13007148238430208
13,007,148,238,430,208 is an even composite number composed of six prime numbers multiplied together.
What does the number 13007148238430208 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 672 divisors.
13007148238430208 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 13007148238430208:
213 × 32 × 53 × 139 × 3121 × 7673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 53 × 139 × 3121 × 7673)See below for interesting mathematical facts about the number 13007148238430208 from the Numbermatics database.
Names of 13007148238430208
- Cardinal: 13007148238430208 can be written as Thirteen quadrillion, seven trillion, one hundred forty-eight billion, two hundred thirty-eight million, four hundred thirty thousand, two hundred eight.
Scientific notation
- Scientific notation: 1.3007148238430208 × 1016
Factors of 13007148238430208
Divisors of 13007148238430208
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 139 144 159 192 212 256 278 288 318 384 417 424 477 512 556 576 636 768 834 848 954 1024 1112 1152 1251 1272 1536 1668 1696 1908 2048 2224 2304 2502 2544 3072 3121 3336 3392 3816 4096 4448 4608 5004 5088 6144 6242 6672 6784 7367 7632 7673 8192 8896 9216 9363 10008 10176 12288 12484 13344 13568 14734 15264 15346 17792 18432 18726 20016 20352 22101 23019 24576 24968 26688 27136 28089 29468 30528 30692 35584 36864 37452 40032 40704 44202 46038 49936 53376 54272 56178 58936 61056 61384 66303 69057 71168 73728 74904 80064 81408 88404 92076 99872 106752 108544 112356 117872 122112 122768 132606 138114 142336 149808 160128 162816 165413 176808 184152 199744 213504 217088 224712 235744 244224 245536 265212 276228 284672 299616 320256 325632 330826 353616 368304 399488 406669 427008 433819 434176 449424 471488 488448 491072 496239 530424 552456 569344 599232 640512 651264 661652 707232 736608 798976 813338 854016 867638 898848 942976 976896 982144 992478 1060848 1066547 1104912 1138688 1198464 1220007 1281024 1301457 1302528 1323304 1414464 1473216 1488717 1597952 1626676 1708032 1735276 1797696 1885952 1953792 1964288 1984956 2121696 2133094 2209824 2396928 2440014 2562048 2602914 2646608 2828928 2946432 2977434 3195904 3199641 3253352 3416064 3470552 3595392 3660021 3771904 3904371 3907584 3928576 3969912 4243392 4266188 4419648 4793856 4880028 5124096 5205828 5293216 5657856 5892864 5954868 6391808 6399282 6506704 6941104 7190784 7320042 7543808 7808742 7857152 7939824 8486784 8532376 8839296 9587712 9598923 9760056 10248192 10411656 10586432 11315712 11785728 11909736 12783616 12798564 13013408 13882208 14381568 14640084 15087616 15617484 15714304 15879648 16973568 17064752 17678592 19175424 19197846 19520112 20823312 21172864 22631424 22992407 23571456 23819472 23947433 25567232 25597128 26026816 27764416 28763136 29280168 30175232 31234968 31428608 31759296 33947136 34129504 35357184 38350848 38395692 39040224 41646624 42345728 45262848 45984814 47142912 47638944 47894866 51194256 52053632 55528832 56526991 57526272 58560336 60350464 62469936 62857216 63518592 67894272 68259008 68977221 70714368 71842299 76701696 76791384 78080448 83293248 84691456 90525696 91969628 94285824 95277888 95789732 102388512 104107264 111057664 113053982 115052544 117120672 124939872 127037184 135788544 136518016 137954442 141428736 143684598 153582768 156160896 166586496 169382912 169580973 181051392 183939256 188571648 190555776 191579464 204777024 206931663 208214528 215526897 222115328 226107964 230105088 234241344 249879744 254074368 271577088 273036032 275908884 282857472 287369196 307165536 312321792 333172992 338765824 339161946 367878512 381111552 383158928 409554048 413863326 416429056 431053794 444230656 452215928 468482688 499759488 508148736 508742919 543154176 546072064 551817768 565714944 574738392 614331072 624643584 666345984 677531648 678323892 735757024 762223104 766317856 819108096 827726652 832858112 862107588 888461312 904431856 936965376 999518976 1016297472 1017485838 1092144128 1103635536 1149476784 1228662144 1249287168 1269213949 1332691968 1355063296 1356647784 1471514048 1524446208 1532635712 1638216192 1655453304 1665716224 1724215176 1776922624 1808863712 1873930752 1999037952 2032594944 2034971676 2184288256 2207271072 2298953568 2457324288 2498574336 2538427898 2665383936 2713295568 2943028096 3048892416 3065271424 3276432384 3310906608 3328693187 3331432448 3448430352 3553845248 3617727424 3747861504 3807641847 3998075904 4065189888 4069943352 