137968728321218300
137,968,728,321,218,300 is an even composite number composed of four prime numbers multiplied together.
137968728321218300 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred eighty-six divisors.
Prime factorization of 137968728321218300:
22 × 52 × 118 × 235
(2 × 2 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 23 × 23 × 23 × 23 × 23)See below for interesting mathematical facts about the number 137968728321218300 from the Numbermatics database.
Names of 137968728321218300
- Cardinal: 137968728321218300 can be written as One hundred thirty-seven quadrillion, nine hundred sixty-eight trillion, seven hundred twenty-eight billion, three hundred twenty-one million, two hundred eighteen thousand, three hundred.
Scientific notation
- Scientific notation: 1.379687283212183 × 1017
Factors of 137968728321218300
Divisors of 137968728321218300
- Number of divisors d(n): 486
-
Complete list of divisors:
1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 121 220 230 242 253 275 460 484 506 529 550 575 605 1012 1058 1100 1150 1210 1265 1331 2116 2300 2420 2530 2645 2662 2783 3025 5060 5290 5324 5566 5819 6050 6325 6655 10580 11132 11638 12100 12167 12650 13225 13310 13915 14641 23276 24334 25300 26450 26620 27830 29095 29282 30613 33275 48668 52900 55660 58190 58564 60835 61226 64009 66550 69575 73205 116380 121670 122452 128018 133100 133837 139150 145475 146410 153065 161051 243340 256036 267674 278300 279841 290950 292820 304175 306130 320045 322102 336743 366025 535348 559682 581900 608350 612260 640090 644204 669185 673486 704099 732050 765325 805255 1119364 1216700 1280180 1338370 1346972 1399205 1408198 1464100 1472207 1530650 1600225 1610510 1683715 1771561 2676740 2798410 2816396 2944414 3061300 3078251 3200450 3221020 3345925 3367430 3520495 3543122 3704173 4026275 5596820 5888828 6156502 6400900 6436343 6691850 6734860 6996025 7040990 7086244 7361035 7408346 7745089 8052550 8418575 8857805 12313004 12872686 13383700 13992050 14081980 14722070 14816692 15391255 15490178 16105100 16194277 16837150 17602475 17715610 18520865 19487171 25745372 27984100 29444140 30782510 30980356 32181715 32388554 33674300 33860761 35204950 35431220 36805175 37041730 38725445 38974342 40745903 44289025 61565020 64363430 64777108 67721522 70409900 70799773 73610350 74083460 76956275 77450890 77948684 80971385 81491806 85195979 88578050 92604325 97435855 128726860 135443044 141599546 147220700 153912550 154901780 160908575 161942770 162983612 169303805 170391958 177156100 178137047 185208650 193627225 194871710 203729515 214358881 283199092 307825100 321817150 323885540 338607610 340783916 353998865 356274094 370417300 372468371 387254450 389743420 404856925 407459030 425979895 428717762 448204933 487179275 643634300 677215220 707997730 712548188 744936742 774508900 778797503 809713850 814918060 846519025 851959790 857435524 890685235 896409866 937155769 974358550 1018647575 1071794405 1415995460 1489873484 1557595006 1619427700 1693038050 1703919580 1769994325 1781370470 1792819732 1862341855 1874311538 1948717100 1959507517 2037295150 2129899475 2143588810 2241024665 3115190012 3386076100 3539988650 3562740940 3724683710 3748623076 3893987515 3919015034 4074590300 4097152081 4259798950 4287177620 4453426175 4482049330 4685778845 4930254263 5358972025 7079977300 7449367420 7787975030 7838030068 8194304162 8519597900 8566772533 8906852350 8964098660 9311709275 9371557690 9797537585 9860508526 10308713459 10717944050 11205123325 15575950060 16388608324 17133545066 17813704700 18623418550 18743115380 19469937575 19595075170 19721017052 20485760405 20617426918 21435888100 21554582687 22410246650 23428894225 24651271315 34267090132 37246837100 38939875150 39190150340 40971520810 41234853836 42833862665 43109165374 44820493300 45068672891 46857788450 48987687925 49302542630 51543567295 77879750300 81943041620 85667725330 86218330748 90137345782 93715576900 94234497863 97975375850 98605085260 102428802025 103087134590 107772913435 113395848049 123256356575 171335450660 