213023813440768

Names of 213023813440768

• Cardinal: 213023813440768 can be written as Two hundred thirteen trillion, twenty-three billion, eight hundred thirteen million, four hundred forty thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 2.13023813440768 × 10¹⁴

Factors of 213023813440768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 110660

Divisors of 213023813440768

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 8 11 16 22 32 37 41 44 64 74 82 88 121 128 148 164 176 242 256 296 328 352 407 451 484 592 656 704 814 902 968 1184 1312 1408 1517 1628 1681 1804 1936 2368 2624 2816 3034 3256 3362 3608 3872 4477 4736 4961 5248 6068 6512 6724 7216 7744 8954 9472 9922 10496 12136 13024 13448 14432 15488 16687 17908 18491 19844 24272 26048 26896 28864 30976 33374 35816 36982 39688 48544 52096 53792 57728 62197 66748 71632 73964 79376 97088 104192 107584 110569 115456 124394 133496 143264 147928 158752 183557 194176 203401 215168 221138 248788 266992 286528 295856 317504 367114 388352 406802 430336 442276 497576 533984 573056 591712 635008 684167 734228 813604 884552 995152 1067968 1146112 1183424 1216259 1270016 1368334 1468456 1627208 1769104 1990304 2135936 2366848 2432518 2736668 2936912 3254416 3538208 3980608 4091053 4271872 4533329 4733696 4865036 5473336 5873824 6508832 7076416 7525837 7961216 8182106 9066658 9730072 10946672 11747648 13017664 13378849 14152832 15051674 15922432 16364212 18133316 19460144 21893344 23495296 26035328 26757698 28305664 30103348 32728424 36266632 38920288 43786688 45001583 46990592 49866619 52070656 53515396 60206696 65456848 72533264 77840576 87573376 90003166 99733238 107030792 120413392 130913696 145066528 155681152 167733173 175146752 180006332 185866489 199466476 214061584 240826784 261827392 290133056 311362304 335466346 360012664 371732978 398932952 428123168 481653568 495017413 523654784 548532809 580266112 670932692 720025328 743465956 797865904 856246336 963307136 990034826 1047309568 1097065618 1160532224 1341865384 1440050656 1486931912 1595731808 1712492672 1845064903 1926614272 1980069652 2044531379 2194131236 2683730768 2880101312 2973863824 3191463616 3424985344 3690129806 3960139304 4089062758 4388262472 5367461536 5760202624 5947727648 6382927232 6877060093 7380259612 7920278608 8178125516 8776524944 10734923072 11520405248 11895455296 12765854464 13754120186 14760519224 15840557216 16356251032 17553049888 20295713933 21469846144 22489845169 23790910592 27508240372 29521038448 31681114432 32712502064 35106099776 40591427866 42939692288 44979690338 47581821184 55016480744 59042076896 63362228864 65425004128 70212199552 75647661023 81182855732 89959380676 110032961488 118084153792 126724457728 130850008256 140424399104 151295322046 162365711464 179918761352 220065922976 236168307584 261700016512 302590644092 324731422928 359837522704 440131845952 472336615168 523400033024 605181288184 649462845856 719675045408 832124271253 880263691904 1210362576368 1298925691712 1439350090816 1664248542506 1760527383808 2420725152736 2597851383424 2878700181632 3328497085012 4841450305472 5195702766848 5757400363264 6656994170024 9682900610944 13313988340048 19365801221888 26627976680096 53255953360192 106511906720384 213023813440768
• Sum of all divisors σ(n): 492015432213340
• Sum of proper divisors (its aliquot sum) s(n): 278991618772572
• 213023813440768 is an abundant number, because the sum of its proper divisors (278991618772572) is greater than itself. Its abundance is 65967805331804

Bases of 213023813440768

• Binary: 110000011011111001111000101110101001010100000000₂
• Hexadecimal: 0xC1BE78BA9500
• Base-36: 23IDSEESCG

Squares and roots of 213023813440768

• 213023813440768 squared (213023813440768²) is 45379145092847129211044429824
• 213023813440768 cubed (213023813440768³) is 9666838538360209514924409601613030156664832
• The square root of 213023813440768 is 14595335.3315628895
• The cube root of 213023813440768 is 59723.1517189881

Scales and comparisons

• 213,023,813,440,768 seconds is equal to 6,773,498 years, 17 weeks, 5 days, 7 hours, 19 minutes, 28 seconds.
• To count from 1 to 213,023,813,440,768 would take you about sixteen million, nine hundred thirty-three thousand, seven hundred forty-five 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 213023813440768 cubic inches would be around 4976.9 feet tall.

Recreational maths with 213023813440768

• 213023813440768 backwards is 867044318320312
• The number of decimal digits it has is: 15
• The sum of 213023813440768's digits is 52
• More coming soon!