12980368128000000

Names of 12980368128000000

• Cardinal: 12980368128000000 can be written as Twelve quadrillion, nine hundred eighty trillion, three hundred sixty-eight billion, one hundred twenty-eight million.

Scientific notation

• Scientific notation: 1.2980368128 × 10¹⁶

Factors of 12980368128000000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 187

Divisors of 12980368128000000

• Number of divisors d(n): 5040
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 49 50 52 56 60 64 65 70 75 78 80 84 91 96 98 100 104 105 112 120 125 128 130 140 147 150 156 157 160 168 169 175 182 192 195 196 200 208 210 224 240 245 250 256 260 273 280 294 300 312 314 320 325 336 338 350 364 375 384 390 392 400 416 420 448 455 471 480 490 500 507 512 520 525 546 560 588 600 624 625 628 637 640 650 672 676 700 728 735 750 768 780 784 785 800 832 840 845 875 896 910 942 960 975 980 1000 1014 1024 1040 1050 1092 1099 1120 1176 1183 1200 1225 1248 1250 1256 1274 1280 1300 1344 1352 1365 1400 1456 1470 1500 1536 1560 1568 1570 1600 1625 1664 1680 1690 1750 1792 1820 1875 1884 1911 1920 1950 1960 2000 2028 2041 2048 2080 2100 2184 2197 2198 2240 2275 2352 2355 2366 2400 2450 2496 2500 2512 2535 2548 2560 2600 2625 2688 2704 2730 2800 2912 2940 3000 3072 3120 3125 3136 3140 3185 3200 3250 3297 3328 3360 3380 3500 3549 3584 3640 3675 3750 3768 3822 3840 3900 3920 3925 4000 4056 4082 4096 4160 4200 4225 4368 4375 4394 4396 4480 4550 4704 4710 4732 4800 4875 4900 4992 5000 5024 5070 5096 5120 5200 5250 5376 5408 5460 5495 5600 5824 5880 5915 6000 6123 6125 6144 6240 6250 6272 6280 6370 6400 6500 6591 6594 6656 6720 6760 6825 7000 7098 7168 7280 7350 7500 7536 7644 7680 7693 7800 7840 7850 8000 8112 8125 8164 8192 8281 8320 8400 8450 8736 8750 8788 8792 8960 9100 9375 9408 9420 9464 9555 9600 9750 9800 9984 10000 10048 10140 10192 10205 10240 10400 10500 10752 10816 10920 10985 10990 11200 11375 11648 11760 11775 11830 12000 12246 12250 12288 12480 12500 12544 12560 12675 12740 12800 13000 13125 13182 13188 13312 13440 13520 13650 14000 14196 14287 14336 14560 14700 15000 15072 15288 15360 15379 15386 15600 15625 15680 15700 15925 16000 16224 16250 16328 16384 16485 16562 16640 16800 16900 17472 17500 17576 17584 17745 17920 18200 18375 18750 18816 18840 18928 19110 19200 19500 19600 19625 19968 20000 20096 20280 20384 20410 20480 20800 21000 21125 21504 21632 21840 21875 21970 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649018406400000 811273008000000 865357875200000 927169152000000 998489856000000 1081697344000000 1298036812800000 1622546016000000 1854338304000000 2163394688000000 2596073625600000 3245092032000000 4326789376000000 6490184064000000 12980368128000000
• Sum of all divisors σ(n): 54869379909822240
• Sum of proper divisors (its aliquot sum) s(n): 41889011781822240
• 12980368128000000 is an abundant number, because the sum of its proper divisors (41889011781822240) is greater than itself. Its abundance is 28908643653822240

Bases of 12980368128000000

• Binary: 101110000111011001001101110111010100101100000000000000₂
• Hexadecimal: 0x2E1D937752C000
• Base-36: 3JT5MSO8K5C

Squares and roots of 12980368128000000

• 12980368128000000 squared (12980368128000000²) is 168489956738398224384000000000000
• 12980368128000000 cubed (12980368128000000³) is 2187061664335203145565866033152000000000000000000
• The square root of 12980368128000000 is 113931418.5288676199
• The cube root of 12980368128000000 is 235015.0473418967

Scales and comparisons

• 12,980,368,128,000,000 seconds is equal to 412,735,555 years, 28 weeks, 6 days, 5 hours, 20 minutes.
• To count from 1 to 12,980,368,128,000,000 would take you about one billion, two hundred thirty-eight million, two hundred six thousand, six hundred sixty-six 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 12980368128000000 cubic inches would be around 19584.6 feet tall.

Recreational maths with 12980368128000000

• 12980368128000000 backwards is 00000082186308921
• 12980368128000000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12980368128000000's digits is 48
• More coming soon!