138607714443264
138,607,714,443,264 is an even composite number composed of six prime numbers multiplied together.
What does the number 138607714443264 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
138607714443264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138607714443264:
213 × 3 × 112 × 31 × 61 × 1572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 31 × 61 × 157 × 157)See below for interesting mathematical facts about the number 138607714443264 from the Numbermatics database.
Names of 138607714443264
- Cardinal: 138607714443264 can be written as One hundred thirty-eight trillion, six hundred seven billion, seven hundred fourteen million, four hundred forty-three thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.38607714443264 × 1014
Factors of 138607714443264
Divisors of 138607714443264
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 61 62 64 66 88 93 96 121 122 124 128 132 157 176 183 186 192 242 244 248 256 264 314 341 352 363 366 372 384 471 484 488 496 512 528 628 671 682 704 726 732 744 768 942 968 976 992 1023 1024 1056 1256 1342 1364 1408 1452 1464 1488 1536 1727 1884 1891 1936 1952 1984 2013 2046 2048 2112 2512 2684 2728 2816 2904 2928 2976 3072 3454 3751 3768 3782 3872 3904 3968 4026 4092 4096 4224 4867 5024 5181 5368 5456 5632 5673 5808 5856 5952 6144 6908 7381 7502 7536 7564 7744 7808 7936 8052 8184 8192 8448 9577 9734 10048 10362 10736 10912 11253 11264 11346 11616 11712 11904 12288 13816 14601 14762 15004 15072 15128 15488 15616 15872 16104 16368 16896 18997 19154 19468 20096 20724 20801 21472 21824 22143 22506 22528 22692 23232 23424 23808 24576 24649 27632 28731 29202 29524 30008 30144 30256 30976 31232 31744 32208 32736 33792 37994 38308 38936 40192 41448 41602 42944 43648 44286 45012 45056 45384 46464 46848 47616 49298 53537 55264 56991 57462 58404 59048 60016 60288 60512 61952 62403 62464 63488 64416 65472 67584 73947 75988 76616 77872 80384 82896 83204 85888 87296 88572 90024 90112 90768 92928 93696 95232 98596 105347 107074 110528 113982 114924 116808 118096 120032 120576 121024 123904 124806 124928 126976 128832 130944 135168 147894 151976 153232 155744 160611 160768 165792 166408 171776 174592 177144 180048 181536 185856 187392 190464 197192 210694 214148 221056 227964 228811 229848 233616 236192 240064 241152 242048 247808 249612 249856 253952 257664 261888 270336 271139 295788 296887 303952 306464 311488 316041 321222 321536 331584 332816 343552 349184 354288 360096 363072 371712 374784 380928 394384 421388 428296 442112 455928 457622 459696 467232 472384 480128 482304 484096 495616 499224 499712 515328 523776 542278 588907 591576 593774 607904 612928 622976 632082 642444 643072 663168 665632 686433 687104 698368 708576 720192 726144 743424 749568 761856 764119 788768 813417 842776 856592 884224 890661 911856 915244 919392 934464 944768 960256 964608 968192 991232 998448 1030656 1047552 1084556 1158817 1177814 1183152 1187548 1215808 1225856 1245952 1264164 1284888 1286144 1326336 1331264 1372866 1374208 1396736 1417152 1440384 1452288 1486848 1499136 1503589 1528238 1577536 1626834 1685552 1713184 1766721 1768448 1781322 1823712 1830488 1838784 1868928 1889536 1920512 1929216 1936384 1996896 2061312 2095104 2169112 2292357 2317634 2355628 2366304 2375096 2431616 2451712 2491904 2528328 2569776 2652672 2662528 2745732 2748416 2793472 2834304 2880768 2904576 2973696 2982529 3007178 3056476 3155072 3253668 3265757 3371104 3426368 3476451 3533442 3536896 3562644 3647424 3660976 3677568 3737856 3779072 3841024 3858432 3872768 3993792 4122624 4190208 4338224 4510767 4584714 4635268 4711256 4732608 4750192 4863232 4903424 4983808 5056656 5139552 5305344 5325056 5491464 5496832 5668608 5761536 5809152 5965058 6014356 6112952 6310144 6507336 6531514 6742208 6852736 6952902 7066884 7073792 7125288 7294848 7321952 7355136 