21148319001600000

Names of 21148319001600000

• Cardinal: 21148319001600000 can be written as Twenty-one quadrillion, one hundred forty-eight trillion, three hundred nineteen billion, one million, six hundred thousand.

Scientific notation

• Scientific notation: 2.11483190016 × 10¹⁶

Factors of 21148319001600000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 191

Divisors of 21148319001600000

• Number of divisors d(n): 5040
• 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 50 51 56 60 63 64 68 70 72 75 80 84 85 90 96 100 102 105 112 119 120 125 126 128 136 140 144 150 153 157 160 168 170 175 180 192 200 204 210 224 225 238 240 250 252 255 256 272 280 288 289 300 306 314 315 320 336 340 350 357 360 375 384 400 408 420 425 448 450 471 476 480 500 504 510 512 525 544 560 576 578 595 600 612 625 628 630 640 672 680 700 714 720 750 765 768 785 800 816 840 850 867 875 896 900 942 952 960 1000 1008 1020 1024 1050 1071 1088 1099 1120 1125 1152 1156 1190 1200 1224 1250 1256 1260 1275 1280 1344 1360 1400 1413 1428 1440 1445 1500 1530 1536 1570 1575 1600 1632 1680 1700 1734 1750 1785 1792 1800 1875 1884 1904 1920 2000 2016 2023 2040 2048 2100 2125 2142 2176 2198 2240 2250 2304 2312 2355 2380 2400 2448 2500 2512 2520 2550 2560 2601 2625 2669 2688 2720 2800 2826 2856 2880 2890 2975 3000 3060 3072 3125 3140 3150 3200 3264 3297 3360 3400 3468 3500 3570 3584 3600 3750 3768 3808 3825 3840 3925 4000 4032 4046 4080 4096 4200 4250 4284 4335 4352 4375 4396 4480 4500 4608 4624 4710 4760 4800 4896 4913 5000 5024 5040 5100 5120 5202 5250 5338 5355 5376 5440 5495 5600 5625 5652 5712 5760 5780 5950 6000 6069 6120 6144 6250 6280 6300 6375 6400 6528 6594 6720 6800 6936 7000 7065 7140 7168 7200 7225 7500 7536 7616 7650 7680 7850 7875 8000 8007 8064 8092 8160 8192 8400 8500 8568 8670 8704 8750 8792 8925 8960 9000 9216 9248 9375 9420 9520 9600 9792 9826 9891 10000 10048 10080 10115 10200 10240 10404 10500 10625 10676 10710 10752 10880 10990 11200 11250 11304 11424 11520 11560 11775 11900 12000 12138 12240 12288 12500 12560 12600 12750 12800 13005 13056 13125 13188 13345 13440 13600 13872 14000 14130 14280 14336 14400 14450 14739 14875 15000 15072 15232 15300 15360 15700 15750 16000 16014 16128 16184 16320 16485 16800 17000 17136 17340 17408 17500 17584 17850 17920 18000 18207 18432 18496 18683 18750 18840 19040 19125 19200 19584 19625 19652 19782 20000 20096 20160 20230 20400 20480 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• Sum of all divisors σ(n): 93312626714719776
• Sum of proper divisors (its aliquot sum) s(n): 72164307713119776
• 21148319001600000 is an abundant number, because the sum of its proper divisors (72164307713119776) is greater than itself. Its abundance is 51015988711519776

Bases of 21148319001600000

• Binary: 1001011001000100100100010111001101011111110000000000000₂
• Hexadecimal: 0x4B2248B9AFE000
• Base-36: 5S8GBMK4XS0

Squares and roots of 21148319001600000

• 21148319001600000 squared (21148319001600000²) is 447251396593435620802560000000000
• 21148319001600000 cubed (21148319001600000³) is 9458615209069092049245071889924096000000000000000
• The square root of 21148319001600000 is 145424616.2161000855
• The cube root of 21148319001600000 is 276540.4196577575

Scales and comparisons

• 21,148,319,001,600,000 seconds is equal to 672,451,128 years, 10 weeks, 4 days, 16 hours.
• To count from 1 to 21,148,319,001,600,000 would take you about two billion, seventeen million, three hundred fifty-three thousand, three 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 21148319001600000 cubic inches would be around 23045 feet tall.

Recreational maths with 21148319001600000

• 21148319001600000 backwards is 00000610091384112
• 21148319001600000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 21148319001600000's digits is 36
• More coming soon!