137653821853996721

Names of 137653821853996721

• Cardinal: 137653821853996721 can be written as One hundred thirty-seven quadrillion, six hundred fifty-three trillion, eight hundred twenty-one billion, eight hundred fifty-three million, nine hundred ninety-six thousand, seven hundred twenty-one.

Scientific notation

• Scientific notation: 1.37653821853996721 × 10¹⁷

Factors of 137653821853996721

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 80

Divisors of 137653821853996721

• Number of divisors d(n): 384
• Complete list of divisors:
  1 7 13 23 37 49 91 161 169 259 299 343 481 529 637 851 1127 1183 1813 2093 2197 2401 3367 3703 3887 4459 5957 6253 6877 7889 8281 11063 12167 12691 14651 15379 16807 19573 23569 25921 27209 28561 31213 41699 43771 48139 50531 55223 57967 77441 81289 85169 88837 89401 102557 107653 117649 137011 143819 158171 164983 181447 190463 199927 218491 254449 291893 306397 336973 353717 371293 386561 405769 450179 542087 569023 596183 621859 625807 656903 717899 753571 823543 959077 1006733 1056757 1107197 1154881 1162213 1270129 1333241 1399489 1529437 1781143 1869647 2043251 2056223 2144779 2358811 2476019 2599051 2705927 2840383 3151253 3307837 3794609 3983161 4173281 4353013 4380649 4598321 5025293 5274997 5852327 6713539 7047131 7397299 7750379 8084167 8135491 8539739 8890903 9332687 9796423 10706059 12468001 13087529 13737841 14302757 14393561 15013453 15108769 16511677 17332133 18193357 18941489 19882681 22058771 23154859 24305411 26562263 26730899 27882127 29212967 30471091 30664543 32188247 35177051 36924979 40966289 43001881 46994773 49329917 51781093 54252653 56589169 56948437 59778173 62236321 65328809 68574961 76080251 87276007 91612703 96164887 100119299 100754927 105094171 105761383 115581739 121324931 127353499 139178767 154411397 162084013 170137877 185935841 187116293 195174889 196413997 204490769 214651801 225317729 246239357 258474853 286764023 301013167 315970343 328963411 345309419 347501687 362467651 379768571 396124183 398639059 418447211 435654247 457301663 480024727 532561757 559024453 610932049 641288921 673154209 700835093 705284489 735659197 740329681 809072173 849274517 891474493 989043263 1080879779 1134588091 1190965139 1301550887 1309814051 1366224223 1374897979 1431435383 1502562607 1577224103 1809323971 2007348161 2107092169 2211792401 2302743877 2417165933 2432511809 2537273557 2658379997 2790473413 2929130477 3201111641 3360173089 3727932299 3913171171 4276524343 4489022447 4517521931 4712079463 4936991423 5149614379 5182307767 5663505211 5944921619 6240321451 6923302841 7267317889 7566158453 7942116637 8336755973 9110856209 9168698357 9563569561 9624285853 10020047681 10517938249 11040568721 12857562419 14051437127 14749645183 15482546807 16119207139 16920161531 17027582663 17760914899 18608659979 19533313891 20503913339 23521211623 26095526093 27392198197 29935670401 31423157129 31622653517 32984556241 34558939961 36276154369 41614451333 43682250157 48463119887 50871225223 52963109171 55594816459 58357291811 64180888499 66944986927 67370000971 73625567743 77283981047 90002936933 98360059889 103247516281 108377827649 118441130717 119193078641 124326404293 130260619853 136733197237 143527393373 167148311447 182668682651 191745387379 209549692807 219962099903 221358574619 230891893687 241912579727 253933080583 305775751099 339241839209 356098576561 370741764197 389163715213 408501042677 449266219493 471590006797 540987867329 630020558531 688520419223 722732613967 758644793543 834351550487 870284830051 957132380659 1004691753611 1170038180129 1278680778557 1342217711653 1539734699321 1549510022333 1616243255809 1693388058089 1777531564081 2374692874463 2492690035927 2724146006491 2859507298739 3144863536451 3301130047579 4410143909717 4819642934561 5059128297769 5310513554801 5840460853409 7032842275277 8190267260903 8950765449899 9395523981571 10846570156331 11313702790663 12442720948567 16622850121241 17448830251489 20016551091173 22014044755157 23107910333053 30871007368019 35413898084383 37173594883607 40883225973863 57331870826321 62655358149293 65768667870997 75925991094317 116359950848687 122141811760423 161755372331371 216097051576133 260215164185249 286182581817041 401323095784247 460380675096979 531481937660219 814519655940809 854992682322961 1512679361032931 2809261670489729 3720373563621533 5984948776260727 10588755527230517 19664831693428103 137653821853996721
• Sum of all divisors σ(n): 186802412251392000
• Sum of proper divisors (its aliquot sum) s(n): 49148590397395279
• 137653821853996721 is a deficient number, because the sum of its proper divisors (49148590397395279) is less than itself. Its deficiency is 88505231456601442

Bases of 137653821853996721

• Binary: 111101001000010110110101111110001100101010001011010110001₂
• Hexadecimal: 0x1E90B6BF19516B1
• Base-36: 11NE7GRBIFN5

Squares and roots of 137653821853996721

• 137653821853996721 squared (137653821853996721²) is 18948574671011865263552281478751841
• 137653821853996721 cubed (137653821853996721³) is 2608343722150621826532930265985170419357564386713361
• The square root of 137653821853996721 is 371017279.7242693399
• The cube root of 137653821853996721 is 516332.4553839189

Scales and comparisons

• 137,653,821,853,996,721 seconds is equal to 4,376,965,743 years, 37 weeks, 6 days, 13 hours, 18 minutes, 41 seconds.
• To count from 1 to 137,653,821,853,996,721 would take you about thirteen billion, one hundred thirty million, eight hundred ninety-seven thousand, two hundred thirty-one 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 137653821853996721 cubic inches would be around 43027.7 feet tall.

Recreational maths with 137653821853996721

• 137653821853996721 backwards is 127699358128356731
• The number of decimal digits it has is: 18
• The sum of 137653821853996721's digits is 86
• More coming soon!