40890747697536000
40,890,747,697,536,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 40890747697536000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3168 divisors.
40890747697536000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 40890747697536000:
210 × 3 × 53 × 112 × 413 × 1132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 41 × 41 × 41 × 113 × 113)See below for interesting mathematical facts about the number 40890747697536000 from the Numbermatics database.
Names of 40890747697536000
- Cardinal: 40890747697536000 can be written as Forty quadrillion, eight hundred ninety trillion, seven hundred forty-seven billion, six hundred ninety-seven million, five hundred thirty-six thousand.
Scientific notation
- Scientific notation: 4.0890747697536 × 1016
Factors of 40890747697536000
Divisors of 40890747697536000
- Number of divisors d(n): 3168
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 41 44 48 50 55 60 64 66 75 80 82 88 96 100 110 113 120 121 123 125 128 132 150 160 164 165 176 192 200 205 220 226 240 242 246 250 256 264 275 300 320 328 330 339 352 363 375 384 400 410 440 451 452 480 484 492 500 512 528 550 565 600 605 615 640 656 660 678 704 726 750 768 800 820 825 880 902 904 960 968 984 1000 1024 1025 1056 1100 1130 1200 1210 1230 1243 1280 1312 1320 1353 1356 1375 1408 1452 1500 1536 1600 1640 1650 1681 1695 1760 1804 1808 1815 1920 1936 1968 2000 2050 2112 2200 2255 2260 2400 2420 2460 2486 2560 2624 2640 2706 2712 2750 2816 2825 2904 3000 3025 3072 3075 3200 3280 3300 3362 3390 3520 3608 3616 3630 3729 3840 3872 3936 4000 4100 4125 4224 4400 4510 4520 4633 4800 4840 4920 4961 4972 5043 5120 5125 5248 5280 5412 5424 5500 5632 5650 5808 6000 6050 6150 6215 6400 6560 6600 6724 6765 6780 7040 7216 7232 7260 7458 7680 7744 7872 8000 8200 8250 8405 8448 8475 8800 9020 9040 9075 9266 9600 9680 9840 9922 9944 10086 10250 10496 10560 10824 10848 11000 11264 11275 11300 11616 12000 12100 12300 12430 12769 12800 13120 13200 13448 13530 13560 13673 13899 14080 14125 14432 14464 14520 14883 14916 15125 15360 15375 15488 15744 16000 16400 16500 16810 16896 16950 17600 18040 18080 18150 18491 18532 18645 19200 19360 19680 19844 19888 20172 20500 20992 21120 21648 21696 22000 22550 22600 23165 23232 24000 24200 24600 24805 24860 25215 25538 25600 26240 26400 26896 27060 27120 27346 27798 28160 28250 28864 28928 29040 29766 29832 30250 30750 30976 31075 31488 32000 32800 33000 33620 33792 33825 33900 35200 36080 36160 36300 36982 37064 37290 38307 38400 38720 39360 39688 39776 40344 41000 41019 41984 42025 42240 42375 43296 43392 44000 45100 45200 45375 46330 46464 48000 48400 49200 49610 49720 50430 50963 51076 52480 52800 53792 54120 54240 54692 55473 55596 56320 56375 56500 57728 57856 58080 59532 59664 60500 61500 61952 62150 62976 63845 64000 65600 66000 67240 67650 67800 68365 68921 69495 70400 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19946706193920 20445373848768 20777818952000 21121253976000 21297264425800 22529337574400 22616563992000 22666711584000 23233379373600 24124334924800 24325251456000 24782271331840 24933382742400 25556717310960 26621580532250 27260498465024 28161671968000 29041724217000 29738725598208 30155418656000 30222282112000 30977839164800 31166728428000 31945896638700 32896820352000 33244510323200 33794006361600 34075623081280 36186502387200 37173406997760 38722298956000 39893412387840 39932370798375 40890747697536 41555637904000 42242507952000 42594528851600 45233127984000 45333423168000 46466758747200 49564542663680 49866765484800 51113434621920 53243161064500 54520996930048 56323343936000 58083448434000 60310837312000 61955678329600 62333456856000 63891793277400 66489020646400 67588012723200 68151246162560 72373004774400 74346813995520 77444597912000 79864741596750 81781495395072 83111275808000 84485015904000 85189057703200 90466255968000 90666846336000 92933517494400 99733530969600 102226869243840 106486322129000 109041993860096 112646687872000 116166896868000 120621674624000 123911356659200 124666913712000 127783586554800 136302492325120 148693627991040 154889195824000 159729483193500 163562990790144 166222551616000 168970031808000 170378115406400 180932511936000 185867034988800 199467061939200 204453738487680 212972644258000 232333793736000 247822713318400 249333827424000 255567173109600 272604984650240 309778391648000 319458966387000 327125981580288 332445103232000 337940063616000 340756230812800 361865023872000 371734069977600 408907476975360 425945288516000 464667587472000 498667654848000 511134346219200 545209969300480 619556783296000 638917932774000 681512461625600 743468139955200 817814953950720 851890577032000 929335174944000 997335309696000 1022268692438400 1239113566592000 1277835865548000 1363024923251200 1635629907901440 1703781154064000 1858670349888000 2044537384876800 2555671731096000 2726049846502400 3407562308128000 3717340699776000 4089074769753600 5111343462192000 6815124616256000 8178149539507200 10222686924384000 13630249232512000 20445373848768000 40890747697536000
- Sum of all divisors σ(n): 154613126374918848
- Sum of proper divisors (its aliquot sum) s(n): 113722378677382848
- 40890747697536000 is an abundant number, because the sum of its proper divisors (113722378677382848) is greater than itself. Its abundance is 72831630979846848
Bases of 40890747697536000
- Binary: 100100010100010111101011000110110001110010011100000000002
- Hexadecimal: 0x9145EB1B1C9C00
- Base-36: B6MK65VAL1C
Squares and roots of 40890747697536000
- 40890747697536000 squared (408907476975360002) is 1672053247263545685340471296000000
- 40890747697536000 cubed (408907476975360003) is 68371507470699422825423423795149097926656000000000
-
The
square root of 40890747697536000 is 202214608.0221110039 -
The
cube root of 40890747697536000 is 344515.1705519017
Scales and comparisons
How big is 40890747697536000?- 40,890,747,697,536,000 seconds is equal to 1,300,199,293 years, 20 weeks, 3 days, 13 hours, 20 minutes.
-
To count from 1 to 40,890,747,697,536,000 would take you about three billion, nine hundred million, five hundred ninety-seven thousand, eight 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 40890747697536000 cubic inches would be around 28709.6 feet tall.
Recreational maths with 40890747697536000
- 40890747697536000 backwards is 00063579674709804
- 40890747697536000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40890747697536000's digits is 75
- More coming soon!
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Cite this page
MLA style:
"Number 40890747697536000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 40890747697536000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/40890747697536000/
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Numbermatics. 2024. "Number 40890747697536000 - Facts about the integer". https://numbermatics.com/n/40890747697536000/
The information we have on file for 40890747697536000 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 40890747697536000, math, Factors of 40890747697536000, curriculum, school, college, exams, university, Prime factorization of 40890747697536000, STEM, science, technology, engineering, physics, economics, calculator, forty quadrillion, eight hundred ninety trillion, seven hundred forty-seven billion, six hundred ninety-seven million, five hundred thirty-six thousand.