135301122428806909008

Names of 135301122428806909008

• Cardinal: 135301122428806909008 can be written as One hundred thirty-five quintillion, three hundred one quadrillion, one hundred twenty-two trillion, four hundred twenty-eight billion, eight hundred six million, nine hundred nine thousand and eight.

Scientific notation

• Scientific notation: 1.35301122428806909008 × 10²⁰

Factors of 135301122428806909008

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 19882580950713

Divisors of 135301122428806909008

• Number of divisors d(n): 240
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 157 168 172 252 258 301 314 336 344 387 471 504 516 602 628 688 774 903 942 1008 1032 1099 1204 1256 1413 1548 1806 1884 2064 2198 2408 2512 2709 2826 3096 3297 3612 3768 4396 4816 5418 5652 6192 6594 6751 7224 7536 8792 9891 10836 11304 13188 13502 14448 17584 19782 20253 21672 22608 26376 27004 39564 40506 43344 47257 52752 54008 60759 79128 81012 94514 108016 121518 141771 158256 162024 189028 243036 283542 324048 378056 425313 486072 567084 756112 850626 972144 1134168 1701252 2268336 3402504 6805008 19882580950501 39765161901002 59647742851503 79530323802004 119295485703006 139178066653507 159060647604008 178943228554509 238590971406012 278356133307014 318121295208016 357886457109018 417534199960521 477181942812024 556712266614028 715772914218036 835068399921042 854950980871543 954363885624048 1113424533228056 1252602599881563 1431545828436072 1670136799842084 1709901961743086 2226849066456112 2505205199763126 2564852942614629 2863091656872144 3121565209228657 3340273599684168 3419803923486172 5010410399526252 5129705885229258 5984656866100801 6243130418457314 6680547199368336 6839607846972344 7694558827843887 9364695627685971 10020820799052504 10259411770458516 11969313732201602 12486260836914628 13679215693944688 15389117655687774 17953970598302403 18729391255371942 20041641598105008 20518823540917032 21850956464600599 23938627464403204 24972521673829256 28094086883057913 30778235311375548 35907941196604806 37458782510743884 41037647081834064 43701912929201198 47877254928806408 49945043347658512 53861911794907209 56188173766115826 61556470622751096 65552869393801797 71815882393209612 74917565021487768 87403825858402396 95754509857612816 107723823589814418 112376347532231652 123112941245502192 131105738787603594 134227303996832251 143631764786419224 149835130042975536 174807651716804792 196658608181405391 215447647179628836 224752695064463304 262211477575207188 268454607993664502 287263529572838448 349615303433609584 393317216362810782 402681911990496753 430895294359257672 449505390128926608 524422955150414376 536909215987329004 786634432725621564 805363823980993506 861790588718515344 939591127977825757 1048845910300828752 1073818431974658008 1208045735971490259 1573268865451243128 1610727647961987012 1879182255955651514 2147636863949316016 2416091471942980518 2818773383933477271 3146537730902486256 3221455295923974024 3758364511911303028 4832182943885961036 5637546767866954542 6442910591847948048 7516729023822606056 8456320151800431813 9664365887771922072 11275093535733909084 15033458047645212112 16912640303600863626 19328731775543844144 22550187071467818168 33825280607201727252 45100374142935636336 67650561214403454504 135301122428806909008
• Sum of all divisors σ(n): 445633217723677050496
• Sum of proper divisors (its aliquot sum) s(n): 310332095294870141488
• 135301122428806909008 is an abundant number, because the sum of its proper divisors (310332095294870141488) is greater than itself. Its abundance is 175030972866063232480

Bases of 135301122428806909008

• Binary: 1110101010110101110001001011111111000110000101011000100110001010000₂
• Hexadecimal: 0x755AE25FE30AC4C50
• Base-36: SJYD117RX3LG0

Squares and roots of 135301122428806909008

• 135301122428806909008 squared (135301122428806909008²) is 18306393730494996004143979164995191544064
• 135301122428806909008 cubed (135301122428806909008³) is 2476875619359646685403186456916763405251912559000982670528512
• The square root of 135301122428806909008 is 11631901066.8422945029
• The cube root of 135301122428806909008 is 5133739.1714416061

Scales and comparisons

• 135,301,122,428,806,909,008 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 135,301,122,428,806,909,008 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 135301122428806909008 cubic inches would be around 427811.6 feet tall.

Recreational maths with 135301122428806909008

• 135301122428806909008 backwards is 800909608824221103531
• 135301122428806909008 is a Harshad number.
• The number of decimal digits it has is: 21
• The sum of 135301122428806909008's digits is 72
• More coming soon!