138135270815520
138,135,270,815,520 is an even composite number composed of nine prime numbers multiplied together.
138135270815520 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138135270815520:
25 × 3 × 5 × 11 × 31 × 41 × 61 × 127 × 2657
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 31 × 41 × 61 × 127 × 2657)See below for interesting mathematical facts about the number 138135270815520 from the Numbermatics database.
Names of 138135270815520
- Cardinal: 138135270815520 can be written as One hundred thirty-eight trillion, one hundred thirty-five billion, two hundred seventy million, eight hundred fifteen thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3813527081552 × 1014
Factors of 138135270815520
Divisors of 138135270815520
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 31 32 33 40 41 44 48 55 60 61 62 66 80 82 88 93 96 110 120 122 123 124 127 132 155 160 164 165 176 183 186 205 220 240 244 246 248 254 264 305 310 328 330 341 352 366 372 381 410 440 451 465 480 488 492 496 508 528 610 615 620 635 656 660 671 682 732 744 762 820 880 902 915 930 976 984 992 1016 1023 1056 1220 1230 1240 1270 1271 1312 1320 1342 1353 1364 1397 1464 1488 1524 1640 1705 1760 1804 1830 1860 1891 1905 1952 1968 2013 2032 2046 2255 2440 2460 2480 2501 2540 2542 2640 2657 2684 2706 2728 2794 2928 2976 3048 3280 3355 3410 3608 3660 3720 3782 3810 3813 3936 3937 4026 4064 4092 4191 4510 4880 4920 4960 5002 5080 5084 5115 5207 5280 5314 5368 5412 5456 5588 5673 5856 6096 6355 6560 6710 6765 6820 6985 7216 7320 7440 7503 7564 7620 7626 7747 7874 7971 8052 8184 8382 9020 9455 9760 9840 10004 10065 10160 10168 10230 10414 10628 10736 10824 10912 11176 11346 11811 12192 12505 12710 13285 13420 13530 13640 13970 13981 14432 14640 14880 15006 15128 15240 15252 15494 15621 15748 15942 16104 16368 16764 18040 18910 19065 19680 19685 20008 20130 20320 20336 20460 20801 20828 20955 21256 21472 21648 22352 22692 23241 23622 25010 25420 26035 26570 26840 27060 27280 27511 27940 27962 28365 29227 29280 30012 30256 30480 30504 30988 31242 31496 31884 32208 32736 33528 36080 37515 37820 38130 38735 39370 39855 40016 40260 40672 40920 41602 41656 41910 41943 42512 43296 43307 44704 45384 46482 47244 50020 50840 52070 53140 53680 54120 54560 55022 55880 55924 56730 57277 58454 59055 60024 60512 60960 61008 61976 62403 62484 62992 63768 64416 67056 69905 72160 75030 75640 76260 77470 77531 78105 78740 79710 80032 80520 81840 82367 82533 83204 83312 83820 83886 85024 85217 86614 87681 90768 92964 94488 100040 101680 104005 104140 106280 107360 108240 108937 110044 111760 111848 113460 114554 116205 116908 118110 120048 122016 123952 124806 124968 125984 127536 129921 134112 137555 139810 146135 150060 151280 152520 154940 155062 156210 157480 159420 161040 161417 162077 163680 164734 165066 166408 166624 167640 167772 170434 171831 173228 175362 181536 185928 188976 200080 203360 208010 208280 209715 212560 216480 216535 217874 220088 223520 223696 226920 229108 232410 232593 233816 236220 240096 240157 247101 247904 249612 249936 255072 255651 259842 275110 279620 286385 292270 300120 302560 305040 309880 310124 312015 312420 314960 317627 318840 322080 322834 324154 326811 329468 330132 332816 335280 335544 337439 340868 343662 346456 350724 371856 377952 387655 400160 411835 412665 416020 416560 419430 425120 426085 433070 435748 438405 440176 447392 453840 458216 464820 465186 467632 472440 480314 484251 486231 494202 499224 499872 511302 519684 544685 550220 559240 572770 584540 600240 610080 619760 620248 624030 624840 629920 635254 637680 645668 648308 649605 653622 658936 660264 665632 670560 671088 674878 681736 687324 692912 701448 720471 743712 