138151436623513920
138,151,436,623,513,920 is an even composite number composed of five prime numbers multiplied together.
138151436623513920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred fifty-six divisors.
Prime factorization of 138151436623513920:
26 × 312 × 5 × 113 × 1933
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 113 × 193 × 193 × 193)See below for interesting mathematical facts about the number 138151436623513920 from the Numbermatics database.
Names of 138151436623513920
- Cardinal: 138151436623513920 can be written as One hundred thirty-eight quadrillion, one hundred fifty-one trillion, four hundred thirty-six billion, six hundred twenty-three million, five hundred thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3815143662351392 × 1017
Factors of 138151436623513920
Divisors of 138151436623513920
- Number of divisors d(n): 1456
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 113 120 135 144 160 162 180 192 193 216 226 240 243 270 288 320 324 339 360 386 405 432 452 480 486 540 565 576 579 648 678 720 729 772 810 864 904 960 965 972 1017 1080 1130 1158 1215 1296 1356 1440 1458 1544 1620 1695 1728 1737 1808 1930 1944 2034 2160 2187 2260 2316 2430 2592 2712 2880 2895 2916 3051 3088 3240 3390 3474 3616 3645 3860 3888 4068 4320 4374 4520 4632 4860 5085 5184 5211 5424 5790 5832 6102 6176 6480 6561 6780 6948 7232 7290 7720 7776 8136 8640 8685 8748 9040 9153 9264 9720 10170 10422 10848 10935 11580 11664 12204 12352 12960 13122 13560 13896 14580 15255 15440 15552 15633 16272 17370 17496 18080 18306 18528 19440 19683 20340 20844 21696 21809 21870 23160 23328 24408 25920 26055 26244 27120 27459 27792 29160 30510 30880 31266 32544 32805 34740 34992 36160 36612 37056 37249 38880 39366 40680 41688 43618 43740 45765 46320 46656 46899 48816 52110 52488 54240 54918 55584 58320 59049 61020 61760 62532 65088 65427 65610 69480 69984 73224 74498 77760 78165 78732 81360 82377 83376 87236 87480 91530 92640 93798 97632 98415 104220 104976 108480 109045 109836 111168 111747 116640 118098 122040 125064 130854 131220 137295 138960 139968 140697 146448 148996 156330 157464 162720 164754 166752 174472 174960 177147 183060 185280 186245 187596 195264 196281 196830 208440 209952 218090 219672 223494 233280 234495 236196 244080 247131 250128 261708 262440 274590 277920 281394 292896 295245 297992 312660 314928 325440 327135 329508 333504 335241 348944 349920 354294 366120 372490 375192 392562 393660 411885 416880 419904 422091 436180 439344 446988 468990 472392 488160 494262 500256 523416 524880 531441 549180 555840 558735 562788 585792 588843 590490 595984 625320 629856 654270 659016 670482 697888 699840 703485 708588 732240 741393 744980 750384 785124 787320 823770 833760 844182 872360 878688 885735 893976 937980 944784 976320 981405 988524 1000512 1005723 1046832 1049760 1062882 1098360 1117470 1125576 1177686 1180980 1191968 1235655 1250640 1259712 1266273 1308540 1318032 1340964 1395776 1406970 1417176 1464480 1482786 1489960 1500768 1570248 1574640 1647540 1667520 1676205 1688364 1744720 1757376 1766529 1771470 1787952 1875960 1889568 1962810 1977048 2011446 2093664 2099520 2110455 2125764 2196720 2224179 2234940 2251152 2355372 2361960 2383936 2471310 2501280 2532546 2617080 2636064 2657205 2681928 2813940 2834352 2928960 2944215 2965572 2979920 3001536 3017169 3140496 3149280 3295080 3352410 3376728 3489440 3533058 3542940 3575904 3706965 3751920 3779136 3798819 3925620 3954096 4022892 4187328 4209137 4220910 4251528 4393440 4448358 4469880 4502304 4710744 4723920 4942620 5002560 5028615 5065092 5234160 5272128 5299587 5314410 5363856 5627880 5668704 5888430 5931144 5959840 6034338 6280992 6298560 6331365 6590160 6672537 6704820 6753456 6978880 7066116 7085880 7151808 7189057 7413930 7503840 7597638 7851240 7908192 8045784 8418274 8441820 8503056 8786880 8832645 8896716 8939760 9004608 9051507 9421488 9447840 9885240 10057230 10130184 10468320 10599174 10628820 10727712 11120895 11255760 11337408 11396457 11776860 11862288 11919680 12068676 12561984 12627411 12662730 13180320 13345074 13409640 13506912 14132232 14171760 14378114 14827860 15007680 15085845 15195276 15702480 15816384 15898761 16091568 16836548 16883640 17006112 17665290 17793432 17879520 18103014 18842976 18895680 18994095 19770480 20017611 20114460 20260368 20936640 21045685 21198348 21257640 21455424 21567171 22241790 22511520 22792914 23553720 23724576 24137352 25254822 25325460 26360640 26497935 26690148 26819280 27013824 27154521 28264464 28343520 28756228 29655720 30171690 30390552 31404960 31797522 32183136 33362685 33673096 33767280 34012224 34189371 35330580 35586864 35759040 35945285 36206028 37685952 37882233 37988190 39540960 40035222 40228920 40520736 