126825189640947384608

Names of 126825189640947384608

• Cardinal: 126825189640947384608 can be written as One hundred twenty-six quintillion, eight hundred twenty-five quadrillion, one hundred eighty-nine trillion, six hundred forty billion, nine hundred forty-seven million, three hundred eighty-four thousand, six hundred eight.

Scientific notation

• Scientific notation: 1.26825189640947384608 × 10²⁰

Factors of 126825189640947384608

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1971

Divisors of 126825189640947384608

• Number of divisors d(n): 270
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 431 784 862 1531 1568 1724 3017 3062 3448 6034 6124 6896 10717 12068 12248 13792 21119 21434 24136 24496 42238 42868 48272 48992 75019 84476 85736 96544 150038 168952 171472 185761 300076 337904 342944 371522 600152 659861 675808 743044 1200304 1300327 1319722 1486088 2343961 2400608 2600654 2639444 2972176 4619027 4687922 5201308 5278888 5944352 9102289 9238054 9375844 10402616 10557776 16407727 18204578 18476108 18751688 20805232 21115552 32333189 32815454 36409156 36952216 37503376 41610464 64666378 65630908 72818312 73904432 75006752 80062991 114854089 129332756 131261816 145636624 147808864 160125982 229708178 258665512 262523632 284400091 291273248 320251964 459416356 517331024 525047264 560440937 568800182 640503928 918832712 1010247191 1034662048 1120881874 1137600364 1281007856 1837665424 1990800637 2020494382 2241763748 2275200728 2562015712 3675330848 3923086559 3981601274 4040988764 4483527496 4550401456 7071730337 7846173118 7963202548 8081977528 8967054992 9100802912 13935604459 14143460674 15692346236 15926405096 16163955056 17934109984 27871208918 28286921348 31384692472 31852810192 32327910112 34507149121 49502112359 55742417836 56573842696 62769384944 63705620384 69014298242 99004224718 111484835672 113147685392 122576439221 125538769888 138028596484 198008449436 222969671344 226295370784 241550043847 245152878442 276057192968 396016898872 435416539321 445939342688 483100087694 490305756884 552114385936 792033797744 858035074547 870833078642 966200175388 980611513768 1104228771872 1584067595488 1690850306929 1716070149094 1741666157284 1932400350776 1961223027536 3047915775247 3381700613858 3432140298188 3483332314568 3864800701552 3922446055072 6006245521829 6095831550494 6763401227716 6864280596376 6966664629136 7729601403104 12012491043658 12191663100988 13526802455432 13728561192752 13933329258272 21335410426729 24024982087316 24383326201976 27053604910864 27457122385504 42670820853458 48049964174632 48766652403952 52830445304251 54107209821728 85341641706916 96099928349264 97533304807904 105660890608502 170683283413832 187664528447351 192199856698528 211321781217004 341366566827664 369813117129757 375329056894702 422643562434008 682733133655328 739626234259514 750658113789404 845287124868016 1313651699131457 1479252468519028 1501316227578808 1690574249736032 2588691819908299 2627303398262914 2958504937038056 3002632455157616 5177383639816598 5254606796525828 5917009874076112 6005264910315232 9195561893920199 10354767279633196 10509213593051656 11834019748152224 18391123787840398 20709534559266392 21018427186103312 36782247575680796 41419069118532784 42036854372206624 73564495151361592 80883411760808281 82838138237065568 147128990302723184 161766823521616562 294257980605446368 323533647043233124 566183882325657967 647067294086466248 1132367764651315934 1294134588172932496 2264735529302631868 2588269176345864992 3963287176279605769 4529471058605263736 7926574352559211538 9058942117210527472 15853148705118423076 18117884234421054944 31706297410236846152 63412594820473692304 126825189640947384608
• Sum of all divisors σ(n): 291318081699808409715
• Sum of proper divisors (its aliquot sum) s(n): 164492892058861025107
• 126825189640947384608 is an abundant number, because the sum of its proper divisors (164492892058861025107) is greater than itself. Its abundance is 37667702417913640499

Bases of 126825189640947384608

• Binary: 1101110000000001101100101100000011110100000001110000100000100100000₂
• Hexadecimal: 0x6E00D9607A0384120
• Base-36: QRK3LMBF0YCRK

Squares and roots of 126825189640947384608

• 126825189640947384608 squared (126825189640947384608²) is 16084628727462267794744131659835475313664
• 126825189640947384608 cubed (126825189640947384608³) is 2039936088664632318694681472445276821487828904365489245683712
• The square root of 126825189640947384608 is 11261669043.3055874193
• The cube root of 126825189640947384608 is 5024218.3666258115

Scales and comparisons

• 126,825,189,640,947,384,608 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 126,825,189,640,947,384,608 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 126825189640947384608 cubic inches would be around 418684.9 feet tall.

Recreational maths with 126825189640947384608

• 126825189640947384608 backwards is 806483749046981528621
• The number of decimal digits it has is: 21
• The sum of 126825189640947384608's digits is 101
• More coming soon!