137830768554605510656

Names of 137830768554605510656

• Cardinal: 137830768554605510656 can be written as One hundred thirty-seven quintillion, eight hundred thirty quadrillion, seven hundred sixty-eight trillion, five hundred fifty-four billion, six hundred five million, five hundred ten thousand, six hundred fifty-six.

Scientific notation

• Scientific notation: 1.37830768554605510656 × 10²⁰

Factors of 137830768554605510656

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 818

Divisors of 137830768554605510656

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 4 8 16 32 64 128 256 337 479 512 674 958 1024 1348 1916 2048 2696 3832 4096 5392 7664 8192 10784 15328 16384 21568 30656 32768 43136 61312 86272 113569 122624 161423 172544 227138 229441 245248 322846 345088 454276 458882 490496 645692 690176 908552 917764 980992 1291384 1380352 1817104 1835528 1961984 2582768 2760704 3634208 3671056 3923968 5165536 5521408 7268416 7342112 7847936 10331072 11042816 14536832 14684224 15695872 20662144 29073664 29368448 38272753 41324288 54399551 58147328 58736896 76545506 77321617 82648576 108799102 109902239 116294656 117473792 153091012 154643234 165297152 217598204 219804478 232589312 234947584 306182024 309286468 330594304 435196408 439608956 465178624 469895168 612364048 618572936 661188608 870392816 879217912 930357248 939790336 1224728096 1237145872 1322377216 1740785632 1758435824 1860714496 1879580672 2449456192 2474291744 2644754432 3481571264 3516871648 3721428992 3759161344 4898912384 4948583488 5289508864 6963142528 7033743296 7518322688 9797824768 9897166976 13926285056 14067486592 18332648687 19595649536 19794333952 26057384929 27852570112 28134973184 36665297374 37037054543 39191299072 39588667904 52114769858 55705140224 56269946368 73330594748 74074109086 78382598144 79177335808 104229539716 111410280448 112539892736 146661189496 148148218172 156765196288 158354671616 208459079432 222820560896 225079785472 293322378992 296296436344 313530392576 316709343232 416918158864 445641121792 450159570944 586644757984 592592872688 627060785152 633418686464 833836317728 891282243584 900319141888 1173289515968 1185185745376 1254121570304 1266837372928 1667672635456 1782564487168 1800638283776 2346579031936 2370371490752 2533674745856 3335345270912 3601276567552 4693158063872 4740742981504 6670690541824 8781338721073 9386316127744 9481485963008 12481487380991 13341381083648 17562677442146 18772632255488 18962971926016 24962974761982 26682762167296 35125354884292 37545264510976 37925943852032 49925949523964 53365524334592 70250709768584 75090529021952 75851887704064 99851899047928 106731048669184 140501419537168 150181058043904 151703775408128 199703798095856 213462097338368 281002839074336 300362116087808 303407550816256 399407596191712 426924194676736 562005678148672 600724232175616 606815101632512 798815192383424 853848389353472 1124011356297344 1213630203265024 1597630384766848 2248022712594688 3195260769533696 4206261247393967 4496045425189376 6390521539067392 8412522494787934 8992090850378752 12781043078134784 16825044989575868 17984181700757504 25562086156269568 33650089979151736 35968363401515008 51124172312539136 67300179958303472 71936726803030016 102248344625078272 134600359916606944 143873453606060032 204496689250156544 269200719833213888 287746907212120064 408993378500313088 538401439666427776 1076802879332855552 2153605758665711104 4307211517331422208 8614423034662844416 17228846069325688832 34457692138651377664 68915384277302755328 137830768554605510656
• Sum of all divisors σ(n): 277056144856891296000
• Sum of proper divisors (its aliquot sum) s(n): 139225376302285785344
• 137830768554605510656 is an abundant number, because the sum of its proper divisors (139225376302285785344) is greater than itself. Its abundance is 1394607747680274688

Bases of 137830768554605510656

• Binary: 1110111100011001001010000011011110111100000010101111000000000000000₂
• Hexadecimal: 0x778C941BDE0578000
• Base-36: T368XQUY24C1S

Squares and roots of 137830768554605510656

• 137830768554605510656 squared (137830768554605510656²) is 18997320760353231249084600066002529550336
• 137830768554605510656 cubed (137830768554605510656³) is 2618415320877848595734463739908200690016369743899827336380416
• The square root of 137830768554605510656 is 11740134946.1837750487
• 137830768554605510656 is a perfect cube number. Its cube root is 5165536

Scales and comparisons

• 137,830,768,554,605,510,656 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,830,768,554,605,510,656 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 137830768554605510656 cubic inches would be around 430461.3 feet tall.

Recreational maths with 137830768554605510656

• 137830768554605510656 backwards is 656015506455867038731
• The number of decimal digits it has is: 21
• The sum of 137830768554605510656's digits is 91
• More coming soon!