137824944967636731

Names of 137824944967636731

• Cardinal: 137824944967636731 can be written as One hundred thirty-seven quadrillion, eight hundred twenty-four trillion, nine hundred forty-four billion, nine hundred sixty-seven million, six hundred thirty-six thousand, seven hundred thirty-one.

Scientific notation

• Scientific notation: 1.37824944967636731 × 10¹⁷

Factors of 137824944967636731

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 480

Divisors of 137824944967636731

• Number of divisors d(n): 264
• Complete list of divisors:
  1 3 7 9 21 27 63 73 81 189 219 243 397 511 567 657 729 1191 1533 1701 1971 2187 2779 3573 4599 5103 5329 5913 6561 8337 10719 13797 15309 15987 17739 19683 25011 28981 32157 37303 41391 45927 47961 53217 59049 75033 86943 96471 111909 124173 137781 143883 157609 159651 202867 225099 260829 289413 335727 372519 413343 431649 472827 478953 608601 675297 782487 868239 1007181 1103263 1117557 1294947 1418481 1436859 1825803 2025891 2115613 2347461 2604717 3021543 3309789 3352671 3884841 4255443 4310577 5477409 6077673 6346839 7042383 7814151 9064629 9929367 10058013 11505457 11654523 12766329 14809291 16432227 18233019 19040517 21127149 23442453 27193887 29788101 30174039 34516371 34963569 38298987 44427873 49296681 54699057 57121551 62570773 63381447 80538199 81581661 89364303 103549113 104890707 114896961 133283619 147890043 164097171 171364653 187712319 190144341 241614597 244744983 268092909 310647339 314672121 344690883 399850857 437995411 443670129 514093959 563136957 570433023 724843791 734234949 804278727 839898361 931942017 1034072649 1199552571 1313986233 1331010387 1542281877 1689410871 1711299069 2174531373 2202704847 2412836181 2519695083 2795826051 3102217947 3598657713 3941958699 3993031161 4567666429 4626845631 5068232613 5879288527 6523594119 7238508543 7559085249 8387478153 9306653841 10795973139 11825876097 11979093483 13702999287 13880536893 15204697839 17637865581 19570782357 21715525629 22677255747 25162434459 31973665003 32387919417 35477628291 41108997861 41641610679 45614093517 52913596743 58712347071 65146576887 68031767241 75487303377 95920995009 97163758251 106432884873 123326993583 124924832037 136842280551 158740790229 176137041213 204095301723 226461910131 287762985027 291491274753 319298654619 333439649317 369980980749 410526841653 476222370687 528411123639 612285905169 679385730393 863288955081 874473824259 957895963857 1000318947951 1109942942247 1231580524959 1428667112061 1585233370917 1836857715507 2334077545219 2589866865243 2873687891571 3000956843853 3329828826741 3694741574877 4286001336183 4755700112751 5510573146521 7002232635657 7769600595729 8621063674713 9002870531559 9989486480223 12858004008549 16531719439563 21006697906971 23308801787187 25863191024139 27008611594677 29968459440669 38574012025647 49595158318689 63020093720913 69926405361561 81025834784031 89905378322007 115722036076941 189060281162739 209779216084683 243077504352093 269716134966021 347166108230823 567180843488217 629337648254049 729232513056279 1701542530464651 1888012944762147 2187697539168837 5104627591393953 6563092617506511 15313882774181859 19689277852519533 45941648322545577 137824944967636731
• Sum of all divisors σ(n): 240155839006150560
• Sum of proper divisors (its aliquot sum) s(n): 102330894038513829
• 137824944967636731 is a deficient number, because the sum of its proper divisors (102330894038513829) is less than itself. Its deficiency is 35494050929122902

Bases of 137824944967636731

• Binary: 111101001101001110000111010100101111110111101011011111011₂
• Hexadecimal: 0x1E9A70EA5FBD6FB
• Base-36: 11P2V5MR3SOR

Squares and roots of 137824944967636731

• 137824944967636731 squared (137824944967636731²) is 18995715455332093461156971180366361
• 137824944967636731 cubed (137824944967636731³) is 2618083437252032288890449164284014675139700940405891
• The square root of 137824944967636731 is 371247821.4988429141
• The cube root of 137824944967636731 is 516546.3248049345

Scales and comparisons

• 137,824,944,967,636,731 seconds is equal to 4,382,406,929 years, 22 weeks, 14 hours, 38 minutes, 51 seconds.
• To count from 1 to 137,824,944,967,636,731 would take you about thirteen billion, one hundred forty-seven million, two hundred twenty thousand, seven hundred eighty-eight 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 137824944967636731 cubic inches would be around 43045.5 feet tall.

Recreational maths with 137824944967636731

• 137824944967636731 backwards is 137636769449428731
• The number of decimal digits it has is: 18
• The sum of 137824944967636731's digits is 90
• More coming soon!