664461416003935680
664,461,416,003,935,680 is an even composite number composed of six prime numbers multiplied together.
664461416003935680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 664461416003935680:
26 × 35 × 5 × 13 × 269 × 2443531169
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 269 × 2443531169)See below for interesting mathematical facts about the number 664461416003935680 from the Numbermatics database.
Names of 664461416003935680
- Cardinal: 664461416003935680 can be written as Six hundred sixty-four quadrillion, four hundred sixty-one trillion, four hundred sixteen billion, three million, nine hundred thirty-five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 6.6446141600393568 × 1017
Factors of 664461416003935680
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 2443531461
Divisors of 664461416003935680
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 81 90 96 104 108 117 120 130 135 144 156 160 162 180 192 195 208 216 234 240 243 260 269 270 288 312 320 324 351 360 390 405 416 432 468 480 486 520 538 540 576 585 624 648 702 720 780 807 810 832 864 936 960 972 1040 1053 1076 1080 1170 1215 1248 1296 1345 1404 1440 1560 1614 1620 1728 1755 1872 1944 2080 2106 2152 2160 2340 2421 2430 2496 2592 2690 2808 2880 3120 3159 3228 3240 3497 3510 3744 3888 4035 4160 4212 4304 4320 4680 4842 4860 5184 5265 5380 5616 6240 6318 6456 6480 6994 7020 7263 7488 7776 8070 8424 8608 8640 9360 9684 9720 10491 10530 10760 11232 12105 12480 12636 12912 12960 13988 14040 14526 15552 15795 16140 16848 17216 17485 18720 19368 19440 20982 21060 21520 21789 22464 24210 25272 25824 25920 27976 28080 29052 31473 31590 32280 33696 34970 36315 37440 38736 38880 41964 42120 43040 43578 48420 50544 51648 52455 55952 56160 58104 62946 63180 64560 65367 67392 69940 72630 77472 77760 83928 84240 86080 87156 94419 96840 101088 104910 108945 111904 112320 116208 125892 126360 129120 130734 139880 145260 154944 157365 167856 168480 174312 188838 193680 202176 209820 217890 223808 232416 251784 252720 258240 261468 279760 283257 290520 314730 326835 335712 336960 348624 377676 387360 419640 435780 464832 472095 503568 505440 522936 559520 566514 581040 629460 653670 671424 697248 755352 774720 839280 849771 871560 944190 1007136 1010880 1045872 1119040 1133028 1162080 1258920 1307340 1394496 1416285 1510704 1678560 1699542 1743120 1888380 2014272 2091744 2266056 2324160 2517840 2614680 2832570 3021408 3357120 3399084 3486240 3776760 4183488 4248855 4532112 5035680 5229360 5665140 6042816 6798168 6972480 7553520 8497710 9064224 10071360 10458720 11330280 13596336 15107040 16995420 18128448 20917440 22660560 27192672 30214080 33990840 45321120 54385344 67981680 90642240 135963360 271926720 2443531169 4887062338 7330593507 9774124676 12217655845 14661187014 19548249352 21991780521 24435311690 29322374028 31765905197 36652967535 39096498704 43983561042 48870623380 58644748056 63531810394 65975341563 73305935070 78192997408 87967122084 95297715591 97741246760 109958902605 117289496112 127063620788 131950683126 146611870140 156385994816 158829525985 175934244168 190595431182 195482493520 197926024689 219917805210 234578992224 254127241576 263901366252 285893146773 293223740280 317659051970 329876707815 351868488336 381190862364 390964987040 395852049378 439835610420 469157984448 476488577955 508254483152 527802732504 571786293546 586447480560 593778074067 635318103940 657309884461 659753415630 703736976672 762381724728 781929974080 791704098756 857679440319 879671220840 952977155910 989630123445 1016508966304 1055605465008 1143572587092 1172894961120 1187556148134 1270636207880 1314619768922 1319506831260 1407473953344 1429465733865 1524763449456 1583408197512 1715358880638 1759342441680 1905954311820 1971929653383 1979260246890 2033017932608 2111210930016 2287145174184 2345789922240 2375112296268 2541272415760 2573038320957 2629239537844 2639013662520 2858931467730 2968890370335 3049526898912 3166816395024 3286549422305 3430717761276 3518684883360 3811908623640 3943859306766 3958520493780 4222421860032 4288397201595 4574290348368 4750224592536 5082544831520 5146076641914 5258479075688 5278027325040 5717862935460 5915788960149 5937780740670 6099053797824 6333632790048 6573098844610 6861435522552 7037369766720 7623817247280 7719114962871 7887718613532 7917040987560 8545028497993 8576794403190 9148580696736 9500449185072 9859648266915 10165089663040 10292153283828 10516958151376 10556054650080 11435725870920 11831577920298 11875561481340 12667265580096 12865191604785 13146197689220 13722871045104 15247634494560 15438229925742 15775437227064 15834081975120 17090056995986 17153588806380 17747366880447 18297161393472 19000898370144 19719296533830 20584306567656 21033916302752 