775310 807085 810385 823670 825330 832040 833120 838860 852170 852841 859155 866140 871496 876810 880352 906037 907680 916432 929640 930372 935264 944880 952881 960628 968502 972462 988404 998448 1012317 1022604 1039368 1089370 1100440 1118480 1145540 1162965 1169080 1198307 1200480 1200785 1235505 1239520 1240496 1248060 1249680 1270508 1275360 1278255 1291336 1296616 1299210 1307244 1317872 1320528 1342176 1349756 1363472 1374648 1385824 1402896 1440942 1550620 1588135 1614170 1620770 1634055 1647340 1650660 1664080 1677720 1687195 1704340 1705682 1718310 1732280 1742992 1753620 1775587 1782847 1812074 1832864 1859280 1860744 1889760 1905762 1921256 1937004 1944924 1976808 1996896 2024634 2045208 2078736 2178740 2200880 2236960 2291080 2325930 2338160 2396614 2401570 2421255 2431155 2471010 2480992 2496120 2499360 2541016 2556510 2558523 2582672 2593232 2598420 2614488 2635744 2641056 2641727 2699512 2718111 2726944 2749296 2805792 2881884 3101240 3176270 3228340 3241540 3268110 3294680 3301320 3328160 3355440 3374390 3377047 3408680 3411364 3436620 3464560 3485984 3493897 3507240 3551174 3565694 3594921 3602355 3624148 3711829 3718560 3721488 3811524 3842512 3874008 3889848 3953616 4049268 4090416 4157472 4264205 4357480 4401760 4530185 4582160 4651860 4676320 4764405 4793228 4803140 4842510 4862310 4942020 4992240 5024387 5061585 5082032 5113020 5117046 5165344 5186464 5196840 5228976 5283454 5326761 5348541 5399024 5436222 5498592 5763768 5991535 6202480 6352540 6456680 6483080 6536220 6589360 6602640 6645157 6710880 6748780 6754094 6817360 6822728 6873240 6929120 6987794 7014480 7102348 7131388 7189842 7204710 7248296 7423658 7442976 7623048 7685024 7748016 7779696 7907232 7925181 8098536 8180832 8528410 8714960 8877935 8914235 9060370 9164320 9303720 9528810 9586456 9606280 9685020 9724620 9846437 9884040 9984480 10048774 10123170 10131141 10164064 10226040 10234092 10393680 10457952 10460609 10481691 10566908 10653522 10697082 10798048 10872444 11135487 11527536 11983070 12404960 12705080 12792615 12913360 12966160 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40524564 40904160 40936368 41167558 41504997 41842436 41926764 42267632 42614088 42788328 43489776 44541948 47932280 49232185 50243870 50655705 50820320 51170460 52289760 52303045 52408455 52834540 53161256 53267610 53485410 53990240 54032752 54362220 55268257 55339996 55677435 55902352 56818784 57051104 57518736 57637680 59078622 59389264 60292644 61751337 62763654 63401448 66451570 67540940 68227280 69174995 69877940 71023480 71313880 71898420 72482960 73096727 74236580 74295034 75365805 76230480 77480160 77796960 78771496 79251810 79741884 80390192 80985360 81049128 81872736 82335116 83009994 83684872 83853528 84535264 85228176 85576656 86979552 89083896 95864560 98464370 99677355 100487740 101311410 102340920 102918895 104606090 104816910 105669080 106322512 106535220 106970820 108065504 108310807 108724440 110536514 110679992 111354870 111442551 111804704 115037472 115066699 115275360 118157244 118778528 120585288 123502674 125527308 126802896 132903140 135081880 136454560 138349990 139755880 142046960 142627760 143796840 144965920 146193454 147696555 148473160 148590068 150731610 152184989 152460960 156909135 157542992 158503620 159483768 160780384 161970720 162098256 164670232 165804771 166019988 167369744 167707056 170456352 171153312 178167792 185737585 191729120 196928740 199354710 200975480 202622820 204681840 205837790 205999867 207524985 209212180 209633820 211338160 212645024 213070440 213941640 216621614 217448880 219290181 221073028 221359984 222709740 222885102 226421569 230133398 236314488 241170576 247005348 251054616 253605792 265806280 270163760 