4138507428414138120
4,138,507,428,414,138,120 is an even composite number composed of eight prime numbers multiplied together.
4138507428414138120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 4138507428414138120:
23 × 3 × 5 × 11 × 31 × 612 × 6301 × 4313591
(2 × 2 × 2 × 3 × 5 × 11 × 31 × 61 × 61 × 6301 × 4313591)See below for interesting mathematical facts about the number 4138507428414138120 from the Numbermatics database.
Names of 4138507428414138120
- Cardinal: 4138507428414138120 can be written as Four quintillion, one hundred thirty-eight quadrillion, five hundred seven trillion, four hundred twenty-eight billion, four hundred fourteen million, one hundred thirty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.13850742841413812 × 1018
Factors of 4138507428414138120
Divisors of 4138507428414138120
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 61 62 66 88 93 110 120 122 124 132 155 165 183 186 220 244 248 264 305 310 330 341 366 372 440 465 488 610 620 660 671 682 732 744 915 930 1023 1220 1240 1320 1342 1364 1464 1705 1830 1860 1891 2013 2046 2440 2684 2728 3355 3410 3660 3720 3721 3782 4026 4092 5115 5368 5673 6301 6710 6820 7320 7442 7564 8052 8184 9455 10065 10230 11163 11346 12602 13420 13640 14884 15128 16104 18605 18903 18910 20130 20460 20801 22326 22692 25204 26840 28365 29768 31505 37210 37806 37820 40260 40920 40931 41602 44652 45384 50408 55815 56730 62403 63010 69311 74420 75612 75640 80520 81862 83204 89304 94515 104005 111630 113460 115351 122793 124806 126020 138622 148840 151224 163724 166408 189030 195331 204655 207933 208010 223260 226920 230702 245586 249612 252040 277244 312015 327448 346053 346555 378060 384361 390662 409310 415866 416020 446520 461404 491172 499224 554488 576755 585993 613965 624030 692106 693110 756120 768722 781324 818620 831732 832040 922808 976655 982344 1039665 1153083 1153510 1171986 1227930 1248060 1268861 1384212 1386220 1537444 1562648 1637240 1663464 1730265 1921805 1953310 2079330 2148641 2306166 2307020 2343972 2455860 2496120 2537722 2768424 2772440 2929965 3074888 3460530 3806583 3843610 3906620 4158660 4227971 4297282 4313591 4612332 4614040 4687944 4911720 5075444 5765415 5859930 6344305 6445923 6921060 7613166 7687220 7813240 8317320 8455942 8594564 8627182 9224664 10150888 10743205 11530830 11719860 11915191 12683913 12688610 12891846 12940773 13842120 15226332 15374440 16911884 17189128 17254364 19032915 21139855 21486410 21567955 23061660 23439720 23446021 23830382 25367826 25377220 25783692 25881546 30452664 32229615 33823768 34508728 35745573 38065830 42279710 42972820 43135910 46123320 46892042 47449501 47660764 50735652 50754440 51567384 51763092 59575955 63419565 64459230 64703865 70338063 71491146 76131660 84559420 85945640 86271820 93784084 94899002 95321528 101471304 103526184 117230105 119151910 126839130 128918460 129407730 131067101 133721321 140676126 142348503 142982292 152263320 169118840 172543640 178727865 187568168 189798004 234460210 237247505 238303820 253678260 257836920 257906231 258815460 262134202 263129051 267442642 281352252 284697006 285964584 351690315 357455730 379596008 393201303 401163963 468920420 474495010 476607640 507356520 515812462 517630920 524268404 526258102 534885284 562704504 569394012 655335505 668606605 703380630 711742515 714911460 726826651 773718693 786402606 789387153 802327926 937840840 948990020 1031624924 1048536808 1052516204 1069770568 1138788024 1289531155 1310671010 1315645255 1337213210 1406761260 1423485030 1429822920 1453653302 1470934531 1547437386 1572805212 1578774306 1604655852 1897980040 1966006515 2005819815 2063249848 2105032408 2180479953 2579062310 2621342020 2631290510 2674426420 2813522520 2846970060 2894419561 2907306604 2941869062 3094874772 3145610424 3157548612 3209311704 3634133255 3868593465 3932013030 3946935765 4011639630 4360959906 4412803593 5158124620 5242684040 5262581020 5348852840 5693940120 5788839122 5814613208 5883738124 6189749544 6315097224 7268266510 7354672655 7737186930 7864026060 7893871530 7995093161 8023279260 8157000581 8683258683 8721919812 8825607186 10316249240 10525162040 10902399765 11577678244 11767476248 14472097805 14536533020 14709345310 15474373860 15728052120 15787743060 15990186322 16046558520 16050872111 16314001162 17366517366 17443839624 17651214372 21804799530 22064017965 23155356488 23985279483 24471001743 27179936891 28944195610 29073066040 29418690620 30948747720 31575486120 31980372644 32101744222 32628002324 34733034732 35302428744 39975465805 40785002905 43416293415 43609599060 44128035930 47970558966 48152616333 48942003486 54359873782 57888391220 58837381240 63960745288 64203488444 65256004648 69466069464 79950931610 80254360555 81539810673 81570005810 86832586830 87219198120 88256071860 89727006391 95941117932 96305232666 97884006972 108719747564 115776782440 119926397415 122355008715 128406976888 135899684455 159901863220 160508721110 163079621346 163140011620 173665173660 176512143720 176559593221 179454012782 191882235864 192610465332 195768013944 217439495128 239852794830 240763081665 244710017430 269181019173 271799368910 298979305801 319803726440 321017442220 326159242692 326280023240 347330347320 353119186442 358908025564 385220930664 407699053365 448635031955 479705589660 481526163330 489420034860 497577035441 529678779663 538362038346 543598737820 597958611602 642034884440 652318485384 706238372884 717816051128 815398106730 842578043621 882797966105 896937917403 897270063910 959411179320 963052326660 978840069720 995154070882 1059357559326 