138208968173280000
138,208,968,173,280,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138208968173280000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 540 divisors.
138208968173280000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 138208968173280000:
28 × 3 × 54 × 6012 × 797161
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 601 × 601 × 797161)See below for interesting mathematical facts about the number 138208968173280000 from the Numbermatics database.
Names of 138208968173280000
- Cardinal: 138208968173280000 can be written as One hundred thirty-eight quadrillion, two hundred eight trillion, nine hundred sixty-eight billion, one hundred seventy-three million, two hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3820896817328 × 1017
Factors of 138208968173280000
Divisors of 138208968173280000
- Number of divisors d(n): 540
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 601 625 640 750 768 800 960 1000 1200 1202 1250 1280 1500 1600 1803 1875 1920 2000 2400 2404 2500 3000 3005 3200 3606 3750 3840 4000 4800 4808 5000 6000 6010 6400 7212 7500 8000 9015 9600 9616 10000 12000 12020 14424 15000 15025 16000 18030 19200 19232 20000 24000 24040 28848 30000 30050 32000 36060 38464 40000 45075 48000 48080 57696 60000 60100 72120 75125 76928 80000 90150 96000 96160 115392 120000 120200 144240 150250 153856 160000 180300 192320 225375 230784 240000 240400 288480 300500 360600 361201 375625 384640 450750 461568 480000 480800 576960 601000 721200 722402 751250 769280 797161 901500 961600 1083603 1126875 1153920 1202000 1442400 1444804 1502500 1594322 1803000 1806005 1923200 2167206 2253750 2307840 2391483 2404000 2884800 2889608 3005000 3188644 3606000 3612010 3846400 3985805 4334412 4507500 4782966 4808000 5418015 5769600 5779216 6010000 6377288 7212000 7224020 7971610 8668824 9015000 9030025 9565932 9616000 10836030 11539200 11558432 11957415 12020000 12754576 14424000 14448040 15943220 17337648 18030000 18060050 19131864 19232000 19929025 21672060 23116864 23914830 24040000 25509152 27090075 28848000 28896080 31886440 34675296 36060000 36120100 38263728 39858050 43344120 45150125 46233728 47829660 48080000 51018304 54180150 57696000 57792160 59787075 63772880 69350592 72120000 72240200 76527456 79716100 86688240 90300250 92467456 95659320 96160000 99645125 102036608 108360300 115584320 119574150 127545760 135450375 138701184 144240000 144480400 153054912 159432200 173376480 180600500 191318640 199290250 204073216 216720600 225750625 231168640 239148300 255091520 270900750 277402368 288480000 288960800 298935375 306109824 318864400 346752960 361201000 382637280 398580500 433441200 451501250 462337280 478296600 479093761 498225625 510183040 541801500 577921600 597870750 612219648 637728800 677251875 693505920 722402000 765274560 797161000 866882400 903002500 956593200 958187522 996451250 1020366080 1083603000 1155843200 1195741500 1275457600 1354503750 1387011840 1437281283 1444804000 1494676875 1530549120 1594322000 1733764800 1806005000 1913186400 1916375044 1992902500 2167206000 2311686400 2391483000 2395468805 2550915200 2709007500 2874562566 2889608000 2989353750 3061098240 3188644000 3467529600 3612010000 3826372800 3832750088 3985805000 4334412000 4782966000 4790937610 5101830400 5418015000 5749125132 5779216000 5978707500 6377288000 6935059200 7186406415 7224020000 7652745600 7665500176 7971610000 8668824000 9565932000 9581875220 10836030000 11498250264 11558432000 11957415000 11977344025 12754576000 14372812830 14448040000 15305491200 15331000352 15943220000 17337648000 19131864000 19163750440 21672060000 22996500528 23914830000 23954688050 25509152000 28745625660 28896080000 30662000704 31886440000 34675296000 35932032075 38263728000 38327500880 43344120000 45993001056 47829660000 47909376100 57491251320 57792160000 59886720125 61324001408 63772880000 71864064150 76527456000 76655001760 86688240000 91986002112 95659320000 95818752200 114982502640 119773440250 122648002816 127545760000 143728128300 153310003520 173376480000 179660160375 183972004224 191318640000 191637504400 229965005280 239546880500 287456256600 287935350361 299433600625 306620007040 359320320750 367944008448 382637280000 383275008800 