137686406083521030

Names of 137686406083521030

• Cardinal: 137686406083521030 can be written as One hundred thirty-seven quadrillion, six hundred eighty-six trillion, four hundred six billion, eighty-three million, five hundred twenty-one thousand and thirty.

Scientific notation

• Scientific notation: 1.3768640608352103 × 10¹⁷

Factors of 137686406083521030

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 104075

Divisors of 137686406083521030

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 5 6 9 10 15 18 27 30 45 54 71 81 90 135 142 162 213 270 355 405 426 571 639 710 810 1065 1142 1278 1713 1917 2130 2855 3195 3426 3834 5041 5139 5710 5751 6390 8565 9585 10082 10278 11502 15123 15417 17130 19170 25205 25695 28755 30246 30834 40541 45369 46251 50410 51390 57510 75615 77085 81082 90738 92502 103423 121623 136107 151230 154170 202705 206846 226845 231255 243246 272214 310269 326041 364869 405410 408321 453690 462510 517115 608115 620538 652082 680535 729738 816642 930807 978123 1034230 1094607 1216230 1361070 1551345 1630205 1824345 1861614 1956246 2041605 2189214 2792421 2878411 2934369 3102690 3260410 3283821 3648690 4083210 4654035 4890615 5473035 5584842 5756822 5868738 6567642 7343033 8377263 8635233 8803107 9308070 9781230 10946070 13962105 14392055 14671845 14686066 16419105 16754526 17270466 17606214 22029099 23148911 25905699 26409321 27924210 28784110 29343690 32838210 36715165 41886315 43176165 44015535 44058198 46297822 51811398 52818642 59054533 66087297 69446733 73430330 77717097 83772630 86352330 88031070 110145495 115744555 118109066 129528495 132046605 132174594 138893466 155434194 177163599 198261891 208340199 220290990 231489110 233151291 259056990 264093210 295272665 330436485 347233665 354327198 388585485 396523782 416680398 466302582 521355343 531490797 590545330 594785673 625020597 660872970 694467330 777170970 885817995 991309455 1041700995 1042710686 1062981594 1165756455 1189571346 1250041194 1564066029 1594472391 1643572681 1771635990 1875061791 1982618910 2083401990 2331512910 2606776715 2657453985 2973928365 3125102985 3128132058 3188944782 3287145362 3750123582 4192871843 4692198087 4783417173 4930718043 5213553430 5314907970 5947856730 6250205970 7820330145 7972361955 8217863405 8385743686 9375308955 9384396174 9566834346 9861436086 12578615529 14076594261 14792154129 15640660290 15944723910 16435726810 18750617910 20964359215 23460990435 23917085865 24653590215 25157231058 28153188522 29584308258 33720138343 37735846587 41928718430 42229782783 44376462387 46921980870 47834171730 49307180430 62893077645 67440276686 70382971305 73960770645 75471693174 84459565566 88752924774 101160415029 113207539761 125786155290 133129387161 140765942610 147921541290 168600691715 188679232935 202320830058 211148913915 221882311935 226415079522 266258774322 297693900853 303481245087 337201383430 339622619283 377358465870 422297827830 443764623870 505802075145 566037698805 595387801706 606962490174 665646935805 679245238566 893081702559 910443735261 1011604150290 1132075397610 1331293871610 1488469504265 1517406225435 1698113096415 1786163405118 1820887470522 2394129822353 2679245107677 2731331205783 2976939008530 3034812450870 3396226192830 4465408512795 4552218676305 4788259644706 5358490215354 5462662411566 7182389467059 8037735323031 8930817025590 9104437352610 11970649111765 13396225538385 13656656028915 14364778934118 16075470646062 21547168401177 23941298223530 24113205969093 26792451076770 27313312057830 35911947335295 40188676615155 43094336802354 48226411938186 64641505203531 71823894670590 80377353230310 107735842005885 120566029845465 129283010407062 169983217387063 193924515610593 215471684011770 241132059690930 323207526017655 339966434774126 387849031221186 509949652161189 646415052035310 849916086935315 969622578052965 1019899304322378 1529848956483567 1699832173870630 1939245156105930 2549748260805945 3059697912967134 4589546869450701 5099496521611890 7649244782417835 9179093738901402 13768640608352103 15298489564835670 22947734347253505 27537281216704206 45895468694507010 68843203041760515 137686406083521030
• Sum of all divisors σ(n): 376173731625043968
• Sum of proper divisors (its aliquot sum) s(n): 238487325541522938
• 137686406083521030 is an abundant number, because the sum of its proper divisors (238487325541522938) is greater than itself. Its abundance is 100800919458001908

Bases of 137686406083521030

• Binary: 111101001001010010000111010001101000000100010101000000110₂
• Hexadecimal: 0x1E9290E8D022A06
• Base-36: 11NPR9QWGYDI

Squares and roots of 137686406083521030

• 137686406083521030 squared (137686406083521030²) is 18957546420196256899212122452260900
• 137686406083521030 cubed (137686406083521030³) is 2610196434758342230392825550450512551024356196727000
• The square root of 137686406083521030 is 371061189.1366719455
• The cube root of 137686406083521030 is 516373.1927633447

Scales and comparisons

• 137,686,406,083,521,030 seconds is equal to 4,378,001,821 years, 22 weeks, 5 days, 17 hours, 10 minutes, 30 seconds.
• To count from 1 to 137,686,406,083,521,030 would take you about thirteen billion, one hundred thirty-four million, five thousand, four hundred sixty-four 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 137686406083521030 cubic inches would be around 43031.1 feet tall.

Recreational maths with 137686406083521030

• 137686406083521030 backwards is 030125380604686731
• The number of decimal digits it has is: 18
• The sum of 137686406083521030's digits is 63
• More coming soon!