127938631680000

Names of 127938631680000

• Cardinal: 127938631680000 can be written as One hundred twenty-seven trillion, nine hundred thirty-eight billion, six hundred thirty-one million, six hundred eighty thousand.

Scientific notation

• Scientific notation: 1.2793863168 × 10¹⁴

Factors of 127938631680000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 154257

Divisors of 127938631680000

• Number of divisors d(n): 750
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 250 256 270 288 300 320 324 360 375 384 400 405 432 450 480 500 512 540 576 600 625 640 648 675 720 750 768 800 810 864 900 960 1000 1024 1080 1125 1152 1200 1250 1280 1296 1350 1440 1500 1536 1600 1620 1728 1800 1875 1920 2000 2025 2048 2160 2250 2304 2400 2500 2560 2592 2700 2880 3000 3072 3200 3240 3375 3456 3600 3750 3840 4000 4050 4096 4320 4500 4608 4800 5000 5120 5184 5400 5625 5760 6000 6144 6400 6480 6750 6912 7200 7500 7680 8000 8100 8192 8640 9000 9216 9600 10000 10125 10240 10368 10800 11250 11520 12000 12288 12800 12960 13500 13824 14400 15000 15360 16000 16200 16384 16875 17280 18000 18432 19200 20000 20250 20480 20736 21600 22500 23040 24000 24576 25600 25920 27000 27648 28800 30000 30720 32000 32400 33750 34560 36000 36864 38400 40000 40500 40960 41472 43200 45000 46080 48000 49152 50625 51200 51840 54000 55296 57600 60000 61440 64000 64800 67500 69120 72000 73728 76800 80000 81000 81920 82944 86400 90000 92160 96000 101250 102400 103680 108000 110592 115200 120000 122880 128000 129600 135000 138240 144000 147456 153600 154247 160000 162000 165888 172800 180000 184320 192000 202500 204800 207360 216000 221184 230400 240000 245760 256000 259200 270000 276480 288000 307200 308494 320000 324000 331776 345600 360000 368640 384000 405000 409600 414720 432000 442368 460800 462741 480000 512000 518400 540000 552960 576000 614400 616988 640000 648000 663552 691200 720000 737280 768000 771235 810000 829440 864000 921600 925482 960000 1024000 1036800 1080000 1105920 1152000 1228800 1233976 1280000 1296000 1327104 1382400 1388223 1440000 1536000 1542470 1620000 1658880 1728000 1843200 1850964 1920000 2048000 2073600 2160000 2211840 2304000 2313705 2467952 2560000 2592000 2764800 2776446 2880000 3072000 3084940 3240000 3317760 3456000 3686400 3701928 3840000 3856175 4147200 4164669 4320000 4608000 4627410 4935904 5120000 5184000 5529600 5552892 5760000 6144000 6169880 6480000 6635520 6912000 6941115 7403856 7680000 7712350 8294400 8329338 8640000 9216000 9254820 9871808 10240000 10368000 11059200 11105784 11520000 11568525 12339760 12494007 12960000 13824000 13882230 14807712 15360000 15424700 16588800 16658676 17280000 18432000 18509640 19280875 19743616 20736000 20823345 22211568 23040000 23137050 24679520 24988014 25920000 27648000 27764460 29615424 30720000 30849400 33177600 33317352 34560000 34705575 37019280 38561750 39487232 41472000 41646690 44423136 46080000 46274100 49359040 49976028 51840000 55296000 55528920 57842625 59230848 61698800 62470035 66634704 69120000 69411150 74038560 77123500 78974464 82944000 83293380 88846272 92160000 92548200 96404375 98718080 99952056 103680000 104116725 111057840 115685250 118461696 123397600 124940070 133269408 138240000 138822300 148077120 154247000 157948928 165888000 166586760 173527875 177692544 185096400 192808750 197436160 199904112 207360000 208233450 222115680 231370500 236923392 246795200 249880140 266538816 276480000 277644600 289213125 296154240 308494000 312350175 315897856 333173520 347055750 355385088 370192800 385617500 394872320 399808224 414720000 416466900 444231360 462741000 473846784 493590400 499760280 520583625 533077632 555289200 578426250 592308480 616988000 624700350 631795712 666347040 694111500 710770176 740385600 771235000 789744640 799616448 829440000 832933800 867639375 888462720 925482000 947693568 987180800 999520560 1041167250 1066155264 1110578400 1156852500 1184616960 1233976000 1249400700 1263591424 1332694080 1388223000 1421540352 1480771200 1542470000 1561750875 1579489280 