42688384764300000
42,688,384,764,300,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42688384764300000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3456 divisors.
42688384764300000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 42688384764300000:
25 × 32 × 55 × 113 × 613 × 157
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 61 × 61 × 61 × 157)See below for interesting mathematical facts about the number 42688384764300000 from the Numbermatics database.
Names of 42688384764300000
- Cardinal: 42688384764300000 can be written as Forty-two quadrillion, six hundred eighty-eight trillion, three hundred eighty-four billion, seven hundred sixty-four million, three hundred thousand.
Scientific notation
- Scientific notation: 4.26883847643 × 1016
Factors of 42688384764300000
Divisors of 42688384764300000
- Number of divisors d(n): 3456
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 61 66 72 75 80 88 90 96 99 100 110 120 121 122 125 132 144 150 157 160 165 176 180 183 198 200 220 225 240 242 244 250 264 275 288 300 305 314 330 352 360 363 366 375 396 400 440 450 471 480 484 488 495 500 528 549 550 600 605 610 625 628 660 671 720 726 732 750 785 792 800 825 880 900 915 942 968 976 990 1000 1056 1089 1098 1100 1125 1200 1210 1220 1250 1256 1320 1331 1342 1375 1413 1440 1452 1464 1500 1525 1570 1584 1650 1727 1760 1800 1815 1830 1875 1884 1936 1952 1980 2000 2013 2178 2196 2200 2250 2355 2400 2420 2440 2475 2500 2512 2640 2662 2684 2745 2750 2826 2904 2928 3000 3025 3050 3125 3140 3168 3300 3355 3454 3600 3630 3660 3721 3750 3768 3872 3925 3960 3993 4000 4026 4125 4356 4392 4400 4500 4575 4710 4840 4880 4950 5000 5024 5181 5280 5324 5368 5445 5490 5500 5625 5652 5808 5856 6000 6039 6050 6100 6250 6280 6600 6655 6710 6875 6908 7065 7200 7260 7320 7381 7442 7500 7536 7625 7850 7920 7986 8052 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174952396575000 176398284150000 177868269851250 189726154508000 194038112565000 213441923821500 215597902850000 233269862100000 237157693135000 242547640706250 258717483420000 266802404776875 271900539900000 284589231762000 296447116418750 323396854275000 341507078114400 349904793150000 352796568300000 355736539702500 388076225130000 426883847643000 431195805700000 444670674628125 474315386270000 485095281412500 533604809553750 569178463524000 592894232837500 646793708550000 699809586300000 711473079405000 776152450260000 853767695286000 889341349256250 948630772540000 970190562825000 1067209619107500 1185788465675000 1293587417100000 1334012023884375 1422946158810000 1707535390572000 1778682698512500 1940381125650000 2134419238215000 2371576931350000 2668024047768750 2845892317620000 3557365397025000 3880762251300000 4268838476430000 4743153862700000 5336048095537500 7114730794050000 8537676952860000 10672096191075000 14229461588100000 21344192382150000 42688384764300000
- Sum of all divisors σ(n): 170758512393985152
- Sum of proper divisors (its aliquot sum) s(n): 128070127629685152
- 42688384764300000 is an abundant number, because the sum of its proper divisors (128070127629685152) is greater than itself. Its abundance is 85381742865385152
Bases of 42688384764300000
- Binary: 100101111010100011011100000110011110100101001010111000002
- Hexadecimal: 0x97A8DC19E94AE0
- Base-36: BOBRP8B8C80
Squares and roots of 42688384764300000
- 42688384764300000 squared (426883847643000002) is 1822298193784920366554490000000000
- 42688384764300000 cubed (426883847643000003) is 77790966451579603526713462201756707000000000000000
-
The
square root of 42688384764300000 is 206611676.2535457481 -
The
cube root of 42688384764300000 is 349491.4649183277
Scales and comparisons
How big is 42688384764300000?- 42,688,384,764,300,000 seconds is equal to 1,357,358,591 years, 34 weeks, 2 days, 14 hours.
-
To count from 1 to 42,688,384,764,300,000 would take you about four billion, seventy-two million, seventy-five thousand, seven hundred seventy-four 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 42688384764300000 cubic inches would be around 29124.3 feet tall.
Recreational maths with 42688384764300000
- 42688384764300000 backwards is 00000346748388624
- The number of decimal digits it has is: 17
- The sum of 42688384764300000's digits is 63
- More coming soon!
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MLA style:
"Number 42688384764300000 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
APA style:
Numbermatics. (2024). Number 42688384764300000 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/42688384764300000/
Chicago style:
Numbermatics. 2024. "Number 42688384764300000 - Facts about the integer". https://numbermatics.com/n/42688384764300000/
The information we have on file for 42688384764300000 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 42688384764300000, math, Factors of 42688384764300000, curriculum, school, college, exams, university, Prime factorization of 42688384764300000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, six hundred eighty-eight trillion, three hundred eighty-four billion, seven hundred sixty-four million, three hundred thousand.