138401536204800
138,401,536,204,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138401536204800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3780 divisors.
138401536204800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, seven hundred eighty divisors.
Prime factorization of 138401536204800:
213 × 34 × 52 × 112 × 192 × 191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 19 × 19 × 191)See below for interesting mathematical facts about the number 138401536204800 from the Numbermatics database.
Names of 138401536204800
- Cardinal: 138401536204800 can be written as One hundred thirty-eight trillion, four hundred one billion, five hundred thirty-six million, two hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.384015362048 × 1014
Factors of 138401536204800
Divisors of 138401536204800
- Number of divisors d(n): 3780
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 25 27 30 32 33 36 38 40 44 45 48 50 54 55 57 60 64 66 72 75 76 80 81 88 90 95 96 99 100 108 110 114 120 121 128 132 135 144 150 152 160 162 165 171 176 180 190 191 192 198 200 209 216 220 225 228 240 242 256 264 270 275 285 288 297 300 304 320 324 330 342 352 360 361 363 380 382 384 396 400 405 418 432 440 450 456 475 480 484 495 512 513 528 540 550 570 573 576 594 600 605 608 627 640 648 660 675 684 704 720 722 726 760 764 768 792 800 810 825 836 855 864 880 891 900 912 950 955 960 968 990 1024 1026 1045 1056 1080 1083 1089 1100 1140 1146 1152 1188 1200 1210 1216 1254 1280 1296 1320 1350 1368 1408 1425 1440 1444 1452 1485 1520 1528 1536 1539 1584 1600 1620 1650 1672 1710 1719 1728 1760 1782 1800 1805 1815 1824 1881 1900 1910 1920 1936 1980 2025 2048 2052 2090 2101 2112 2160 2166 2178 2200 2280 2292 2299 2304 2376 2400 2420 2432 2475 2508 2560 2565 2592 2640 2700 2736 2816 2850 2865 2880 2888 2904 2970 3025 3040 3056 3072 3078 3135 3168 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291371655168 303512140800 307558969344 314548945920 320373926400 331104153600 341732188160 346003840512 349498828800 360420667200 362307686400 364214568960 381271449600 383383756800 384448711680 393186182400 404682854400 419398594560 427165235200 432504800640 455268211200 461338454016 465998438400 480560889600 485619425280 503278313472 512598282240 524248243200 540631000800 571907174400 576673067520 607024281600 615117938688 629097891840 640747852800 662208307200 692007681024 698997657600 720841334400 724615372800 728429137920 768897423360 786372364800 809365708800 838797189120 854330470400 865009601280 910536422400 922676908032 961121779200 1025196564480 1048496486400 1081262001600 1143814348800 1153346135040 1214048563200 1258195783680 1281495705600 1384015362048 1397995315200 1441682668800 1456858275840 1537794846720 1572744729600 1708660940800 1730019202560 1821072844800 1845353816064 1922243558400 2096992972800 2162524003200 2306692270080 2428097126400 2516391567360 2562991411200 2768030724096 2883365337600 3075589693440 3145489459200 3460038405120 3642145689600 3844487116800 4193985945600 4325048006400 4613384540160 5125982822400 5536061448192 5766730675200 6290978918400 6920076810240 7284291379200 7688974233600 8650096012800 9226769080320 11533461350400 12581957836800 13840153620480 15377948467200 17300192025600 23066922700800 27680307240960 34600384051200 46133845401600 69200768102400 138401536204800
- Sum of all divisors σ(n): 597885940225728
- Sum of proper divisors (its aliquot sum) s(n): 459484404020928
- 138401536204800 is an abundant number, because the sum of its proper divisors (459484404020928) is greater than itself. Its abundance is 321082867816128
Bases of 138401536204800
- Binary: 111110111100000000111100110011011100000000000002
- Hexadecimal: 0x7DE01E66E000
- Base-36: 1D24SD8G00
Squares and roots of 138401536204800
- 138401536204800 squared (1384015362048002) is 19154985223848565187543040000
- 138401536204800 cubed (1384015362048003) is 2651079380960886227196270952518254592000000
-
The
square root of 138401536204800 is 11764418.2263637669 -
The
cube root of 138401536204800 is 51726.5647213813
Scales and comparisons
How big is 138401536204800?- 138,401,536,204,800 seconds is equal to 4,400,740 years, 38 weeks, 6 days.
-
To count from 1 to 138,401,536,204,800 would take you about eleven million, one thousand, eight hundred fifty-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 138401536204800 cubic inches would be around 4310.5 feet tall.
Recreational maths with 138401536204800
- 138401536204800 backwards is 008402635104831
- 138401536204800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138401536204800's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 138401536204800 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 138401536204800 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138401536204800/
Chicago style:
Numbermatics. 2024. "Number 138401536204800 - Facts about the integer". https://numbermatics.com/n/138401536204800/
The information we have on file for 138401536204800 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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