135585948087261504

Names of 135585948087261504

• Cardinal: 135585948087261504 can be written as One hundred thirty-five quadrillion, five hundred eighty-five trillion, nine hundred forty-eight billion, eighty-seven million, two hundred sixty-one thousand, five hundred four.

Scientific notation

• Scientific notation: 1.35585948087261504 × 10¹⁷

Factors of 135585948087261504

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1919345

Divisors of 135585948087261504

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 64 72 82 84 96 112 123 126 144 164 168 192 224 246 252 287 288 328 336 369 448 492 504 574 576 656 672 738 861 984 1008 1148 1312 1344 1476 1722 1968 2016 2296 2583 2624 2952 3444 3936 4032 4592 5166 5904 6888 7872 9184 10332 11808 13776 18368 20664 23616 27552 41328 55104 82656 165312 642253 1277039 1284506 1926759 2554078 2569012 3831117 3853518 4495771 5108156 5138024 5780277 7662234 7707036 8939273 8991542 10216312 10276048 11493351 11560554 13487313 15324468 15414072 17878546 17983084 20432624 20552096 22986702 23121108 26332373 26817819 26974626 30648936 30828144 35757092 35966168 40461939 40865248 41104192 45973404 46242216 52358599 52664746 53635638 53949252 61297872 61656288 71514184 71932336 78997119 80453457 80923878 81730496 91946808 92484432 104717198 105329492 107271276 107898504 122595744 123312576 143028368 143864672 157075797 157994238 160906914 161847756 183893616 184326611 184968864 209434396 210658984 214542552 215797008 236991357 245191488 286056736 287729344 314151594 315988476 321813828 323695512 366510193 367787232 368653222 369937728 418868792 421317968 429085104 431594016 471227391 473982714 552979833 572113472 628303188 631976952 643627656 647391024 733020386 735574464 737306444 837737584 842635936 858170208 863188032 942454782 947965428 1099530579 1105959666 1256606376 1263953904 1287255312 1294782048 1466040772 1474612888 1658939499 1675475168 1685271872 1716340416 1884909564 1895930856 2199061158 2211919332 2513212752 2527907808 2574510624 2589564096 2932081544 2949225776 3298591737 3317878998 3350950336 3769819128 3791861712 4398122316 4423838664 5026425504 5055815616 5149021248 5864163088 5898451552 6597183474 6635757996 7539638256 7583723424 8796244632 8847677328 10052851008 11728326176 11796903104 13194366948 13271515992 15079276512 15167446848 17592489264 17695354656 23456652352 26388733896 26543031984 30158553024 35184978528 35390709312 52777467792 53086063968 70369957056 105554935584 106172127936 211109871168 820182128867 1640364257734 2460546386601 3280728515468 4921092773202 5741274902069 6561457030936 7381639159803 9842185546404 11482549804138 13122914061872 14763278319606 17223824706207 19684371092808 22965099608276 26245828123744 29526556639212 33627467283547 34447649412414 39368742185616 45930199216552 51671474118621 52491656247488 59053113278424 67254934567094 68895298824828 78737484371232 91860398433104 100882401850641 103342948237242 118106226556848 134509869134188 137790597649656 157474968742464 183720796866208 201764803701282 206685896474484 235392270984829 236212453113696 269019738268376 275581195299312 302647205551923 367441593732416 403529607402564 413371792948968 470784541969658 472424906227392 538039476536752 551162390598624 605294411103846 706176812954487 807059214805128 826743585897936 941569083939316 1076078953073504 1102324781197248 1210588822207692 1412353625908974 1614118429610256 1653487171795872 1883138167878632 2118530438863461 2152157906147008 2421177644415384 2824707251817948 3228236859220512 3306974343591744 3766276335757264 4237060877726922 4842355288830768 5649414503635896 6456473718441024 7532552671514528 8474121755453844 9684710577661536 11298829007271792 15065105343029056 16948243510907688 19369421155323072 22597658014543584 33896487021815376 45195316029087168 67792974043630752 135585948087261504
• Sum of all divisors σ(n): 454985618140085760
• Sum of proper divisors (its aliquot sum) s(n): 319399670052824256
• 135585948087261504 is an abundant number, because the sum of its proper divisors (319399670052824256) is greater than itself. Its abundance is 183813721965562752

Bases of 135585948087261504

• Binary: 111100001101100101011001110010000010001101001100101000000₂
• Hexadecimal: 0x1E1B2B390469940
• Base-36: 11317GNXPSG0

Squares and roots of 135585948087261504

• 135585948087261504 squared (135585948087261504²) is 18383549318721571495106154080342016
• 135585948087261504 cubed (135585948087261504³) is 2492550963587794581623564947523732048297549150552064
• The square root of 135585948087261504 is 368219972.4176589311
• The cube root of 135585948087261504 is 513733.9032649759

Scales and comparisons

• 135,585,948,087,261,504 seconds is equal to 4,311,213,754 years, 15 weeks, 4 days, 12 hours, 38 minutes, 24 seconds.
• To count from 1 to 135,585,948,087,261,504 would take you about twelve billion, nine hundred thirty-three million, six hundred forty-one thousand, two hundred sixty-two 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 135585948087261504 cubic inches would be around 42811.2 feet tall.

Recreational maths with 135585948087261504

• 135585948087261504 backwards is 405162780849585531
• The number of decimal digits it has is: 18
• The sum of 135585948087261504's digits is 81
• More coming soon!