13504734308466688

Names of 13504734308466688

• Cardinal: 13504734308466688 can be written as Thirteen quadrillion, five hundred four trillion, seven hundred thirty-four billion, three hundred eight million, four hundred sixty-six thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 1.3504734308466688 × 10¹⁶

Factors of 13504734308466688

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 223

Divisors of 13504734308466688

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 56 64 101 112 113 128 202 224 226 256 404 448 452 512 707 791 808 896 904 1024 1414 1582 1616 1792 1808 2048 2828 3164 3232 3584 3616 4096 5656 6328 6464 7168 7232 8192 10201 11312 11413 12656 12769 12928 14336 14464 16384 20402 22624 22826 25312 25538 25856 28672 28928 32768 40804 45248 45652 50624 51076 51712 57344 57856 65536 71407 79891 81608 89383 90496 91304 101248 102152 103424 114688 115712 131072 142814 159782 163216 178766 180992 182608 202496 204304 206848 229376 231424 285628 319564 326432 357532 361984 365216 404992 408608 413696 458752 462848 571256 639128 652864 715064 723968 730432 809984 817216 827392 917504 925696 1142512 1152713 1278256 1289669 1305728 1430128 1442897 1447936 1460864 1619968 1634432 1654784 1851392 2285024 2305426 2556512 2579338 2611456 2860256 2885794 2895872 2921728 3239936 3268864 3309568 3702784 4570048 4610852 5113024 5158676 5222912 5720512 5771588 5791744 5843456 6479872 6537728 6619136 7405568 8068991 9027683 9140096 9221704 10100279 10226048 10317352 10445824 11441024 11543176 11583488 11686912 12959744 13075456 13238272 14811136 16137982 18055366 18280192 18443408 20200558 20452096 20634704 20891648 22882048 23086352 23166976 23373824 25919488 26150912 32275964 36110732 36560384 36886816 40401116 40904192 41269408 41783296 45764096 46172704 46333952 46747648 51838976 52301824 64551928 72221464 73120768 73773632 80802232 81808384 82538816 83566592 91528192 92345408 92667904 93495296 103677952 104603648 129103856 130256569 144442928 145732597 146241536 147547264 161604464 163616768 165077632 167133184 183056384 184690816 186990592 209207296 258207712 260513138 288885856 291465194 292483072 295094528 323208928 327233536 330155264 334266368 366112768 369381632 373981184 418414592 516415424 521026276 577771712 582930388 584966144 590189056 646417856 654467072 660310528 668532736 732225536 738763264 747962368 836829184 911795983 1020128179 1032830848 1042052552 1155543424 1165860776 1169932288 1180378112 1292835712 1308934144 1320621056 1337065472 1464451072 1477526528 1495924736 1673658368 1823591966 2040256358 2065661696 2084105104 2311086848 2331721552 2339864576 2360756224 2585671424 2617868288 2641242112 2928902144 2955053056 3647183932 4080512716 4131323392 4168210208 4622173696 4663443104 4679729152 4721512448 5171342848 5235736576 5282484224 5857804288 5910106112 7294367864 8161025432 8262646784 8336420416 9244347392 9326886208 9359458304 9443024896 10342685696 10471473152 10564968448 11715608576 11820212224 14588735728 14718992297 16322050864 16525293568 16672840832 18488694784 18653772416 18886049792 20685371392 21129936896 23640424448 29177471456 29437984594 32644101728 33050587136 33345681664 36977389568 37307544832 37772099584 41370742784 42259873792 47280848896 58354942912 58875969188 65288203456 66101174272 66691363328 73954779136 74615089664 75544199168 82741485568 84519747584 94561697792 103032946079 116709885824 117751938376 130576406912 132202348544 133382726656 147909558272 149230179328 151088398336 165482971136 169039495168 189123395584 206065892158 233419771648 235503876752 261152813824 264404697088 266765453312 295819116544 298460358656 330965942272 412131784316 466839543296 471007753504 522305627648 528809394176 533530906624 591638233088 596920717312 661931884544 824263568632 933679086592 942015507008 1044611255296 1057618788352 1067061813248 1183276466176 1193841434624 1323863769088 1648527137264 1867358173184 1884031014016 2089222510592 2134123626496 2387682869248 3297054274528 3734716346368 3768062028032 4178445021184 4268247252992 4775365738496 6594108549056 7469432692736 7536124056064 8356890042368 8536494505984 9550731476992 13188217098112 14938865385472 15072248112128 16713780084736 17072989011968 19101462953984 26376434196224 29877730770944 30144496224256 33427560169472 52752868392448 59755461541888 60288992448512 66855120338944 105505736784896 119510923083776 120577984897024 133710240677888 211011473569792 241155969794048 422022947139584 482311939588096 844045894279168 964623879176192 1688091788558336 1929247758352384 3376183577116672 6752367154233344 13504734308466688
• Sum of all divisors σ(n): 31454855951772960
• Sum of proper divisors (its aliquot sum) s(n): 17950121643306272
• 13504734308466688 is an abundant number, because the sum of its proper divisors (17950121643306272) is greater than itself. Its abundance is 4445387334839584

Bases of 13504734308466688

• Binary: 101111111110100111101111111011001111100000000000000000₂
• Hexadecimal: 0x2FFA7BFB3E0000
• Base-36: 3OZ11ALCQV4

Squares and roots of 13504734308466688

• 13504734308466688 squared (13504734308466688²) is 182377848742277233753681605689344
• 13504734308466688 cubed (13504734308466688³) is 2462964391014179562194515479327450068009900572672
• The square root of 13504734308466688 is 116209871.8201973063
• The cube root of 13504734308466688 is 238137.9887874721

Scales and comparisons

• 13,504,734,308,466,688 seconds is equal to 429,408,778 years, 6 weeks, 2 days, 21 hours, 11 minutes, 28 seconds.
• To count from 1 to 13,504,734,308,466,688 would take you about one billion, two hundred eighty-eight million, two hundred twenty-six thousand, three hundred thirty-four 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 13504734308466688 cubic inches would be around 19844.8 feet tall.

Recreational maths with 13504734308466688

• 13504734308466688 backwards is 88666480343740531
• The number of decimal digits it has is: 17
• The sum of 13504734308466688's digits is 76
• More coming soon!