46428133096800
46,428,133,096,800 is an even composite number composed of nine prime numbers multiplied together.
What does the number 46428133096800 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 3456 divisors.
46428133096800 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 46428133096800:
25 × 32 × 52 × 7 × 13 × 31 × 67 × 109 × 313
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 13 × 31 × 67 × 109 × 313)See below for interesting mathematical facts about the number 46428133096800 from the Numbermatics database.
Names of 46428133096800
- Cardinal: 46428133096800 can be written as Forty-six trillion, four hundred twenty-eight billion, one hundred thirty-three million, ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 4.64281330968 × 1013
Factors of 46428133096800
Divisors of 46428133096800
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 31 32 35 36 39 40 42 45 48 50 52 56 60 62 63 65 67 70 72 75 78 80 84 90 91 93 96 100 104 105 109 112 117 120 124 126 130 134 140 144 150 155 156 160 168 175 180 182 186 195 200 201 208 210 217 218 224 225 234 240 248 252 260 268 273 279 280 288 300 310 312 313 315 325 327 335 336 350 360 364 372 390 400 402 403 416 420 434 436 450 455 465 468 469 480 496 504 520 525 536 545 546 558 560 585 600 603 620 624 626 630 650 651 654 670 672 700 720 728 744 763 775 780 800 804 806 819 840 868 871 872 900 910 930 936 938 939 975 981 992 1005 1008 1040 1050 1072 1085 1090 1092 1116 1120 1170 1200 1206 1209 1240 1248 1252 1260 1300 1302 1308 1340 1365 1395 1400 1407 1417 1440 1456 1488 1526 1550 1560 1565 1575 1608 1612 1635 1638 1675 1680 1736 1742 1744 1800 1820 1860 1872 1876 1878 1950 1953 1962 2010 2015 2016 2077 2080 2100 2144 2170 2180 2184 2191 2232 2275 2289 2325 2340 2345 2400 2412 2418 2480 2504 2520 2600 2604 2613 2616 2680 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346478605200 357139485360 368477246800 374420428200 386901109140 396821650400 414536902650 425946175200 442172696160 446424356700 464281330968 483626386425 499227237600 510199264800 515868145520 552715870200 580351663710 595232475600 619041774624 644835181900 663259044240 692957210400 714278970720 736954493600 748840856400 773802218280 829073805300 892848713400 928562661936 967252772850 1031736291040 1105431740400 1160703327420 1190464951200 1289670363800 1326518088480 1450879159275 1497681712800 1547604436560 1658147610600 1785697426800 1857125323872 1934505545700 2210863480800 2321406654840 2579340727600 2901758318550 3095208873120 3316295221200 3571394853600 3869011091400 4642813309680 5158681455200 5803516637100 6632590442400 7738022182800 9285626619360 11607033274200 15476044365600 23214066548400 46428133096800
- Sum of all divisors σ(n): 213719841054720
- Sum of proper divisors (its aliquot sum) s(n): 167291707957920
- 46428133096800 is an abundant number, because the sum of its proper divisors (167291707957920) is greater than itself. Its abundance is 120863574861120
Bases of 46428133096800
- Binary: 10101000111001111001000110000101111101011000002
- Hexadecimal: 0x2A39E4617D60
- Base-36: GGGSFPG80
Squares and roots of 46428133096800
- 46428133096800 squared (464281330968002) is 2155571542854175558170240000
- 46428133096800 cubed (464281330968003) is 100079162491308187768361333392799232000000
-
The
square root of 46428133096800 is 6813819.2738580909 -
The
cube root of 46428133096800 is 35941.2965846895
Scales and comparisons
How big is 46428133096800?- 46,428,133,096,800 seconds is equal to 1,476,271 years, 1 week, 14 hours.
-
To count from 1 to 46,428,133,096,800 would take you about three million, six hundred ninety thousand, six hundred seventy-seven 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 46428133096800 cubic inches would be around 2995.1 feet tall.
Recreational maths with 46428133096800
- 46428133096800 backwards is 00869033182464
- The number of decimal digits it has is: 14
- The sum of 46428133096800's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 46428133096800 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 46428133096800 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/46428133096800/
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Numbermatics. 2024. "Number 46428133096800 - Facts about the integer". https://numbermatics.com/n/46428133096800/
The information we have on file for 46428133096800 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 46428133096800, math, Factors of 46428133096800, curriculum, school, college, exams, university, Prime factorization of 46428133096800, STEM, science, technology, engineering, physics, economics, calculator, forty-six trillion, four hundred twenty-eight billion, one hundred thirty-three million, ninety-six thousand, eight hundred.