7475712 7558144 7682048 7745536 7987584 8245248 8380416 8405309 8676448 8947587 9021534 9169428 9270536 9422512 9465216 9500384 9726464 9797271 9806848 9967616 10113312 10279104 10610688 10650112 10982928 11337216 11523072 11618304 11930116 12028712 12225904 12620288 13014672 13063028 13484416 13705472 13905804 14133768 14147584 14250576 14589696 14643904 14710272 14951424 15116288 15364096 15491072 15975168 16490496 16539479 16810618 17352896 17895174 18043068 18338856 18541072 18845024 18930432 19000768 19452928 19594542 19613696 19935232 20226624 20558208 21221376 21300224 21965856 22674432 23046144 23236608 23860232 24057424 24451808 25215927 25240576 26029344 26126056 26968832 27410944 27811608 28267536 28501152 29179392 29287808 29420544 29902848 30232576 30728192 31950336 33078958 33621236 34705792 35790348 35923327 36086136 36677712 37082144 37690048 37860864 38001536 38905856 39189084 39227392 39870464 40453248 41116416 42442752 42600448 43931712 45348864 46092288 46473216 46611259 47720464 48114848 48903616 49618437 50431854 50481152 52058688 52252112 53937664 54821888 55623216 56535072 57002304 58358784 58575616 58841088 59805696 60465152 63900672 66157916 67242472 69411584 71580696 71846654 72172272 73355424 74164288 75380096 75721728 76003072 77811712 78378168 78454784 80906496 82232832 85200896 87863424 90697728 92184576 92458399 93222518 95440928 96229696 97807232 99236874 100863708 100962304 104117376 104504224 107769981 107875328 109643776 111246432 113070144 114004608 116717568 117151232 117682176 119611392 127801344 132315832 134484944 138823168 139833777 143161392 143693308 144344544 146710848 148328576 150760192 151443456 152006144 155623424 156756336 161812992 164465664 170401792 175726848 181395456 181934269 184916798 186445036 190881856 192459392 195614464 198473748 201727416 201924608 208234752 209008448 215539962 215750656 219287552 222492864 226140288 228009216 233435136 234302464 235364352 255602688 264631664 268969888 277375197 277646336 279667554 286322784 287386616 288689088 293421696 296657152 301520384 302886912 304012288 313512672 323625984 328931328 351453696 363868538 369833596 372890072 381763712 384918784 391228928 396947496 403454832 416469504 418016896 431079924 431501312 438575104 444985728 452280576 456018432 466870272 468604928 511205376 512723849 529263328 537939776 545802807 554750394 555292672 559335108 572645568 574773232 577378176 586843392 593314304 603040768 605773824 608024576 627025344 647251968 657862656 702907392 727737076 739667192 745780144 763527424 769837568 782457856 793894992 806909664 832939008 836033792 862159848 863002624 889971456 904561152 912036864 937209856 1025447698 1058526656 1075879552 1091605614 1109500788 1110585344 1118670216 1145291136 1149546464 1154756352 1173686784 1186628608 1206081536 1216049152 1254050688 1294503936 1315725312 1405814784 1455474152 1479334384 1491560288 1527054848 1538171547 1539675136 1564915712 1587789984 1613819328 1665878016 1672067584 1724319696 1779942912 1809122304 1824073728 1874419712 2050895396 2117053312 2151759104 2183211228 2219001576 2221170688 2237340432 2290582272 2299092928 2309512704 2347373568 2373257216 2412163072 2432098304 2508101376 2589007872 2811629568 2910948304 2958668768 2983120576 3054109696 3076343094 3079350272 3129831424 3175579968 3227638656 3331756032 3344135168 3448639392 3559885824 3618244608 3648147456 4101790792 4234106624 4303518208 4366422456 4438003152 4474680864 4581164544 4598185856 4619025408 4694747136 4746514432 4824326144 5016202752 5623259136 5639962339 5821896608 5917337536 5966241152 6108219392 6152686188 6158700544 6259662848 6351159936 6455277312 6663512064 6688270336 6897278784 7119771648 7236489216 7296294912 8203581584 8468213248 8607036416 8732844912 8876006304 8949361728 9162329088 9196371712 9238050816 9389494272 