138133993916871031914

Names of 138133993916871031914

• Cardinal: 138133993916871031914 can be written as One hundred thirty-eight quintillion, one hundred thirty-three quadrillion, nine hundred ninety-three trillion, nine hundred sixteen billion, eight hundred seventy-one million, thirty-one thousand, nine hundred fourteen.

Scientific notation

• Scientific notation: 1.38133993916871031914 × 10²⁰

Factors of 138133993916871031914

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 42

Divisors of 138133993916871031914

• Number of divisors d(n): 260
• Complete list of divisors:
  1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 729 999 1369 1458 1998 2187 2738 2997 4107 4374 5994 6561 8214 8991 12321 13122 17982 19683 24642 26973 36963 39366 50653 53946 59049 73926 80919 101306 110889 118098 151959 161838 177147 221778 242757 303918 332667 354294 455877 485514 531441 665334 728271 911754 998001 1062882 1367631 1456542 1874161 1996002 2184813 2735262 2994003 3748322 4102893 4369626 5622483 5988006 6554439 8205786 8982009 11244966 12308679 13108878 16867449 17964018 19663317 24617358 26946027 33734898 36926037 39326634 50602347 53892054 69343957 73852074 80838081 101204694 110778111 138687914 151807041 161676162 208031871 221556222 242514243 303614082 332334333 416063742 455421123 485028486 624095613 664668666 727542729 910842246 997002999 1248191226 1366263369 1455085458 1872286839 1994005998 2565726409 2732526738 2991008997 3744573678 4098790107 5131452818 5616860517 5982017994 7697179227 8197580214 8973026991 11233721034 12296370321 15394358454 16850581551 17946053982 23091537681 24592740642 26919080973 33701163102 36889110963 46183075362 50551744653 53838161946 69274613043 73778221926 94931877133 101103489306 110667332889 138549226086 151655233959 189863754266 207823839129 221334665778 284795631399 303310467918 332001998667 415647678258 454965701877 569591262798 623471517387 664003997334 854386894197 909931403754 996005996001 1246943034774 1364897105631 1708773788394 1870414552161 1992011992002 2563160682591 2729794211262 3512479453921 3740829104322 4094691316893 5126321365182 5611243656483 7024958907842 7689482047773 8189382633786 10537438361763 11222487312966 12284073950679 15378964095546 16833730969449 21074876723526 23068446143319 24568147901358 31612315085289 33667461938898 36852221852037 46136892286638 50501192908347 63224630170578 69205338429957 73704443704074 94836945255867 101002385816694 129961739795077 138410676859914 151503578725041 189673890511734 207616015289871 259923479590154 284510835767601 303007157450082 389885219385231 415232030579742 454510736175123 569021671535202 622848045869613 779770438770462 853532507302803 909021472350246 1169655658155693 1245696091739226 1363532208525369 1707065014605606 1868544137608839 2339311316311386 2560597521908409 2727064417050738 3508966974467079 3737088275217678 5121195043816818 5605632412826517 7017933948934158 7681792565725227 10526900923401237 11211264825653034 15363585131450454 16816897238479551 21053801846802474 23045377697175681 31580702770203711 33633794476959102 46090755394351362 50450691715438653 63161405540407422 69136133091527043 94742108310611133 100901383430877306 138272266183054086 189484216621222266 207408399274581129 284226324931833399 414816798549162258 568452649863666798 622225197823743387 852678974795500197 1244450395647486774 1705357949591000394 1866675593471230161 2558036924386500591 3733351186942460322 5116073848773001182 7674110773159501773 15348221546319003546 23022332319478505319 46044664638957010638 69066996958435515957 138133993916871031914
• Sum of all divisors σ(n): 319434660575082010794
• Sum of proper divisors (its aliquot sum) s(n): 181300666658210978880
• 138133993916871031914 is an abundant number, because the sum of its proper divisors (181300666658210978880) is greater than itself. Its abundance is 43166672741339946966

Bases of 138133993916871031914

• Binary: 1110111110011111110100001111001101000100101000100010011110001101010₂
• Hexadecimal: 0x77CFE879A25113C6A
• Base-36: T5H6M5ZBC5WMI

Squares and roots of 138133993916871031914

• 138133993916871031914 squared (138133993916871031914²) is 19081000275426163249274994367043206503396
• 138133993916871031914 cubed (138133993916871031914³) is 2635734775973532118773513841448773015505099560020086265379944
• The square root of 138133993916871031914 is 11753041900.5834839197
• The cube root of 138133993916871031914 is 5169321.2561663259

Scales and comparisons

• 138,133,993,916,871,031,914 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,133,993,916,871,031,914 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 138133993916871031914 cubic inches would be around 430776.8 feet tall.

Recreational maths with 138133993916871031914

• 138133993916871031914 backwards is 419130178619399331831
• The number of decimal digits it has is: 21
• The sum of 138133993916871031914's digits is 90
• More coming soon!