42091370 42396696 42515280 43134342 44483580 45023040 45257535 45585828 47107440 47449152 47696283 48274704 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5302300388544 5329916536401 5660088357240 5922129484890 5965087937112 6316938117216 6334606658880 6367599401895 6627875485680 6792106028688 7018820130240 7106555381868 7456359921390 7546784476320 7641119282274 7896172646520 7953450582816 8490132535860 8837167314240 8883194227335 8947631905668 9056141371584 9475407175824 9941813228520 10188159043032 10528230195360 10659833072802 11184539882085 11320176714480 11844258969780 11930175874224 12633876234432 12735198803790 13255750971360 13584212057376 14213110763736 14912719842780 15093568952640 15282238564548 15792345293040 15906901165632 15989749609203 16980265071720 17766388454670 17895263811336 18950814351648 19102798205685 19883626457040 20376318086064 21056460390720 21319666145604 22369079764170 22640353428960 23688517939560 23860351748448 25470397607580 26511501942720 26649582682005 27168424114752 28426221527472 29825439685560 30564477129096 31584690586080 31979499218406 33960530143440 35532776909340 35790527622672 37901628703296 38205596411370 39767252914080 40752636172128 42639332291208 44738159528340 45280706857920 47377035879120 47720703496896 47969248827609 50940795215160 53299165364010 56852443054944 59650879371120 61128954258192 63169381172160 63958998436812 67921060286880 71065553818680 71581055245344 76411192822740 79534505828160 79948748046015 81505272344256 85278664582416 89476319056680 94754071758240 95938497655218 101881590430320 106598330728020 113704886109888 119301758742240 122257908516384 127917996873624 135842120573760 142131107637360 143162110490688 143907746482827 152822385645480 159897496092030 170557329164832 178952638113360 189508143516480 191876995310436 203763180860640 213196661456040 238603517484480 239846244138045 244515817032768 255835993747248 284262215274720 287815492965654 305644771290960 319794992184060 341114658329664 357905276226720 383753990620872 407526361721280 426393322912080 431723239448481 479692488276090 511671987494496 568524430549440 575630985931308 611289542581920 639589984368120 715810552453440 719538732414135 767507981241744 852786645824160 863446478896962 959384976552180 1023343974988992 1151261971862616 1222579085163840 1279179968736240 1439077464828270 1535015962483488 1705573291648320 1726892957793924 1918769953104360 2158616197242405 2302523943725232 2558359937472480 2878154929656540 3070031924966976 3453785915587848 3837539906208720 4317232394484810 4605047887450464 5116719874944960 5756309859313080 6907571831175696 7675079812417440 8634464788969620 9210095774900928 11512619718626160 13815143662351392 15350159624834880 17268929577939240 23025239437252320 27630287324702784 34537859155878480 46050478874504640 69075718311756960 138151436623513920
- Sum of all divisors σ(n): 500419094801922000
- Sum of proper divisors (its aliquot sum) s(n): 362267658178408080
- 138151436623513920 is an abundant number, because the sum of its proper divisors (362267658178408080) is greater than itself. Its abundance is 224116221554894160
Bases of 138151436623513920
- Binary: 1111010101100111111111111111010010010011110001001010000002
- Hexadecimal: 0x1EACFFFE9278940
- Base-36: 11SALHTT9000
Squares and roots of 138151436623513920
- 138151436623513920 squared (1381514366235139202) is 19085819441140783216747848433766400
- 138151436623513920 cubed (1381514366235139203) is 2636733374930590775716313526379839677053948428288000
-
The
square root of 138151436623513920 is 371687283.3761116449 -
The
cube root of 138151436623513920 is 516953.8830317051
Scales and comparisons
How big is 138151436623513920?- 138,151,436,623,513,920 seconds is equal to 4,392,788,354 years, 9 weeks, 1 day, 7 hours, 12 minutes.
-
To count from 1 to 138,151,436,623,513,920 would take you about thirteen billion, one hundred seventy-eight million, three hundred sixty-five thousand and sixty-two 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 138151436623513920 cubic inches would be around 43079.5 feet tall.
Recreational maths with 138151436623513920
- 138151436623513920 backwards is 029315326634151831
- The number of decimal digits it has is: 18
- The sum of 138151436623513920's digits is 63
- More coming soon!
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"Number 138151436623513920 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138151436623513920 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138151436623513920/
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The information we have on file for 138151436623513920 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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