9493028864 10032405504 11279924678 11643793216 11834675072 11932482304 12216438784 12305372376 12317401088 12702319872 12910554624 13376540672 13794557568 14239543296 14472978432 16407163168 16919887017 16936426496 17214072832 17465689824 17752012608 17898723456 18324658176 18392743424 18476101632 18778988544 20064811008 22559849356 23287586432 23669350144 23864964608 24432877568 24610744752 25404639744 25821109248 26753081344 27589115136 28479086592 32814326336 33839774034 33872852992 34428145664 34931379648 35504025216 35797446912 36649316352 36785486848 36952203264 40129622016 45119698712 46575172864 47338700288 47729929216 49221489504 50809279488 51642218496 55178230272 65628652672 67679548068 67745705984 68856291328 69862759296 71008050432 71594893824 73298632704 73570973696 80259244032 90239397424 93150345728 94677400576 95459858432 98442979008 101618558976 103284436992 110356460544 131257305344 135359096136 135491411968 139725518592 142016100864 143189787648 147141947392 180478794848 186300691456 189354801152 190919716864 196885958016 203237117952 206568873984 220712921088 262514610688 270718192272 279451037184 284032201728 286379575296 294283894784 360957589696 372601382912 378709602304 381839433728 393771916032 406474235904 441425842176 525029221376 541436384544 558902074368 568064403456 572759150592 721915179392 745202765824 757419204608 787543832064 882851684352 1050058442752 1082872769088 1117804148736 1136128806912 1145518301184 1443830358784 1490405531648 1575087664128 2100116885504 2165745538176 2235608297472 2272257613824 2887660717568 3150175328256 4200233771008 4331491076352 4471216594944 5775321435136 6300350656512 8662982152704 11550642870272 12600701313024 17325964305408 23101285740544 34651928610816 46202571481088 69303857221632 138607714443264
- Sum of all divisors σ(n): 428964130038528
- Sum of proper divisors (its aliquot sum) s(n): 290356415595264
- 138607714443264 is an abundant number, because the sum of its proper divisors (290356415595264) is greater than itself. Its abundance is 151748701152000
Bases of 138607714443264
- Binary: 111111000010000000111111001010100100000000000002
- Hexadecimal: 0x7E101F952000
- Base-36: 1D4RI6FMYO
Squares and roots of 138607714443264
- 138607714443264 squared (1386077144432642) is 19212098503185415673474973696
- 138607714443264 cubed (1386077144432643) is 2662945063185383815556116633299901684383744
-
The
square root of 138607714443264 is 11773177.7546788105 -
The
cube root of 138607714443264 is 51752.2378480421
Scales and comparisons
How big is 138607714443264?- 138,607,714,443,264 seconds is equal to 4,407,296 years, 30 weeks, 4 hours, 54 minutes, 24 seconds.
-
To count from 1 to 138,607,714,443,264 would take you about eleven million, eighteen thousand, two hundred forty-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 138607714443264 cubic inches would be around 4312.7 feet tall.
Recreational maths with 138607714443264
- 138607714443264 backwards is 462344417706831
- The number of decimal digits it has is: 15
- The sum of 138607714443264's digits is 60
- 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 138607714443264 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 138607714443264 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138607714443264/
Chicago style:
Numbermatics. 2024. "Number 138607714443264 - Facts about the integer". https://numbermatics.com/n/138607714443264/
The information we have on file for 138607714443264 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 138607714443264, math, Factors of 138607714443264, curriculum, school, college, exams, university, Prime factorization of 138607714443264, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, six hundred seven billion, seven hundred fourteen million, four hundred forty-three thousand, two hundred sixty-four.