13008106198017225
13,008,106,198,017,225 is an odd composite number composed of six prime numbers multiplied together.
What does the number 13008106198017225 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1215 divisors.
13008106198017225 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred fifteen divisors.
Prime factorization of 13008106198017225:
34 × 52 × 172 × 292 × 532 × 972
(3 × 3 × 3 × 3 × 5 × 5 × 17 × 17 × 29 × 29 × 53 × 53 × 97 × 97)See below for interesting mathematical facts about the number 13008106198017225 from the Numbermatics database.
Names of 13008106198017225
- Cardinal: 13008106198017225 can be written as Thirteen quadrillion, eight trillion, one hundred six billion, one hundred ninety-eight million, seventeen thousand, two hundred twenty-five.
Scientific notation
- Scientific notation: 1.3008106198017225 × 1016
Factors of 13008106198017225
Divisors of 13008106198017225
- Number of divisors d(n): 1215
-
Complete list of divisors:
1 3 5 9 15 17 25 27 29 45 51 53 75 81 85 87 97 135 145 153 159 225 255 261 265 289 291 405 425 435 459 477 485 493 675 725 765 783 795 841 867 873 901 1275 1305 1325 1377 1431 1445 1455 1479 1537 1649 2025 2175 2295 2349 2385 2425 2465 2523 2601 2619 2703 2809 2813 3825 3915 3975 4205 4293 4335 4365 4437 4505 4611 4947 5141 6525 6885 7155 7225 7275 7395 7569 7685 7803 7857 8109 8245 8381 8427 8439 9409 11475 11745 11925 12325 12615 13005 13095 13311 13515 13833 14045 14065 14297 14841 15317 15423 19575 21025 21465 21675 21825 22185 22525 22707 23055 23409 24327 24735 25143 25281 25317 25705 26129 28033 28227 34425 35775 36975 37845 38425 39015 39285 39933 40545 41225 41499 41905 42135 42195 42891 44523 44573 45951 46269 47045 47753 47821 58725 63075 65025 65475 66555 67575 68121 69165 70225 70325 71485 72981 74205 75429 75843 75951 76585 77115 78387 81461 81577 84099 84681 87397 107325 110925 113535 115275 117045 121635 123675 124497 125715 126405 126585 128525 128673 130645 133569 133719 137853 138807 140165 141135 143259 143463 149089 159953 189225 195075 196425 199665 202725 207495 209525 210675 210975 214455 222615 222865 226287 227529 227853 229755 231345 235161 235225 238765 239105 243049 244383 244731 252297 254043 262191 272473 272861 332775 340605 345825 357425 364905 371025 377145 379215 379755 382925 385575 386019 391935 401157 407305 407885 413559 416421 420495 423405 429777 430389 436985 444193 447267 479859 498677 567675 585225 608175 622485 628575 632025 632925 643365 653225 667845 668595 678861 689265 694035 700825 705483 705675 716295 717315 729147 733149 734193 745445 756891 757741 762129 786573 799765 811801 812957 817419 818583 998325 1037475 1072275 1113075 1114325 1131435 1137645 1139265 1148775 1156725 1158057 1175805 1193825 1195525 1203471 1215245 1221915 1223655 1240677 1261485 1270215 1289331 1291167 1310955 1332579 1341801 1362365 1364305 1384837 1386809 1439577 1485749 1496031 1703025 1824525 1885725 1896075 1898775 1930095 1959675 2005785 2036525 2039425 2067795 2082105 2102475 2116449 2117025 2148885 2151945 2184925 2187441 2199447 2202579 2220965 2236335 2270673 2273223 2359719 2362369 2399295 2435403 2438871 2452257 2455749 2493385 2534513 2719201 3112425 3216825 3339225 3342975 3394305 3446325 3470175 3527415 3581475 3586575 3610413 3645735 3665745 3670965 3727225 3784455 3788705 3810645 3867993 3873501 3932865 3997737 3998825 4025403 4059005 4064785 4087095 4092915 4154511 4160427 4318731 4323581 4457247 4488093 4632041 4638637 5657175 5688225 5696325 5790285 5879025 6017355 6076225 6109575 6118275 6203385 6307425 6351075 6446655 6455835 6554775 6562323 6598341 6607737 6662895 6709005 6811825 6819669 6821525 6924185 6934045 7079157 7087107 7197885 7306209 7316613 7356771 7367247 7428745 7480155 7603539 7901717 7912969 8157603 8477509 9650475 10028925 10338975 10410525 10582245 10744425 10759725 10937205 10997235 11012895 11104825 11181675 11353365 11366115 11798595 11811845 11993211 11996475 12076209 12177015 12194355 12261285 12278745 12463533 12466925 12481281 12672565 12881597 12956193 12970743 13371741 13464279 13596005 13896123 13915911 14461633 16971525 17637075 18052065 18228675 18328725 18354825 18922275 18943525 19053225 19339965 19367505 19664325 19686969 19988685 20127015 20295025 20323925 20435475 20459007 20464575 20772555 20802135 21261321 21593655 21617905 21918627 21949839 22070313 22101741 22286235 22440465 22810617 23160205 23193185 23542229 23575753 23705151 23738907 24472809 25432527 26429881 28951425 30086775 31016925 32233275 32279175 32811615 32991705 33038685 33314475 33545025 34098345 34620925 34670225 35395785 35435535 35979633 35989425 36531045 36583065 36783855 36836235 37143725 37390599 37400775 37443843 38017695 38644791 38912229 39508585 39564845 40115223 40160273 40392837 40788015 41688369 41747733 42387545 43086721 43384899 52911225 54686025 54986175 55064475 56766825 56830575 58992975 59059225 59966055 60381045 60885075 60971775 61306425 61377021 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17840169675 18134440515 18160263855 18433565307 18438582075 18561133233 18742723635 18872431065 19161663725 19455883155 19477732405 19913668641 20218858965 20552365917 20581632369 20694596823 20897059685 