138137457024
138,137,457,024 is an even composite number composed of five prime numbers multiplied together.
138137457024 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138137457024:
27 × 34 × 72 × 127 × 2141
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 127 × 2141)See below for interesting mathematical facts about the number 138137457024 from the Numbermatics database.
Names of 138137457024
- Cardinal: 138137457024 can be written as One hundred thirty-eight billion, one hundred thirty-seven million, four hundred fifty-seven thousand and twenty-four.
Scientific notation
- Scientific notation: 1.38137457024 × 1011
Factors of 138137457024
Divisors of 138137457024
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 127 128 144 147 162 168 189 192 196 216 224 252 254 288 294 324 336 378 381 384 392 432 441 448 504 508 567 576 588 648 672 756 762 784 864 882 889 896 1008 1016 1134 1143 1152 1176 1296 1323 1344 1512 1524 1568 1728 1764 1778 2016 2032 2141 2268 2286 2352 2592 2646 2667 2688 3024 3048 3136 3429 3456 3528 3556 3969 4032 4064 4282 4536 4572 4704 5184 5292 5334 6048 6096 6223 6272 6423 6858 7056 7112 7938 8001 8064 8128 8564 9072 9144 9408 10287 10368 10584 10668 12096 12192 12446 12846 13716 14112 14224 14987 15876 16002 16256 17128 18144 18288 18669 18816 19269 20574 21168 21336 24003 24192 24384 24892 25692 27432 28224 28448 29974 31752 32004 34256 36288 36576 37338 38538 41148 42336 42672 44961 48006 48768 49784 51384 54864 56007 56448 56896 57807 59948 63504 64008 68512 72009 72576 73152 74676 77076 82296 84672 85344 89922 96012 99568 102768 104909 109728 112014 113792 115614 119896 127008 128016 134883 137024 144018 146304 149352 154152 164592 168021 169344 170688 173421 179844 192024 199136 205536 209818 219456 224028 231228 239792 254016 256032 269766 271907 274048 288036 298704 308304 314727 329184 336042 341376 346842 359688 384048 398272 404649 411072 419636 438912 448056 462456 479584 504063 508032 512064 539532 543814 576072 597408 616608 629454 658368 672084 693684 719376 768096 796544 809298 815721 822144 839272 896112 924912 944181 959168 1008126 1024128 1079064 1087628 1152144 1194816 1213947 1233216 1258908 1316736 1344168 1387368 1438752 1536192 1618596 1631442 1678544 1792224 1849824 1888362 1903349 1918336 2016252 2158128 2175256 2304288 2389632 2427894 2447163 2466432 2517816 2688336 2774736 2832543 2877504 3072384 3237192 3262884 3357088 3584448 3699648 3776724 3806698 4032504 4316256 4350512 4608576 4855788 4894326 5035632 5376672 5549472 5665086 5710047 5755008 6474384 6525768 6714176 7168896 7341489 7399296 7553448 7613396 8065008 8497629 8632512 8701024 9217152 9711576 9788652 10071264 10753344 11098944 11330172 11420094 12948768 13051536 13323443 13428352 14682978 15106896 15226792 16130016 16995258 17130141 17265024 17402048 19423152 19577304 20142528 21506688 22024467 22197888 22660344 22840188 25897536 26103072 26646886 29365956 30213792 30453584 32260032 33990516 34260282 34804096 38846304 39154608 39970329 40285056 44048934 45320688 45680376 51390423 51795072 52206144 53293772 58731912 60427584 60907168 64520064 67981032 68520564 77692608 78309216 79940658 88097868 90641376 91360752 102780846 104412288 106587544 117463824 119910987 120855168 121814336 135962064 137041128 154171269 155385216 156618432 159881316 176195736 181282752 182721504 205561692 213175088 234927648 239821974 243628672 271924128 274082256 308342538 313236864 319762632 352391472 359732961 362565504 365443008 411123384 426350176 469855296 479643948 543848256 548164512 616685076 639525264 704782944 719465922 730886016 822246768 852700352 939710592 959287896 1079198883 1087696512 1096329024 1233370152 1279050528 1409565888 1438931844 1644493536 1705400704 1918575792 2158397766 2192658048 2466740304 2558101056 2819131776 2877863688 3288987072 3837151584 4316795532 4933480608 5116202112 5755727376 6577974144 7674303168 8633591064 9866961216 11511454752 15348606336 17267182128 19733922432 23022909504 34534364256 46045819008 69068728512 138137457024
- Sum of all divisors σ(n): 482202927360
- Sum of proper divisors (its aliquot sum) s(n): 344065470336
- 138137457024 is an abundant number, because the sum of its proper divisors (344065470336) is greater than itself. Its abundance is 205928013312
Bases of 138137457024
- Binary: 100000001010011010001001010001100000002
- Hexadecimal: 0x2029A25180
- Base-36: 1RGJH400
Squares and roots of 138137457024
- 138137457024 squared (1381374570242) is 19081957033057446936576
- 138137457024 cubed (1381374570243) is 2635933019587787623524427653709824
-
The
square root of 138137457024 is 371668.4773073983 -
The
cube root of 138137457024 is 5169.3644551965
Scales and comparisons
How big is 138137457024?- 138,137,457,024 seconds is equal to 4,392 years, 17 weeks, 6 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 138,137,457,024 would take you about eight thousand, seven hundred eighty-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 138137457024 cubic inches would be around 430.8 feet tall.
Recreational maths with 138137457024
- 138137457024 backwards is 420754731831
- The number of decimal digits it has is: 12
- The sum of 138137457024's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138137457024 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
APA style:
Numbermatics. (2024). Number 138137457024 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138137457024/
Chicago style:
Numbermatics. 2024. "Number 138137457024 - Facts about the integer". https://numbermatics.com/n/138137457024/
The information we have on file for 138137457024 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 138137457024, math, Factors of 138137457024, curriculum, school, college, exams, university, Prime factorization of 138137457024, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, one hundred thirty-seven million, four hundred fifty-seven thousand and twenty-four.