276341285 276699980 279511760 284093920 285255520 287593680 292386908 295393110 296946320 297180136 301463220 304369978 308756685 313818270 315085984 317007240 318967536 324196512 324932421 329340464 331609542 332039976 334739488 335414112 345200097 356335584 365483635 371475170 393857480 398709420 401950960 405245640 409363680 411675580 411999734 415049970 418424360 419267640 422676320 426140880 427883280 428884969 433243228 434897760 438580362 442146056 442719968 445419480 445770204 452843138 456554967 460266796 472628976 482341152 494010696 502109232 531612560 540327520 541554035 552682570 553399960 557212755 559023520 575187360 575333495 584773816 590786220 593892640 594360272 602926440 608739956 617513370 617999601 627636540 634014480 637935072 638097149 649864842 658680928 663219084 664079952 679264707 690400194 730967270 742950340 760924945 787714960 797418840 803901920 810491280 823351160 823999468 829023855 830099940 836848720 838535280 843934939 852281760 855766560 857769938 866486456 877160724 884292112 890838960 891540408 905686276 913109934 920533592 945257952 988021392 1004218464 1029999335 1063225120 1083108070 1096450905 1105365140 1106799920 1114425510 1132107845 1150666990 1169547632 1181572440 1188720544 1205852880 1217479912 1235026740 1235999202 1255273080 1268028960 1276194298 1286654907 1299729684 1326438168 1328159904 1358529414 1380800388 1461934540 1485900680 1521849890 1575429920 1594837680 1620982560 1624662105 1646702320 1647998936 1658047710 1660199880 1673697440 1677070560 1687869878 1715539876 1726000485 1732972912 1754321448 1768584224 1781677920 1783080816 1811372552 1826219868 1841067184 1914291447 1976042784 2059998670 2144424845 2166216140 2192901810 2210730280 2213599840 2228851020 2264215690 2265998537 2282774835 2301333980 2339095264 2363144880 2411705760 2434959824 2470053480 2471998404 2510546160 2531804817 2552388596 2573309814 2599459368 2652876336 2717058828 2761600776 2923869080 2971801360 3043699780 3089998005 3189675360 3190485745 3249324210 3293404640 3295997872 3316095420 3320399760 3375739756 3396323535 3431079752 3452000970 3465945824 3508642896 3566161632 3622745104 3652439736 3682134368 3828582894 4119997340 4219674695 4288849690 4332432280 4385803620 4421460560 4457702040 4528431380 4531997074 4565549670 4602667960 4717734659 4726289760 4869919648 4940106960 4943996808 5021092320 5063609634 5104777192 5146619628 5198918736 5305752672 5434117656 5523201552 5847738160 5943602720 6087399560 6179996010 6380971490 6433274535 6498648420 6591995744 6632190840 6640799520 6751479512 6792647070 6797995611 6862159504 6904001940 7017285792 7019068639 7245490208 7304879472 7657165788 8239994680 8439349390 8577699380 8664864560 8771607240 8842921120 8915404080 9056862760 9063994148 9131099340 9205335920 9283284329 9435469318 9571457235 9880213920 9887993616 10127219268 10209554384 10293239256 10397837472 10868235312 11046403104 11329992685 11695476320 12174799120 12359992020 12659024085 12761942980 12866549070 12997296840 13264381680 13502959024 13585294140 13595991222 13724319008 13808003880 14038137278 14153203977 14609758944 15314331576 16479989360 16878698780 17155398760 17329729120 17543214480 17830808160 18113725520 18127988296 18262198680 18410671840 18566568658 18870938636 19142914470 19775987232 20254438536 20419108768 20586478512 21057205917 21736470624 22659985370 23588673295 24349598240 24719984040 25318048170 25523885960 25733098140 25994593680 26161983109 26528763360 27005918048 27170588280 27191982444 27616007760 27849852987 28076274556 28306407954 30628663152 32959978720 33757397560 33989978055 34310797520 35086428960 35095343195 36227451040 36255976592 36524397360 37133137316 