12735102320640000

Names of 12735102320640000

• Cardinal: 12735102320640000 can be written as Twelve quadrillion, seven hundred thirty-five trillion, one hundred two billion, three hundred twenty million, six hundred forty thousand.

Scientific notation

• Scientific notation: 1.273510232064 × 10¹⁶

Factors of 12735102320640000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 38
• Sum of prime factors: 34

Divisors of 12735102320640000

• Number of divisors d(n): 5460
• 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 98 100 102 105 108 112 119 120 125 126 128 135 136 140 144 147 150 153 160 162 168 170 175 180 189 192 196 200 204 210 216 224 225 238 240 243 245 250 252 255 256 270 272 280 288 294 300 306 315 320 324 336 340 350 357 360 375 378 384 392 400 405 408 420 425 432 441 448 450 459 476 480 486 490 500 504 510 512 525 540 544 560 567 576 588 595 600 612 625 630 640 648 672 675 680 700 714 720 729 735 750 756 765 768 784 800 810 816 833 840 850 864 875 882 896 900 918 945 952 960 972 980 1000 1008 1020 1024 1050 1071 1080 1088 1120 1125 1134 1152 1176 1190 1200 1215 1224 1225 1250 1260 1275 1280 1296 1323 1344 1350 1360 1377 1400 1428 1440 1458 1470 1500 1512 1530 1536 1568 1575 1600 1620 1632 1666 1680 1700 1701 1728 1750 1764 1785 1792 1800 1836 1875 1890 1904 1920 1944 1960 2000 2016 2025 2040 2048 2100 2125 2142 2160 2176 2205 2240 2250 2268 2295 2304 2352 2380 2400 2430 2448 2450 2499 2500 2520 2550 2560 2592 2625 2646 2688 2700 2720 2754 2800 2835 2856 2880 2916 2940 2975 3000 3024 3060 3072 3136 3150 3200 3213 3240 3264 3332 3360 3375 3400 3402 3456 3500 3528 3570 3584 3600 3645 3672 3675 3750 3780 3808 3825 3840 3888 3920 3969 4000 4032 4050 4080 4096 4131 4165 4200 4250 4284 4320 4352 4375 4410 4480 4500 4536 4590 4608 4704 4725 4760 4800 4860 4896 4900 4998 5000 5040 5100 5103 5120 5184 5250 5292 5355 5376 5400 5440 5508 5600 5625 5670 5712 5760 5832 5880 5950 6000 6048 6075 6120 6125 6144 6272 6300 6375 6400 6426 6480 6528 6615 6664 6720 6750 6800 6804 6885 6912 7000 7056 7140 7168 7200 7290 7344 7350 7497 7500 7560 7616 7650 7680 7776 7840 7875 7938 8000 8064 8100 8160 8192 8262 8330 8400 8500 8505 8568 8640 8704 8750 8820 8925 8960 9000 9072 9180 9216 9408 9450 9520 9600 9639 9720 9792 9800 9996 10000 10080 10125 10200 10206 10240 10368 10500 10584 10625 10710 10752 10800 10880 11016 11025 11200 11250 11340 11424 11475 11520 11664 11760 11900 11907 12000 12096 12150 12240 12250 12288 12393 12495 12544 12600 12750 12800 12852 12960 13056 13125 13230 13328 13440 13500 13600 13608 13770 13824 14000 14112 14175 14280 14336 14400 14580 14688 14700 14875 14994 15000 15120 15232 15300 15360 15552 15680 15750 15876 16000 16065 16128 16200 16320 16384 16524 16660 16800 16875 17000 17010 17136 17280 17408 17500 17640 17850 17920 18000 18144 18225 18360 18375 18432 18816 18900 19040 19125 19200 19278 19440 19584 19600 19845 19992 20000 20160 20250 20400 20412 20480 20655 20736 20825 21000 21168 21250 21420 21504 21600 21760 22032 22050 22400 22491 22500 22680 22848 22950 23040 23328 23520 23625 23800 23814 24000 24192 24300 24480 24500 24576 24786 24990 25088 25200 25500 25515 25600 25704 25920 26112 26250 26460 26656 26775 26880 27000 27200 27216 27540 27648 28000 28224 28350 28560 28672 28800 28917 29160 29376 29400 29750 29988 30000 30240 30375 30464 30600 30625 30720 31104 31360 31500 31752 31875 32000 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707505684480000 749123665920000 795943895040000 849006821376000 909650165760000 1061258526720000 1273510232064000 1415011368960000 1591887790080000 1819300331520000 2122517053440000 2547020464128000 3183775580160000 4245034106880000 6367551160320000 12735102320640000
• Sum of all divisors σ(n): 58775784890560254
• Sum of proper divisors (its aliquot sum) s(n): 46040682569920254
• 12735102320640000 is an abundant number, because the sum of its proper divisors (46040682569920254) is greater than itself. Its abundance is 33305580249280254

Bases of 12735102320640000

• Binary: 101101001111101000001000010010000000000000000000000000₂
• Hexadecimal: 0x2D3E8212000000
• Base-36: 3HE7T8N4000

Squares and roots of 12735102320640000

• 12735102320640000 squared (12735102320640000²) is 162182831117170313370009600000000
• 12735102320640000 cubed (12735102320640000³) is 2065414948928240861548525275939078144000000000000
• The square root of 12735102320640000 is 112849910.5920780071
• The cube root of 12735102320640000 is 233525.4116027617

Scales and comparisons

• 12,735,102,320,640,000 seconds is equal to 404,936,861 years, 28 weeks.
• To count from 1 to 12,735,102,320,640,000 would take you about one billion, two hundred fourteen million, eight hundred ten thousand, five hundred eighty-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 12735102320640000 cubic inches would be around 19460.5 feet tall.

Recreational maths with 12735102320640000

• 12735102320640000 backwards is 00004602320153721
• 12735102320640000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12735102320640000's digits is 36
• More coming soon!