137614724994464409006

Names of 137614724994464409006

• Cardinal: 137614724994464409006 can be written as One hundred thirty-seven quintillion, six hundred fourteen quadrillion, seven hundred twenty-four trillion, nine hundred ninety-four billion, four hundred sixty-four million, four hundred nine thousand and six.

Scientific notation

• Scientific notation: 1.37614724994464409006 × 10²⁰

Factors of 137614724994464409006

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 885189694

Divisors of 137614724994464409006

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 189 258 301 313 378 387 602 626 774 903 939 1161 1806 1878 2191 2322 2709 2817 4382 5418 5634 6573 8127 8451 13146 13459 16254 16902 19719 26918 30559 39438 40377 59157 61118 80754 91677 94213 118314 121131 183354 188426 213913 242262 275031 282639 363393 427826 550062 565278 641739 726786 825093 847917 1283478 1314037 1650186 1695834 1925217 2543751 2628074 3850434 3942111 5087502 5775651 7884222 9198259 9564967 11551302 11826333 18396518 19129934 23652666 27594777 28694901 35478999 55189554 57389802 66954769 70957998 82784331 86084703 133909538 165568662 172169406 200864307 248352993 258254109 401728614 411293581 496705986 516508218 602592921 822587162 885158767 1205185842 1233880743 1770317534 1807778763 2467761486 2655476301 2879055067 3615557526 3701642229 5310952602 5758110134 6196111369 7403284458 7966428903 8637165201 11104926687 12392222738 15932857806 17274330402 18588334107 22209853374 23899286709 25911495603 37176668214 38061826981 47798573418 51822991206 55765002321 76123653962 77734486809 111530004642 114185480943 155468973618 167295006963 228370961886 266432788867 277054694071 334590013926 342556442829 532865577734 554109388142 685112885658 799298366601 831164082213 1027669328487 1598596733202 1662328164426 1939382858497 2055338656974 2397895099803 2493492246639 3878765716994 4795790199606 4986984493278 5818148575491 7193685299409 7480476739917 11636297150982 11913351845053 14387370598818 14960953479834 17454445726473 23826703690106 27049566760753 34908891452946 35740055535159 52363337179419 54099133521506 71480111070318 81148700282259 83393462915371 104726674358838 107220166605477 162297400564518 166786925830742 189346967325271 214440333210954 243446100846777 250180388746113 321660499816431 378693934650542 486892201693554 500360777492226 568040901975813 643320999632862 730338302540331 750541166238339 1136081803951626 1163131370712379 1460676605080662 1501082332476678 1704122705927439 2251623498715017 2326262741424758 3408245411854878 3489394112137137 4503246997430034 5112368117782317 6978788224274274 8141919594986653 8466514396115689 10224736235564634 10468182336411411 16283839189973306 16933028792231378 20936364672822822 24425758784959959 25399543188347067 31404547009234233 48851517569919918 50799086376694134 59265600772809823 62809094018468466 73277276354879877 76198629565041201 118531201545619646 146554552709759754 152397259130082402 177796802318429469 219831829064639631 228595888695123603 355593604636858938 364060119032974627 439663658129279262 457191777390247206 533390406955288407 728120238065949254 1066780813910576814 1092180357098923881 1600171220865865221 2184360714197847762 2548420833230822389 3200342441731730442 3276541071296771643 5096841666461644778 6553082142593543286 7645262499692467167 9829623213890314929 15290524999384934334 19659246427780629858 22935787499077401501 45871574998154803002 68807362497232204503 137614724994464409006
• Sum of all divisors σ(n): 358779882376613068800
• Sum of proper divisors (its aliquot sum) s(n): 221165157382148659794
• 137614724994464409006 is an abundant number, because the sum of its proper divisors (221165157382148659794) is greater than itself. Its abundance is 83550432387684250788

Bases of 137614724994464409006

• Binary: 1110111010111001001101101110100010010110110000111101110010110101110₂
• Hexadecimal: 0x775C9B744B61EE5AE
• Base-36: T1J5OP1KDJ3JI

Squares and roots of 137614724994464409006

• 137614724994464409006 squared (137614724994464409006²) is 18937812535302067335327069467652853908036
• 137614724994464409006 cubed (137614724994464409006³) is 2606121864042314803766039018835925782229997917688278214172216
• The square root of 137614724994464409006 is 11730930269.7810120861
• The cube root of 137614724994464409006 is 5162835.6731407615

Scales and comparisons

• 137,614,724,994,464,409,006 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,614,724,994,464,409,006 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 137614724994464409006 cubic inches would be around 430236.3 feet tall.

Recreational maths with 137614724994464409006

• 137614724994464409006 backwards is 600904464499427416731
• The number of decimal digits it has is: 21
• The sum of 137614724994464409006's digits is 90
• More coming soon!