138217733599154810216

Names of 138217733599154810216

• Cardinal: 138217733599154810216 can be written as One hundred thirty-eight quintillion, two hundred seventeen quadrillion, seven hundred thirty-three trillion, five hundred ninety-nine billion, one hundred fifty-four million, eight hundred ten thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 1.38217733599154810216 × 10²⁰

Factors of 138217733599154810216

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 12868006977293

Divisors of 138217733599154810216

• Number of divisors d(n): 192
• Complete list of divisors:
  1 2 4 7 8 11 14 22 28 44 47 49 53 56 77 88 94 98 106 154 188 196 212 308 329 371 376 392 424 517 539 583 616 658 742 1034 1078 1166 1316 1484 2068 2156 2303 2332 2491 2597 2632 2968 3619 4081 4136 4312 4606 4664 4982 5194 7238 8162 9212 9964 10388 14476 16324 17437 18424 19928 20776 25333 27401 28567 28952 32648 34874 50666 54802 57134 69748 101332 109604 114268 122059 139496 191807 202664 219208 228536 244118 383614 488236 767228 976472 1342649 1534456 2685298 5370596 10741192 12868006977173 25736013954346 51472027908692 90076048840211 102944055817384 141548076748903 180152097680422 283096153497806 360304195360844 566192306995612 604796327927131 630532341881477 682004369790169 720608390721688 990836537242321 1132384613991224 1209592655854262 1261064683762954 1364008739580338 1981673074484642 2419185311708524 2522129367525908 2728017479160676 3963346148969284 4233574295489917 4774030588531183 4838370623417048 5044258735051816 5456034958321352 6652759607198441 6935855760696247 7502048067691859 7926692297938568 8467148590979834 9548061177062366 13305519214396882 13871711521392494 15004096135383718 16934297181959668 19096122354124732 26611038428793764 27743423042784988 29635020068429419 30008192270767436 32054205380137943 33418214119718281 33868594363919336 38192244708249464 46569317250389087 52514336473843013 53222076857587528 55486846085569976 59270040136858838 60016384541534872 64108410760275886 66836428239436562 93138634500778174 105028672947686026 118540080273717676 128216821520551772 133672856478873124 186277269001556348 210057345895372052 224379437660965601 237080160547435352 256433643041103544 267345712957746248 325985220752723609 352596259181517373 367600355316901091 372554538003112696 420114691790744104 448758875321931202 651970441505447218 705192518363034746 735200710633802182 897517750643862404 1303940883010894436 1410385036726069492 1470401421267604364 1570656063626759207 1795035501287724808 2468173814270621611 2607881766021788872 2820770073452138984 2940802842535208728 3141312127253518414 4936347628541243222 6282624254507036828 9872695257082486444 12565248509014073656 17277216699894351277 19745390514164972888 34554433399788702554 69108866799577405108 138217733599154810216
• Sum of all divisors σ(n): 342210748110407182080
• Sum of proper divisors (its aliquot sum) s(n): 203993014511252371864
• 138217733599154810216 is an abundant number, because the sum of its proper divisors (203993014511252371864) is greater than itself. Its abundance is 65775280912097561648

Bases of 138217733599154810216

• Binary: 1110111111000101000000010000110011001000101001100100010110101101000₂
• Hexadecimal: 0x77E28086645322D68
• Base-36: T6435EMA1EF6W

Squares and roots of 138217733599154810216

• 138217733599154810216 squared (138217733599154810216²) is 19104141881286928527188007260970977966656
• 138217733599154810216 cubed (138217733599154810216³) is 2640531193188172886782962091947834839942438198343693256157696
• The square root of 138217733599154810216 is 11756603829.3018452045
• The cube root of 138217733599154810216 is 5170365.6282858183

Scales and comparisons

• 138,217,733,599,154,810,216 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 138,217,733,599,154,810,216 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 138217733599154810216 cubic inches would be around 430863.8 feet tall.

Recreational maths with 138217733599154810216

• 138217733599154810216 backwards is 612018451995337712831
• The number of decimal digits it has is: 21
• The sum of 138217733599154810216's digits is 86
• More coming soon!