13678387984800
13,678,387,984,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13678387984800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3888 divisors.
13678387984800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred eighty-eight divisors.
Prime factorization of 13678387984800:
25 × 33 × 52 × 72 × 112 × 292 × 127
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 11 × 29 × 29 × 127)See below for interesting mathematical facts about the number 13678387984800 from the Numbermatics database.
Names of 13678387984800
- Cardinal: 13678387984800 can be written as Thirteen trillion, six hundred seventy-eight billion, three hundred eighty-seven million, nine hundred eighty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.36783879848 × 1013
Factors of 13678387984800
Divisors of 13678387984800
- Number of divisors d(n): 3888
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 29 30 32 33 35 36 40 42 44 45 48 49 50 54 55 56 58 60 63 66 70 72 75 77 80 84 87 88 90 96 98 99 100 105 108 110 112 116 120 121 126 127 132 135 140 144 145 147 150 154 160 165 168 174 175 176 180 189 196 198 200 203 210 216 220 224 225 231 232 240 242 245 252 254 261 264 270 275 280 288 290 294 297 300 308 315 319 330 336 348 350 352 360 363 378 381 385 392 396 400 406 420 432 435 440 441 450 462 464 480 484 490 495 504 508 522 525 528 539 540 550 560 580 588 594 600 605 609 616 630 635 638 660 672 675 693 696 700 720 725 726 735 756 762 770 783 784 792 800 812 825 840 841 847 864 870 880 882 889 900 924 928 945 957 968 980 990 1008 1015 1016 1044 1050 1056 1078 1080 1089 1100 1120 1143 1155 1160 1176 1188 1200 1210 1218 1225 1232 1260 1270 1276 1305 1320 1323 1350 1386 1392 1397 1400 1421 1440 1450 1452 1470 1485 1512 1524 1540 1566 1568 1575 1584 1595 1617 1624 1650 1680 1682 1694 1740 1760 1764 1778 1800 1815 1827 1848 1890 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5551293825 5583015504 5615101800 5652226440 5699328327 5756897300 5815641150 5895856890 5921380080 5983546800 6125565600 6203350560 6217449084 6280251600 6288914016 6332587030 6344335800 6513518088 6550952100 6579311200 6731490150 6738122160 6784914675 6908276760 6978769380 7065283050 7105656096 7146493200 7180256160 7237242320 7401725100 7486802400 7536301920 7599104436 7693131600 7754188200 7771811355 7861142520 8074609200 8132216400 8141897610 8289932112 8422652700 8459114400 8575791840 8635345950 8684690784 8723461725 8734602800 8882070120 8975320200 9046552900 9211035680 9305025840 9420377400 9433371024 9498880545 9625888800 9770277132 9791258400 9826428150 9868966800 10132139248 10338917600 10362415140 10481523360 10719739800 10770384240 10855863480 11102587650 11166031008 11230203600 11304452880 11398656654 11513794600 11631282300 11791713780 11842760160 11967093600 12212846415 12434898168 12560503200 12665174060 12688671600 12953018925 13027036176 13101904200 13462980300 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43423453920 44410350600 45594626616 46055178400 46525129200 47166855120 47494402725 48851385660 49739592672 50660696240 51812075700 52407616800 53851921200 54279317400 55830155040 56522264400 56993283270 58958568900 59213800800 60792835488 61064232075 62174490840 63325870300 65135180880 67381221600 68391939924 69082767600 69787693800 72372423200 75991044360 77718113550 78162217056 78611425200 81418976100 82899321120 85489924905 88820701200 91189253232 93050258400 94333710240 94988805450 97702771320 101321392480 103624151400 107703842400 108558634800 113044528800 113986566540 117917137800 122128464150 124348981680 126651740600 130270361760 136783879848 138165535200 139575387600 142483208175 151982088720 155436227100 157222850400 162837952200 170979849810 177641402400 182378506464 189977610900 195405542640 207248302800 217117269600 227973133080 235834275600 244256928300 248697963360 253303481200 273567759696 279150775200 284966416350 303964177440 310872454200 325675904400 341959699620 379955221800 390811085280 414496605600 427449624525 455946266160 471668551200 488513856600 506606962400 547135519392 569932832700 621744908400 651351808800 683919399240 759910443600 854899249050 911892532320 977027713200 1139865665400 1243489816800 1367838798480 1519820887200 1709798498100 1954055426400 2279731330800 2735677596960 3419596996200 4559462661600 6839193992400 13678387984800
- Sum of all divisors σ(n): 66026284047360
- Sum of proper divisors (its aliquot sum) s(n): 52347896062560
- 13678387984800 is an abundant number, because the sum of its proper divisors (52347896062560) is greater than itself. Its abundance is 38669508077760
Bases of 13678387984800
- Binary: 110001110000101111110111010011111001101000002
- Hexadecimal: 0xC70BF74F9A0
- Base-36: 4UJRJ1GO0
Squares and roots of 13678387984800
- 13678387984800 squared (136783879848002) is 187098297862721005031040000
- 13678387984800 cubed (136783879848003) is 2559203109461974515051157887048192000000
-
The
square root of 13678387984800 is 3698430.4758640523 -
The
cube root of 13678387984800 is 23915.4361774497
Scales and comparisons
How big is 13678387984800?- 13,678,387,984,800 seconds is equal to 434,930 years, 22 weeks, 1 day, 18 hours.
-
To count from 1 to 13,678,387,984,800 would take you about one million, eighty-seven thousand, three hundred twenty-six 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 13678387984800 cubic inches would be around 1993 feet tall.
Recreational maths with 13678387984800
- 13678387984800 backwards is 00848978387631
- 13678387984800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13678387984800's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 13678387984800 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 13678387984800 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/13678387984800/
Chicago style:
Numbermatics. 2024. "Number 13678387984800 - Facts about the integer". https://numbermatics.com/n/13678387984800/
The information we have on file for 13678387984800 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 13678387984800, math, Factors of 13678387984800, curriculum, school, college, exams, university, Prime factorization of 13678387984800, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, six hundred seventy-eight billion, three hundred eighty-seven million, nine hundred eighty-four thousand, eight hundred.