542117899008000000

Names of 542117899008000000

• Cardinal: 542117899008000000 can be written as Five hundred forty-two quadrillion, one hundred seventeen trillion, eight hundred ninety-nine billion, eight million.

Scientific notation

• Scientific notation: 5.42117899008 × 10¹⁷

Factors of 542117899008000000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 32
• Sum of prime factors: 958

Divisors of 542117899008000000

• Number of divisors d(n): 7560
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 81 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 162 168 175 180 189 192 196 200 210 216 224 225 240 243 245 250 252 256 270 280 288 294 300 315 320 324 336 343 350 360 375 378 384 392 400 405 420 432 441 448 450 480 486 490 500 504 512 525 540 560 567 576 588 600 625 630 640 648 672 675 686 700 720 729 735 750 756 768 784 800 810 840 864 875 882 896 900 941 945 960 972 980 1000 1008 1024 1029 1050 1080 1120 1125 1134 1152 1176 1200 1215 1225 1250 1260 1280 1296 1323 1344 1350 1372 1400 1440 1458 1470 1500 1512 1536 1568 1575 1600 1620 1680 1701 1715 1728 1750 1764 1792 1800 1875 1882 1890 1920 1944 1960 2000 2016 2025 2048 2058 2100 2160 2187 2205 2240 2250 2268 2304 2352 2400 2430 2450 2500 2520 2560 2592 2625 2646 2688 2700 2744 2800 2823 2835 2880 2916 2940 3000 3024 3072 3087 3125 3136 3150 3200 3240 3360 3375 3402 3430 3456 3500 3528 3584 3600 3645 3675 3750 3764 3780 3840 3888 3920 3969 4000 4032 4050 4096 4116 4200 4320 4374 4375 4410 4480 4500 4536 4608 4704 4705 4725 4800 4860 4900 5000 5040 5103 5120 5145 5184 5250 5292 5376 5400 5488 5600 5625 5646 5670 5760 5832 5880 6000 6048 6075 6125 6144 6174 6250 6272 6300 6400 6480 6561 6587 6615 6720 6750 6804 6860 6912 7000 7056 7168 7200 7290 7350 7500 7528 7560 7680 7776 7840 7875 7938 8000 8064 8100 8192 8232 8400 8469 8505 8575 8640 8748 8750 8820 8960 9000 9072 9216 9261 9375 9408 9410 9450 9600 9720 9800 10000 10080 10125 10206 10240 10290 10368 10500 10584 10752 10800 10935 10976 11025 11200 11250 11292 11340 11520 11664 11760 11907 12000 12096 12150 12250 12288 12348 12500 12544 12600 12800 12960 13122 13125 13174 13230 13440 13500 13608 13720 13824 14000 14112 14115 14175 14336 14400 14580 14700 15000 15056 15120 15309 15360 15435 15552 15625 15680 15750 15876 16000 16128 16200 16384 16464 16800 16875 16938 17010 17150 17280 17496 17500 17640 17920 18000 18144 18225 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10842357980160000 11063630592000000 11294122896000000 12047064422400000 12907569024000000 13552947475200000 15058830528000000 15489082828800000 16941184344000000 18070596633600000 19361353536000000 20078440704000000 21684715960320000 22588245792000000 25815138048000000 27105894950400000 30117661056000000 33882368688000000 36141193267200000 38722707072000000 45176491584000000 54211789900800000 60235322112000000 67764737376000000 77445414144000000 90352983168000000 108423579801600000 135529474752000000 180705966336000000 271058949504000000 542117899008000000
• Sum of all divisors σ(n): 2373074032654197600
• Sum of proper divisors (its aliquot sum) s(n): 1830956133646197600
• 542117899008000000 is an abundant number, because the sum of its proper divisors (1830956133646197600) is greater than itself. Its abundance is 1288838234638197600

Bases of 542117899008000000

• Binary: 11110000101111111010101101101011100110000001100000000000000₂
• Hexadecimal: 0x785FD5B5CC0C000
• Base-36: 449WR8OW0000

Squares and roots of 542117899008000000

• 542117899008000000 squared (542117899008000000²) is 293891816424848087384064000000000000
• 542117899008000000 cubed (542117899008000000³) is 159324014055883471058215966460608512000000000000000000
• The square root of 542117899008000000 is 736286560.3880054527
• The cube root of 542117899008000000 is 815388.5003421839

Scales and comparisons

• 542,117,899,008,000,000 seconds is equal to 17,237,672,307 years, 36 weeks.
• To count from 1 to 542,117,899,008,000,000 would take you about fifty-one billion, seven hundred thirteen million, sixteen thousand, nine hundred twenty-three 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 542117899008000000 cubic inches would be around 67949 feet tall.

Recreational maths with 542117899008000000

• 542117899008000000 backwards is 000000800998711245
• 542117899008000000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 542117899008000000's digits is 54
• More coming soon!