138465938579358208
138,465,938,579,358,208 is an even composite number composed of five prime numbers multiplied together.
138465938579358208 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 138465938579358208:
29 × 72 × 136 × 41 × 1672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 13 × 13 × 13 × 13 × 41 × 167 × 167)See below for interesting mathematical facts about the number 138465938579358208 from the Numbermatics database.
Names of 138465938579358208
- Cardinal: 138465938579358208 can be written as One hundred thirty-eight quadrillion, four hundred sixty-five trillion, nine hundred thirty-eight billion, five hundred seventy-nine million, three hundred fifty-eight thousand, two hundred eight.
Scientific notation
- Scientific notation: 1.38465938579358208 × 1017
Factors of 138465938579358208
Divisors of 138465938579358208
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 41 49 52 56 64 82 91 98 104 112 128 164 167 169 182 196 208 224 256 287 328 334 338 364 392 416 448 512 533 574 637 656 668 676 728 784 832 896 1066 1148 1169 1183 1274 1312 1336 1352 1456 1568 1664 1792 2009 2132 2171 2197 2296 2338 2366 2548 2624 2672 2704 2912 3136 3328 3584 3731 4018 4264 4342 4394 4592 4676 4732 5096 5248 5344 5408 5824 6272 6656 6847 6929 7462 8036 8183 8281 8528 8684 8788 9184 9352 9464 10192 10496 10688 10816 11648 12544 13694 13858 14924 15197 15379 16072 16366 16562 17056 17368 17576 18368 18704 18928 20384 20992 21376 21632 23296 25088 26117 27388 27716 27889 28223 28561 29848 30394 30758 32144 32732 33124 34112 34736 35152 36736 37408 37856 40768 42752 43264 46592 47929 48503 52234 54776 55432 55778 56446 57122 59696 60788 61516 64288 65464 66248 68224 69472 70304 73472 74816 75712 81536 85504 86528 89011 90077 95858 97006 104468 106379 107653 109552 110864 111556 112892 114244 119392 121576 123032 128576 130928 132496 136448 138944 140608 146944 149632 151424 163072 178022 180154 191716 194012 195223 197561 199927 208936 212758 215306 219104 221728 223112 225784 228488 238784 243152 246064 257152 261856 264992 272896 277888 281216 299264 302848 326144 335503 339521 356044 360308 362557 366899 371293 383432 388024 390446 395122 399854 417872 425516 430612 438208 443456 446224 451568 456976 477568 486304 492128 514304 523712 529984 555776 562432 598528 605696 623077 630539 671006 679042 712088 720616 725114 733798 742586 766864 776048 780892 790244 799708 835744 851032 861224 876416 886912 892448 903136 913952 955136 972608 984256 1028608 1047424 1059968 1111552 1124864 1143449 1157143 1171001 1246154 1261078 1342012 1358084 1366561 1382927 1399489 1424176 1441232 1450228 1467596 1485172 1533728 1552096 1561784 1580488 1599416 1671488 1702064 1722448 1752832 1773824 1784896 1806272 1827904 1910272 1945216 1968512 2094848 2119936 2286898 2314286 2342002 2492308 2522156 2537899 2568293 2599051 2684024 2716168 2733122 2765854 2798978 2848352 2882464 2900456 2935192 2970344 3067456 3104192 3123568 3160976 3198832 3342976 3404128 3444896 3505664 3547648 3569792 3612544 3655808 3890432 3937024 4189696 4239872 4361539 4413773 4573796 4628572 4684004 4713241 4769687 4826809 4984616 5044312 5075798 5136586 5198102 5368048 5432336 5466244 5531708 5597956 5696704 5764928 5800912 5870384 5940688 6134912 6208384 6247136 6321952 6397664 6685952 6808256 6889792 7139584 7225088 7311616 7780864 7874048 8004143 8100001 8197007 8723078 8827546 9147592 9257144 9368008 9426482 9539374 9653618 9969232 10088624 10151596 10273172 10396204 10736096 10864672 10932488 11063416 11195912 11393408 11529856 11601824 11740768 11881376 12269824 12416768 12494272 12643904 12795328 13371904 13616512 13779584 14279168 14450176 14623232 14864837 15042859 15223013 16008286 16200002 16394014 17446156 17655092 17765293 17978051 18193357 18295184 18514288 18736016 18852964 19078748 19307236 19938464 20177248 20303192 20546344 20792408 21472192 21729344 21864976 22126832 22391824 22786816 23059712 