107542443731968000
107,542,443,731,968,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 107542443731968000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4032 divisors.
107542443731968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.
Prime factorization of 107542443731968000:
213 × 53 × 75 × 19 × 31 × 1032
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 19 × 31 × 103 × 103)See below for interesting mathematical facts about the number 107542443731968000 from the Numbermatics database.
Names of 107542443731968000
- Cardinal: 107542443731968000 can be written as One hundred seven quadrillion, five hundred forty-two trillion, four hundred forty-three billion, seven hundred thirty-one million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.07542443731968 × 1017
Factors of 107542443731968000
Divisors of 107542443731968000
- Number of divisors d(n): 4032
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 31 32 35 38 40 49 50 56 62 64 70 76 80 95 98 100 103 112 124 125 128 133 140 152 155 160 175 190 196 200 206 217 224 245 248 250 256 266 280 304 310 320 343 350 380 392 400 412 434 448 475 490 496 500 512 515 532 560 589 608 620 640 665 686 700 721 760 775 784 800 824 868 875 896 931 950 980 992 1000 1024 1030 1064 1085 1120 1178 1216 1225 1240 1280 1330 1372 1400 1442 1519 1520 1550 1568 1600 1648 1715 1736 1750 1792 1862 1900 1957 1960 1984 2000 2048 2060 2128 2170 2240 2356 2375 2401 2432 2450 2480 2560 2575 2660 2744 2800 2884 2945 3038 3040 3100 3136 3193 3200 3296 3325 3430 3472 3500 3584 3605 3724 3800 3875 3914 3920 3968 4000 4096 4120 4123 4256 4340 4480 4655 4712 4750 4802 4864 4900 4960 5047 5120 5150 5320 5425 5488 5600 5768 5890 6076 6080 6125 6200 6272 6386 6400 6517 6592 6650 6860 6944 7000 7168 7210 7448 7595 7600 7750 7828 7840 7936 8000 8192 8240 8246 8512 8575 8680 8960 9310 9424 9500 9604 9728 9785 9800 9920 10094 10240 10300 10609 10633 10640 10850 10976 11200 11536 11780 12005 12152 12160 12250 12400 12544 12772 12800 12875 13034 13184 13300 13699 13720 13888 14000 14336 14420 14725 14896 15190 15200 15500 15656 15680 15872 15965 16000 16480 16492 16625 16807 17024 17150 17360 17920 18025 18620 18848 19000 19208 19456 19570 19600 19840 20188 20480 20600 20615 21218 21266 21280 21700 21952 22351 22400 23072 23275 23560 24010 24304 24320 24500 24800 25088 25235 25544 25600 25750 26068 26368 26600 27125 27398 27440 27776 28000 28672 28840 28861 29450 29792 30380 30400 31000 31312 31360 31744 31930 32000 32585 32960 32984 33250 33614 34048 34300 34720 35329 35840 36050 37240 37696 37975 38000 38416 38912 39140 39200 39680 40376 40960 41200 41230 42436 42532 42560 42875 43400 43904 44702 44800 45619 46144 46550 47120 48020 48608 48640 48925 49000 49600 50176 50470 51088 51200 51500 52136 52736 53045 53165 53200 54250 54796 54880 55552 56000 57344 57680 57722 58900 59584 60025 60667 60760 60800 62000 62624 62720 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109737187481600 113202572349440 115512828928000 120025048808000 122905649979392 123896824576000 130512674432000 134428054664960 137171484352000 138764443525120 141503215436800 149157342208000 153632062474240 156767410688000 161717960499200 168035068331200 173455554406400 176879019296000 182584794112000 192040078092800 202147450624000 208820279091200 210043835414000 215084887463936 216819443008000 219474374963200 226405144698880 240050097616000 247793649152000 261025348864000 268856109329920 274342968704000 283006430873600 307264124948480 313534821376000 336070136662400 346911108812800 353758038592000 384080156185600 404294901248000 420087670828000 430169774927872 433638886016000 438948749926400 480100195232000 495587298304000 522050697728000 537712218659840 548685937408000 566012861747200 614528249896960 672140273324800 693822217625600 707516077184000 768160312371200 808589802496000 840175341656000 860339549855744 867277772032000 960200390464000 1044101395456000 1075424437319680 1097371874816000 1132025723494400 1344280546649600 1415032154368000 1536320624742400 1680350683312000 1734555544064000 1920400780928000 2150848874639360 2194743749632000 2688561093299200 2830064308736000 3072641249484800 3360701366624000 3469111088128000 3840801561856000 4301697749278720 5377122186598400 5660128617472000 6721402733248000 7681603123712000 10754244373196800 13442805466496000 15363206247424000 21508488746393600 26885610932992000 53771221865984000 107542443731968000
- Sum of all divisors σ(n): 343591496305274880
- Sum of proper divisors (its aliquot sum) s(n): 236049052573306880
- 107542443731968000 is an abundant number, because the sum of its proper divisors (236049052573306880) is greater than itself. Its abundance is 128506608841338880
Bases of 107542443731968000
- Binary: 1011111100001000101001000011001001110101111100000000000002
- Hexadecimal: 0x17E114864EBE000
- Base-36: TEWM4M6EEPS
Squares and roots of 107542443731968000
- 107542443731968000 squared (1075424437319680002) is 11565377203843503371425153024000000
- 107542443731968000 cubed (1075424437319680003) is 1243768927183325363384718823625124040671232000000000
-
The
square root of 107542443731968000 is 327936645.9119322029 -
The
cube root of 107542443731968000 is 475546.8401768997
Scales and comparisons
How big is 107542443731968000?- 107,542,443,731,968,000 seconds is equal to 3,419,517,060 years, 2 weeks, 6 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 107,542,443,731,968,000 would take you about ten billion, two hundred fifty-eight million, five hundred fifty-one thousand, one hundred eighty 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 107542443731968000 cubic inches would be around 39628.9 feet tall.
Recreational maths with 107542443731968000
- 107542443731968000 backwards is 000869137344245701
- 107542443731968000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 107542443731968000's digits is 64
- More coming soon!
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"Number 107542443731968000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 107542443731968000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/107542443731968000/
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The information we have on file for 107542443731968000 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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