137929731912716131648

Names of 137929731912716131648

• Cardinal: 137929731912716131648 can be written as One hundred thirty-seven quintillion, nine hundred twenty-nine quadrillion, seven hundred thirty-one trillion, nine hundred twelve billion, seven hundred sixteen million, one hundred thirty-one thousand, six hundred forty-eight.

Scientific notation

• Scientific notation: 1.37929731912716131648 × 10²⁰

Factors of 137929731912716131648

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1565

Divisors of 137929731912716131648

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 8 13 16 26 32 52 64 67 104 134 169 208 268 338 416 536 676 832 871 1072 1352 1483 1742 2144 2197 2704 2966 3484 4288 4394 4489 5408 5932 6968 8788 8978 10816 11323 11864 13936 17576 17956 19279 22646 23728 27872 35152 35912 38558 45292 47456 55744 58357 70304 71824 77116 90584 94912 99361 116714 140608 143648 147199 154232 181168 198722 233428 250627 287296 294398 300763 308464 362336 397444 466856 501254 588796 601526 616928 724672 758641 794888 933712 1002508 1177592 1203052 1233856 1291693 1517282 1589776 1867424 2005016 2199289 2355184 2406104 2583386 3034564 3179552 3258151 3734848 3909919 4010032 4398578 4710368 4812208 5166772 6069128 6359104 6516302 6657187 7819838 8020064 8797156 9420736 9624416 9862333 10333544 12138256 13032604 13314374 15639676 16040128 16792009 17594312 19248832 19724666 20667088 24276512 26065208 26628748 28590757 31279352 33584018 35188624 39449332 41334176 48553024 50828947 52130416 53257496 57181514 62558704 67168036 70377248 78898664 82668352 86543431 101657894 104260832 106514992 114363028 125117408 134336072 140754496 147352363 157797328 173086862 203315788 208521664 213029984 218296117 228726056 250234816 268672144 294704726 315594656 346173724 371679841 406631576 426059968 436592234 446031529 457452112 537344288 589409452 631189312 660776311 692347448 743359682 813263152 873184468 892063058 914904224 1074688576 1125064603 1178818904 1321552622 1384694896 1486719364 1626526304 1746368936 1784126116 1829808448 1915580719 2250129206 2357637808 2643105244 2769389792 2973438728 3253052608 3492737872 3568252232 3831161438 4500258412 4715275616 4831837933 5286210488 5538779584 5798409877 5946877456 6985475744 7136504464 7662322876 9000516824 9430551232 9663675866 9872608321 10572420976 11596819754 11893754912 13970951488 14273008928 14625839839 15324645752 18001033648 19327351732 19745216642 21144841952 23193639508 23787509824 24902549347 28546017856 29251679678 30649291504 36002067296 38654703464 39490433284 42289683904 46387279016 49805098694 58503359356 61298583008 72004134592 75379328401 77309406928 78980866568 92774558032 99610197388 117006718712 122597166016 128343908173 150758656802 154618813856 157961733136 185549116064 199220394776 234013437424 256687816346 301517313604 309237627712 315923466272 323733141511 371098232128 398440789552 468026874848 513375632692 603034627208 631846932544 647466283022 661464757507 796881579104 936053749696 979931269213 1026751265384 1206069254416 1294932566044 1322929515014 1593763158208 1668470806249 1959862538426 2053502530768 2412138508832 2589865132088 2645859030028 3336941612498 3919725076852 4107005061536 4824277017664 5179730264176 5291718060056 6673883224996 7839450153704 8214010123072 8599041847591 10359460528352 10583436120112 13347766449992 15678900307408 17198083695182 20718921056704 21166872240224 21690120481237 26695532899984 31357800614816 34396167390364 42333744480448 43380240962474 53391065799968 62715601229632 68792334780728 86760481924948 106782131599936 111787544018683 137584669561456 173520963849896 223575088037366 275169339122912 347041927699792 447150176074732 550338678245824 694083855399584 894300352149464 1388167710799168 1453238072242879 1788600704298928 2906476144485758 3577201408597856 5812952288971516 7154402817195712 11625904577943032 23251809155886064 46503618311772128 93007236623544256
• Sum of all divisors σ(n): 138039825264228520992
• Sum of proper divisors (its aliquot sum) s(n): 110093351512389344
• 137929731912716131648 is a deficient number, because the sum of its proper divisors (110093351512389344) is less than itself. Its deficiency is 137819638561203742304

Bases of 137929731912716131648

• Binary: 1110111101000101000110110000110010000111110010011100001110101000000₂
• Hexadecimal: 0x77A28D8643E4E1D40
• Base-36: T3XBDBU1AZWHS

Squares and roots of 137929731912716131648

• 137929731912716131648 squared (137929731912716131648²) is 19024610945513742868189190346489267195904
• 137929731912716131648 cubed (137929731912716131648³) is 2624059487458435518910006572274447586374991754419763070369792
• The square root of 137929731912716131648 is 11744348935.2418396053
• 137929731912716131648 is a perfect cube number. Its cube root is 5166772

Scales and comparisons

• 137,929,731,912,716,131,648 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,929,731,912,716,131,648 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 137929731912716131648 cubic inches would be around 430564.3 feet tall.

Recreational maths with 137929731912716131648

• 137929731912716131648 backwards is 846131617219137929731
• The number of decimal digits it has is: 21
• The sum of 137929731912716131648's digits is 91
• More coming soon!