54148968806400000
54,148,968,806,400,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 54148968806400000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4320 divisors.
54148968806400000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 54148968806400000:
214 × 33 × 55 × 13 × 17 × 4212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 13 × 17 × 421 × 421)See below for interesting mathematical facts about the number 54148968806400000 from the Numbermatics database.
Names of 54148968806400000
- Cardinal: 54148968806400000 can be written as Fifty-four quadrillion, one hundred forty-eight trillion, nine hundred sixty-eight billion, eight hundred six million, four hundred thousand.
Scientific notation
- Scientific notation: 5.41489688064 × 1016
Factors of 54148968806400000
Divisors of 54148968806400000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 54 60 64 65 68 72 75 78 80 85 90 96 100 102 104 108 117 120 125 128 130 135 136 144 150 153 156 160 170 180 192 195 200 204 208 216 221 225 234 240 250 255 256 260 270 272 288 300 306 312 320 325 340 351 360 375 384 390 400 408 416 421 425 432 442 450 459 468 480 500 510 512 520 540 544 576 585 600 612 624 625 640 650 663 675 680 702 720 750 765 768 780 800 816 832 842 850 864 884 900 918 936 960 975 1000 1020 1024 1040 1080 1088 1105 1125 1152 1170 1200 1224 1248 1250 1263 1275 1280 1300 1326 1350 1360 1404 1440 1500 1530 1536 1560 1600 1625 1632 1664 1684 1700 1728 1755 1768 1800 1836 1872 1875 1920 1950 1989 2000 2040 2048 2080 2105 2125 2160 2176 2210 2250 2295 2304 2340 2400 2448 2496 2500 2526 2550 2560 2600 2652 2700 2720 2808 2880 2925 3000 3060 3072 3120 3125 3200 3250 3264 3315 3328 3368 3375 3400 3456 3510 3536 3600 3672 3744 3750 3789 3825 3840 3900 3978 4000 4080 4096 4160 4210 4250 4320 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104132632320000 105759704700000 106174448640000 108297937612800 112810351680000 115702924800000 117971609600000 120331041792000 122508979200000 125344835200000 127409338368000 128619878400000 130165790400000 132718060800000 135372422016000 138843509760000 141012939600000 144397250150400 150413802240000 154270566400000 159261672960000 166612211712000 169215527520000 173554387200000 176957414400000 180496562688000 188017252800000 199077091200000 200551736320000 208265264640000 211519409400000 212348897280000 216595875225600 225620703360000 231405849600000 240662083584000 245017958400000 250689670400000 260331580800000 265436121600000 270744844032000 277687019520000 282025879200000 300827604480000 318523345920000 338431055040000 347108774400000 353914828800000 360993125376000 376034505600000 398154182400000 401103472640000 416530529280000 423038818800000 433191750451200 451241406720000 462811699200000 501379340800000 520663161600000 530872243200000 541489688064000 564051758400000 601655208960000 637046691840000 676862110080000 694217548800000 721986250752000 752069011200000 796308364800000 833061058560000 846077637600000 902482813440000 1002758681600000 1041326323200000 1061744486400000 1082979376128000 1128103516800000 1203310417920000 1353724220160000 1388435097600000 1504138022400000 1592616729600000 1692155275200000 1804965626880000 2005517363200000 2082652646400000 2165958752256000 2256207033600000 2707448440320000 3008276044800000 3185233459200000 3384310550400000 3609931253760000 4165305292800000 4512414067200000 5414896880640000 6016552089600000 6768621100800000 9024828134400000 10829793761280000 13537242201600000 18049656268800000 27074484403200000 54148968806400000
- Sum of all divisors σ(n): 229206243500902080
- Sum of proper divisors (its aliquot sum) s(n): 175057274694502080
- 54148968806400000 is an abundant number, because the sum of its proper divisors (175057274694502080) is greater than itself. Its abundance is 120908305888102080
Bases of 54148968806400000
- Binary: 110000000110000000110011010000101010100011000000000000002
- Hexadecimal: 0xC0603342A8C000
- Base-36: ET67GUUDXC0
Squares and roots of 54148968806400000
- 54148968806400000 squared (541489688064000002) is 2932110822796480240680960000000000
- 54148968806400000 cubed (541489688064000003) is 158770777480514446568347267334406144000000000000000
-
The
square root of 54148968806400000 is 232699309.8537251785 -
The
cube root of 54148968806400000 is 378323.5679455955
Scales and comparisons
How big is 54148968806400000?- 54,148,968,806,400,000 seconds is equal to 1,721,769,714 years, 14 weeks, 6 days.
-
To count from 1 to 54,148,968,806,400,000 would take you about five billion, one hundred sixty-five million, three hundred nine 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 54148968806400000 cubic inches would be around 31527 feet tall.
Recreational maths with 54148968806400000
- 54148968806400000 backwards is 00000460886984145
- The number of decimal digits it has is: 17
- The sum of 54148968806400000's digits is 63
- More coming soon!
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The information we have on file for 54148968806400000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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