138360641126400
138,360,641,126,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138360641126400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3456 divisors.
138360641126400 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 138360641126400:
215 × 32 × 52 × 72 × 11 × 37 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 37 × 941)See below for interesting mathematical facts about the number 138360641126400 from the Numbermatics database.
Names of 138360641126400
- Cardinal: 138360641126400 can be written as One hundred thirty-eight trillion, three hundred sixty billion, six hundred forty-one million, one hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.383606411264 × 1014
Factors of 138360641126400
Divisors of 138360641126400
- Number of divisors d(n): 3456
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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 28 30 32 33 35 36 37 40 42 44 45 48 49 50 55 56 60 63 64 66 70 72 74 75 77 80 84 88 90 96 98 99 100 105 110 111 112 120 126 128 132 140 144 147 148 150 154 160 165 168 175 176 180 185 192 196 198 200 210 220 222 224 225 231 240 245 252 256 259 264 275 280 288 294 296 300 308 315 320 330 333 336 350 352 360 370 384 385 392 396 400 407 420 440 441 444 448 450 462 480 490 495 504 512 518 525 528 539 550 555 560 576 588 592 600 616 630 640 660 666 672 693 700 704 720 735 740 768 770 777 784 792 800 814 825 840 880 882 888 896 900 924 925 941 960 980 990 1008 1024 1036 1050 1056 1078 1100 1110 1120 1152 1155 1176 1184 1200 1221 1225 1232 1260 1280 1295 1320 1332 1344 1386 1400 1408 1440 1470 1480 1536 1540 1554 1568 1575 1584 1600 1617 1628 1650 1665 1680 1760 1764 1776 1792 1800 1813 1848 1850 1882 1920 1925 1960 1980 2016 2035 2048 2072 2100 2112 2156 2200 2205 2220 2240 2304 2310 2331 2352 2368 2400 2442 2450 2464 2475 2520 2560 2590 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288251335680 299481907200 307468091392 308840716800 311623065600 313742950400 314456002560 329430097920 339952435200 345901602816 349395558400 352960819200 359378288640 360314169600 373947678720 384335114240 393070003200 395316117504 411787622400 415497420800 419274670080 432377003520 439240130560 449222860800 461202137088 467434598400 470614425600 480418892800 494145146880 503129604096 524093337600 534210969600 540471254400 549050163200 564737310720 576502671360 598963814400 614936182784 617681433600 623246131200 628912005120 658860195840 691803205632 698791116800 705921638400 720628339200 747895357440 768670228480 786140006400 790632235008 823575244800 838549340160 864754007040 898445721600 922404274176 934869196800 941228851200 960837785600 988290293760 1048186675200 1080942508800 1098100326400 1153005342720 1235362867200 1246492262400 1257824010240 1317720391680 1383606411264 1397582233600 1411843276800 1441256678400 1537340456960 1572280012800 1647150489600 1729508014080 1796891443200 1844808548352 1869738393600 1921675571200 1976580587520 2096373350400 2161885017600 2196200652800 2306010685440 2470725734400 2515648020480 2767212822528 2823686553600 2882513356800 3074680913920 3144560025600 3294300979200 3459016028160 3739476787200 3843351142400 3953161175040 4192746700800 4323770035200 4612021370880 4941451468800 5534425645056 5765026713600 6289120051200 6588601958400 6918032056320 7686702284800 8647540070400 9224042741760 9882902937600 11530053427200 12578240102400 13836064112640 15373404569600 17295080140800 19765805875200 23060106854400 27672128225280 34590160281600 46120213708800 69180320563200 138360641126400
- Sum of all divisors σ(n): 646649507340720
- Sum of proper divisors (its aliquot sum) s(n): 508288866214320
- 138360641126400 is an abundant number, because the sum of its proper divisors (508288866214320) is greater than itself. Its abundance is 369928225087920
Bases of 138360641126400
- Binary: 111110111010110100110001101110110000000000000002
- Hexadecimal: 0x7DD698DD8000
- Base-36: 1D1M01CZK0
Squares and roots of 138360641126400
- 138360641126400 squared (1383606411264002) is 19143667012908451060776960000
- 138360641126400 cubed (1383606411264003) is 2648730041416328073517858357713567744000000
-
The
square root of 138360641126400 is 11762680.0146225179 -
The
cube root of 138360641126400 is 51721.4694737373
Scales and comparisons
How big is 138360641126400?- 138,360,641,126,400 seconds is equal to 4,399,440 years, 21 weeks, 2 days, 8 hours.
-
To count from 1 to 138,360,641,126,400 would take you about ten million, nine hundred ninety-eight thousand, six hundred one 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 138360641126400 cubic inches would be around 4310.1 feet tall.
Recreational maths with 138360641126400
- 138360641126400 backwards is 004621146063831
- 138360641126400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138360641126400's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 138360641126400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 138360641126400 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138360641126400/
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Numbermatics. 2024. "Number 138360641126400 - Facts about the integer". https://numbermatics.com/n/138360641126400/
The information we have on file for 138360641126400 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!
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