13007444940000000

Names of 13007444940000000

• Cardinal: 13007444940000000 can be written as Thirteen quadrillion, seven trillion, four hundred forty-four billion, nine hundred forty million.

Scientific notation

• Scientific notation: 1.300744494 × 10¹⁶

Factors of 13007444940000000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 28
• Sum of prime factors: 34

Divisors of 13007444940000000

• Number of divisors d(n): 7776
• 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 32 34 35 36 40 42 45 48 49 50 51 54 56 60 63 64 68 70 72 75 80 81 84 85 90 96 98 100 102 105 108 112 119 120 125 126 128 135 136 140 144 147 150 153 160 162 168 170 175 180 189 192 196 200 204 210 216 224 225 238 240 243 245 250 252 255 256 270 272 280 288 289 294 300 306 315 320 324 336 340 343 350 357 360 375 378 384 392 400 405 408 420 425 432 441 448 450 459 476 480 486 490 500 504 510 525 540 544 560 567 576 578 588 595 600 612 625 630 640 648 672 675 680 686 700 714 720 729 735 750 756 765 768 784 800 810 816 833 840 850 864 867 875 882 896 900 918 945 952 960 972 980 1000 1008 1020 1029 1050 1071 1080 1088 1120 1125 1134 1152 1156 1176 1190 1200 1215 1224 1225 1250 1260 1275 1280 1296 1323 1344 1350 1360 1372 1377 1400 1428 1440 1445 1458 1470 1500 1512 1530 1568 1575 1600 1620 1632 1666 1680 1700 1701 1715 1728 1734 1750 1764 1785 1792 1800 1836 1875 1890 1904 1920 1944 1960 2000 2016 2023 2025 2040 2058 2100 2125 2142 2160 2176 2187 2205 2240 2250 2268 2295 2304 2312 2352 2380 2400 2430 2448 2450 2499 2500 2520 2550 2592 2601 2625 2646 2688 2700 2720 2744 2754 2800 2835 2856 2880 2890 2916 2940 2975 3000 3024 3060 3087 3125 3136 3150 3200 3213 3240 3264 3332 3360 3375 3400 3402 3430 3456 3468 3500 3528 3570 3600 3645 3672 3675 3750 3780 3808 3825 3840 3888 3920 3969 4000 4032 4046 4050 4080 4116 4131 4165 4200 4250 4284 4320 4335 4352 4374 4375 4410 4480 4500 4536 4590 4624 4704 4725 4760 4800 4860 4896 4900 4998 5000 5040 5100 5103 5145 5184 5202 5250 5292 5355 5376 5400 5440 5488 5508 5600 5625 5670 5712 5760 5780 5831 5832 5880 5950 6000 6048 6069 6075 6120 6125 6174 6250 6272 6300 6375 6400 6426 6480 6528 6561 6615 6664 6720 6750 6800 6804 6860 6885 6912 6936 7000 7056 7140 7200 7225 7290 7344 7350 7497 7500 7560 7616 7650 7776 7803 7840 7875 7938 8000 8064 8092 8100 8160 8232 8262 8330 8400 8500 8505 8568 8575 8640 8670 8748 8750 8820 8925 8960 9000 9072 9180 9248 9261 9375 9408 9450 9520 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371641284000000 382571910000000 406482654375000 433581498000000 464551605000000 481757220000000 520297797600000 541976872500000 619402140000000 650372247000000 722635830000000 765143820000000 812965308750000 867162996000000 929103210000000 1083953745000000 1300744494000000 1445271660000000 1625930617500000 1858206420000000 2167907490000000 2601488988000000 3251861235000000 4335814980000000 6503722470000000 13007444940000000
• Sum of all divisors σ(n): 60305570500156800
• Sum of proper divisors (its aliquot sum) s(n): 47298125560156800
• 13007444940000000 is an abundant number, because the sum of its proper divisors (47298125560156800) is greater than itself. Its abundance is 34290680620156800

Bases of 13007444940000000

• Binary: 101110001101100011001111000111000101011000101100000000₂
• Hexadecimal: 0x2E3633C7158B00
• Base-36: 3K2R5PN0000

Squares and roots of 13007444940000000

• 13007444940000000 squared (13007444940000000²) is 169193623867131603600000000000000
• 13007444940000000 cubed (13007444940000000³) is 2200776746650784209560905784000000000000000000000
• The square root of 13007444940000000 is 114050186.0585943981
• The cube root of 13007444940000000 is 235178.3462207833

Scales and comparisons

• 13,007,444,940,000,000 seconds is equal to 413,596,514 years, 22 weeks.
• To count from 1 to 13,007,444,940,000,000 would take you about one billion, two hundred forty million, seven hundred eighty-nine thousand, five hundred forty-three 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 13007444940000000 cubic inches would be around 19598.2 feet tall.

Recreational maths with 13007444940000000

• 13007444940000000 backwards is 00000004944470031
• 13007444940000000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13007444940000000's digits is 36
• More coming soon!