138336131296000

Names of 138336131296000

• Cardinal: 138336131296000 can be written as One hundred thirty-eight trillion, three hundred thirty-six billion, one hundred thirty-one million, two hundred ninety-six thousand.

Scientific notation

• Scientific notation: 1.38336131296 × 10¹⁴

Factors of 138336131296000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 797225

Divisors of 138336131296000

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 8 10 11 16 17 20 22 25 29 32 34 40 44 50 55 58 64 68 80 85 88 100 110 116 125 128 136 145 160 170 176 187 200 220 232 250 256 272 275 290 319 320 340 352 374 400 425 440 464 493 500 544 550 580 638 640 680 704 725 748 800 850 880 928 935 986 1000 1088 1100 1160 1276 1280 1360 1375 1408 1450 1496 1595 1600 1700 1760 1856 1870 1972 2000 2125 2176 2200 2320 2465 2552 2720 2750 2816 2900 2992 3190 3200 3400 3520 3625 3712 3740 3944 4000 4250 4352 4400 4640 4675 4930 5104 5423 5440 5500 5800 5984 6380 6400 6800 7040 7250 7424 7480 7888 7975 8000 8500 8800 9280 9350 9860 10208 10846 10880 11000 11600 11968 12325 12760 13600 14080 14500 14960 15776 15950 16000 17000 17600 18560 18700 19720 20416 21692 21760 22000 23200 23375 23936 24650 25520 27115 27200 29000 29920 31552 31900 32000 34000 35200 37120 37400 39440 39875 40832 43384 44000 46400 46750 47872 49300 51040 54230 54400 58000 59840 61625 63104 63800 68000 70400 74800 78880 79750 81664 86768 88000 92800 93500 98600 102080 108460 108800 116000 119680 123250 126208 127600 135575 136000 149600 157760 159500 173536 176000 185600 187000 197200 204160 216920 232000 239360 246500 255200 271150 272000 299200 315520 319000 347072 352000 374000 394400 408320 433840 464000 493000 510400 542300 544000 598400 631040 638000 677875 694144 748000 788800 797161 867680 928000 986000 1020800 1084600 1196800 1276000 1355750 1388288 1496000 1577600 1594322 1735360 1972000 2041600 2169200 2552000 2711500 2992000 3155200 3188644 3470720 3944000 3985805 4338400 5104000 5423000 5984000 6377288 6941440 7888000 7971610 8676800 8768771 10208000 10846000 12754576 13551737 15776000 15943220 17353600 17537542 19929025 21692000 23117669 25509152 27103474 31886440 34707200 35075084 39858050 43384000 43843855 46235338 51018304 54206948 63772880 67758685 70150168 79716100 86768000 87687710 92470676 99645125 102036608 108413896 115588345 127545760 135517370 140300336 149069107 159432200 173536000 175375420 184941352 199290250 204073216 216827792 219219275 231176690 254294359 255091520 271034740 280600672 298138214 318864400 338793425 350750840 369882704 393000373 398580500 433655584 438438550 462353380 508588718 510183040 542069480 561201344 577941725 596276428 637728800 677586850 701501680 739765408 745345535 786000746 797161000 867311168 876877100 924706760 1017177436 1020366080 1084138960 1096096375 1122402688 1155883450 1192552856 1271471795 1275457600 1355173700 1403003360 1479530816 1490691070 1572001492 1594322000 1693967125 1734622336 1753754200 1849413520 1965001865 2034354872 2168277920 2192192750 2244805376 2311766900 2385105712 2542943590 2550915200 2710347400 2806006720 2889708625 2959061632 2981382140 3144002984 3188644000 3387934250 3469244672 3507508400 3698827040 3726727675 3930003730 4068709744 4323004103 4336555840 4384385500 4623533800 4770211424 5085887180 5101830400 5420694800 5612013440 5779417250 5918123264 5962764280 6288005968 6357358975 6377288000 6775868500 7015016800 7397654080 7453455350 7860007460 8137419488 8646008206 8673111680 8768771000 9247067600 9540422848 9825009325 10171774360 10841389600 11224026880 11558834500 11925528560 12576011936 12714717950 12754576000 13551737000 14030033600 14795308160 14906910700 15720014920 16274838976 17292016412 17346223360 17537542000 18494135200 18633638375 19080845696 19650018650 20343548720 21615020515 21682779200 23117669000 23851057120 25152023872 25429435900 25509152000 27103474000 28060067200 29590616320 29813821400 31440029840 31786794875 32549677952 34584032824 35075084000 36988270400 37267276750 38161691392 39300037300 40687097440 43230041030 43365558400 46235338000 47702114240 49125046625 50304047744 50858871800 54206948000 56120134400 59627642800 62880059680 63573589750 65099355904 69168065648 70150168000 73976540800 74534553500 78600074600 81374194880 86460082060 86731116800 92470676000 95404228480 98250093250 100608095488 101717743600 108075102575 108413896000 119255285600 125760119360 127147179500 138336131296 140300336000 147953081600 149069107000 157200149200 162748389760 172920164120 184941352000 190808456960 196500186500 203435487200 216150205150 216827792000 238510571200 251520238720 254294359000 276672262592 280600672000 298138214000 314400298400 325496779520 345840328240 369882704000 393000373000 406870974400 432300410300 433655584000 477021142400 503040477440 508588718000 540375512875 553344525184 596276428000 628800596800 691680656480 739765408000 786000746000 813741948800 864600820600 954042284800 1017177436000 1080751025750 1106689050368 1192552856000 1257601193600 1383361312960 1572001492000 1627483897600 1729201641200 2034354872000 2161502051500 2385105712000 2515202387200 2766722625920 3144002984000 3458403282400 4068709744000 4323004103000 4770211424000 5533445251840 6288005968000 6916806564800 8137419488000 8646008206000 12576011936000 13833613129600 17292016412000 27667226259200 34584032824000 69168065648000 138336131296000
• Sum of all divisors σ(n): 411781747628160
• Sum of proper divisors (its aliquot sum) s(n): 273445616332160
• 138336131296000 is an abundant number, because the sum of its proper divisors (273445616332160) is greater than itself. Its abundance is 135109485036160

Bases of 138336131296000

• Binary: 11111011101000011100011111101110010101100000000₂
• Hexadecimal: 0x7DD0E3F72B00
• Base-36: 1D1AQOU9DS

Squares and roots of 138336131296000

• 138336131296000 squared (138336131296000²) is 19136885221944150639616000000
• 138336131296000 cubed (138336131296000³) is 2647322666659348123261121355022336000000000
• The square root of 138336131296000 is 11761638.1212822561
• The cube root of 138336131296000 is 51718.4152349589

Scales and comparisons

• 138,336,131,296,000 seconds is equal to 4,398,661 years, 3 weeks, 5 days, 17 hours, 46 minutes, 40 seconds.
• To count from 1 to 138,336,131,296,000 would take you about ten million, nine hundred ninety-six thousand, six hundred fifty-two 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 138336131296000 cubic inches would be around 4309.9 feet tall.

Recreational maths with 138336131296000

• 138336131296000 backwards is 000692131633831
• The number of decimal digits it has is: 15
• The sum of 138336131296000's digits is 46
• More coming soon!