10385971948800000

Names of 10385971948800000

• Cardinal: 10385971948800000 can be written as Ten quadrillion, three hundred eighty-five trillion, nine hundred seventy-one billion, nine hundred forty-eight million, eight hundred thousand.

Scientific notation

• Scientific notation: 1.03859719488 × 10¹⁶

Factors of 10385971948800000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 141

Divisors of 10385971948800000

• Number of divisors d(n): 6912
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 28 30 32 34 35 36 40 42 45 48 49 50 51 56 60 63 64 68 70 72 75 80 84 85 90 96 98 100 102 105 107 112 119 120 125 126 128 136 140 144 147 150 153 160 168 170 175 180 192 196 200 204 210 214 224 225 238 240 245 250 252 255 256 272 280 288 289 294 300 306 315 320 321 336 340 343 350 357 360 375 384 392 400 408 420 425 428 441 448 450 476 480 490 500 504 510 512 525 535 544 560 576 578 588 595 600 612 625 630 640 642 672 680 686 700 714 720 735 749 750 765 768 784 800 816 833 840 850 856 867 875 882 896 900 952 960 963 980 1000 1008 1020 1024 1029 1050 1070 1071 1088 1120 1125 1152 1156 1176 1190 1200 1224 1225 1250 1260 1275 1280 1284 1344 1360 1372 1400 1428 1440 1445 1470 1498 1500 1530 1536 1568 1575 1600 1605 1632 1666 1680 1700 1712 1715 1734 1750 1764 1785 1792 1800 1819 1875 1904 1920 1926 1960 2000 2016 2023 2040 2048 2058 2100 2125 2140 2142 2176 2205 2240 2247 2250 2304 2312 2352 2380 2400 2448 2450 2499 2500 2520 2550 2560 2568 2601 2625 2675 2688 2720 2744 2800 2856 2880 2890 2940 2975 2996 3000 3060 3072 3087 3125 3136 3150 3200 3210 3264 3332 3360 3400 3424 3430 3468 3500 3528 3570 3584 3600 3638 3675 3745 3750 3808 3825 3840 3852 3920 4000 4032 4046 4080 4116 4165 4200 4250 4280 4284 4335 4352 4375 4410 4480 4494 4500 4608 4624 4704 4760 4800 4815 4896 4900 4913 4998 5000 5040 5100 5120 5136 5145 5202 5243 5250 5350 5355 5376 5440 5457 5488 5600 5625 5712 5760 5780 5831 5880 5950 5992 6000 6069 6120 6125 6144 6174 6250 6272 6300 6375 6400 6420 6528 6664 6720 6741 6800 6848 6860 6936 7000 7056 7140 7168 7200 7225 7276 7350 7490 7497 7500 7616 7650 7680 7704 7840 7875 8000 8025 8064 8092 8160 8232 8330 8400 8500 8560 8568 8575 8670 8704 8750 8820 8925 8960 8988 9000 9095 9216 9248 9375 9408 9520 9600 9630 9792 9800 9826 9996 10000 10080 10115 10200 10240 10272 10290 10404 10486 10500 10625 10700 10710 10752 10880 10914 10976 11025 11200 11235 11250 11424 11520 11560 11662 11760 11900 11984 12000 12138 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• Sum of all divisors σ(n): 46890379448640000
• Sum of proper divisors (its aliquot sum) s(n): 36504407499840000
• 10385971948800000 is an abundant number, because the sum of its proper divisors (36504407499840000) is greater than itself. Its abundance is 26118435551040000

Bases of 10385971948800000

• Binary: 100100111001011111110010001000101001111100100000000000₂
• Hexadecimal: 0x24E5FC88A7C800
• Base-36: 2U9IPN8GSG0

Squares and roots of 10385971948800000

• 10385971948800000 squared (10385971948800000²) is 107868413321260469821440000000000
• 10385971948800000 cubed (10385971948800000³) is 1120318314916175482223784784822272000000000000000
• The square root of 10385971948800000 is 101911588.8836985999
• The cube root of 10385971948800000 is 218180.3906885393

Scales and comparisons

• 10,385,971,948,800,000 seconds is equal to 330,241,782 years, 2 weeks, 4 days, 16 hours.
• To count from 1 to 10,385,971,948,800,000 would take you about nine hundred ninety million, seven hundred twenty-five thousand, three hundred forty-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 10385971948800000 cubic inches would be around 18181.7 feet tall.

Recreational maths with 10385971948800000

• 10385971948800000 backwards is 00000884917958301
• 10385971948800000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 10385971948800000's digits is 63
• More coming soon!