428945379072000
428,945,379,072,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428945379072000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3456 divisors.
428945379072000 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 428945379072000:
211 × 3 × 53 × 72 × 29 × 312 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 29 × 31 × 31 × 409)See below for interesting mathematical facts about the number 428945379072000 from the Numbermatics database.
Names of 428945379072000
- Cardinal: 428945379072000 can be written as Four hundred twenty-eight trillion, nine hundred forty-five billion, three hundred seventy-nine million, seventy-two thousand.
Scientific notation
- Scientific notation: 4.28945379072 × 1014
Factors of 428945379072000
Divisors of 428945379072000
- 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 29 30 31 32 35 40 42 48 49 50 56 58 60 62 64 70 75 80 84 87 93 96 98 100 105 112 116 120 124 125 128 140 145 147 150 155 160 168 174 175 186 192 196 200 203 210 217 224 232 240 245 248 250 256 280 290 294 300 310 320 336 348 350 372 375 384 392 400 406 409 420 434 435 448 464 465 480 490 496 500 512 525 560 580 588 600 609 620 640 651 672 696 700 725 735 744 750 768 775 784 800 812 818 840 868 870 875 896 899 928 930 960 961 980 992 1000 1015 1024 1050 1085 1120 1160 1176 1200 1218 1225 1227 1240 1280 1302 1344 1392 1400 1421 1450 1470 1488 1500 1519 1536 1550 1568 1600 1624 1636 1680 1736 1740 1750 1792 1798 1856 1860 1920 1922 1960 1984 2000 2030 2045 2048 2100 2170 2175 2240 2320 2325 2352 2400 2436 2450 2454 2480 2560 2604 2625 2688 2697 2784 2800 2842 2863 2883 2900 2940 2976 3000 3038 3045 3072 3100 3136 3200 3248 3255 3272 3360 3472 3480 3500 3584 3596 3625 3675 3712 3720 3840 3844 3875 3920 3968 4000 4060 4090 4200 4263 4340 4350 4480 4495 4557 4640 4650 4704 4800 4805 4872 4900 4908 4960 5075 5120 5208 5250 5376 5394 5425 5568 5600 5684 5726 5766 5800 5880 5952 6000 6076 6090 6125 6135 6144 6200 6272 6293 6400 6496 6510 6544 6720 6727 6944 6960 7000 7105 7168 7192 7250 7350 7424 7440 7595 7680 7688 7750 7840 7936 8000 8120 8180 8400 8526 8589 8680 8700 8960 8990 9114 9280 9300 9408 9600 9610 9744 9800 9816 9920 10150 10225 10240 10416 10500 10752 10788 10850 10875 11136 11200 11368 11452 11532 11600 11625 11760 11861 11904 12000 12152 12180 12250 12270 12400 12544 12586 12679 12800 12992 13020 13088 13440 13454 13485 13888 13920 14000 14210 14315 14336 14384 14415 14500 14700 14848 14880 15190 15225 15360 15376 15500 15680 15872 16000 16240 16275 16360 16800 17052 17178 17360 17400 17920 17980 18228 18375 18560 18600 18816 18879 19200 19220 19488 19600 19632 19840 20041 20181 20300 20450 20832 21000 21315 21504 21576 21700 21750 22272 22400 22475 22736 22785 22904 23064 23200 23250 23520 23722 23808 24000 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691847385600 704343808000 714908965120 729498944000 739560998400 765973891200 817038817280 837783943500 857890758144 864809232000 875398732800 893636206400 922463180800 924451248000 957467364000 986081331200 988353408000 1021298521600 1048766208000 1056515712000 1072363447680 1094248416000 1117045258000 1143854344192 1153078976000 1225558225920 1232601664000 1276623152000 1340454309600 1383694771200 1429817930240 1458997888000 1479121996800 1531947782400 1675567887000 1715781516288 1729618464000 1750797465600 1787272412800 1848902496000 1914934728000 1976706816000 2042597043200 2113031424000 2144726895360 2188496832000 2234090516000 2306157952000 2451116451840 2465203328000 2553246304000 2680908619200 2767389542400 2859635860480 2917995776000 2958243993600 3063895564800 3351135774000 3431563032576 3459236928000 3574544825600 3697804992000 3829869456000 4085194086400 4289453790720 4376993664000 4468181032000 4612315904000 4930406656000 5106492608000 5361817238400 5719271720960 6127791129600 6702271548000 6918473856000 7149089651200 7395609984000 7659738912000 8578907581440 8753987328000 8936362064000 10212985216000 10723634476800 12255582259200 13404543096000 13836947712000 14298179302400 14791219968000 15319477824000 17157815162880 17872724128000 20425970432000 21447268953600 26809086192000 28596358604800 30638955648000 35745448256000 42894537907200 53618172384000 61277911296000 71490896512000 85789075814400 107236344768000 142981793024000 214472689536000 428945379072000
- Sum of all divisors σ(n): 1778966260344000
- Sum of proper divisors (its aliquot sum) s(n): 1350020881272000
- 428945379072000 is an abundant number, because the sum of its proper divisors (1350020881272000) is greater than itself. Its abundance is 921075502200000
Bases of 428945379072000
- Binary: 11000011000011111101000001111001010011000000000002
- Hexadecimal: 0x1861FA0F29800
- Base-36: 481QSBNOQO
Squares and roots of 428945379072000
- 428945379072000 squared (4289453790720002) is 183994138227221775581184000000
- 428945379072000 cubed (4289453790720003) is 78923435368901610596083883990581248000000000
-
The
square root of 428945379072000 is 20710996.5736079441 -
The
cube root of 428945379072000 is 75416.6663287451
Scales and comparisons
How big is 428945379072000?- 428,945,379,072,000 seconds is equal to 13,639,136 years, 12 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 428,945,379,072,000 would take you about thirty-four million, ninety-seven thousand, eight hundred forty 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 428945379072000 cubic inches would be around 6284.7 feet tall.
Recreational maths with 428945379072000
- 428945379072000 backwards is 000270973549824
- 428945379072000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428945379072000's digits is 60
- More coming soon!
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Cite this page
MLA style:
"Number 428945379072000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 October 2024.
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Numbermatics. (2024). Number 428945379072000 - Facts about the integer. Retrieved 31 October 2024, from https://numbermatics.com/n/428945379072000/
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The information we have on file for 428945379072000 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 428945379072000, math, Factors of 428945379072000, curriculum, school, college, exams, university, Prime factorization of 428945379072000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, nine hundred forty-five billion, three hundred seventy-nine million, seventy-two thousand.