13820115456000

Names of 13820115456000

• Cardinal: 13820115456000 can be written as Thirteen trillion, eight hundred twenty billion, one hundred fifteen million, four hundred fifty-six thousand.

Scientific notation

• Scientific notation: 1.3820115456 × 10¹³

Factors of 13820115456000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 336

Divisors of 13820115456000

• Number of divisors d(n): 3328
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 31 32 34 35 36 40 42 45 48 50 51 54 56 60 62 63 64 68 70 72 75 80 84 85 90 93 96 100 102 105 108 112 119 120 124 125 126 128 135 136 140 144 150 153 155 160 168 170 175 180 186 189 192 200 204 210 216 217 224 225 238 240 248 250 252 255 256 270 271 272 279 280 288 300 306 310 315 320 336 340 350 357 360 372 375 378 384 400 408 420 425 432 434 448 450 459 465 476 480 496 500 504 510 512 525 527 540 542 544 558 560 576 595 600 612 620 630 640 651 672 675 680 700 714 720 744 750 756 765 768 775 800 813 816 837 840 850 864 868 875 896 900 918 930 945 952 960 992 1000 1008 1020 1024 1050 1054 1071 1080 1084 1085 1088 1116 1120 1125 1152 1190 1200 1224 1240 1260 1275 1280 1302 1344 1350 1355 1360 1395 1400 1428 1440 1488 1500 1512 1530 1536 1550 1575 1581 1600 1626 1632 1674 1680 1700 1728 1736 1750 1785 1792 1800 1836 1860 1890 1897 1904 1920 1953 1984 2000 2016 2040 2048 2100 2108 2125 2142 2160 2168 2170 2176 2232 2240 2250 2295 2304 2325 2380 2400 2439 2448 2480 2520 2550 2560 2604 2625 2635 2688 2700 2710 2720 2790 2800 2856 2880 2975 2976 3000 3024 3060 3072 3100 3150 3162 3200 3213 3252 3255 3264 3348 3360 3375 3400 3456 3472 3500 3570 3584 3600 3672 3689 3720 3780 3794 3808 3825 3840 3875 3906 3968 4000 4032 4065 4080 4096 4185 4200 4216 4250 4284 4320 4336 4340 4352 4464 4480 4500 4590 4607 4608 4650 4725 4743 4760 4800 4878 4896 4960 5040 5100 5120 5208 5250 5270 5355 5376 5400 5420 5425 5440 5580 5600 5691 5712 5760 5859 5950 5952 6000 6048 6120 6144 6200 6300 6324 6375 6400 6426 6504 6510 6528 6696 6720 6750 6775 6800 6912 6944 6975 7000 7140 7168 7200 7317 7344 7378 7440 7560 7588 7616 7650 7680 7750 7812 7875 7905 7936 8000 8064 8130 8160 8370 8400 8401 8432 8500 8568 8640 8672 8680 8704 8925 8928 8960 9000 9180 9214 9216 9300 9450 9485 9486 9520 9600 9756 9765 9792 9920 10080 10200 10240 10416 10500 10540 10710 10752 10800 10840 10850 10880 11067 11160 11200 11382 11424 11475 11520 11625 11718 11900 11904 12000 12096 12195 12240 12288 12400 12600 12648 12750 12800 12852 13008 13020 13056 13175 13392 13440 13500 13550 13600 13821 13824 13888 13950 14000 14229 14280 14336 14400 14634 14688 14756 14875 14880 15120 15176 15232 15300 15360 15500 15624 15750 15810 15872 16000 16065 16128 16260 16275 16320 16740 16800 16802 16864 17000 17073 17136 17280 17344 17360 17408 17850 17856 17920 18000 18360 18428 18432 18445 18600 18900 18970 18972 19040 19125 19200 19512 19530 19584 19840 20160 20325 20400 20480 20832 20925 21000 21080 21420 21504 21600 21680 21700 21760 22134 22320 22400 22764 22848 22950 23035 23040 23250 23436 23625 23715 23800 23808 24000 24192 24390 24480 24800 25200 25203 25296 25500 25600 25704 26016 26040 26112 26350 26775 26784 26880 27000 27100 27125 27200 27642 27648 27776 27900 28000 28455 28458 28560 28672 28800 29268 29295 29376 29512 29750 29760 30240 30352 30464 30600 30720 31000 31248 31500 31620 31744 32000 32130 32249 32256 32520 32550 32640 33201 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86375721600 89162035200 90327552000 92134103040 95973024000 98715110400 101618496000 102371225600 107969652000 109683456000 110560923648 111452544000 115167628800 116135424000 123393888000 127964032000 131620147200 135491328000 138201154560 143959536000 148603392000 153556838400 162589593600 164525184000 172751443200 184268206080 191946048000 197430220800 203236992000 215939304000 219366912000 222905088000 230335257600 246787776000 255928064000 270982656000 276402309120 287919072000 307113676800 329050368000 345502886400 383892096000 394860441600 406473984000 431878608000 445810176000 460670515200 493575552000 511856128000 552804618240 575838144000 658100736000 691005772800 767784192000 812947968000 863757216000 921341030400 987151104000 1151676288000 1382011545600 1535568384000 1727514432000 1974302208000 2303352576000 2764023091200 3455028864000 4606705152000 6910057728000 13820115456000
• Sum of all divisors σ(n): 64062353571840
• Sum of proper divisors (its aliquot sum) s(n): 50242238115840
• 13820115456000 is an abundant number, because the sum of its proper divisors (50242238115840) is greater than itself. Its abundance is 36422122659840

Bases of 13820115456000

• Binary: 11001001000110111111000100101001000000000000₂
• Hexadecimal: 0xC91BF129000
• Base-36: 4WCVFX1C0

Squares and roots of 13820115456000

• 13820115456000 squared (13820115456000²) is 190995591217170087936000000
• 13820115456000 cubed (13820115456000³) is 2639581122208270184865192738816000000000
• The square root of 13820115456000 is 3717541.5876624703
• The cube root of 13820115456000 is 23997.7517894045

Scales and comparisons

• 13,820,115,456,000 seconds is equal to 439,436 years, 48 weeks.
• To count from 1 to 13,820,115,456,000 would take you about one million, ninety-eight thousand, five hundred ninety-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 13820115456000 cubic inches would be around 1999.8 feet tall.

Recreational maths with 13820115456000

• 13820115456000 backwards is 00065451102831
• 13820115456000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13820115456000's digits is 36
• More coming soon!