13638839122460681472
13,638,839,122,460,681,472 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13638839122460681472 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
13638839122460681472 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 13638839122460681472:
28 × 3 × 7 × 67 × 269 × 15263 × 9222553
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 67 × 269 × 15263 × 9222553)See below for interesting mathematical facts about the number 13638839122460681472 from the Numbermatics database.
Names of 13638839122460681472
- Cardinal: 13638839122460681472 can be written as Thirteen quintillion, six hundred thirty-eight quadrillion, eight hundred thirty-nine trillion, one hundred twenty-two billion, four hundred sixty million, six hundred eighty-one thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.3638839122460681472 × 1019
Factors of 13638839122460681472
Divisors of 13638839122460681472
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 128 134 168 192 201 224 256 268 269 336 384 402 448 469 536 538 672 768 804 807 896 938 1072 1076 1344 1407 1608 1614 1792 1876 1883 2144 2152 2688 2814 3216 3228 3752 3766 4288 4304 5376 5628 5649 6432 6456 7504 7532 8576 8608 11256 11298 12864 12912 15008 15064 15263 17152 17216 18023 22512 22596 25728 25824 30016 30128 30526 34432 36046 45024 45192 45789 51456 51648 54069 60032 60256 61052 68864 72092 90048 90384 91578 103296 106841 108138 120064 120512 122104 126161 144184 180096 180768 183156 206592 213682 216276 241024 244208 252322 288368 320523 360192 361536 366312 378483 427364 432552 482048 488416 504644 576736 641046 723072 732624 756966 854728 865104 976832 1009288 1022621 1153472 1282092 1446144 1465248 1513932 1709456 1730208 1953664 2018576 2045242 2306944 2564184 2930496 3027864 3067863 3418912 3460416 3907328 4037152 4090484 4105747 4613888 5128368 5860992 6055728 6135726 6837824 6920832 7158347 8074304 8180968 8211494 9222553 10256736 11721984 12111456 12271452 12317241 13675648 13841664 14316694 16148608 16361936 16422988 18445106 20513472 21475041 24222912 24542904 24634482 27351296 27667659 28633388 28740229 32297216 32723872 32845976 36890212 41026944 42950082 48445824 49085808 49268964 55335318 57266776 57480458 64557871 65447744 65691952 73780424 82053888 85900164 86220687 96891648 98171616 98537928 110670636 114533552 114960916 129115742 130895488 131383904 147560848 171800328 172441374 193673613 196343232 197075856 221341272 229067104 229921832 258231484 261790976 262767808 275085049 295121696 343600656 344882748 387347226 392686464 394151712 442682544 458134208 459843664 516462968 525535616 550170098 590243392 617911051 687201312 689765496 774694452 785372928 788303424 825255147 885365088 916268416 919687328 1032925936 1051071232 1100340196 1180486784 1235822102 1374402624 1379530992 1549388904 1576606848 1650510294 1770730176 1832536832 1839374656 1853733153 1925595343 2065851872 2200680392 2360973568 2471644204 2480866757 2748805248 2759061984 3098777808 3153213696 3301020588 3541460352 3678749312 3707466306 3851190686 4131703744 4325377357 4401360784 4943288408 4961733514 5497610496 5518123968 5776786029 6197555616 6602041176 7082920704 7357498624 7414932612 7442600271 7702381372 8263407488 8650754714 8802721568 9886576816 9923467028 11036247936 11553572058 12395111232 12976132071 13204082352 14829865224 14885200542 15404762744 16526814976 17301509428 17366067299 17605443136 19773153632 19846934056 22072495872 23107144116 24790222464 25952264142 26408164704 29659730448 29770401084 30809525488 34603018856 34732134598 35210886272 39546307264 39693868112 46214288232 49580444928 51904528284 52098201897 52816329408 59319460896 59540802168 61619050976 69206037712 69464269196 70421772544 79092614528 79387736224 92428576464 103809056568 104196403794 105632658816 118638921792 119081604336 123238101952 138412075424 138928538392 140763826439 158185229056 158775472448 166218072719 184857152928 207618113136 208392807588 211265317632 237277843584 238163208672 246476203904 276824150848 277857076784 281527652878 317550944896 332436145438 369714305856 415236226272 416785615176 422291479317 474555687168 476326417344 492952407808 498654218157 553648301696 555714153568 563055305756 635101889792 664872290876 739428611712 830472452544 833571230352 844582958634 952652834688 985346785073 997308436314 1107296603392 1111428307136 1126110611512 1163526509033 1329744581752 1478857223424 