23203648 23481536 23762752 24539648 24833536 24988544 25287808 25590656 27233024 27559168 29729674 30085718 30446026 32016572 32400004 32788028 32992687 33387809 33787663 34892312 35310184 35530586 35956102 36386714 36590368 37028576 37472032 37705928 38157496 38614472 39876928 40354496 40606384 41092688 41584816 42944384 43458688 43729952 44253664 44783648 45573632 46119424 46407296 46963072 47525504 49977088 50575616 51181312 54466048 55118336 56029001 56700007 57379049 59459348 60171436 60892052 61272133 62005931 64033144 64800008 65576056 65985374 66775618 67575326 69784624 70620368 71061172 71912204 72773428 73180736 74057152 74944064 75411856 76314992 77228944 79753856 80708992 81212768 82185376 83169632 85888768 86917376 87459904 88507328 89567296 92814592 93926144 95051008 99954176 101151232 102362624 104053859 105300013 106561091 112058002 113400014 114758098 118918696 120342872 121784104 122544266 124011862 128066288 129600016 131152112 131970748 133551236 135150652 139569248 141240736 142122344 143824408 145546856 146361472 148114304 149888128 150823712 152629984 154457888 159507712 161417984 162425536 164370752 166339264 171777536 173834752 174919808 177014656 179134592 185629184 187852288 190102016 193242881 195557167 197899169 208107718 210600026 213122182 224116004 226800028 229516196 230948809 233714663 236513641 237837392 240685744 243568208 245088532 248023724 256132576 259200032 262304224 263941496 267102472 270301304 279138496 282481472 284244688 287648816 291093712 292722944 296228608 299776256 301647424 305259968 308915776 319015424 322835968 324851072 328741504 332678528 349839616 354029312 358269184 386485762 391114334 395798338 416215436 421200052 426244364 428904931 434041517 448232008 453600056 459032392 461897618 467429326 473027282 475674784 481371488 487136416 490177064 496047448 512265152 518400064 524608448 527882992 534204944 540602608 558276992 564962944 568489376 575297632 582187424 585445888 592457216 599552512 603294848 610519936 617831552 649702144 657483008 665357056 699679232 708058624 716538368 728377013 737100091 745927637 772971524 782228668 791596676 796537729 806077103 832430872 842400104 852488728 857809862 868083034 896464016 907200112 918064784 923795236 934858652 946054564 951349568 962742976 974272832 980354128 992094896 1024530304 1036800128 1049216896 1055765984 1068409888 1081205216 1116553984 1129925888 1136978752 1150595264 1164374848 1206589696 1221039872 1235663104 1299404288 1314966016 1330714112 1352700167 1368900169 1385294183 1456754026 1474200182 1491855274 1545943048 1564457336 1583193352 1593075458 1612154206 1664861744 1684800208 1704977456 1715619724 1736166068 1792928032 1814400224 1836129568 1847590472 1869717304 1892109128 1902699136 1925485952 1948545664 1960708256 1984189792 2049060608 2073600256 2098433792 2111531968 2136819776 2162410432 2233107968 2259851776 2273957504 2301190528 2328749696 2413179392 2442079744 2471326208 2512157453 2542243171 2705400334 2737800338 2770588366 2913508052 2948400364 2983710548 3002334517 3038290619 3091886096 3128914672 3166386704 3186150916 3224308412 3329723488 3369600416 3409954912 3431239448 3472332136 3585856064 3628800448 3672259136 3695180944 3739434608 3784218256 3805398272 3850971904 3897091328 3921416512 3968379584 4098121216 4147200512 4196867584 4223063936 4273639552 4324820864 4547915008 4602381056 4657499392 5024314906 5084486342 5410800668 5475600676 5541176732 5575764103 5642539721 5827016104 5896800728 5967421096 6004669034 6076581238 6183772192 6257829344 6332773408 6372301832 6448616824 6659446976 6739200832 6819909824 6862478896 6944664272 7171712128 7257600896 7344518272 7390361888 7478869216 7568436512 7610796544 7701943808 7794182656 7842833024 7936759168 8446127872 8547279104 8649641728 9095830016 9204762112 9314998784 9468901169 9582301183 9697059281 10048629812 10168972684 10354990477 10821601336 10951201352 11082353464 11151528206 