40380078430208000
40,380,078,430,208,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 40380078430208000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
40380078430208000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 40380078430208000:
214 × 53 × 112 × 31 × 113 × 181 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 31 × 113 × 181 × 257)See below for interesting mathematical facts about the number 40380078430208000 from the Numbermatics database.
Names of 40380078430208000
- Cardinal: 40380078430208000 can be written as Forty quadrillion, three hundred eighty trillion, seventy-eight billion, four hundred thirty million, two hundred eight thousand.
Scientific notation
- Scientific notation: 4.0380078430208 × 1016
Factors of 40380078430208000
Divisors of 40380078430208000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 62 64 80 88 100 110 113 121 124 125 128 155 160 176 181 200 220 226 242 248 250 256 257 275 310 320 341 352 362 400 440 452 484 496 500 512 514 550 565 605 620 640 682 704 724 775 800 880 904 905 968 992 1000 1024 1028 1100 1130 1210 1240 1243 1280 1285 1364 1375 1408 1448 1550 1600 1705 1760 1808 1810 1936 1984 1991 2000 2048 2056 2200 2260 2420 2480 2486 2560 2570 2728 2750 2816 2825 2827 2896 3025 3100 3200 3410 3503 3520 3616 3620 3751 3872 3875 3968 3982 4000 4096 4112 4400 4520 4525 4840 4960 4972 5120 5140 5456 5500 5611 5632 5650 5654 5792 6050 6200 6215 6400 6425 6820 7006 7040 7232 7240 7502 7744 7750 7936 7964 7967 8000 8192 8224 8525 8800 9040 9050 9680 9920 9944 9955 10240 10280 10912 11000 11222 11264 11300 11308 11584 12100 12400 12430 12800 12850 13640 13673 14012 14080 14125 14135 14464 14480 15004 15125 15488 15500 15872 15928 15934 16000 16384 16448 17050 17515 17600 18080 18100 18755 19360 19840 19888 19910 20453 20480 20560 21824 21901 22000 22444 22528 22600 22616 22625 23168 24200 24800 24860 25600 25700 27280 27346 28024 28055 28160 28250 28270 28928 28960 29041 30008 30250 30976 31000 31075 31097 31744 31856 31868 32000 32125 32896 34100 35030 35200 36160 36200 37510 38533 38720 39680 39776 39820 39835 40906 40960 41120 42625 43648 43802 44000 44888 45056 45200 45232 45250 46336 46517 48400 49600 49720 49775 51200 51400 54560 54692 56048 56110 56320 56500 56540 57856 57920 58082 60016 60500 61721 61952 62000 62150 62194 63488 63712 63736 64000 64250 65792 68200 68365 70060 70400 70675 72320 72400 75020 77066 77440 79360 79552 79640 79670 81812 81920 82240 85250 87296 87575 87604 87637 88000 89776 90112 90400 90464 90500 92672 93034 93775 96800 99200 99440 99550 102265 102400 102800 109120 109384 109505 112096 112220 112640 113000 113080 115712 115840 116164 120032 121000 123442 123904 124000 124300 124388 126976 127424 127472 128000 128500 131584 136400 136730 140120 140275 140800 141350 144640 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29367329767424 29604163072000 31424185548800 31546936273600 32485984256000 32564579379200 33371965644800 35734582681600 36709162209280 39280231936000 39433670342000 40380078430208 40705724224000 41714957056000 44618871193600 44668228352000 45886452761600 50475098037760 52103327006720 55773588992000 57358065952000 59208326144000 63093872547200 65129158758400 66743931289600 71469165363200 73418324418560 78560463872000 78867340684000 80760156860416 81411448448000 83429914112000 89336456704000 91772905523200 100950196075520 111547177984000 114716131904000 118416652288000 126187745094400 130258317516800 146836648837120 157120927744000 157734681368000 161520313720832 162822896896000 166859828224000 178672913408000 183545811046400 201900392151040 223094355968000 229432263808000 252375490188800 260516635033600 315469362736000 323040627441664 325645793792000 333719656448000 357345826816000 367091622092800 403800784302080 458864527616000 504750980377600 630938725472000 651291587584000 734183244185600 807601568604160 917729055232000 1009501960755200 1261877450944000 1302583175168000 1615203137208320 1835458110464000 2019003921510400 2523754901888000 3670916220928000 4038007843020800 5047509803776000 8076015686041600 10095019607552000 20190039215104000 40380078430208000
- Sum of all divisors σ(n): 116455188868881408
- Sum of proper divisors (its aliquot sum) s(n): 76075110438673408
- 40380078430208000 is an abundant number, because the sum of its proper divisors (76075110438673408) is greater than itself. Its abundance is 35695032008465408
Bases of 40380078430208000
- Binary: 100011110111010101110111101001101101010111000000000000002
- Hexadecimal: 0x8F7577A6D5C000
- Base-36: B1LJJXUM77K
Squares and roots of 40380078430208000
- 40380078430208000 squared (403800784302080002) is 1630550734029749377526923264000000
- 40380078430208000 cubed (403800784302080003) is 65841766524554504370459028707437195558912000000000
-
The
square root of 40380078430208000 is 200947949.5546247171 -
The
cube root of 40380078430208000 is 343074.9847541255
Scales and comparisons
How big is 40380078430208000?- 40,380,078,430,208,000 seconds is equal to 1,283,961,590 years, 15 weeks, 3 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 40,380,078,430,208,000 would take you about three billion, eight hundred fifty-one million, eight hundred eighty-four thousand, seven hundred seventy 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 40380078430208000 cubic inches would be around 28589.6 feet tall.
Recreational maths with 40380078430208000
- 40380078430208000 backwards is 00080203487008304
- The number of decimal digits it has is: 17
- The sum of 40380078430208000's digits is 47
- More coming soon!
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"Number 40380078430208000 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
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Numbermatics. (2024). Number 40380078430208000 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/40380078430208000/
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The information we have on file for 40380078430208000 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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