1660944905088 1667142460704 1689165917268 1905305669376 1970693570146 1994616872628 2222856614272 2252221223024 2327053018066 2659489163504 2956040355219 3321889810176 3334284921408 3378331834536 3490579527099 3941387140292 3989233745256 4445713228544 4504442446048 4654106036132 5318978327008 5912080710438 6668569842816 6756663669072 6981159054198 7882774280584 7978467490512 9008884892096 9308212072264 9431176371413 10637956654016 11824161420876 13337139685632 13513327338144 13962318108396 15765548561168 15956934981024 18017769784192 18616424144528 18862352742826 21275913308032 23648322841752 27026654676288 27924636216792 28293529114239 31531097122336 31913869962048 36035539568384 37232848289056 37724705485652 37865469312091 42551826616064 47296645683504 54053309352576 55849272433584 56587058228478 63062194244672 63827739924096 66018234599891 74465696578112 75449410971304 75730938624182 94593291367008 108106618705152 111698544867168 113174116456956 113596407936273 126124388489344 127655479848192 132036469199782 148931393156224 150898821942608 151461877248364 189186582734016 198054703799673 223397089734336 226348232913912 227192815872546 252248776978688 264072938399564 265058285184637 297862786312448 301797643885216 302923754496728 378373165468032 396109407599346 446794179468672 452696465827824 454385631745092 528145876799128 530116570369274 603595287770432 605847508993456 756746330936064 792218815198692 795174855553911 893588358937344 905392931655648 908771263490184 1056291753598256 1060233140738548 1207190575540864 1211695017986912 1584437630397384 1590349711107822 1810785863311296 1817542526980368 2112583507196512 2120466281477096 2414381151081728 2423390035973824 2536986443910097 3168875260794768 3180699422215644 3621571726622592 3635085053960736 4225167014393024 4240932562954192 4846780071947648 5073972887820194 6337750521589536 6361398844431288 7243143453245184 7270170107921472 7610959331730291 8450334028786048 8481865125908384 9693560143895296 10147945775640388 12675501043179072 12722797688862576 14540340215842944 15221918663460582 16900668057572096 16963730251816768 17758905107370679 20295891551280776 25351002086358144 25445595377725152 29080680431685888 30443837326921164 33927460503633536 35517810214741358 40591783102561552 50702004172716288 50891190755450304 53276715322112037 60887674653842328 67854921007267072 71035620429482716 81183566205123104 101782381510900608 106553430644224074 121775349307684656 142071240858965432 162367132410246208 203564763021801216 213106861288448148 243550698615369312 284142481717930864 324734264820492416 426213722576896296 487101397230738624 568284963435861728 649468529640984832 852427445153792592 974202794461477248 1136569926871723456 1704854890307585184 1948405588922954496 2273139853743446912 3409709780615170368 4546279707486893824 6819419561230340736 13638839122460681472
- Sum of all divisors σ(n): 42263272253671096320
- Sum of proper divisors (its aliquot sum) s(n): 28624433131210414848
- 13638839122460681472 is an abundant number, because the sum of its proper divisors (28624433131210414848) is greater than itself. Its abundance is 14985594008749733376
Bases of 13638839122460681472
- Binary: 10111101010001101110001111101011100100101111100000100101000000002
- Hexadecimal: 0xBD46E3EB92F82500
- Base-36: 2VMDGYRB6E8LC
Squares and roots of 13638839122460681472
- 13638839122460681472 squared (136388391224606814722) is 186017932608364051850400522586644086784
- 13638839122460681472 cubed (136388391224606814723) is 2537068656738210149808097089742292842054366809087748866048
-
The
square root of 13638839122460681472 is 3693079896.5715162917 -
The
cube root of 13638839122460681472 is 2389236.4712900235
Scales and comparisons
How big is 13638839122460681472?- 13,638,839,122,460,681,472 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,638,839,122,460,681,472 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 13638839122460681472 cubic inches would be around 199103 feet tall.
Recreational maths with 13638839122460681472
- 13638839122460681472 backwards is 27418606422193883631
- 13638839122460681472 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13638839122460681472's digits is 84
- More coming soon!
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The information we have on file for 13638839122460681472 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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