137206845870612800

Names of 137206845870612800

• Cardinal: 137206845870612800 can be written as One hundred thirty-seven quadrillion, two hundred six trillion, eight hundred forty-five billion, eight hundred seventy million, six hundred twelve thousand, eight hundred.

Scientific notation

• Scientific notation: 1.372068458706128 × 10¹⁷

Factors of 137206845870612800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 182682

Divisors of 137206845870612800

• Number of divisors d(n): 252
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 83 100 124 155 160 166 200 248 310 320 332 400 415 496 620 664 775 800 830 992 1240 1328 1550 1600 1660 1984 2075 2480 2573 2656 3100 3320 4150 4960 5146 5312 6200 6640 8300 9920 10292 12400 12865 13280 16600 20584 24800 25730 26560 33200 41168 49600 51460 64325 66400 82336 102920 128650 132800 164672 182561 205840 257300 365122 411680 514600 730244 823360 912805 1029200 1460488 1825610 2058400 2920976 3651220 4116800 4564025 5659391 5841952 7302440 9128050 11318782 11683904 14604880 15152563 18256100 22637564 28296955 29209760 30305126 36512200 45275128 56593910 58419520 60610252 73024400 75762815 90550256 113187820 121220504 141484775 146048800 151525630 181100512 226375640 242441008 282969550 292097600 303051260 362201024 378814075 452751280 469729453 484882016 565939100 606102520 757628150 905502560 939458906 969764032 1131878200 1212205040 1515256300 1811005120 1878917812 2263756400 2348647265 2424410080 3030512600 3757835624 4527512800 4697294530 4848820160 6061025200 7515671248 9055025600 9394589060 11743236325 12122050400 15031342496 18789178120 23486472650 24244100800 30062684992 33328518721 37578356240 46972945300 66657037442 75156712480 93945890600 133314074884 150313424960 166642593605 187891781200 266628149768 333285187210 375783562400 533256299536 666570374420 751567124800 833212968025 1033184080351 1066512599072 1333140748840 1666425936050 2066368160702 2133025198144 2666281497680 2766267053843 3332851872100 4132736321404 5165920401755 5332562995360 5532534107686 6665703744200 8265472642808 10331840803510 10665125990720 11065068215372 13331407488400 13831335269215 16530945285616 20663681607020 22130136430744 25829602008775 26662814976800 27662670538430 33061890571232 41327363214040 44260272861488 51659204017550 53325629953600 55325341076860 66123781142464 69156676346075 82654726428080 85754278669133 88520545722976 103318408035100 110650682153720 138313352692150 165309452856160 171508557338266 177041091445952 206636816070200 221301364307440 276626705384300 330618905712320 343017114676532 413273632140400 428771393345665 442602728614880 553253410768600 686034229353064 826547264280800 857542786691330 885205457229760 1106506821537200 1372068458706128 1653094528561600 1715085573382660 2143856966728325 2213013643074400 2744136917412256 3430171146765320 4287713933456650 4426027286148800 5488273834824512 6860342293530640 8575427866913300 13720684587061280 17150855733826600 27441369174122560 34301711467653200 68603422935306400 137206845870612800
• Sum of all divisors σ(n): 352706180604747648
• Sum of proper divisors (its aliquot sum) s(n): 215499334734134848
• 137206845870612800 is an abundant number, because the sum of its proper divisors (215499334734134848) is greater than itself. Its abundance is 78292488863522048

Bases of 137206845870612800

• Binary: 111100111011101001110011000111100110111101010000101000000₂
• Hexadecimal: 0x1E774E63CDEA140
• Base-36: 11IZRMTRKZSW

Squares and roots of 137206845870612800

• 137206845870612800 squared (137206845870612800²) is 18825718553762096767198647523840000
• 137206845870612800 cubed (137206845870612800³) is 2583017464009571720114795515374911361743409152000000
• The square root of 137206845870612800 is 370414424.4904790421
• The cube root of 137206845870612800 is 515772.9880353379

Scales and comparisons

• 137,206,845,870,612,800 seconds is equal to 4,362,753,290 years, 2 weeks, 2 days, 12 hours, 53 minutes, 20 seconds.
• To count from 1 to 137,206,845,870,612,800 would take you about thirteen billion, eighty-eight million, two hundred fifty-nine thousand, eight hundred seventy 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 137206845870612800 cubic inches would be around 42981.1 feet tall.

Recreational maths with 137206845870612800

• 137206845870612800 backwards is 008216078548602731
• The number of decimal digits it has is: 18
• The sum of 137206845870612800's digits is 68
• More coming soon!