13242728448000

Names of 13242728448000

• Cardinal: 13242728448000 can be written as Thirteen trillion, two hundred forty-two billion, seven hundred twenty-eight million, four hundred forty-eight thousand.

Scientific notation

• Scientific notation: 1.3242728448 × 10¹³

Factors of 13242728448000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 28
• Sum of prime factors: 1881

Divisors of 13242728448000

• Number of divisors d(n): 704
• 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 90 96 100 108 120 125 128 135 144 150 160 180 192 200 216 225 240 250 256 270 288 300 320 360 375 384 400 432 450 480 500 512 540 576 600 640 675 720 750 768 800 864 900 960 1000 1024 1080 1125 1152 1200 1280 1350 1440 1500 1536 1600 1728 1800 1871 1920 2000 2048 2160 2250 2304 2400 2560 2700 2880 3000 3072 3200 3375 3456 3600 3742 3840 4000 4096 4320 4500 4608 4800 5120 5400 5613 5760 6000 6144 6400 6750 6912 7200 7484 7680 8000 8192 8640 9000 9216 9355 9600 10240 10800 11226 11520 12000 12288 12800 13500 13824 14400 14968 15360 16000 16384 16839 17280 18000 18432 18710 19200 20480 21600 22452 23040 24000 24576 25600 27000 27648 28065 28800 29936 30720 32000 32768 33678 34560 36000 36864 37420 38400 40960 43200 44904 46080 46775 48000 49152 50517 51200 54000 55296 56130 57600 59872 61440 64000 65536 67356 69120 72000 73728 74840 76800 81920 84195 86400 89808 92160 93550 96000 98304 101034 102400 108000 110592 112260 115200 119744 122880 128000 131072 134712 138240 140325 144000 147456 149680 153600 163840 168390 172800 179616 184320 187100 192000 196608 202068 204800 216000 221184 224520 230400 233875 239488 245760 252585 256000 262144 269424 276480 280650 288000 294912 299360 307200 327680 336780 345600 359232 368640 374200 384000 393216 404136 409600 420975 432000 442368 449040 460800 467750 478976 491520 505170 512000 524288 538848 552960 561300 576000 589824 598720 614400 655360 673560 691200 701625 718464 737280 748400 768000 786432 808272 819200 841950 864000 884736 898080 921600 935500 957952 983040 1010340 1024000 1048576 1077696 1105920 1122600 1152000 1179648 1197440 1228800 1262925 1310720 1347120 1382400 1403250 1436928 1474560 1496800 1536000 1572864 1616544 1638400 1683900 1728000 1769472 1796160 1843200 1871000 1915904 1966080 2020680 2048000 2097152 2104875 2155392 2211840 2245200 2304000 2359296 2394880 2457600 2525850 2621440 2694240 2764800 2806500 2873856 2949120 2993600 3072000 3145728 3233088 3276800 3367800 3456000 3538944 3592320 3686400 3742000 3831808 3932160 4041360 4096000 4209750 4310784 4423680 4490400 4608000 4718592 4789760 4915200 5051700 5242880 5388480 5529600 5613000 5747712 5898240 5987200 6144000 6291456 6314625 6466176 6553600 6735600 6912000 7077888 7184640 7372800 7484000 7663616 7864320 8082720 8192000 8419500 8621568 8847360 8980800 9216000 9437184 9579520 9830400 10103400 10485760 10776960 11059200 11226000 11495424 11796480 11974400 12288000 12629250 12932352 13107200 13471200 13824000 14155776 14369280 14745600 14968000 15327232 15728640 16165440 16384000 16839000 17243136 17694720 17961600 18432000 18874368 19159040 19660800 20206800 21553920 22118400 22452000 22990848 23592960 23948800 24576000 25258500 25864704 26214400 26942400 27648000 28311552 28738560 29491200 29936000 30654464 31457280 32330880 32768000 33678000 34486272 35389440 35923200 36864000 38318080 39321600 40413600 43107840 44236800 44904000 45981696 47185920 47897600 49152000 50517000 51729408 52428800 53884800 55296000 56623104 57477120 58982400 59872000 61308928 64661760 65536000 67356000 68972544 70778880 71846400 73728000 76636160 78643200 80827200 86215680 88473600 89808000 91963392 94371840 