1058841 1145277 1238769 1339893 1729749 1870953 2067261 2236017 2418549 2470629 2672313 2890461 3126417 4036081 4365557 4721929 4823609 5189247 5217373 5612859 5643281 5764801 6103957 6201783 6235397 6708051 6744409 7255647 7294973 7411887 8016939 8671383 9379251 12108243 13096671 14165787 14470827 15652119 16929843 17294403 18311871 18706191 20233227 21884919 28252567 30558899 33053503 33765263 36324729 36521611 39290013 39502967 42497361 42727699 43412481 43647779 46956357 47210863 50789529 51064811 51883209 54935613 56118573 60699681 65654757 84757701 91676697 99160509 101295789 109564833 118508901 128183097 130943337 141632589 153194433 197767969 213912293 231374521 236356841 250262237 254273103 255651277 275030091 276520769 297481527 299093893 303887367 305534453 328694499 330476041 355526703 357453677 384549291 392830011 424897767 459583299 593303907 641736879 694123563 709070523 750786711 766953831 829562307 897281679 916603359 991428123 1072361031 1384375783 1497386051 1619621647 1751835659 1779911721 1789558939 1925210637 1935645383 2082370689 2093657251 2127211569 2252360133 2300861493 2313332287 2488686921 2502175739 2691845037 2749810077 2974284369 3217083093 4153127349 4492158153 4858864941 5255506977 5368676817 5806936149 6280971753 6939996861 7506527217 9690630481 10481702357 11337351529 12262849613 12459382047 12526912573 13476474459 13549517681 14576594823 14655600757 15766520931 16106030451 16193326009 17420808447 17515230173 18842915259 20819990583 22519581651 29071891443 31445107071 34012054587 36788548839 37580737719 40648553043 43966802271 48579978027 52545690519 73371916499 79361460703 85839947291 87215674329 94335321213 94846623767 102036163761 102589205299 110365646517 112742213157 121945659129 122606611211 131900406813 145739934081 157637071557 220115749497 238084382109 257519841873 284539871301 307767615897 367819833633 513603415493 555530224921 600879631037 660347248491 663926366369 714253146327 718124437093 772559525619 853619613903 858246278477 923302847691 1103459500899 1540810246479 1666590674763 1802638893111 1991779099107 2154373311279 2574738835431 3888711574447 4206157417259 4622430739437 4999772024289 5026871059651 5407916679333 5975337297321 6463119933837 7724216506293 11666134723341 12618472251777 15080613178953 27220981021129 29443101920813 34998404170023 35188097417557 37855416755331 45241839536859 81662943063387 88329305762439 105564292252671 206101713445691 244988829190161 264987917287317 316692876758013 618305140337073 1442711994119837 1854915421011219 4328135982359511 12984407947078533
• Sum of all divisors σ(n): 22859135841880260
• Sum of proper divisors (its aliquot sum) s(n): 9874727894801727
• 12984407947078533 is a deficient number, because the sum of its proper divisors (9874727894801727) is less than itself. Its deficiency is 3109680052276806

Bases of 12984407947078533

• Binary: 101110001000010100000000001111010011011110101110000101₂
• Hexadecimal: 0x2E21400F4DEB85
• Base-36: 3JUL6NW7MV9

Squares and roots of 12984407947078533

• 12984407947078533 squared (12984407947078533²) is 168594849736156163827609669432089
• 12984407947078533 cubed (12984407947078533³) is 2189104306750657206170578481801933058580793245437
• The square root of 12984407947078533 is 113949146.3200954965
• The cube root of 12984407947078533 is 235039.4256899097

Scales and comparisons

• 12,984,407,947,078,533 seconds is equal to 412,864,009 years, 15 weeks, 6 days, 11 hours, 35 minutes, 33 seconds.
• To count from 1 to 12,984,407,947,078,533 would take you about one billion, two hundred thirty-eight million, five hundred ninety-two thousand and twenty-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 12984407947078533 cubic inches would be around 19586.6 feet tall.

Recreational maths with 12984407947078533

• 12984407947078533 backwards is 33587074970448921
• The number of decimal digits it has is: 17
• The sum of 12984407947078533's digits is 81
• More coming soon!