138393979617414474

Names of 138393979617414474

• Cardinal: 138393979617414474 can be written as One hundred thirty-eight quadrillion, three hundred ninety-three trillion, nine hundred seventy-nine billion, six hundred seventeen million, four hundred fourteen thousand, four hundred seventy-four.

Scientific notation

• Scientific notation: 1.38393979617414474 × 10¹⁷

Factors of 138393979617414474

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 2314

Divisors of 138393979617414474

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 6 9 18 19 23 38 41 46 57 69 82 114 123 138 171 207 246 342 349 369 414 437 698 738 779 874 943 1047 1311 1558 1877 1886 2094 2337 2622 2829 3141 3754 3933 4674 5631 5658 6282 6631 7011 7866 8027 8487 11262 13262 14022 14309 16054 16893 16974 17917 19893 24081 28618 33786 35663 35834 39786 42927 43171 48162 53751 59679 71326 72243 76957 85854 86342 106989 107502 119358 121801 128781 129513 144486 152513 153914 161253 213978 230871 243602 257562 259026 271871 305026 320967 322506 329107 365403 388539 457539 461742 543742 641934 655073 658214 692613 730806 777078 815613 820249 915078 987321 1096209 1310146 1372617 1385226 1462183 1631226 1640498 1770011 1965219 1974642 2192418 2314219 2446839 2460747 2745234 2801423 2924366 2961963 3523129 3540022 3930438 4386549 4628438 4893678 4921494 4993841 5310033 5602846 5895657 5923926 6253033 6942657 7046258 7382241 8404269 8773098 9987682 10569387 10620066 11791314 12446387 12506066 13159647 13885314 14764482 14981523 15066679 15930099 16808538 18759099 20827971 21138774 24892774 25212807 26319294 26857993 29963046 30133358 31708161 31860198 33630209 37339161 37518198 41655942 44944569 45200037 50425614 53227037 53715986 56277297 63416322 66939451 67260418 74678322 80573979 81031967 89889138 90400074 94882979 100890627 106454074 112017483 112554594 114858343 133878902 135600111 144448289 159681111 161147958 162063934 189765958 200818353 201781254 224034966 228620477 229716686 241721937 243095901 271200222 284648937 286266901 288896578 302671881 319362222 344575029 401636706 433344867 457240954 479043333 483443874 486191802 510301867 569297874 572533802 602455059 605343762 617733839 685861431 689150058 729287703 853946811 858800703 866689734 958086666 1020603734 1033725087 1204910118 1229572021 1235467678 1300034601 1371722862 1458575406 1530905601 1539607373 1707893622 1717601406 1853201517 2057584293 2067450174 2182308517 2459144042 2576402109 2600069202 2744517491 3061811202 3079214746 3322310647 3688716063 3706403034 4115168586 4343789063 4364617034 4592716803 4618822119 5152804218 5258270971 5489034982 5559604551 6546925551 6644621294 7377432126 8233552473 8687578126 9185433606 9237644238 9373439557 9966931941 10516541942 11066148189 11119209102 11736942941 13031367189 13093851102 13856466357 15774812913 16467104946 18746879114 19640776653 19933863882 22132296378 23361868399 23473885882 24700657419 26062734378 27712932714 28120318671 28280156483 29900795823 31549625826 35210828823 39094101567 39281553306 46723736798 47324438739 49401314838 50412452861 56240637342 56560312966 59801591646 63123902293 70085605197 70421657646 78188203134 84360956013 84840469449 94648877478 99907148449 100824905722 105632486469 126247804586 140171210394 151237358583 168721912026 169680938898 178095351583 189371706879 199814296898 210256815591 211264972938 215589109811 254521408347 299721445347 302474717166 356190703166 378743413758 420513631182 429120635329 431178219622 453712075749 509042816694 534286054749 537322973177 568115120637 599442890694 646767329433 858241270658 899164336041 907424151498 957836604359 1068572109498 1074645946354 1136230241274 1159486415803 1287361905987 1293534658866 1602858164247 1611968919531 1798328672082 1915673208718 1940301988299 2318972831606 2574723811974 2873509813077 3205716328494 3223937839062 3478459247409 3862085717961 3880603976598 4096193086409 4835906758593 5747019626154 6956918494818 7724171435922 8153292071251 8192386172818 8620529439231 9671813517186 9869774612567 10435377742227 12288579259227 16306584142502 17241058878462 17593946048489 19739549225134 20870755484454 22030241900257 24459876213753 24577158518454 29609323837701 35187892096978 36865737777681 44060483800514 48919752427506 52781838145467 59218647675402 66090725700771 73379628641259 73731475555362 88827971513103 105563676290934 132181451401542 146759257282518 158345514436401 177655943026206 187525717638773 198272177102313 316691028872802 334284974921291 375051435277546 396544354204626 404660759115247 562577152916319 668569949842582 809321518230494 1002854924763873 1125154305832638 1213982277345741 1687731458748957 2005709849527746 2427964554691482 3008564774291619 3375462917497914 3641946832037223 6017129548583238 7283893664074446 7688554423189693 15377108846379386 23065663269569079 46131326539138158 69196989808707237 138393979617414474
• Sum of all divisors σ(n): 338541680176015680
• Sum of proper divisors (its aliquot sum) s(n): 200147700558601206
• 138393979617414474 is an abundant number, because the sum of its proper divisors (200147700558601206) is greater than itself. Its abundance is 61753720941186732

Bases of 138393979617414474

• Binary: 111101011101011001001011101011010001001100000110101001010₂
• Hexadecimal: 0x1EBAC975A260D4A
• Base-36: 11UOKKJHJKUI

Squares and roots of 138393979617414474

• 138393979617414474 squared (138393979617414474²) is 19152893594345332879304724704696676
• 138393979617414474 cubed (138393979617414474³) is 2650645165710336241377200679413405068978907542088424
• The square root of 138393979617414474 is 372013413.2224461527
• The cube root of 138393979617414474 is 517256.2329777393

Scales and comparisons

• 138,393,979,617,414,474 seconds is equal to 4,400,500,471 years, 7 weeks, 4 days, 20 hours, 27 minutes, 54 seconds.
• To count from 1 to 138,393,979,617,414,474 would take you about thirteen billion, two hundred one million, five hundred one thousand, four hundred thirteen 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 138393979617414474 cubic inches would be around 43104.7 feet tall.

Recreational maths with 138393979617414474

• 138393979617414474 backwards is 474414716979393831
• The number of decimal digits it has is: 18
• The sum of 138393979617414474's digits is 90
• More coming soon!