138340985899563200
138,340,985,899,563,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138340985899563200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 672 divisors.
138340985899563200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138340985899563200:
26 × 52 × 13 × 43 × 47 × 6277 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 43 × 47 × 6277 × 524287)See below for interesting mathematical facts about the number 138340985899563200 from the Numbermatics database.
Names of 138340985899563200
- Cardinal: 138340985899563200 can be written as One hundred thirty-eight quadrillion, three hundred forty trillion, nine hundred eighty-five billion, eight hundred ninety-nine million, five hundred sixty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.383409858995632 × 1017
Factors of 138340985899563200
Divisors of 138340985899563200
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 43 47 50 52 64 65 80 86 94 100 104 130 160 172 188 200 208 215 235 260 320 325 344 376 400 416 430 470 520 559 611 650 688 752 800 832 860 940 1040 1075 1118 1175 1222 1300 1376 1504 1600 1720 1880 2021 2080 2150 2236 2350 2444 2600 2752 2795 3008 3055 3440 3760 4042 4160 4300 4472 4700 4888 5200 5590 6110 6277 6880 7520 8084 8600 8944 9400 9776 10105 10400 11180 12220 12554 13760 13975 15040 15275 16168 17200 17888 18800 19552 20210 20800 22360 24440 25108 26273 27950 30550 31385 32336 34400 35776 37600 39104 40420 44720 48880 50216 50525 52546 55900 61100 62770 64672 68800 75200 80840 81601 89440 97760 100432 101050 105092 111800 122200 125540 129344 131365 156925 161680 163202 178880 195520 200864 202100 210184 223600 244400 251080 262730 269911 295019 313850 323360 326404 401728 404200 408005 420368 447200 488800 502160 524287 525460 539822 590038 627700 646720 652808 656825 808400 816010 840736 894400 977600 1004320 1048574 1050920 1079644 1180076 1255400 1305616 1313650 1349555 1475095 1616800 1632020 1681472 2008640 2040025 2097148 2101840 2159288 2360152 2510800 2611232 2621435 2627300 2699110 2950190 3233600 3264040 3508843 3835247 4080050 4194296 4203680 4318576 4720304 5021600 5222464 5242870 5254600 5398220 5900380 6528080 6747775 6815731 7017686 7375475 7670494 8160100 8388592 8407360 8637152 9440608 10043200 10485740 10509200 10796440 11800760 12685817 13056160 13107175 13495550 13631462 14035372 14750950 15340988 16320200 16777184 17274304 17544215 18881216 19176235 20971480 21018400 21592880 22544341 23601520 24641489 25371634 26112320 26214350 26991100 27262924 28070744 29501900 30681976 32640400 33554368 34078655 35088430 38352470 41942960 42036800 43185760 45088682 47203040 49282978 50743268 52428700 53982200 54525848 56141488 59003800 61363952 63429085 65280800 68157310 70176860 76704940 83885920 86371520 87721075 90177364 94406080 95881175 98565956 101486536 104857400 107964400 109051696 112282976 112721705 118007600 122727904 123207445 126858170 130561600 136314620 140353720 153409880 164915621 167771840 170393275 175442150 180354728 191762350 197131912 202973072 209714800 215928800 218103392 224565952 225443410 236015200 245455808 246414890 253716340 272629240 280707440 293076433 306819760 317145425 320339357 329831242 340786550 350884300 360709456 383524700 394263824 405946144 419429600 431857600 436206784 450886820 472030400 492829780 507432680 545258480 561414880 563608525 586152866 613639520 616037225 634290850 640678714 659662484 681573100 701768600 721418912 767049400 788527648 811892288 824578105 838859200 901773640 985659560 1014865360 1059584027 1090516960 1122829760 1127217050 1172305732 1227279040 1232074450 1268581700 1281357428 1319324968 1363146200 1403537200 1442837824 1465382165 1534098800 1577055296 1601696785 1649156210 1803547280 1971319120 2029730720 2119168054 2181033920 2254434100 2344611464 2464148900 2537163400 2562714856 2638649936 2726292400 2807074400 2930764330 3068197600 3203393570 3290949499 3298312420 3607094560 3942638240 4059461440 4122890525 4238336108 4508868200 4689222928 4928297800 5074326800 5125429712 5277299872 5297920135 5452584800 5614148800 5861528660 6136395200 6406787140 6581898998 6596624840 7214189120 7326910825 7885276480 8008483925 8245781050 8476672216 9017736400 9378445856 9856595600 10148653600 10250859424 10554599744 10595840270 10905169600 11723057320 12813574280 13163797996 13193249680 13774592351 14653821650 16016967850 16454747495 16491562100 16953344432 18035472800 18756891712 19713191200 20297307200 20501718848 21191680540 23446114640 25627148560 26327595992 26386499360 26489600675 27549184702 29307643300 32033935700 32909494990 32983124200 33906688864 36070945600 39426382400 42383361080 42782343487 46892229280 51254297120 52655191984 52772998720 52979201350 55098369404 58615286600 64067871400 65818989980 65966248400 67813377728 68872961755 82273737475 84766722160 85564686974 93784458560 102508594240 105310383968 105958402700 110196738808 117230573200 128135742800 131637979960 