137948500625782457521

Names of 137948500625782457521

• Cardinal: 137948500625782457521 can be written as One hundred thirty-seven quintillion, nine hundred forty-eight quadrillion, five hundred trillion, six hundred twenty-five billion, seven hundred eighty-two million, four hundred fifty-seven thousand, five hundred twenty-one.

Scientific notation

• Scientific notation: 1.37948500625782457521 × 10²⁰

Factors of 137948500625782457521

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 9588

Divisors of 137948500625782457521

• Number of divisors d(n): 81
• Complete list of divisors:
  1 23 79 529 739 1817 6241 8747 16997 41791 58381 143543 201181 390931 546121 691013 1342763 3301489 4612099 4627163 6464033 12560783 15893299 30883549 43143559 54590027 76510009 106078277 148672759 288898009 365545877 510658607 992301857 1255570621 1759730207 2439800371 3408341161 3419473457 4776920387 6044290711 11745147961 22822942711 28878124283 40342029953 40473794761 56540896651 78391846703 109869168901 139018686353 270138403103 377376710573 477498966169 927866688919 1300440622973 1803012474169 2526990884723 3197429786119 4466730835429 8679664343179 10982476221887 21340933845137 29812760135267 29910134328379 41783722625089 102734809214867 199632279893117 252596953103401 352871735998891 685693483111141 961025620377047 2362900611941941 3300914087382031 8116049927974493 15770950111556243 22103589268672081 75921024009786713 186669148343413339 260772212903180449 1746183552225094399 5997760896773150327 137948500625782457521
• Sum of all divisors σ(n): 146270174829958136601
• Sum of proper divisors (its aliquot sum) s(n): 8321674204175679080
• 137948500625782457521 is a deficient number, because the sum of its proper divisors (8321674204175679080) is less than itself. Its deficiency is 129626826421606778441

Bases of 137948500625782457521

• Binary: 1110111101001101011100001100110111111001001100000111100010010110001₂
• Hexadecimal: 0x77A6B866FC983C4B1
• Base-36: T42G6A5SCVKC1

Squares and roots of 137948500625782457521

• 137948500625782457521 squared (137948500625782457521²) is 19029788824901503074275021141022169465441
• 137948500625782457521 cubed (137948500625782457521³) is 2625130835620433013794153108458856069556470502526595860031761
• 137948500625782457521 is a perfect square number. Its square root is 11745147961
• The cube root of 137948500625782457521 is 5167006.3445984871

Scales and comparisons

• 137,948,500,625,782,457,521 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,948,500,625,782,457,521 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 137948500625782457521 cubic inches would be around 430583.9 feet tall.

Recreational maths with 137948500625782457521

• 137948500625782457521 backwards is 125754287526005849731
• The number of decimal digits it has is: 21
• The sum of 137948500625782457521's digits is 91
• More coming soon!