459930010560 479093761000 574912513200 575870700722 598867201250 613240014080 718640641500 766550017600 863806051083 898300801875 919860021120 958187522000 1149825026400 1151741401444 1197734402500 1437281283000 1439676751805 1533100035200 1727612102166 1796601603750 1839720042240 1916375044000 2299650052800 2303482802888 2395468805000 2874562566000 2879353503610 3066200070400 3455224204332 3593203207500 3832750088000 4319030255415 4599300105600 4606965605776 4790937610000 5749125132000 5758707007220 6910448408664 7186406415000 7198383759025 7665500176000 8638060510830 9198600211200 9213931211552 9581875220000 11498250264000 11517414014440 13820896817328 14372812830000 14396767518050 15331000352000 17276121021660 18427862423104 19163750440000 21595151277075 22996500528000 23034828028880 27641793634656 28745625660000 28793535036100 34552242043320 35991918795125 36855724846208 38327500880000 43190302554150 45993001056000 46069656057760 55283587269312 57491251320000 57587070072200 69104484086640 71983837590250 73711449692416 76655001760000 86380605108300 92139312115520 107975756385375 110567174538624 114982502640000 115174140144400 138208968173280 143967675180500 172761210216600 179959593975625 184278624231040 215951512770750 221134349077248 229965005280000 230348280288800 276417936346560 287935350361000 345522420433200 359919187951250 368557248462080 431903025541500 460696560577600 539878781926875 552835872693120 575870700722000 691044840866400 719838375902500 863806051083000 921393121155200 1079757563853750 1105671745386240 1151741401444000 1382089681732800 1439676751805000 1727612102166000 1842786242310400 2159515127707500 2303482802888000 2764179363465600 2879353503610000 3455224204332000 4319030255415000 4606965605776000 5528358726931200 5758707007220000 6910448408664000 8638060510830000 9213931211552000 11517414014440000 13820896817328000 17276121021660000 23034828028880000 27641793634656000 34552242043320000 46069656057760000 69104484086640000 138208968173280000
- Sum of all divisors σ(n): 460416285804779304
- Sum of proper divisors (its aliquot sum) s(n): 322207317631499304
- 138208968173280000 is an abundant number, because the sum of its proper divisors (322207317631499304) is greater than itself. Its abundance is 183998349458219304
Bases of 138208968173280000
- Binary: 1111010110000010001010011000001001011110111011011000000002
- Hexadecimal: 0x1EB045304BDDB00
- Base-36: 11SUZNGGK5XC
Squares and roots of 138208968173280000
- 138208968173280000 squared (1382089681732800002) is 19101718883522723980105958400000000
- 138208968173280000 cubed (1382089681732800003) is 2640028857227733733976114652387691671552000000000000
-
The
square root of 138208968173280000 is 371764667.7311871713 -
The
cube root of 138208968173280000 is 517025.6328720195
Scales and comparisons
How big is 138208968173280000?- 138,208,968,173,280,000 seconds is equal to 4,394,617,679 years, 26 weeks, 21 hours, 20 minutes.
-
To count from 1 to 138,208,968,173,280,000 would take you about thirteen billion, one hundred eighty-three million, eight hundred fifty-three thousand and thirty-eight 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 138208968173280000 cubic inches would be around 43085.5 feet tall.
Recreational maths with 138208968173280000
- 138208968173280000 backwards is 000082371869802831
- The number of decimal digits it has is: 18
- The sum of 138208968173280000's digits is 66
- 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 138208968173280000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 138208968173280000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138208968173280000/
Chicago style:
Numbermatics. 2024. "Number 138208968173280000 - Facts about the integer". https://numbermatics.com/n/138208968173280000/
The information we have on file for 138208968173280000 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 138208968173280000, math, Factors of 138208968173280000, curriculum, school, college, exams, university, Prime factorization of 138208968173280000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred eight trillion, nine hundred sixty-eight billion, one hundred seventy-three million, two hundred eighty thousand.