11285079442 11654032208 11793601456 11934842192 12009338068 12153162476 12367544384 12515658688 12665546816 12744603664 12897233648 13318893952 13478401664 13639819648 13724957792 13889328544 14343424256 14515201792 14689036544 14780723776 14957738432 15136873024 15685666048 15873518336 16892255744 17094558208 17299283456 17585102171 17795702197 18937802338 19164602366 19394118562 20097259624 20337945368 20709980954 21643202672 21902402704 22164706928 22303056412 22570158884 23308064416 23587202912 23869684384 24018676136 24306324952 24735088768 25031317376 25331093632 25489207328 25794467296 26637787904 26956803328 27279639296 27449915584 27778657088 28686848512 29030403584 29378073088 29561447552 29915476864 30273746048 31371332096 31747036672 32658046889 33049161223 35170204342 35591404394 37875604676 38329204732 38788237124 39030348721 39497778047 40194519248 40675890736 41419961908 43286405344 43804805408 44329413856 44606112824 45140317768 46616128832 47174405824 47739368768 48037352272 48612649904 49470177536 50062634752 50662187264 50978414656 51588934592 53275575808 53913606656 54559278592 54899831168 55557314176 59122895104 59830953728 60547492096 65316093778 66098322446 70340408684 71182808788 72484933339 75751209352 76658409464 77576474248 78060697442 78995556094 80389038496 81351781472 82839923816 86572810688 87609610816 88658827712 89212225648 90280635536 93232257664 94348811648 95478737536 96074704544 97225299808 98940355072 100125269504 101324374528 101956829312 103177869184 109799662336 111114628352 118245790208 119661907456 121094984192 123095715197 124569915379 130632187556 132196644892 134614876201 140680817368 142365617576 144969866678 151502418704 153316818928 155152948496 156121394884 157991112188 160778076992 162703562944 165679847632 173145621376 175219221632 177317655424 178424451296 180561271072 186464515328 188697623296 190957475072 192149409088 194450599616 203913658624 206355738368 219599324672 222229256704 228606328223 231344128561 246191430394 249139830758 261264375112 264393289784 269229752402 281361634736 284731235152 289939733356 303004837408 306633637856 310305896992 312242789768 315982224376 321556153984 325407125888 331359695264 346291242752 350438443264 354635310848 356848902592 361122542144 372929030656 377395246592 381914950144 384298818176 388901199232 407827317248 412711476736 424554609557 457212656446 462688257122 492382860788 498279661516 507394533373 522528750224 528786579568 538459504804 562723269472 569462470304 579879466712 606009674816 613267275712 620611793984 624485579536 631964448752 643112307968 650814251776 662719390528 692582485504 700876886528 709270621696 713697805184 722245084288 768597636352 777802398464 849109219114 914425312892 925376514244 942304133407 984765721576 996559323032 1014789066746 1045057500448 1057573159136 1076919009608 1125446538944 1138924940608 1159758933424 1212019349632 1226534551424 1241223587968 1248971159072 1263928897504 1286224615936 1301628503552 1325438781056 1427395610368 1444490168576 1537195272704 1555604796928 1600244297561 1619408899927 1698218438228 1828850625784 1850753028488 1884608266814 1969531443152 1993118646064 2029578133492 2090115000896 2115146318272 2153838019216 2250893077888 2277849881216 2319517866848 2424038699264 2453069102848 2482447175936 2497942318144 2527857795008 2650877562112 2854791220736 2888980337152 2971882266899 3200488595122 3238817799854 3396436876456 3657701251568 3701506056976 3769216533628 3939062886304 3986237292128 4059156266984 4180230001792 4230292636544 4307676038432 4501786155776 4555699762432 4639035733696 4848077398528 4906138205696 4964894351872 4995884636288 5055715590016 5301755124224 5519209924241 5943764533798 6400977190244 6477635599708 6596128933849 6792873752912 7315402503136 7403012113952 7538433067256 7878125772608 7972474584256 8118312533968 8360460003584 8460585273088 8615352076864 9003572311552 9111399524864 9278071467392 