138168537586136499827

Names of 138168537586136499827

• Cardinal: 138168537586136499827 can be written as One hundred thirty-eight quintillion, one hundred sixty-eight quadrillion, five hundred thirty-seven trillion, five hundred eighty-six billion, one hundred thirty-six million, four hundred ninety-nine thousand, eight hundred twenty-seven.

Scientific notation

• Scientific notation: 1.38168537586136499827 × 10²⁰

Factors of 138168537586136499827

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 603363

Divisors of 138168537586136499827

• Number of divisors d(n): 192
• Complete list of divisors:
  1 7 11 31 77 121 151 217 341 847 1057 1661 2387 2521 3751 4681 11627 17647 18271 23971 26257 27731 32767 51491 78151 127897 167797 194117 263681 305041 360437 380671 547057 566401 576671 743101 859661 1845767 2135287 2664697 2900491 3619621 3964807 4036697 4187381 5201707 6017627 6343381 8174111 9456271 11800801 17876801 20303437 25337347 29311667 39815831 44403667 46061191 57218777 60430891 66193897 69777191 82605607 87077321 89915221 112208251 125137607 129808811 196644811 278710817 322428337 423016237 437974141 488440337 609541247 629406547 664739801 785457757 908661677 957850531 1234290761 1376513677 1427896921 1453787591 1873357621 2163092921 2699396951 3065818987 4653178607 6704953717 7312137811 8640035327 9125064541 9995278447 10176513137 10536355841 13113503347 13577198371 13823380541 15141650447 15991663501 18895778657 20606933831 29693366461 45067415321 51184964677 63875451787 73754490887 95040388597 96763663787 100375709951 111941644507 144248536817 152057185951 175908298511 207853565227 219521926241 226676272141 282877000771 315471907247 326627031071 428524796771 495741568531 702629969657 1064400301657 1104132809461 1231358089577 1536653483687 1586733904987 1672629045461 1980139005397 2087330461691 2286389217497 2414741188651 2999673577397 3111647008481 3470190979717 4713772764481 5453157253841 6805179713471 7728929666227 11708403318227 14611313231837 16903188320557 21781529059367 22960635078601 26562153075161 32996409351367 34228117093291 34848742343861 38172100776887 47636257994297 51851500409291 64707244312421 74856976848181 160724445550207 185935071526127 239596819653037 243941196407027 252566985864611 362960502865037 383336165782471 452950710186947 523998837937267 711779687436631 823426745329991 1080311012659691 1767968901052277 2683353160477297 4216697823607181 4982457812056417 5262160093923011 5763987217309937 7562177088617837 7829576561802941 11883421139256601 29516884765250267 36835120657461077 54807035932620587 57883761033153121 83183947974796207 130717632531822611 163126962911613341 405186327232071847 636721371364684331 915023427722758277 1141888740381293387 1794396592027746751 4457049599552790317 12560776144194227257 19738362512305214261 138168537586136499827
• Sum of all divisors σ(n): 180431936593640030208
• Sum of proper divisors (its aliquot sum) s(n): 42263399007503530381
• 138168537586136499827 is a deficient number, because the sum of its proper divisors (42263399007503530381) is less than itself. Its deficiency is 95905138578632969446

Bases of 138168537586136499827

• Binary: 1110111110101111001010000001110001011100100110111111100011001110011₂
• Hexadecimal: 0x77D7940E2E4DFC673
• Base-36: T5QMQVHWDPOQB

Squares and roots of 138168537586136499827

• 138168537586136499827 squared (138168537586136499827²) is 19090544778691614670350682627446771029929
• 138168537586136499827 cubed (138168537586136499827³) is 2637712653794474269543004451099989948471059357108687920322283
• The square root of 138168537586136499827 is 11754511371.6452076019
• The cube root of 138168537586136499827 is 5169752.1238955783

Scales and comparisons

• 138,168,537,586,136,499,827 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,168,537,586,136,499,827 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 138168537586136499827 cubic inches would be around 430812.7 feet tall.

Recreational maths with 138168537586136499827

• 138168537586136499827 backwards is 728994631685735861831
• The number of decimal digits it has is: 21
• The sum of 138168537586136499827's digits is 110
• More coming soon!