4368576512 4414542144 4597907136 4914648576 4997148672 5076855796 5330767872 5426591136 5886056192 6097784832 6130542848 6552864768 6621813216 6657386374 6896860704 7235454848 7495723008 7615283694 7996151808 8139886704 8737153024 8829084288 9195814272 9829297152 9986079561 9994297344 10153711592 10661535744 10853182272 11422925541 11772112384 12195569664 12261085696 13105729536 13243626432 13314772748 13793721408 14470909696 14991446016 15230567388 15992303616 16279773408 17658168576 18391628544 19658594304 19972159122 20307423184 21706364544 22845851082 23544224768 24522171392 26211459072 26487252864 26629545496 27587442816 28941819392 29958238683 29982892032 30461134776 31984607232 32559546816 35316337152 36783257088 39317188608 39944318244 40614846368 43412729088 45691702164 47088449536 49044342784 52974505728 53259090992 55174885632 57883638784 59916477366 60922269552 65119093632 70632674304 73566514176 78634377216 79888636488 81229692736 86825458176 91383404328 94176899072 98088685568 105949011456 106518181984 110349771264 115767277568 119832954732 121844539104 130238187264 141265348608 147133028352 159777272976 162459385472 173650916352 176420738911 182766808656 188353798144 196177371136 211898022912 213036363968 220699542528 231534555136 239665909464 243689078208 260476374528 282530697216 294266056704 319554545952 324918770944 347301832704 352841477822 365533617312 423796045824 426072727936 441399085056 463069110272 479331818928 487378156416 520952749056 529262216733 565061394432 588532113408 639109091904 649837541888 694603665408 705682955644 731067234624 847592091648 852145455872 882798170112 958663637856 974756312832 1041905498112 1058524433466 1278218183808 1299675083776 1389207330816 1411365911288 1462134469248 1587786650199 1695184183296 1704290911744 1765596340224 1917327275712 1949512625664 2083810996224 2117048866932 2556436367616 2599350167552 2822731822576 2924268938496 3175573300398 3408581823488 3834654551424 3899025251328 4167621992448 4234097733864 5112872735232 5198700335104 5645463645152 5848537876992 6351146600796 6817163646976 7669309102848 7798050502656 8468195467728 10225745470464 10397400670208 11290927290304 11697075753984 12702293201592 13634327293952 15338618205696 15596101005312 16936390935456 20451490940928 22581854580608 23394151507968 25404586403184 27268654587904 30677236411392 31192202010624 33872781870912 40902981881856 45163709161216 46788303015936 50809172806368 61354472822784 67745563741824 81805963763712 90327418322432 93576606031872 101618345612736 122708945645568 135491127483648 180654836644864 203236691225472 245417891291136 270982254967296 361309673289728 406473382450944 541964509934592 722619346579456 812946764901888 1083929019869184 1445238693158912 1625893529803776 2167858039738368 3251787059607552 4335716079476736 6503574119215104 13007148238430208
- Sum of all divisors σ(n): 38575651775562720
- Sum of proper divisors (its aliquot sum) s(n): 25568503537132512
- 13007148238430208 is an abundant number, because the sum of its proper divisors (25568503537132512) is greater than itself. Its abundance is 12561355298702304
Bases of 13007148238430208
- Binary: 1011100011010111101110101100100100101011100000000000002
- Hexadecimal: 0x2E35EEB24AE000
- Base-36: 3K2NDEQJNK0
Squares and roots of 13007148238430208
- 13007148238430208 squared (130071482384302082) is 169185905296498063102532086923264
- 13007148238430208 cubed (130071482384302083) is 2200626150044564779000308886493610302859915558912
-
The
square root of 13007148238430208 is 114048885.3011295679 -
The
cube root of 13007148238430208 is 235176.5580572769
Scales and comparisons
How big is 13007148238430208?- 13,007,148,238,430,208 seconds is equal to 413,587,080 years, 12 weeks, 1 hour, 16 minutes, 48 seconds.
-
To count from 1 to 13,007,148,238,430,208 would take you about one billion, two hundred forty million, seven hundred sixty-one thousand, two hundred forty 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 13007148238430208 cubic inches would be around 19598 feet tall.
Recreational maths with 13007148238430208
- 13007148238430208 backwards is 80203483284170031
- The number of decimal digits it has is: 17
- The sum of 13007148238430208's digits is 54
- More coming soon!
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The information we have on file for 13007148238430208 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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