27829968320000000

Names of 27829968320000000

• Cardinal: 27829968320000000 can be written as Twenty-seven quadrillion, eight hundred twenty-nine trillion, nine hundred sixty-eight billion, three hundred twenty million.

Scientific notation

• Scientific notation: 2.782996832 × 10¹⁶

Factors of 27829968320000000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 150

Divisors of 27829968320000000

• Number of divisors d(n): 4992
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 29 32 34 35 40 44 50 55 56 58 64 68 70 77 79 80 85 88 100 110 112 116 119 125 128 136 140 145 154 158 160 170 175 176 187 200 203 220 224 232 238 250 256 272 275 280 290 308 316 319 320 340 350 352 374 385 395 400 406 425 440 448 464 476 493 500 512 544 550 553 560 580 595 616 625 632 638 640 680 700 704 725 748 770 790 800 812 841 850 869 875 880 896 928 935 952 986 1000 1015 1024 1088 1100 1106 1120 1160 1190 1232 1250 1264 1276 1280 1309 1343 1360 1375 1400 1408 1450 1496 1540 1580 1595 1600 1624 1682 1700 1738 1750 1760 1792 1856 1870 1904 1925 1972 1975 2000 2030 2048 2125 2176 2200 2212 2233 2240 2291 2320 2380 2464 2465 2500 2528 2552 2560 2618 2686 2720 2750 2765 2800 2816 2900 2975 2992 3080 3125 3160 3190 3200 3248 3364 3400 3451 3476 3500 3520 3584 3625 3712 3740 3808 3850 3944 3950 4000 4060 4096 4205 4250 4345 4352 4375 4400 4424 4466 4480 4582 4640 4675 4760 4928 4930 5000 5056 5075 5104 5120 5236 5372 5423 5440 5500 5530 5600 5632 5800 5887 5950 5984 6083 6160 6250 6320 6380 6400 6496 6545 6715 6728 6800 6875 6902 6952 7000 7040 7168 7250 7424 7480 7616 7700 7888 7900 7975 8000 8120 8410 8500 8690 8704 8750 8800 8848 8932 8960 9164 9251 9280 9350 9401 9520 9625 9856 9860 9875 10000 10112 10150 10208 10240 10472 10625 10744 10846 10880 11000 11060 11165 11200 11264 11455 11600 11774 11900 11968 12166 12320 12325 12500 12640 12760 12800 12992 13090 13430 13456 13600 13750 13804 13825 13904 14000 14080 14297 14336 14500 14773 14848 14875 14960 15232 15400 15625 15776 15800 15950 16000 16037 16240 16820 17000 17255 17380 17408 17500 17600 17696 17864 17920 18125 18328 18502 18560 18700 18802 19040 19250 19712 19720 19750 20000 20224 20300 20416 20480 20944 21025 21250 21488 21692 21725 21760 21875 22000 22120 22330 22400 22528 22910 23200 23375 23548 23800 23936 24332 24640 24650 25000 25201 25280 25375 25520 25600 25984 26180 26860 26912 27115 27200 27500 27608 27650 27808 28000 28160 28594 28672 29000 29435 29546 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• Sum of all divisors σ(n): 96313626936483840
• Sum of proper divisors (its aliquot sum) s(n): 68483658616483840
• 27829968320000000 is an abundant number, because the sum of its proper divisors (68483658616483840) is greater than itself. Its abundance is 40653690296483840

Bases of 27829968320000000

• Binary: 1100010110111110011010101101111110100101111000000000000₂
• Hexadecimal: 0x62DF356FD2F000
• Base-36: 7M0WEY58MBK

Squares and roots of 27829968320000000

• 27829968320000000 squared (27829968320000000²) is 774507136692203622400000000000000
• 27829968320000000 cubed (27829968320000000³) is 21554509077757936402381242368000000000000000000000
• The square root of 27829968320000000 is 166823164.8183189217
• The cube root of 27829968320000000 is 303042.9864909231

Scales and comparisons

• 27,829,968,320,000,000 seconds is equal to 884,906,908 years, 43 weeks, 1 day, 19 hours, 33 minutes, 20 seconds.
• To count from 1 to 27,829,968,320,000,000 would take you about two billion, six hundred fifty-four million, seven hundred twenty thousand, seven hundred twenty-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 27829968320000000 cubic inches would be around 25253.6 feet tall.

Recreational maths with 27829968320000000

• 27829968320000000 backwards is 00000002386992872
• 27829968320000000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 27829968320000000's digits is 56
• More coming soon!