13685523420854016

Names of 13685523420854016

• Cardinal: 13685523420854016 can be written as Thirteen quadrillion, six hundred eighty-five trillion, five hundred twenty-three billion, four hundred twenty million, eight hundred fifty-four thousand and sixteen.

Scientific notation

• Scientific notation: 1.3685523420854016 × 10¹⁶

Factors of 13685523420854016

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 467

Divisors of 13685523420854016

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 433 464 522 576 696 768 783 841 864 866 928 1044 1152 1299 1392 1566 1682 1728 1732 1856 2088 2304 2523 2598 2784 3132 3364 3456 3464 3712 3897 4176 5046 5196 5568 6264 6728 6912 6928 7424 7569 7794 8352 10092 10392 11136 11691 12528 12557 13456 13856 15138 15588 16704 20184 20784 22272 22707 23382 24389 25056 25114 26912 27712 30276 31176 33408 37671 40368 41568 45414 46764 48778 50112 50228 53824 55424 60552 62352 66816 73167 75342 80736 83136 90828 93528 97556 100224 100456 107648 110848 113013 121104 124704 146334 150684 161472 166272 181656 187056 187489 195112 200448 200912 215296 219501 226026 242208 249408 292668 301368 322944 332544 339039 363312 364153 374112 374978 390224 401824 439002 452052 484416 498816 562467 585336 602736 645888 658503 678078 726624 728306 748224 749956 780448 803648 878004 904104 968832 997632 1092459 1124934 1170672 1205472 1317006 1356156 1453248 1456612 1496448 1499912 1560896 1607296 1687401 1756008 1808208 1937664 2184918 2249868 2341344 2410944 2634012 2712312 2906496 2913224 2992896 2999824 3121792 3214592 3277377 3374802 3512016 3616416 4369836 4499736 4682688 4821888 5062203 5268024 5424624 5437181 5812992 5826448 5999648 6243584 6554754 6749604 7024032 7232832 8739672 8999472 9365376 9643776 9832131 10124406 10536048 10560437 10849248 10874362 11652896 11999296 13109508 13499208 14048064 14465664 16311543 17479344 17998944 18730752 19664262 20248812 21072096 21120874 21698496 21748724 23305792 23998592 26219016 26998416 28096128 28931328 31681311 32623086 34958688 35997888 39328524 40497624 42144192 42241748 43396992 43497448 46611584 47997184 48934629 52438032 53996832 56192256 63362622 65246172 69917376 71995776 78657048 80995248 81182737 84288384 84483496 86793984 86994896 93223168 95043933 97869258 104876064 107993664 126725244 130492344 139834752 143991552 146803887 157314096 157678249 161990496 162365474 168576768 168966992 173989792 190087866 195738516 209752128 215987328 243548211 253450488 260984688 279669504 285131799 293607774 314628192 315356498 323980992 324730948 337933984 347979584 380175732 391477032 419504256 431974656 473034747 487096422 506900976 521969376 570263598 587215548 629256384 630712996 647961984 649461896 675867968 695959168 730644633 760351464 782954064 839008512 946069494 974192844 1013801952 1043938752 1140527196 1174431096 1258512768 1261425992 1295923968 1298923792 1351735936 1391918336 1419104241 1461289266 1520702928 1565908128 1892138988 1948385688 2027603904 2087877504 2191933899 2281054392 2348862192 2354299373 2517025536 2522851984 2597847584 2703471872 2838208482 2922578532 3041405856 3131816256 3784277976 3896771376 4055207808 4175755008 4257312723 4383867798 4562108784 4572669221 4697724384 4708598746 5045703968 5195695168 5676416964 5845157064 6082811712 6263632512 7062898119 7568555952 7793542752 8110415616 8514625446 8767735596 9124217568 9145338442 9395448768 9417197492 10091407936 10391390336 11352833928 11690314128 12165623424 12527265024 13718007663 14125796238 15137111904 15587085504 17029250892 17535471192 18248435136 18290676884 18790897536 18834394984 20182815872 20782780672 21188694357 22705667856 23380628256 24331246848 27436015326 28251592476 30274223808 31174171008 34058501784 35070942384 36496870272 36581353768 37581795072 37668789968 40365631744 41154022989 42377388714 45411335712 46761256512 54872030652 56503184952 60548447616 62348342016 63566083071 68117003568 68274681817 70141884768 72993740544 73162707536 75337579936 82308045978 84754777428 90822671424 93522513024 109744061304 113006369904 121096895232 123462068967 127132166142 136234007136 136549363634 140283769536 146325415072 150675159872 164616091956 169509554856 181645342848 187045026048 204824045451 219488122608 226012739808 246924137934 254264332284 272468014272 273098727268 280567539072 292650830144 301350319744 329232183912 339019109712 363290685696 409648090902 438976245216 452025479616 493848275868 508528664568 544936028544 546197454536 561135078144 585301660288 602700639488 614472136353 658464367824 678038219424 819296181804 877952490432 904050959232 987696551736 1017057329136 1089872057088 1092394909072 1170603320576 1228944272706 1316928735648 1356076438848 1638592363608 1755904980864 1808101918464 1843416409059 1975393103472 1979965772693 2034114658272 2184789818144 2457888545412 2633857471296 2712152877696 3277184727216 3511809961728 3686832818118 3950786206944 3959931545386 4068229316544 4369579636288 4915777090824 5267714942592 5424305755392 5939897318079 6554369454432 7373665636236 7901572413888 7919863090772 8136458633088 8739159272576 9831554181648 10535429885184 11879794636158 13108738908864 14747331272472 15803144827776 15839726181544 16272917266176 17478318545152 17819691954237 19663108363296 23759589272316 26217477817728 29494662544944 31606289655552 31679452363088 35639383908474 39326216726592 47519178544632 52434955635456 53459075862711 58989325089888 63358904726176 71278767816948 78652433453184 95038357089264 106918151725422 117978650179776 126717809452352 142557535633896 157304866906368 190076714178528 213836303450844 235957300359552 253435618904704 285115071267792 380153428357056 427672606901688 471914600719104 506871237809408 570230142535584 760306856714112 855345213803376 1140460285071168 1520613713428224 1710690427606752 2280920570142336 3421380855213504 4561841140284672 6842761710427008 13685523420854016
• Sum of all divisors σ(n): 42012843495504000
• Sum of proper divisors (its aliquot sum) s(n): 28327320074649984
• 13685523420854016 is an abundant number, because the sum of its proper divisors (28327320074649984) is greater than itself. Its abundance is 14641796653795968

Bases of 13685523420854016

• Binary: 110000100111101110100100111010000100001011011100000000₂
• Hexadecimal: 0x309EE93A10B700
• Base-36: 3QR42NZ16O0

Squares and roots of 13685523420854016

• 13685523420854016 squared (13685523420854016²) is 187293551302743808338838783328256
• 13685523420854016 cubed (13685523420854016³) is 2563210282928623588790533521065454778138383876096
• The square root of 13685523420854016 is 116985141.8807278107
• The cube root of 13685523420854016 is 239195.9401147761

Scales and comparisons

• 13,685,523,420,854,016 seconds is equal to 435,157,312 years, 35 weeks, 2 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 13,685,523,420,854,016 would take you about one billion, three hundred five million, four hundred seventy-one thousand, nine hundred thirty-eight 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 13685523420854016 cubic inches would be around 19933 feet tall.

Recreational maths with 13685523420854016

• 13685523420854016 backwards is 61045802432558631
• The number of decimal digits it has is: 17
• The sum of 13685523420854016's digits is 63
• More coming soon!