40385409712128000
40,385,409,712,128,000 is an even composite number composed of five prime numbers multiplied together.
40385409712128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty-eight divisors.
Prime factorization of 40385409712128000:
228 × 36 × 53 × 13 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 127)See below for interesting mathematical facts about the number 40385409712128000 from the Numbermatics database.
Names of 40385409712128000
- Cardinal: 40385409712128000 can be written as Forty quadrillion, three hundred eighty-five trillion, four hundred nine billion, seven hundred twelve million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.0385409712128 × 1016
Factors of 40385409712128000
Divisors of 40385409712128000
- Number of divisors d(n): 3248
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 104 108 117 120 125 127 128 130 135 144 150 156 160 162 180 192 195 200 208 216 225 234 240 243 250 254 256 260 270 288 300 312 320 324 325 351 360 375 381 384 390 400 405 416 432 450 468 480 486 500 508 512 520 540 576 585 600 624 635 640 648 650 675 702 720 729 750 762 768 780 800 810 832 864 900 936 960 972 975 1000 1016 1024 1040 1053 1080 1125 1143 1152 1170 1200 1215 1248 1270 1280 1296 1300 1350 1404 1440 1458 1500 1524 1536 1560 1600 1620 1625 1651 1664 1728 1755 1800 1872 1905 1920 1944 1950 2000 2025 2032 2048 2080 2106 2160 2250 2286 2304 2340 2400 2430 2496 2540 2560 2592 2600 2700 2808 2880 2916 2925 3000 3048 3072 3120 3159 3175 3200 3240 3250 3302 3328 3375 3429 3456 3510 3600 3645 3744 3810 3840 3888 3900 4000 4050 4064 4096 4160 4212 4320 4500 4572 4608 4680 4800 4860 4875 4953 4992 5080 5120 5184 5200 5265 5400 5616 5715 5760 5832 5850 6000 6075 6096 6144 6240 6318 6350 6400 6480 6500 6604 6656 6750 6858 6912 7020 7200 7290 7488 7620 7680 7776 7800 8000 8100 8128 8192 8255 8320 8424 8640 8775 9000 9144 9216 9360 9477 9525 9600 9720 9750 9906 9984 10125 10160 10240 10287 10368 10400 10530 10800 11232 11430 11520 11664 11700 12000 12150 12192 12288 12480 12636 12700 12800 12960 13000 13208 13312 13500 13716 13824 14040 14400 14580 14625 14859 14976 15240 15360 15552 15600 15795 15875 16000 16200 16256 16384 16510 16640 16848 17145 17280 17550 18000 18225 18288 18432 18720 18954 19050 19200 19440 19500 19812 19968 20250 20320 20480 20574 20736 20800 21060 21600 22464 22860 23040 23328 23400 24000 24300 24384 24576 24765 24960 25272 25400 25600 25920 26000 26325 26416 26624 27000 27432 27648 28080 28575 28800 29160 29250 29718 29952 30375 30480 30720 30861 31104 31200 31590 31750 32000 32400 32512 32768 33020 33280 33696 34290 34560 35100 36000 36450 36576 36864 37440 37908 38100 38400 38880 39000 39624 39936 40500 40640 40960 41148 41275 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40385409712128 41420933038080 41548775424000 42068135116800 43146805248000 44872677457920 46742372352000 48540155904000 49858530508800 50481762140160 51776166297600 52585168896000 52999225344000 53847212949504 55398367232000 56090846822400 57529073664000 59830236610560 62131399557120 62323163136000 63102202675200 63599070412800 64720207872000 67309016186880 69034888396800 70113558528000 74787795763200 77664249446400 78877753344000 79498838016000 80770819424256 83097550848000 84136270233600 86293610496000 89745354915840 93484744704000 97080311808000 99717061017600 100963524280320 103552332595200 105170337792000 105998450688000 107694425899008 112181693644800 115058147328000 124262799114240 124646326272000 126204405350400 129440415744000 134618032373760 140227117056000 149575591526400 155328498892800 157755506688000 158997676032000 161541638848512 166195101696000 168272540467200 172587220992000 179490709831680 186969489408000 194160623616000 201927048560640 207104665190400 210340675584000 224363387289600 249292652544000 252408810700800 258880831488000 269236064747520 280454234112000 299151183052800 310656997785600 315511013376000 317995352064000 323083277697024 336545080934400 345174441984000 373938978816000 388321247232000 403854097121280 420681351168000 448726774579200 498585305088000 504817621401600 517761662976000 538472129495040 560908468224000 621313995571200 631022026752000 673090161868800 747877957632000 776642494464000 807708194242560 841362702336000 897453549158400 1009635242803200 1035523325952000 1121816936448000 1262044053504000 1346180323737600 1495755915264000 1553284988928000 1615416388485120 1682725404672000 2019270485606400 2243633872896000 2524088107008000 2692360647475200 3106569977856000 3365450809344000 4038540971212800 4487267745792000 5048176214016000 6730901618688000 8077081942425600 10096352428032000 13461803237376000 20192704856064000 40385409712128000
- Sum of all divisors σ(n): 164041087244676096
- Sum of proper divisors (its aliquot sum) s(n): 123655677532548096
- 40385409712128000 is an abundant number, because the sum of its proper divisors (123655677532548096) is greater than itself. Its abundance is 83270267820420096
Bases of 40385409712128000
- Binary: 100011110111101001010000111100000000000000000000000000002
- Hexadecimal: 0x8F7A50F0000000
- Base-36: B1NFL3I8000
Squares and roots of 40385409712128000
- 40385409712128000 squared (403854097121280002) is 1630981317616442587830288384000000
- 40385409712128000 cubed (403854097121280003) is 65867848744766402786106646162196662321152000000000
-
The
square root of 40385409712128000 is 200961214.4472858225 -
The
cube root of 40385409712128000 is 343090.0825370451
Scales and comparisons
How big is 40385409712128000?- 40,385,409,712,128,000 seconds is equal to 1,284,131,108 years, 29 weeks, 5 days.
-
To count from 1 to 40,385,409,712,128,000 would take you about three billion, eight hundred fifty-two million, three hundred ninety-three thousand, three hundred twenty-five 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 40385409712128000 cubic inches would be around 28590.8 feet tall.
Recreational maths with 40385409712128000
- 40385409712128000 backwards is 00082121790458304
- 40385409712128000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40385409712128000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 40385409712128000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
APA style:
Numbermatics. (2024). Number 40385409712128000 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/40385409712128000/
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Numbermatics. 2024. "Number 40385409712128000 - Facts about the integer". https://numbermatics.com/n/40385409712128000/
The information we have on file for 40385409712128000 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!
Keywords: Divisors of 40385409712128000, math, Factors of 40385409712128000, curriculum, school, college, exams, university, Prime factorization of 40385409712128000, STEM, science, technology, engineering, physics, economics, calculator, forty quadrillion, three hundred eighty-five trillion, four hundred nine billion, seven hundred twelve million, one hundred twenty-eight thousand.