95795200 98304000 101034000 103458816 107769600 110592000 114954240 117964800 119744000 122617856 129323520 131072000 134712000 137945088 141557760 143692800 147456000 153272320 157286400 161654400 172431360 176947200 179616000 183926784 191590400 196608000 202068000 206917632 215539200 221184000 229908480 235929600 239488000 245235712 258647040 262144000 269424000 275890176 283115520 287385600 294912000 306544640 323308800 344862720 353894400 359232000 367853568 383180800 393216000 404136000 413835264 431078400 442368000 459816960 471859200 478976000 490471424 517294080 538848000 551780352 574771200 589824000 613089280 646617600 689725440 707788800 718464000 735707136 766361600 786432000 808272000 827670528 862156800 884736000 919633920 957952000 980942848 1034588160 1077696000 1103560704 1149542400 1179648000 1226178560 1293235200 1379450880 1415577600 1436928000 1471414272 1532723200 1616544000 1655341056 1724313600 1769472000 1839267840 1915904000 1961885696 2069176320 2155392000 2207121408 2299084800 2359296000 2452357120 2586470400 2758901760 2873856000 2942828544 3065446400 3233088000 3310682112 3448627200 3538944000 3678535680 3831808000 3923771392 4138352640 4310784000 4414242816 4598169600 4904714240 5172940800 5517803520 5747712000 5885657088 6130892800 6466176000 6621364224 6897254400 7077888000 7357071360 7663616000 8276705280 8621568000 8828485632 9196339200 9809428480 10345881600 11035607040 11495424000 11771314176 12261785600 12932352000 13242728448 13794508800 14714142720 15327232000 16553410560 17243136000 17656971264 18392678400 19618856960 20691763200 22071214080 22990848000 24523571200 25864704000 26485456896 27589017600 29428285440 30654464000 33106821120 34486272000 35313942528 36785356800 41383526400 44142428160 45981696000 49047142400 51729408000 52970913792 55178035200 58856570880 61308928000 66213642240 68972544000 73570713600 82767052800 88284856320 91963392000 98094284800 103458816000 105941827584 110356070400 122617856000 132427284480 137945088000 147141427200 165534105600 176569712640 183926784000 206917632000 220712140800 245235712000 264854568960 275890176000 294282854400 331068211200 367853568000 413835264000 441424281600 490471424000 529709137920 551780352000 662136422400 735707136000 827670528000 882848563200 1103560704000 1324272844800 1471414272000 1655341056000 2207121408000 2648545689600 3310682112000 4414242816000 6621364224000 13242728448000
• Sum of all divisors σ(n): 48994827747840
• Sum of proper divisors (its aliquot sum) s(n): 35752099299840
• 13242728448000 is an abundant number, because the sum of its proper divisors (35752099299840) is greater than itself. Its abundance is 22509370851840

Bases of 13242728448000

• Binary: 11000000101101010000001000000000000000000000₂
• Hexadecimal: 0xC0B50200000
• Base-36: 4OZMILMO0

Squares and roots of 13242728448000

• 13242728448000 squared (13242728448000²) is 175369856747468488704000000
• 13242728448000 cubed (13242728448000³) is 2322375390871385707344027451392000000000
• The square root of 13242728448000 is 3639055.9830813265
• The cube root of 13242728448000 is 23658.7879193299

Scales and comparisons

• 13,242,728,448,000 seconds is equal to 421,077 years, 41 weeks, 5 days.
• To count from 1 to 13,242,728,448,000 would take you about one million, fifty-two thousand, six hundred ninety-four 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 13242728448000 cubic inches would be around 1971.6 feet tall.

Recreational maths with 13242728448000

• 13242728448000 backwards is 00084482724231
• 13242728448000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13242728448000's digits is 45
• More coming soon!