1599232896 1665867600 1735278750 1776925440 1850964000 1895387136 1974361600 1999041120 2082334500 2132310528 2221156800 2313705000 2369233920 2467952000 2498801400 2527182848 2602918125 2665388160 2776446000 2843080704 2961542400 3084940000 3123501750 3158978560 3198465792 3331735200 3470557500 3553850880 3701928000 3790774272 3948723200 3998082240 4164669000 4264621056 4442313600 4627410000 4738467840 4935904000 4997602800 5205836250 5330776320 5552892000 5686161408 5923084800 6169880000 6247003500 6317957120 6396931584 6663470400 6941115000 7107701760 7403856000 7581548544 7808754375 7897446400 7996164480 8329338000 8529242112 8884627200 9254820000 9476935680 9871808000 9995205600 10411672500 10661552640 11105784000 11372322816 11846169600 12339760000 12494007000 12635914240 12793863168 13326940800 13882230000 14215403520 14807712000 15617508750 15794892800 15992328960 16658676000 17058484224 17769254400 18509640000 18953871360 19743616000 19990411200 20823345000 21323105280 22211568000 22744645632 23692339200 24679520000 24988014000 25587726336 26653881600 27764460000 28430807040 29615424000 31235017500 31589785600 31984657920 33317352000 34116968448 35538508800 37019280000 37907742720 39487232000 39980822400 41646690000 42646210560 44423136000 47384678400 49359040000 49976028000 51175452672 53307763200 55528920000 56861614080 59230848000 62470035000 63179571200 63969315840 66634704000 68233936896 71077017600 74038560000 78974464000 79961644800 83293380000 85292421120 88846272000 94769356800 98718080000 99952056000 102350905344 106615526400 111057840000 113723228160 118461696000 124940070000 127938631680 133269408000 142154035200 148077120000 157948928000 159923289600 166586760000 170584842240 177692544000 189538713600 197436160000 199904112000 204701810688 213231052800 222115680000 236923392000 249880140000 255877263360 266538816000 284308070400 296154240000 315897856000 319846579200 333173520000 341169684480 355385088000 394872320000 399808224000 426462105600 444231360000 473846784000 499760280000 511754526720 533077632000 568616140800 592308480000 639693158400 666347040000 710770176000 789744640000 799616448000 852924211200 888462720000 947693568000 999520560000 1023509053440 1066155264000 1184616960000 1279386316800 1332694080000 1421540352000 1579489280000 1599232896000 1705848422400 1776925440000 1999041120000 2132310528000 2369233920000 2558772633600 2665388160000 2843080704000 3198465792000 3553850880000 3998082240000 4264621056000 4738467840000 5117545267200 5330776320000 6396931584000 7107701760000 7996164480000 8529242112000 10661552640000 12793863168000 14215403520000 15992328960000 21323105280000 25587726336000 31984657920000 42646210560000 63969315840000 127938631680000
• Sum of all divisors σ(n): 477631132656216
• Sum of proper divisors (its aliquot sum) s(n): 349692500976216
• 127938631680000 is an abundant number, because the sum of its proper divisors (349692500976216) is greater than itself. Its abundance is 221753869296216

Bases of 127938631680000

• Binary: 11101000101110000001000101100011100000000000000₂
• Hexadecimal: 0x745C08B1C000
• Base-36: 19CM720W00

Squares and roots of 127938631680000

• 127938631680000 squared (127938631680000²) is 16368293476150699622400000000
• 127938631680000 cubed (127938631680000³) is 2094137070275391223164548677632000000000000
• The square root of 127938631680000 is 11310996.0516304663
• The cube root of 127938631680000 is 50388.7866209927

Scales and comparisons

• 127,938,631,680,000 seconds is equal to 4,068,052 years, 38 weeks, 6 days.
• To count from 1 to 127,938,631,680,000 would take you about ten million, one hundred seventy thousand, one hundred thirty-one 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 127938631680000 cubic inches would be around 4199.1 feet tall.

Recreational maths with 127938631680000

• 127938631680000 backwards is 000086136839721
• 127938631680000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 127938631680000's digits is 54
• More coming soon!