138538768890298392

Names of 138538768890298392

• Cardinal: 138538768890298392 can be written as One hundred thirty-eight quadrillion, five hundred thirty-eight trillion, seven hundred sixty-eight billion, eight hundred ninety million, two hundred ninety-eight thousand, three hundred ninety-two.

Scientific notation

• Scientific notation: 1.38538768890298392 × 10¹⁷

Factors of 138538768890298392

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 438402726841

Divisors of 138538768890298392

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 18 19 21 22 24 27 28 33 36 38 42 44 54 56 57 63 66 72 76 77 84 88 99 108 114 126 132 133 152 154 168 171 189 198 209 216 228 231 252 264 266 297 308 342 378 396 399 418 456 462 504 513 532 594 616 627 684 693 756 792 798 836 924 1026 1064 1188 1197 1254 1368 1386 1463 1512 1596 1672 1848 1881 2052 2079 2376 2394 2508 2772 2926 3192 3591 3762 4104 4158 4389 4788 5016 5544 5643 5852 7182 7524 8316 8778 9576 11286 11704 13167 14364 15048 16632 17556 22572 26334 28728 35112 39501 45144 52668 79002 105336 158004 316008 438402726799 876805453598 1315208180397 1753610907196 2630416360794 3068819087593 3507221814392 3945624541191 4822429994789 5260832721588 6137638175186 7891249082382 8329651809181 9206457262779 9644859989578 10521665443176 11836873623573 12275276350372 14467289984367 15782498164764 16659303618362 18412914525558 19289719979156 23673747247146 24550552700744 24988955427543 27619371788337 28934579968734 31564996329528 33318607236724 33757009963523 36825829051116 38579439958312 43401869953101 47347494494292 49977910855086 55238743576674 57869159937468 58307562664267 66637214473448 67514019927046 73651658102232 74966866282629 82858115365011 86803739906202 91626169900991 94694988988584 99955821710172 101271029890569 110477487153348 115738319874936 116615125328534 130205609859303 135028039854092 149933732565258 165716230730022 173607479812404 174922687992801 183252339801982 199911643420344 202542059781138 220954974306696 224900598847887 233230250657068 260411219718606 270056079708184 274878509702973 299867465130516 303813089671707 331432461460044 347214959624808 349845375985602 366504679603964 405084119562276 449801197695774 466460501314136 520822439437212 524768063978403 549757019405946 599734930261032 607626179343414 641383189306937 662864922920088 699690751971204 733009359207928 810168239124552 824635529108919 899602395391548 911439269015121 1041644878874424 1049536127956806 1099514038811892 1215252358686828 1282766378613874 1399381503942408 1574304191935209 1649271058217838 1799204790783096 1822878538030242 1924149567920811 2099072255913612 2199028077623784 2430504717373656 2473906587326757 2565532757227748 3148608383870418 3298542116435676 3645757076060484 3848299135841622 4198144511827224 4947813174653514 5131065514455496 5772448703762433 6297216767740836 6597084232871352 7291514152120968 7696598271683244 9895626349307028 11544897407524866 12594433535481672 15393196543366488 17317346111287299 19791252698614056 23089794815049732 34634692222574598 46179589630099464 69269384445149196 138538768890298392
• Sum of all divisors σ(n): 505039941273600000
• Sum of proper divisors (its aliquot sum) s(n): 366501172383301608
• 138538768890298392 is an abundant number, because the sum of its proper divisors (366501172383301608) is greater than itself. Its abundance is 227962403493003216

Bases of 138538768890298392

• Binary: 111101100001100000100011010111011010100111000000000011000₂
• Hexadecimal: 0x1EC3046BB538018
• Base-36: 11W3W7TC9QU0

Squares and roots of 138538768890298392

• 138538768890298392 squared (138538768890298392²) is 19192990485639509552753338797785664
• 138538768890298392 cubed (138538768890298392³) is 2658973273203707912598833011416763722921741819852288
• The square root of 138538768890298392 is 372207964.5712842507
• The cube root of 138538768890298392 is 517436.5564552877

Scales and comparisons

• 138,538,768,890,298,392 seconds is equal to 4,405,104,322 years, 8 weeks, 3 days, 8 hours, 13 minutes, 12 seconds.
• To count from 1 to 138,538,768,890,298,392 would take you about thirteen billion, two hundred fifteen million, three hundred twelve thousand, nine hundred sixty-six 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 138538768890298392 cubic inches would be around 43119.7 feet tall.

Recreational maths with 138538768890298392

• 138538768890298392 backwards is 293892098867835831
• 138538768890298392 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138538768890298392's digits is 99
• More coming soon!