9991769272576 10111431180032 11038419848482 11887529067596 12801954380488 12955271199416 13192257867698 13585747505824 14630805006272 14806024227904 15076866134512 15756251545216 15944949168512 16236625067936 16720920007168 16921170546176 17230704153728 18556142934784 19983538545152 20222862360064 20803175868293 22076839696964 23775058135192 25603908760976 25910542398832 26384515735396 27171495011648 29261610012544 29612048455808 30153732269024 31512503090432 31889898337024 32473250135872 34461408307456 37112285869568 38634469469687 41606351736586 44153679393928 47550116270384 51207817521952 51821084797664 52769031470792 54342990023296 58523220025088 59224096911616 60307464538048 63025006180864 63779796674048 64946500271744 68922816614912 77268938939374 83212703473172 88307358787856 95100232540768 102415635043904 103642169595328 105538062941584 108685980046592 117046440050176 118448193823232 120614929076096 129893000543488 154537877878748 166425406946344 176614717575712 190200465081536 204831270087808 207284339190656 211076125883168 217371960093184 241229858152192 259786001086976 270441286287809 309075755757496 332850813892688 353229435151424 380400930163072 409662540175616 414568678381312 422152251766336 482459716304384 540882572575618 618151511514992 665701627785376 706458870302848 760801860326144 819325080351232 829137356762624 844304503532672 1081765145151236 1236303023029984 1331403255570752 1412917740605696 1521603720652288 1688609007065344 2163530290302472 2472606046059968 2662806511141504 2825835481211392 3377218014130688 4327060580604944 4945212092119936 5325613022283008 8654121161209888 9890424184239872 10651226044566016 17308242322419776 19780848368479744 34616484644839552 69232969289679104 138465938579358208
- Sum of all divisors σ(n): 359304970493584962
- Sum of proper divisors (its aliquot sum) s(n): 220839031914226754
- 138465938579358208 is an abundant number, because the sum of its proper divisors (220839031914226754) is greater than itself. Its abundance is 82373093334868546
Bases of 138465938579358208
- Binary: 1111010111110111000001001100110101000001110000010000000002
- Hexadecimal: 0x1EBEE099A838200
- Base-36: 11VE2U15K5J4
Squares and roots of 138465938579358208
- 138465938579358208 squared (1384659385793582082) is 19172816146662599753094141176971264
- 138465938579358208 cubed (1384659385793582083) is 2654781982957110849374657633947614156394714378534912
-
The
square root of 138465938579358208 is 372110116.2013177625 -
The
cube root of 138465938579358208 is 517345.8678313191
Scales and comparisons
How big is 138465938579358208?- 138,465,938,579,358,208 seconds is equal to 4,402,788,543 years, 28 weeks, 5 days, 16 hours, 23 minutes, 28 seconds.
-
To count from 1 to 138,465,938,579,358,208 would take you about thirteen billion, two hundred eight million, three hundred sixty-five thousand, six hundred thirty 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 138465938579358208 cubic inches would be around 43112.2 feet tall.
Recreational maths with 138465938579358208
- 138465938579358208 backwards is 802853975839564831
- The number of decimal digits it has is: 18
- The sum of 138465938579358208's digits is 94
- More coming soon!
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"Number 138465938579358208 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 138465938579358208 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138465938579358208/
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The information we have on file for 138465938579358208 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 138465938579358208, math, Factors of 138465938579358208, curriculum, school, college, exams, university, Prime factorization of 138465938579358208, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred sixty-five trillion, nine hundred thirty-eight billion, five hundred seventy-nine million, three hundred fifty-eight thousand, two hundred eight.