180274691564 188468995726 195950751700 204857604050 206174269180 214169313325 215545826870 225343364455 226791696098 237100409557 246512713150 257717836475 376937991452 409715208100 428338626650 431091653740 450686728910 453583392196 471172489315 474200819114 493025426300 495755401801 515435672950 538864567175 566979240245 856677253300 901373457820 942344978630 948401638228 991510803602 1030871345900 1036579476493 1077729134350 1126716822275 1133958480490 1185502047785 1884689957260 1983021607204 2073158952986 2155458268700 2253433644550 2267916960980 2355862446575 2371004095570 2478777009005 2608104505127 2834896201225 4146317905972 4506867289100 4711724893150 4742008191140 4957554018010 5182897382465 5216209010254 5453309419811 5669792402450 5927510238925 9423449786300 9915108036020 10365794764930 10432418020508 10906618839622 11339584804900 11402374241423 11855020477850 12393885045025 13040522525635 20731589529860 21813237679244 22804748482846 23710040955700 24787770090050 25914486912325 26081045051270 27266547099055 45609496965692 49575540180100 51828973824650 52162090102540 54533094198110 57011871207115 59986403617921 65202612628175 103657947649300 109066188396220 114023742414230 119972807235842 125426116655653 130405225256350 136332735495275 228047484828460 239945614471684 250852233311306 260810450512700 272665470990550 285059356035575 299932018089605 501704466622612 545330941981100 570118712071150 599864036179210 627130583278265 1140237424142300 1199728072358420 1254261166556530 1379687283212183 1499660090448025 2508522333113060 2759374566424366 2999320180896050 3135652916391325 5518749132848732 5998640361792100 6271305832782650 6898436416060915 12542611665565300 13796872832121830 27593745664243660 34492182080304575 68984364160609150 137968728321218300
- Sum of all divisors σ(n): 344300959053789192
- Sum of proper divisors (its aliquot sum) s(n): 206332230732570892
- 137968728321218300 is an abundant number, because the sum of its proper divisors (206332230732570892) is greater than itself. Its abundance is 68363502411352592
Bases of 137968728321218300
- Binary: 1111010100010100111010011110100011011001011010110111111002
- Hexadecimal: 0x1EA29D3D1B2D6FC
- Base-36: 11QHTYSJG9H8
Squares and roots of 137968728321218300
- 137968728321218300 squared (1379687283212183002) is 19035369994574144625825996254890000
- 137968728321218300 cubed (1379687283212183003) is 2626285791275270825241364613281899692722132487000000
-
The
square root of 137968728321218300 is 371441419.7706258769 -
The
cube root of 137968728321218300 is 516725.8882132649
Scales and comparisons
How big is 137968728321218300?- 137,968,728,321,218,300 seconds is equal to 4,386,978,795 years, 16 weeks, 3 days, 13 hours, 58 minutes, 20 seconds.
-
To count from 1 to 137,968,728,321,218,300 would take you about thirteen billion, one hundred sixty million, nine hundred thirty-six thousand, three hundred eighty-five 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 137968728321218300 cubic inches would be around 43060.5 feet tall.
Recreational maths with 137968728321218300
- 137968728321218300 backwards is 003812123827869731
- The number of decimal digits it has is: 18
- The sum of 137968728321218300's digits is 71
- 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 137968728321218300 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 137968728321218300 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/137968728321218300/
Chicago style:
Numbermatics. 2024. "Number 137968728321218300 - Facts about the integer". https://numbermatics.com/n/137968728321218300/
The information we have on file for 137968728321218300 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 137968728321218300, math, Factors of 137968728321218300, curriculum, school, college, exams, university, Prime factorization of 137968728321218300, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, nine hundred sixty-eight trillion, seven hundred twenty-eight billion, three hundred twenty-one million, two hundred eighteen thousand, three hundred.