21388755207 22227529921 22914706827 26085233925 27108184275 29083536675 29284806825 29767855185 30224067525 30267106425 30722608845 30935222055 31237872725 31454051775 31891602285 31937015745 32426471925 33189447735 33698098275 33736902543 33970375917 34253943195 34302720615 34490994705 35059918329 35647925345 36393946137 37614707433 38191178045 39089793999 47673013725 47740899825 49613091975 51204348075 51558703425 53152670475 53228359575 53520509025 54403321545 54480791565 55300695921 55315746225 56228170905 56617293195 57089905325 57171201025 57484991175 58367649465 58433197215 60656576895 61657097751 61744897107 62083790469 62691179055 64166265621 65149656665 66224290177 66682589763 68744120481 81324552825 87250610025 90672202575 90801319275 92167826535 92805666165 93713618175 94362155325 97279415775 97388662025 99568343205 101094294825 101210707629 102761829585 102908161845 103472984115 104485298425 105179754987 106943776035 111137649605 112844122299 114573534135 117269381997 121202946173 148839275925 153613044225 154676110275 159458011425 159685078725 165947238675 168684512715 169851879585 171269715975 171513603075 172454973525 175299591645 178239626725 181969730685 184971293253 185234691321 188073537165 190955890225 192498796863 195448969995 198672870531 200047769289 206232361443 221508832661 272016607725 272403957825 276503479605 281140854525 283086465975 291838247325 292165986075 303282884475 308285488755 308724485535 310418952345 313455895275 315539264961 320831328105 325748283325 331121450885 333412948815 338532366897 343720602405 351808145991 363608838519 377868008657 460839132675 464028330825 497841716025 506053538145 513809147925 514540809225 517364920575 525898774935 534718880175 555688248025 564220611495 572867670675 577496390589 586346909985 596018611593 600143307867 606014730865 618697084329 664526497983 843422563575 849259397925 876497958225 909848653425 924856466265 926173456605 940367685825 962493984315 977244849975 993364352655 1000238846445 1031161807215 1055424437973 1090826515557 1107544163305 1133604025971 1382517398025 1541427443775 1543622427675 1552094761725 1577696324805 1604156640525 1655607254425 1667064744075 1692661834485 1718603012025 1759040729955 1788055834779 1800429923601 1818044192595 1889340043285 1993579493949 2530267690725 2629493874675 2821103057475 2887481952945 2931734549925 2980093057965 3000716539335 3030073654325 3093485421645 3272479546671 3322632489915 3400812077913 4624282331325 4630867283025 4812469921575 4966821763275 5001194232225 5155809036075 5277122189865 5364167504337 5454132577785 5537720816525 5668020129855 5980738481847 6423756147169 7888481624025 8463309172425 8795203649775 8940279173895 9002149618005 9090220962975 9446700216425 9817438640013 9967897469745 10202436233739 14437409764725 14900465289825 15003582696675 15467427108225 16362397733355 16613162449575 17004060389565 17942215445541 19271268441507 26385610949325 26820837521685 27270662888925 28340100649275 29903692409235 30607308701217 32118780735845 44701395869475 45010748090025 49087193200065 49839487348725 51012181168695 57813805324521 81811988666775 85020301947825 89711077227705 96356342207535 134104187608425 149518462046175 153036543506085 160593903679225 173441415973563 245435966000325 255060905843475 289069026622605 448555386138525 481781711037675 520324247920689 765182717530425 867207079867815 1445345133113025 2601621239603445 4336035399339075 13008106198017225
- Sum of all divisors σ(n): 27300363935371527
- Sum of proper divisors (its aliquot sum) s(n): 14292257737354302
- 13008106198017225 is an abundant number, because the sum of its proper divisors (14292257737354302) is greater than itself. Its abundance is 1284151539337077
Bases of 13008106198017225
- Binary: 1011100011011011001101101111010010001000100100110010012
- Hexadecimal: 0x2E36CDBD2224C9
- Base-36: 3K2ZLHMY7K9
Squares and roots of 13008106198017225
- 13008106198017225 squared (130081061980172252) is 169210826858894144462521396700625
- 13008106198017225 cubed (130081061980172253) is 2201112405634800448501476410767383744031918265625
-
13008106198017225 is a
perfect square number . Itssquare root is 114053085 -
The
cube root of 13008106198017225 is 235182.3313983087
Scales and comparisons
How big is 13008106198017225?- 13,008,106,198,017,225 seconds is equal to 413,617,540 years, 19 weeks, 6 days, 6 hours, 33 minutes, 45 seconds.
-
To count from 1 to 13,008,106,198,017,225 would take you about one billion, two hundred forty million, eight hundred fifty-two thousand, six hundred twenty-one 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 13008106198017225 cubic inches would be around 19598.5 feet tall.
Recreational maths with 13008106198017225
- 13008106198017225 backwards is 52271089160180031
- The number of decimal digits it has is: 17
- The sum of 13008106198017225's digits is 54
- More coming soon!
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"Number 13008106198017225 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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The information we have on file for 13008106198017225 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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