138931290985312

Names of 138931290985312

• Cardinal: 138931290985312 can be written as One hundred thirty-eight trillion, nine hundred thirty-one billion, two hundred ninety million, nine hundred eighty-five thousand, three hundred twelve.

Scientific notation

• Scientific notation: 1.38931290985312 × 10¹⁴

Factors of 138931290985312

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 486

Divisors of 138931290985312

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 71 89 98 112 142 178 196 224 284 317 343 356 392 497 568 623 634 686 712 784 994 1136 1246 1268 1372 1424 1568 1988 2219 2272 2492 2536 2744 2848 3479 3976 4361 4438 4984 5041 5072 5488 6319 6958 7921 7952 8722 8876 9968 10082 10144 10976 12638 13916 15533 15842 15904 17444 17752 19936 20164 22507 24353 25276 27832 28213 30527 31066 31684 34888 35287 35504 40328 44233 45014 48706 50552 55447 55664 56426 61054 62132 63368 69776 70574 71008 80656 88466 90028 97412 101104 108731 110894 111328 112852 122108 124264 126736 139552 141148 157549 161312 176932 180056 194824 197491 202208 217462 221788 225704 244216 247009 248528 253472 282296 309631 315098 353864 360112 388129 389648 394982 434924 443576 448649 451408 488432 494018 497056 562391 564592 619262 630196 707728 720224 776258 779296 789964 869848 887152 897298 902816 976864 988036 1102843 1124782 1129184 1238524 1260392 1382437 1415456 1552516 1579928 1597997 1729063 1739696 1774304 1794596 1976072 2003123 2167417 2205686 2249564 2477048 2510957 2520784 2716903 2764874 3105032 3140543 3159856 3195994 3458126 3479392 3589192 3936737 3952144 4006246 4334834 4411372 4499128 4954096 5021914 5041568 5433806 5529748 6210064 6281086 6319712 6391988 6916252 7178384 7719901 7873474 7904288 8012492 8669668 8822744 8998256 9677059 9908192 10043828 10867612 11059496 11185979 12420128 12562172 12783976 13832504 14021861 14356768 15439802 15746948 16024984 17339336 17576699 17645488 17996512 19354118 20087656 21735224 21983801 22118992 22371958 25124344 25567952 27557159 27665008 28043722 30879604 31493896 32049968 34678672 35153398 35290976 38708236 39929761 40175312 43470448 43967602 44237984 44743916 50248688 51135904 55114318 55330016 56087444 61759208 62987792 64099936 69357344 70306796 77416472 78301853 79859522 80350624 86940896 87935204 89487832 98153027 100497376 110228636 112174888 123036893 123518416 125975584 140613592 142221733 153886607 154832944 156603706 159719044 175870408 178277947 178975664 192900113 196306054 220457272 224349776 246073786 247036832 279508327 281227184 284443466 307773214 309665888 313207412 319438088 351740816 356555894 357951328 385800226 392612108 440914544 448699552 492147572 548112971 559016654 562454368 568886932 615546428 626414824 638876176 687071189 703481632 713111788 771600452 785224216 861258251 881829088 984295144 995552131 1096225942 1118033308 1137773864 1231092856 1247945629 1252829648 1277752352 1374142378 1426223576 1543200904 1570448432 1722516502 1956558289 1968590288 1991104262 2192451884 2236066616 2275547728 2462185712 2495891258 2505659296 2748284756 2852447152 3086401808 3140896864 3445033004 3913116578 3937180576 3982208524 4384903768 4472133232 4551095456 4924371424 4991782516 5496569512 5704894304 6172803616 6890066008 6968864917 7826233156 7964417048 8735619403 8769807536 8944266464 9983565032 10993139024 12657734237 13695908023 13780132016 13937729834 15652466312 15928834096 17471238806 17539615072 19967130064 21986278048 25315468474 27391816046 27560264032 27875459668 31304932624 31857668192 34942477612 39934260128 48782054419 50630936948 54783632092 55750919336 61149335821 62609865248 69884955224 88604139659 97564108838 101261873896 109567264184 111501838672 122298671642 139769910448 177208279318 195128217676 202523747792 219134528368 223003677344 244597343284 279539820896 354416558636 390256435352 405047495584 438269056736 489194686568 620228977613 708833117272 780512870704 978389373136 1240457955226 1417666234544 1561025741408 1956778746272 2480915910452 2835332469088 4341602843291 4961831820904 8683205686582 9923663641808 17366411373164 19847327283616 34732822746328 69465645492656 138931290985312
• Sum of all divisors σ(n): 328239003304800
• Sum of proper divisors (its aliquot sum) s(n): 189307712319488
• 138931290985312 is an abundant number, because the sum of its proper divisors (189307712319488) is greater than itself. Its abundance is 50376421334176

Bases of 138931290985312

• Binary: 11111100101101101110110001111110101001101100000₂
• Hexadecimal: 0x7E5B763F5360
• Base-36: 1D8W5JJWPS

Squares and roots of 138931290985312

• 138931290985312 squared (138931290985312²) is 19301903614845435395799737344
• 138931290985312 cubed (138931290985312³) is 2681638387684536744700703731569324561891328
• The square root of 138931290985312 is 11786911.8510877139
• The cube root of 138931290985312 is 51792.4780232337

Scales and comparisons

• 138,931,290,985,312 seconds is equal to 4,417,585 years, 16 weeks, 1 day, 1 hour, 41 minutes, 52 seconds.
• To count from 1 to 138,931,290,985,312 would take you about eleven million, forty-three thousand, nine hundred sixty-three 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 138931290985312 cubic inches would be around 4316 feet tall.

Recreational maths with 138931290985312

• 138931290985312 backwards is 213589092139831
• The number of decimal digits it has is: 15
• The sum of 138931290985312's digits is 64
• More coming soon!