131932496800 137745923510 141510828457 154674626453 164547474950 169533444320 171129373948 210620767936 211916805400 213911717435 220393477616 234461146400 256271485600 263275959920 263864993600 275491847020 283021656914 309349252906 329094949900 339066888640 342258747896 344364808775 423833610800 427823434870 440786955232 468922292800 512542971200 526551919840 550983694040 566043313828 618698505812 658189899800 684517495792 688729617550 707554142285 773373132265 847667221600 855646869740 881573910464 1053103839680 1069558587175 1101967388080 1132086627656 1237397011624 1316379799600 1369034991584 1377459235100 1415108284570 1546746264530 1695334443200 1711293739480 1839640769941 2010770143889 2139117174350 2203934776160 2264173255312 2474794023248 2632759599200 2738069983168 2754918470200 2830216569140 3093492529060 3422587478960 3537770711425 3679281539882 3866865661325 4021540287778 4278234348700 4407869552320 4528346510624 4949588046496 5265519198400 5509836940400 5660433138280 6186985058120 6651008937479 6845174957920 7075541422850 7358563079764 7733731322650 8043080575556 8556468697400 9056693021248 9198203849705 9899176092992 10053850719445 11019673880800 11320866276560 12373970116240 13302017874958 13690349915840 14151082845700 14717126159528 15467462645300 16086161151112 17112937394800 18396407699410 20107701438890 22039347761600 22641732553120 24747940232480 26604035749916 28302165691400 29434252319056 30934925290600 32172322302224 33255044687395 34225874789600 36792815398820 40215402877780 45283465106240 45991019248525 49495880464960 50269253597225 53208071499832 56604331382800 58868504638112 61869850581200 64344644604448 66510089374790 68451749579200 73585630797640 80430805755560 86463116187227 91982038497050 100538507194450 106416142999664 113208662765600 117737009276224 123739701162400 128689289208896 133020178749580 147171261595280 160861611511120 166275223436975 172926232374454 183964076994100 201077014388900 212832285999328 226417325531200 247479402324800 266040357499160 294342523190560 321723223022240 332550446873950 345852464748908 367928153988200 402154028777800 425664571998656 432315580936135 532080714998320 588685046381120 643446446044480 665100893747900 691704929497816 735856307976400 804308057555600 864631161872270 1064161429996640 1330201787495800 1383409858995632 1471712615952800 1608616115111200 1729262323744540 2128322859993280 2161577904680675 2660403574991600 2766819717991264 2943425231905600 3217232230222400 3458524647489080 4323155809361350 5320807149983200 5533639435982528 6917049294978160 8646311618722700 10641614299966400 13834098589956320 17292623237445400 27668197179912640 34585246474890800 69170492949781600 138340985899563200
- Sum of all divisors σ(n): 383158613729869824
- Sum of proper divisors (its aliquot sum) s(n): 244817627830306624
- 138340985899563200 is an abundant number, because the sum of its proper divisors (244817627830306624) is greater than itself. Its abundance is 106476641930743424
Bases of 138340985899563200
- Binary: 1111010110111110001100100110010100110101110111000110000002
- Hexadecimal: 0x1EB7C64CA6BB8C0
- Base-36: 11U5SBKA6XFK
Squares and roots of 138340985899563200
- 138340985899563200 squared (1383409858995632002) is 19138228379663144124717950794240000
- 138340985899563200 cubed (1383409858995632003) is 2647601382413599289951037010949172840309075968000000
-
The
square root of 138340985899563200 is 371942180.8555238333 -
The
cube root of 138340985899563200 is 517190.2020938745
Scales and comparisons
How big is 138340985899563200?- 138,340,985,899,563,200 seconds is equal to 4,398,815,434 years, 43 weeks, 4 days, 23 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,340,985,899,563,200 would take you about thirteen billion, one hundred ninety-six million, four hundred forty-six thousand, three hundred 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 138340985899563200 cubic inches would be around 43099.2 feet tall.
Recreational maths with 138340985899563200
- 138340985899563200 backwards is 002365998589043831
- The number of decimal digits it has is: 18
- The sum of 138340985899563200's digits is 83
- 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 138340985899563200 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 138340985899563200 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138340985899563200/
Chicago style:
Numbermatics. 2024. "Number 138340985899563200 - Facts about the integer". https://numbermatics.com/n/138340985899563200/
The information we have on file for 138340985899563200 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 138340985899563200, math, Factors of 138340985899563200, curriculum, school, college, exams, university, Prime factorization of 138340985899563200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred forty trillion, nine hundred eighty-five billion, eight hundred ninety-nine million, five hundred sixty-three thousand, two hundred.