135948307320372112

Names of 135948307320372112

• Cardinal: 135948307320372112 can be written as One hundred thirty-five quadrillion, nine hundred forty-eight trillion, three hundred seven billion, three hundred twenty million, three hundred seventy-two thousand, one hundred twelve.

Scientific notation

• Scientific notation: 1.35948307320372112 × 10¹⁷

Factors of 135948307320372112

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 29220

Divisors of 135948307320372112

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 4 8 16 17 29 34 58 68 116 136 232 272 389 464 493 778 907 986 1556 1814 1879 1972 3112 3628 3758 3944 6224 6613 7256 7516 7888 11281 13226 14512 15032 15419 22562 25997 26303 26452 30064 30838 31943 45124 51994 52606 52904 54491 61676 63886 90248 103988 105212 105808 108982 123352 127772 180496 191777 207976 210424 217964 246704 255544 352823 383554 415952 420848 435928 441949 447151 511088 705646 730931 753913 767108 871856 883898 894302 926347 1411292 1461862 1507826 1534216 1704253 1767796 1788604 1852694 2822584 2923724 3015652 3068432 3408506 3535592 3577208 3705388 5645168 5847448 5997991 6031304 6817012 7071184 7154416 7410776 10112833 10231867 11694896 11995982 12062608 12425827 12816521 13634024 14821552 20225666 20463734 21196999 23579279 23991964 24851654 25633042 27268048 28972301 40451332 40927468 42393998 47158558 47983928 48848363 49423337 49703308 51266084 57944602 80902664 81854936 84787996 94317116 95967856 97696726 98846674 99406616 102532168 115889204 161805328 163709872 169575992 171918161 173941739 188634232 195393452 197693348 198813232 205064336 231778408 293272157 339151984 343836322 347883478 360348983 377268464 390786904 395386696 400847743 463556816 586544314 662954417 683799091 687672644 695766956 720697966 781573808 790773392 801695486 830422171 840196729 1173088628 1325908834 1367598182 1375345288 1391533912 1416602527 1441395932 1603390972 1660844342 1680393458 2346177256 2651817668 2735196364 2750690576 2783067824 2833205054 2882791864 3206781944 3321688684 3360786916 4692354512 4985626669 5303635336 5470392728 5666410108 5765583728 6413563888 6643377368 6721573832 9172339531 9971253338 10607270672 10940785456 11270225089 11332820216 11624584547 13286754736 13443147664 18344679062 19002013207 19225678093 19942506676 22540450178 22665640432 23249169094 24082242959 36689358124 38004026414 38451356186 39885013352 44305465241 45080900356 46498338188 48164485918 73378716248 76008052828 76902712372 79770026704 88610930482 90161800712 92996676376 96328971836 146757432496 152016105656 153805424744 155929772027 177221860964 180323601424 185993352752 192657943672 265997846399 304032211312 307610849488 311859544054 323034224519 326836527581 354443721928 385315887344 531995692798 551058383003 623719088108 646068449038 653673055162 708887443856 753192909097 1063991385596 1102116766006 1247438176216 1284858491989 1292136898076 1307346110324 1506385818194 2127982771192 2204233532012 2494876352432 2569716983978 2584273796152 2614692220648 3012771636388 4255965542384 4408467064024 4521963388783 5139433967956 5168547592304 5229384441296 6025543272776 8816934128048 9043926777566 9367992511051 10278867935912 12051086545552 17234825978749 18087853555132 18735985022102 20557735871824 21842594363813 34469651957498 36175707110264 37471970044204 43685188727626 68939303914996 72351414220528 74943940088408 87370377455252 137878607829992 149887880176816 174740754910504 275757215659984 292992041638733 349481509821008 499809953383721 585984083277466 999619906767442 1171968166554932 1999239813534884 2343936333109864 3998479627069768 4687872666219728 7996959254139536 8496769207523257 16993538415046514 33987076830093028 67974153660186056 135948307320372112
• Sum of all divisors σ(n): 289736825781312000
• Sum of proper divisors (its aliquot sum) s(n): 153788518460939888
• 135948307320372112 is an abundant number, because the sum of its proper divisors (153788518460939888) is greater than itself. Its abundance is 17840211140567776

Bases of 135948307320372112

• Binary: 111100010111111000100001111100101101001010111101110010000₂
• Hexadecimal: 0x1E2FC43E5A57B90
• Base-36: 116LNI759SWG

Squares and roots of 135948307320372112

• 135948307320372112 squared (135948307320372112²) is 18481942263274341575467058147340544
• 135948307320372112 cubed (135948307320372112³) is 2512588766684993890471720135343292314349305264508928
• The square root of 135948307320372112 is 368711685.9015619971
• The cube root of 135948307320372112 is 514191.1547594567

Scales and comparisons

• 135,948,307,320,372,112 seconds is equal to 4,322,735,657 years, 3 weeks, 1 day, 23 hours, 21 minutes, 52 seconds.
• To count from 1 to 135,948,307,320,372,112 would take you about twelve billion, nine hundred sixty-eight million, two hundred six thousand, nine hundred seventy-one 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 135948307320372112 cubic inches would be around 42849.3 feet tall.

Recreational maths with 135948307320372112

• 135948307320372112 backwards is 211273023703849531
• The number of decimal digits it has is: 18
• The sum of 135948307320372112's digits is 61
• More coming soon!