21112109300160 22871451741840 23663155840596 23751122962680 25635085493979 25730383209570 26292395378440 27445742090208 29578944800745 30495268989120 30876459851484 31550874454128 31668163950240 34180113991972 34307177612760 35494733760894 38001796740288 38595574814355 39438593067660 41168613135312 42067832605504 42725142489965 45742903483680 47326311681192 47502245925360 51270170987958 51460766419140 52584790756880 53242100641341 54891484180416 59157889601490 61752919702968 63101748908256 63336327900480 68360227983944 68614355225520 70989467521788 76905256481937 77191149628710 78877186135320 82337226270624 85450284979930 88736834402235 91485806967360 94652623362384 95004491850720 102540341975916 102921532838280 105169581513760 106484201282682 118315779202980 123505839405936 126203497816512 128175427469895 136720455967888 137228710451040 141978935043576 153810512963874 154382299257420 157754372270640 159726301924023 164674452541248 170900569959860 177473668804470 189305246724768 190008983701440 205080683951832 205843065676560 210339163027520 212968402565364 230715769445811 236631558405960 247011678811872 256350854939790 266210503206705 273440911935776 274457420902080 283957870087152 307621025927748 308764598514840 315508744541280 319452603848046 341801139919720 354947337608940 378610493449536 384526282409685 410161367903664 411686131353120 425936805130728 461431538891622 473263116811920 494023357623744 512701709879580 532421006413410 546881823871552 567915740174304 615242051855496 617529197029680 631017489082560 638905207696092 683602279839440 692147308337433 709894675217880 769052564819370 798631509620115 820322735807328 823372262706240 851873610261456 922863077783244 946526233623840 1025403419759160 1064842012826820 1135831480348608 1153578847229055 1230484103710992 1235058394059360 1277810415392184 1367204559678880 1384294616674866 1419789350435760 1538105129638740 1597263019240230 1640645471614656 1703747220522912 1845726155566488 1893052467247680 2050806839518320 2076441925012299 2129684025653640 2307157694458110 2460968207421984 2470116788118720 2555620830784368 2734409119357760 2768589233349732 2839578700871520 3076210259277480 3194526038480460 3407494441045824 3460736541687165 3691452311132976 4101613679036640 4152883850024598 4259368051307280 4614315388916220 4921936414843968 5111241661568736 5537178466699464 5679157401743040 6152420518554960 6389052076960920 6921473083374330 7382904622265952 8203227358073280 8305767700049196 8518736102614560 9228630777832440 10222483323137472 10382209625061495 11074356933398928 12304841037109920 12778104153921840 13842946166748660 14765809244531904 16611535400098392 17037472205229120 18457261555664880 20764419250122990 22148713866797856 24609682074219840 25556208307843680 27685892333497320 33223070800196784 36914523111329760 41528838500245980 44297427733595712 51112416615687360 55371784666994640 66446141600393568 73829046222659520 83057677000491960 110743569333989280 132892283200787136 166115354000983920 221487138667978560 332230708001967840 664461416003935680
- Sum of all divisors σ(n): 2561922796458916800
- Sum of proper divisors (its aliquot sum) s(n): 1897461380454981120
- 664461416003935680 is an abundant number, because the sum of its proper divisors (1897461380454981120) is greater than itself. Its abundance is 1232999964451045440
Bases of 664461416003935680
- Binary: 1001001110001010010000100011001010111101111000011101110000002
- Hexadecimal: 0x938A4232BDE1DC0
- Base-36: 51QJWWHVDO00
Squares and roots of 664461416003935680
- 664461416003935680 squared (6644614160039356802) is 441508973357955271011461249577062400
- 664461416003935680 cubed (6644614160039356803) is 293365677615870872277204731524118671235093852946432000
-
The
square root of 664461416003935680 is 815145027.5895300339 -
The
cube root of 664461416003935680 is 872616.1687468315
Scales and comparisons
How big is 664461416003935680?- 664,461,416,003,935,680 seconds is equal to 21,127,817,714 years, 42 weeks, 3 days, 16 hours, 48 minutes.
-
To count from 1 to 664,461,416,003,935,680 would take you about sixty-three billion, three hundred eighty-three million, four hundred fifty-three thousand, one hundred forty-four 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 664461416003935680 cubic inches would be around 72718 feet tall.
Recreational maths with 664461416003935680
- 664461416003935680 backwards is 086539300614164466
- 664461416003935680 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 664461416003935680's digits is 72
- More coming soon!
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The information we have on file for 664461416003935680 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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