428305960426032000
428,305,960,426,032,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 428305960426032000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3072 divisors.
428305960426032000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 428305960426032000:
27 × 32 × 53 × 13 × 61 × 181 × 1061 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 61 × 181 × 1061 × 19531)See below for interesting mathematical facts about the number 428305960426032000 from the Numbermatics database.
Names of 428305960426032000
- Cardinal: 428305960426032000 can be written as Four hundred twenty-eight quadrillion, three hundred five trillion, nine hundred sixty billion, four hundred twenty-six million, thirty-two thousand.
Scientific notation
- Scientific notation: 4.28305960426032 × 1017
Factors of 428305960426032000
Divisors of 428305960426032000
- Number of divisors d(n): 3072
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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 30 32 36 39 40 45 48 50 52 60 61 64 65 72 75 78 80 90 96 100 104 117 120 122 125 128 130 144 150 156 160 180 181 183 192 195 200 208 225 234 240 244 250 260 288 300 305 312 320 325 360 362 366 375 384 390 400 416 450 468 480 488 500 520 543 549 576 585 600 610 624 640 650 720 724 732 750 780 793 800 832 900 905 915 936 960 975 976 1000 1040 1061 1086 1098 1125 1152 1170 1200 1220 1248 1300 1440 1448 1464 1500 1525 1560 1586 1600 1625 1629 1664 1800 1810 1830 1872 1920 1950 1952 2000 2080 2122 2172 2196 2250 2340 2353 2379 2400 2440 2496 2600 2715 2745 2880 2896 2925 2928 3000 3050 3120 3172 3183 3200 3250 3258 3600 3620 3660 3744 3900 3904 3965 4000 4160 4244 4344 4392 4500 4525 4575 4680 4706 4758 4800 4875 4880 4992 5200 5305 5430 5490 5760 5792 5850 5856 6000 6100 6240 6344 6366 6500 6516 7059 7137 7200 7240 7320 7488 7625 7800 7808 7930 8000 8145 8320 8488 8688 8784 9000 9050 9150 9360 9412 9516 9549 9600 9750 9760 10400 10610 10860 10980 11041 11584 11700 11712 11765 11895 12000 12200 12480 12688 12732 13000 13032 13575 13725 13793 14118 14274 14400 14480 14625 14640 14976 15250 15600 15860 15915 16000 16290 16976 17376 17568 18000 18100 18300 18720 18824 19032 19098 19500 19520 19531 19825 20800 21177 21220 21720 21960 22082 22625 22875 23168 23400 23424 23530 23790 24000 24400 24960 25376 25464 26000 26064 26525 27150 27450 27586 28236 28548 28800 28960 29250 29280 30500 31200 31720 31830 32580 33123 33952 34752 35136 35295 35685 36000 36200 36600 37440 37648 38064 38196 39000 39040 39062 39650 40725 41379 41600 42354 42440 43440 43920 44164 45250 45750 46800 47060 47580 47745 48000 48800 50752 50928 52000 52128 53050 54300 54900 55172 55205 56472 57096 57920 58500 58560 58593 58825 59475 61000 62400 63440 63660 64721 65160 66246 67875 67904 68625 68965 69504 70272 70590 71370 72000 72400 73200 74880 75296 76128 76392 78000 78124 79300 79575 81450 82758 84708 84880 86880 87840 88328 90500 91500 93600 94120 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3346140315828375 3426447683408256 3510704593656000 3569216336883600 3660734704496000 4118326542558000 4283059604260320 4461520421104500 4758955115844800 5353824505325400 5491102056744000 5710746139013760 5948693894806000 6589322468092800 6692280631656750 7021409187312000 7138432673767200 8236653085116000 8566119208520640 8923040842209000 9517910231689600 10707649010650800 10982204113488000 11897387789612000 13384561263313500 14276865347534400 16473306170232000 17132238417041280 17846081684418000 21415298021301600 23794775579224000 26769122526627000 28553730695068800 32946612340464000 35692163368836000 42830596042603200 47589551158448000 53538245053254000 71384326737672000 85661192085206400 107076490106508000 142768653475344000 214152980213016000 428305960426032000
- Sum of all divisors σ(n): 1694612777188181760
- Sum of proper divisors (its aliquot sum) s(n): 1266306816762149760
- 428305960426032000 is an abundant number, because the sum of its proper divisors (1266306816762149760) is greater than itself. Its abundance is 838000856336117760
Bases of 428305960426032000
- Binary: 101111100011010011000000000011100100110000001001011100000002
- Hexadecimal: 0x5F1A60072604B80
- Base-36: 3959SHWHGWW0
Squares and roots of 428305960426032000
- 428305960426032000 squared (4283059604260320002) is 183445995736465689682943265024000000
- 428305960426032000 cubed (4283059604260320003) is 78571013390216708682313061458642428124704768000000000
-
The
square root of 428305960426032000 is 654450884.6552443923 -
The
cube root of 428305960426032000 is 753791.7375088471
Scales and comparisons
How big is 428305960426032000?- 428,305,960,426,032,000 seconds is equal to 13,618,804,704 years, 11 weeks, 5 days, 8 hours.
-
To count from 1 to 428,305,960,426,032,000 would take you about forty billion, eight hundred fifty-six million, four hundred fourteen thousand, one hundred twelve 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 428305960426032000 cubic inches would be around 62816 feet tall.
Recreational maths with 428305960426032000
- 428305960426032000 backwards is 000230624069503824
- The number of decimal digits it has is: 18
- The sum of 428305960426032000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 428305960426032000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
APA style:
Numbermatics. (2024). Number 428305960426032000 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/428305960426032000/
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Numbermatics. 2024. "Number 428305960426032000 - Facts about the integer". https://numbermatics.com/n/428305960426032000/
The information we have on file for 428305960426032000 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 428305960426032000, math, Factors of 428305960426032000, curriculum, school, college, exams, university, Prime factorization of 428305960426032000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight quadrillion, three hundred five trillion, nine hundred sixty billion, four hundred twenty-six million, thirty-two thousand.