664642345536000000

Names of 664642345536000000

• Cardinal: 664642345536000000 can be written as Six hundred sixty-four quadrillion, six hundred forty-two trillion, three hundred forty-five billion, five hundred thirty-six million.

Scientific notation

• Scientific notation: 6.64642345536 × 10¹⁷

Factors of 664642345536000000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 28
• Sum of prime factors: 90

Divisors of 664642345536000000

• Number of divisors d(n): 6825
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 67 72 75 78 80 81 90 96 100 104 108 117 120 125 128 130 134 135 144 150 156 160 162 169 180 192 195 200 201 208 216 225 234 240 250 256 260 268 270 288 300 312 320 324 325 335 338 351 360 375 384 390 400 402 405 416 432 450 468 480 500 507 512 520 536 540 576 585 600 603 624 625 640 648 650 670 675 676 702 720 750 768 780 800 804 810 832 845 864 871 900 936 960 975 1000 1005 1014 1024 1040 1053 1072 1080 1125 1152 1170 1200 1206 1248 1250 1280 1296 1300 1340 1350 1352 1404 1440 1500 1521 1536 1560 1600 1608 1620 1625 1664 1675 1690 1728 1742 1755 1800 1809 1872 1875 1920 1950 2000 2010 2025 2028 2048 2080 2106 2144 2160 2197 2250 2304 2340 2400 2412 2496 2500 2535 2560 2592 2600 2613 2680 2700 2704 2808 2880 2925 3000 3015 3042 3072 3120 3125 3200 3216 3240 3250 3328 3350 3375 3380 3456 3484 3510 3600 3618 3744 3750 3840 3900 4000 4020 4050 4056 4096 4160 4212 4225 4288 4320 4355 4394 4489 4500 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41540146596000000 44309489702400000 51126334272000000 55386862128000000 66464234553600000 73849149504000000 83080293192000000 110773724256000000 132928469107200000 166160586384000000 221547448512000000 332321172768000000 664642345536000000
• Sum of all divisors σ(n): 2729355777865402917
• Sum of proper divisors (its aliquot sum) s(n): 2064713432329402917
• 664642345536000000 is an abundant number, because the sum of its proper divisors (2064713432329402917) is greater than itself. Its abundance is 1400071086793402917

Bases of 664642345536000000

• Binary: 100100111001010010001011000100011100010110110001000000000000₂
• Hexadecimal: 0x93948B11C5B1000
• Base-36: 51SC1QDJB400

Squares and roots of 664642345536000000

• 664642345536000000 squared (664642345536000000²) is 441749447479595619127296000000000000
• 664642345536000000 cubed (664642345536000000³) is 293605388912070475797556118801350656000000000000000000
• 664642345536000000 is a perfect square number. Its square root is 815256000
• The cube root of 664642345536000000 is 872695.3645703381

Scales and comparisons

• 664,642,345,536,000,000 seconds is equal to 21,133,570,714 years, 14 weeks, 6 days.
• To count from 1 to 664,642,345,536,000,000 would take you about sixty-three billion, four hundred million, seven hundred twelve thousand, one hundred forty-two 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 664642345536000000 cubic inches would be around 72724.6 feet tall.

Recreational maths with 664642345536000000

• 664642345536000000 backwards is 000000635543246466
• 664642345536000000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 664642345536000000's digits is 54
• More coming soon!