1076724076692 1087197475640 1195917223204 1345905095865 1412476745768 1492731106323 1494896529005 1630796213460 1657976150351 1685156087242 1765595932210 1793875834806 1794540127820 1926104653320 1990308141764 2118715118652 2153448153384 2391834446408 2487885177205 2527734130863 2648393898315 2691810191730 2985462212646 2989793058010 3261592426920 3315952300702 3370312174484 3531191864420 3587751669612 3589080255640 3980616283528 4212890218105 4237430237304 4484689587015 4973928451053 4975770354410 5055468261726 5296787796630 5383620383460 5473347389851 5970924425292 5979586116020 6631904601404 6740624348968 7062383728840 7175503339224 7463655531615 8289880751755 8425780436210 8969379174030 9268358479831 9947856902106 9951540708820 10110936523452 10593575593260 10767240766920 10946694779702 11941848850584 11959172232040 12638670654315 13263809202808 14927311063230 16420042169553 16579761503510 16851560872420 17938758348060 18237737653861 18536716959662 19895713804212 19903081417640 20221873046904 21187151186520 21893389559404 24869642255265 25277341308630 27366736949255 27805075439493 29854622126460 32840084339106 33159523007020 33703121744840 35877516696120 36475475307722 37073433919324 39791427608424 43786779118808 46341792399155 49739284510530 50554682617260 51397260660881 54713212961583 54733473898510 55610150878986 59709244252920 65680168678212 66319046014040 72950950615444 74146867838648 82100210847765 91188688269305 92683584798310 99478569021060 101109365234520 101136545171411 102794521321762 109426425923166 109466947797020 111220301757972 131360337356424 139025377197465 145901901230888 154191781982643 164200421695530 182377376538610 185367169596620 198957138042120 202273090342822 205589042643524 218852851846332 218933895594040 222440603515944 256986303304405 273566064807915 278050754394930 303409635514233 308383563965286 328400843391060 364754753077220 370734339193240 404546180685644 411178085287048 437705703692664 505682725857055 513972606608810 547132129615830 556101508789860 565369867269691 606819271028466 616767127930572 656801686782120 729509506154440 770958909913215 809092361371288 1011365451714110 1027945213217620 1094264259231660 1112203017579720 1112501996885521 1130739734539382 1213638542056932 1233534255861144 1517048177571165 1541917819826430 1696109601809073 2022730903428220 2055890426435240 2188528518463320 2225003993771042 2261479469078764 2427277084113864 2826849336348455 3034096355142330 3083835639652860 3135232900313741 3337505990656563 3392219203618146 4045461806856440 4450007987542084 4522958938157528 5562509984427605 5653698672696910 6068192710284660 6167671279305720 6270465800627482 6675011981313126 6784438407236292 8480548009045365 8900015975084168 9405698700941223 11125019968855210 11307397345393820 12136385420569320 12540931601254964 13350023962626252 13568876814472584 15676164501568705 16687529953282815 16961096018090730 18811397401882446 22250039937710420 22614794690787640 25081863202509928 26700047925252504 31352329003137410 33375059906565630 33922192036181460 34487561903451151 37622794803764892 44500079875420840 47028493504706115 62704658006274820 66750119813131260 67844384072362920 68975123806902302 75245589607529784 94056987009412230 103462685710353453 125409316012549640 133500239626262520 137950247613804604 172437809517255755 188113974018824460 206925371420706906 275900495227609208 344875619034511510 376227948037648920 413850742841413812 517313428551767265 689751238069023020 827701485682827624 1034626857103534530 1379502476138046040 2069253714207069060 4138507428414138120
- Sum of all divisors σ(n): 14216331121533665280
- Sum of proper divisors (its aliquot sum) s(n): 10077823693119527160
- 4138507428414138120 is an abundant number, because the sum of its proper divisors (10077823693119527160) is greater than itself. Its abundance is 5939316264705389040
Bases of 4138507428414138120
- Binary: 111001011011101110111010010100010100101111000010100111000010002
- Hexadecimal: 0x396EEE9452F0A708
- Base-36: VFXEG26UGLJC
Squares and roots of 4138507428414138120
- 4138507428414138120 squared (41385074284141381202) is 17127243735039002555847421102437134400
- 4138507428414138120 cubed (41385074284141381203) is 70881225425718420468296367712233875599645965458603328000
-
The
square root of 4138507428414138120 is 2034332182.4161702329 -
The
cube root of 4138507428414138120 is 1605515.7846325555
Scales and comparisons
How big is 4138507428414138120?- 4,138,507,428,414,138,120 seconds is equal to 131,591,734,979 years, 30 weeks, 5 days, 1 hour, 2 minutes.
-
To count from 1 to 4,138,507,428,414,138,120 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 4138507428414138120 cubic inches would be around 133793 feet tall.
Recreational maths with 4138507428414138120
- 4138507428414138120 backwards is 0218314148247058314
- 4138507428414138120 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 4138507428414138120's digits is 66
- More coming soon!
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The information we have on file for 4138507428414138120 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 4138507428414138120, math, Factors of 4138507428414138120, curriculum, school, college, exams, university, Prime factorization of 4138507428414138120, STEM, science, technology, engineering, physics, economics, calculator, four quintillion, one hundred thirty-eight quadrillion, five hundred seven trillion, four hundred twenty-eight billion, four hundred fourteen million, one hundred thirty-eight thousand, one hundred twenty.