34019764934400000

Names of 34019764934400000

• Cardinal: 34019764934400000 can be written as Thirty-four quadrillion, nineteen trillion, seven hundred sixty-four billion, nine hundred thirty-four million, four hundred thousand.

Scientific notation

• Scientific notation: 3.40197649344 × 10¹⁶

Factors of 34019764934400000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 1828

Divisors of 34019764934400000

• Number of divisors d(n): 5184
• 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 96 100 102 105 112 119 120 125 126 128 136 140 144 150 153 160 168 170 175 180 181 192 200 204 210 224 225 238 240 250 252 255 256 272 280 288 289 300 306 315 320 336 340 350 357 360 362 375 384 400 408 420 425 448 450 476 480 500 504 510 512 525 543 544 560 576 578 595 600 612 625 630 640 672 680 700 714 720 724 750 765 768 800 816 840 850 867 875 896 900 905 952 960 1000 1008 1020 1024 1050 1071 1086 1088 1120 1125 1152 1156 1190 1200 1224 1250 1260 1267 1275 1280 1344 1360 1400 1428 1440 1445 1448 1500 1530 1536 1575 1600 1613 1629 1632 1680 1700 1734 1750 1785 1792 1800 1810 1875 1904 1920 2000 2016 2023 2040 2048 2100 2125 2142 2172 2176 2240 2250 2304 2312 2380 2400 2448 2500 2520 2534 2550 2560 2601 2625 2688 2715 2720 2800 2856 2880 2890 2896 2975 3000 3060 3072 3077 3125 3150 3200 3226 3258 3264 3360 3400 3468 3500 3570 3584 3600 3620 3750 3801 3808 3825 3840 4000 4032 4046 4080 4200 4250 4284 4335 4344 4352 4375 4480 4500 4525 4608 4624 4760 4800 4839 4896 5000 5040 5068 5100 5120 5202 5250 5355 5376 5430 5440 5600 5625 5712 5760 5780 5792 5950 6000 6069 6120 6144 6154 6250 6300 6335 6375 6400 6452 6516 6528 6720 6800 6936 7000 7140 7168 7200 7225 7240 7500 7602 7616 7650 7680 7875 8000 8064 8065 8092 8145 8160 8400 8500 8568 8670 8688 8704 8750 8925 8960 9000 9050 9216 9231 9248 9375 9520 9600 9678 9792 10000 10080 10115 10136 10200 10240 10404 10500 10625 10710 10752 10860 10880 11200 11250 11291 11403 11424 11520 11560 11584 11900 12000 12138 12240 12308 12500 12600 12670 12750 12800 12904 13005 13032 13056 13125 13440 13575 13600 13872 14000 14280 14336 14400 14450 14480 14517 14875 15000 15204 15232 15300 15360 15385 15750 16000 16128 16130 16184 16290 16320 16800 17000 17136 17340 17376 17408 17500 17850 17920 18000 18100 18207 18432 18462 18496 18750 19005 19040 19125 19200 19356 19584 20000 20160 20230 20272 20400 20808 21000 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• Sum of all divisors σ(n): 150014340888310080
• Sum of proper divisors (its aliquot sum) s(n): 115994575953910080
• 34019764934400000 is an abundant number, because the sum of its proper divisors (115994575953910080) is greater than itself. Its abundance is 81974811019510080

Bases of 34019764934400000

• Binary: 1111000110111001100101111000100010000011101100000000000₂
• Hexadecimal: 0x78DCCBC441D800
• Base-36: 9AZ0099N280

Squares and roots of 34019764934400000

• 34019764934400000 squared (34019764934400000²) is 1157344406191831836303360000000000
• 34019764934400000 cubed (34019764934400000³) is 39372584646788870944374607448899584000000000000000
• The square root of 34019764934400000 is 184444476.5624603897
• The cube root of 34019764934400000 is 324023.9431780033

Scales and comparisons

• 34,019,764,934,400,000 seconds is equal to 1,081,723,294 years, 45 weeks, 2 days, 8 hours.
• To count from 1 to 34,019,764,934,400,000 would take you about three billion, two hundred forty-five million, one hundred sixty-nine thousand, eight 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 34019764934400000 cubic inches would be around 27002 feet tall.

Recreational maths with 34019764934400000

• 34019764934400000 backwards is 00000443946791043
• The number of decimal digits it has is: 17
• The sum of 34019764934400000's digits is 54
• More coming soon!