42674157878016000
42,674,157,878,016,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42674157878016000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3456 divisors.
42674157878016000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 42674157878016000:
211 × 3 × 53 × 72 × 41 × 612 × 7433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 41 × 61 × 61 × 7433)See below for interesting mathematical facts about the number 42674157878016000 from the Numbermatics database.
Names of 42674157878016000
- Cardinal: 42674157878016000 can be written as Forty-two quadrillion, six hundred seventy-four trillion, one hundred fifty-seven billion, eight hundred seventy-eight million, sixteen thousand.
Scientific notation
- Scientific notation: 4.2674157878016 × 1016
Factors of 42674157878016000
Divisors of 42674157878016000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 41 42 48 49 50 56 60 61 64 70 75 80 82 84 96 98 100 105 112 120 122 123 125 128 140 147 150 160 164 168 175 183 192 196 200 205 210 224 240 244 245 246 250 256 280 287 294 300 305 320 328 336 350 366 375 384 392 400 410 420 427 448 480 488 490 492 500 512 525 560 574 588 600 610 615 640 656 672 700 732 735 750 768 784 800 820 840 854 861 875 896 915 960 976 980 984 1000 1024 1025 1050 1120 1148 1176 1200 1220 1225 1230 1280 1281 1312 1344 1400 1435 1464 1470 1500 1525 1536 1568 1600 1640 1680 1708 1722 1750 1792 1830 1920 1952 1960 1968 2000 2009 2048 2050 2100 2135 2240 2296 2352 2400 2440 2450 2460 2501 2560 2562 2624 2625 2688 2800 2870 2928 2940 2989 3000 3050 3072 3075 3136 3200 3280 3360 3416 3444 3500 3584 3660 3675 3721 3840 3904 3920 3936 4000 4018 4100 4200 4270 4305 4480 4575 4592 4704 4800 4880 4900 4920 5002 5120 5124 5125 5248 5250 5376 5600 5740 5856 5880 5978 6000 6027 6100 6125 6144 6150 6272 6400 6405 6560 6720 6832 6888 7000 7168 7175 7320 7350 7433 7442 7503 7625 7680 7808 7840 7872 8000 8036 8200 8400 8540 8610 8960 8967 9150 9184 9408 9600 9760 9800 9840 10004 10045 10240 10248 10250 10496 10500 10675 10752 11163 11200 11480 11712 11760 11956 12000 12054 12200 12250 12300 12505 12544 12800 12810 13120 13440 13664 13776 14000 14336 14350 14640 14700 14866 14884 14945 15006 15250 15360 15375 15616 15680 15744 16000 16072 16400 16800 17080 17220 17507 17920 17934 18300 18368 18375 18605 18816 19200 19520 19600 19680 20008 20090 20496 20500 20992 21000 21350 21504 21525 22299 22326 22400 22875 22960 23424 23520 23912 24000 24108 24400 24500 24600 25010 25088 25600 25620 26047 26240 26880 27328 27552 28000 28700 29280 29400 29732 29768 29890 30012 30135 30500 30720 30750 31232 31360 31488 32000 32025 32144 32800 33600 34160 34440 35014 35840 35868 35875 36600 36736 36750 37165 37210 37515 37632 38400 39040 39200 39360 40016 40180 40992 41000 41984 42000 42700 43008 43050 44598 44652 44800 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177808991158400 190509633384000 203210275609600 208166623795200 213370789390080 217725295296000 222261238948000 233192119552000 243852330731520 254012844512000 260208279744000 266713486737600 284494385853440 290300393728000 304815413414400 333391858422000 341393263024128 346944372992000 349788179328000 355617982316800 381019266768000 406420551219200 426741578780160 435450590592000 444522477896000 508025689024000 520416559488000 533426973475200 568988771706880 609630826828800 666783716844000 699576358656000 711235964633600 762038533536000 853483157560320 870901181184000 889044955792000 1016051378048000 1040833118976000 1066853946950400 1219261653657600 1333567433688000 1422471929267200 1524077067072000 1706966315120640 1778089911584000 2032102756096000 2133707893900800 2667134867376000 2844943858534400 3048154134144000 3556179823168000 4267415787801600 5334269734752000 6096308268288000 7112359646336000 8534831575603200 10668539469504000 14224719292672000 21337078939008000 42674157878016000
- Sum of all divisors σ(n): 172036872932783040
- Sum of proper divisors (its aliquot sum) s(n): 129362715054767040
- 42674157878016000 is an abundant number, because the sum of its proper divisors (129362715054767040) is greater than itself. Its abundance is 86688557176751040
Bases of 42674157878016000
- Binary: 100101111001101111101011101001010110100001111000000000002
- Hexadecimal: 0x979BEBA5687800
- Base-36: BO6Q5HMGR9C
Squares and roots of 42674157878016000
- 42674157878016000 squared (426741578780160002) is 1821083750597835035936096256000000
- 42674157878016000 cubed (426741578780160003) is 77713215482101526548546340508123682308096000000000
-
The
square root of 42674157878016000 is 206577244.3373567707 -
The
cube root of 42674157878016000 is 349452.6352474285
Scales and comparisons
How big is 42674157878016000?- 42,674,157,878,016,000 seconds is equal to 1,356,906,220 years, 35 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 42,674,157,878,016,000 would take you about four billion, seventy million, seven hundred eighteen thousand, six hundred sixty-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 42674157878016000 cubic inches would be around 29121.1 feet tall.
Recreational maths with 42674157878016000
- 42674157878016000 backwards is 00061087875147624
- The number of decimal digits it has is: 17
- The sum of 42674157878016000's digits is 66
- More coming soon!
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Cite this page
MLA style:
"Number 42674157878016000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
APA style:
Numbermatics. (2024). Number 42674157878016000 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/42674157878016000/
Chicago style:
Numbermatics. 2024. "Number 42674157878016000 - Facts about the integer". https://numbermatics.com/n/42674157878016000/
The information we have on file for 42674157878016000 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 42674157878016000, math, Factors of 42674157878016000, curriculum, school, college, exams, university, Prime factorization of 42674157878016000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, six hundred seventy-four trillion, one hundred fifty-seven billion, eight hundred seventy-eight million, sixteen thousand.