37741877272 38285828940 40508877072 41172957024 42114411834 45319970740 46416421645 47177346590 49439968080 50636096340 51047771920 51466196280 51989187360 52323966218 54341176560 54383964888 55232015520 55699705974 56152549112 56612815908 61257326304 67514795120 67979956110 68621595040 70190686390 70766019885 72511953184 73048794720 74266274632 75483754544 76571657880 78485949327 81017754144 84228823668 90639941480 92832843290 94354693180 98879936160 101272192680 102095543840 102932392560 104647932436 105286029585 108682353120 108767929776 111399411948 112305098224 113225631816 130809915545 135029590240 135959912220 139249264935 140381372780 141532039770 148532549264 150967509088 153143315760 156971898654 168457647336 181279882960 185665686580 188709386360 202544385360 205864785120 209295864872 210572059170 217535859552 222798823896 224610196448 226451263632 261619831090 271919824440 278498529870 280762745560 283064079540 287781814199 297065098528 306286631520 313943797308 336915294672 362559765920 371331373160 377418772720 392429746635 405088770720 418591729744 421144118340 445597647792 452902527264 523239662180 543839648880 556997059740 561525491120 566128159080 575563628398 627887594616 673830589344 742662746320 754837545440 784859493270 837183459488 842288236680 863345442597 891195295584 1046479324360 1087679297760 1113994119480 1123050982240 1132256318160 1151127256796 1255775189232 1438909070995 1485325492640 1569718986540 1684576473360 1726690885194 2092958648720 2227988238960 2264512636320 2302254513592 2511550378464 2877818141990 3139437973080 3369152946720 3453381770388 4185917297440 4316727212985 4455976477920 4604509027184 5755636283980 6278875946160 6906763540776 8633454425970 9209018054368 11511272567960 12557751892320 13813527081552 17266908851940 23022545135920 27627054163104 34533817703880 46045090271840 69067635407760 138135270815520
- Sum of all divisors σ(n): 514385765203968
- Sum of proper divisors (its aliquot sum) s(n): 376250494388448
- 138135270815520 is an abundant number, because the sum of its proper divisors (376250494388448) is greater than itself. Its abundance is 238115223572928
Bases of 138135270815520
- Binary: 111110110100010000111111011111101110111001000002
- Hexadecimal: 0x7DA21FBF7720
- Base-36: 1CYQGTP2QO
Squares and roots of 138135270815520
- 138135270815520 squared (1381352708155202) is 19081353043277051445872870400
- 138135270815520 cubed (1381352708155203) is 2635807870159622220132840333517251268608000
-
The
square root of 138135270815520 is 11753096.2225074971 -
The
cube root of 138135270815520 is 51693.3718436955
Scales and comparisons
How big is 138135270815520?- 138,135,270,815,520 seconds is equal to 4,392,274 years, 17 weeks, 1 day, 15 hours, 52 minutes.
-
To count from 1 to 138,135,270,815,520 would take you about ten million, nine hundred eighty thousand, six 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 138135270815520 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138135270815520
- 138135270815520 backwards is 025518072531831
- The number of decimal digits it has is: 15
- The sum of 138135270815520's digits is 51
- More coming soon!
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"Number 138135270815520 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 138135270815520 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138135270815520/
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Numbermatics. 2024. "Number 138135270815520 - Facts about the integer". https://numbermatics.com/n/138135270815520/
The information we have on file for 138135270815520 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!
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