13007391731449212825
13,007,391,731,449,212,825 is an odd composite number composed of six prime numbers multiplied together.
What does the number 13007391731449212825 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
13007391731449212825 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13007391731449212825:
32 × 52 × 73 × 132 × 973 × 1033
(3 × 3 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 97 × 97 × 97 × 103 × 103 × 103)See below for interesting mathematical facts about the number 13007391731449212825 from the Numbermatics database.
Names of 13007391731449212825
- Cardinal: 13007391731449212825 can be written as Thirteen quintillion, seven quadrillion, three hundred ninety-one trillion, seven hundred thirty-one billion, four hundred forty-nine million, two hundred twelve thousand, eight hundred twenty-five.
Scientific notation
- Scientific notation: 1.3007391731449212825 × 1019
Factors of 13007391731449212825
Divisors of 13007391731449212825
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 3 5 7 9 13 15 21 25 35 39 45 49 63 65 75 91 97 103 105 117 147 169 175 195 225 245 273 291 309 315 325 343 441 455 485 507 515 525 585 637 679 721 735 819 845 873 927 975 1029 1183 1225 1261 1339 1365 1455 1521 1545 1575 1715 1911 2037 2163 2205 2275 2425 2535 2575 2925 3087 3185 3395 3549 3605 3675 3783 4017 4095 4225 4365 4459 4635 4753 5047 5145 5733 5915 6111 6305 6489 6695 6825 7275 7605 7725 8281 8575 8827 9373 9409 9555 9991 10185 10609 10647 10815 11025 11349 12051 12675 13377 14259 15141 15435 15925 16393 16975 17407 17745 18025 18915 20085 20475 21825 22295 23175 23765 24843 25235 25725 26481 28119 28227 28665 29575 29973 30555 31525 31827 32445 33271 33475 35329 38025 40131 41405 42777 44135 45423 46865 47045 47775 49179 49955 50925 52221 53045 53235 54075 56745 57967 60255 61789 65611 65863 66885 69937 71295 74263 74529 75705 77175 79443 81965 84357 84681 87035 88725 89919 94575 95481 99813 100425 105987 111475 114751 118825 121849 122317 124215 126175 129883 132405 137917 140595 141135 143325 147537 149865 152775 156663 159135 162225 166355 173901 176645 185367 196833 197589 200655 207025 209811 213885 220675 222789 227115 234325 235225 245895 249775 261105 265225 266175 283725 289835 299439 301275 308945 317961 328055 329315 334425 344253 349685 356475 365547 366951 371315 372645 378525 389649 397215 409825 413751 421785 423405 432523 435175 449595 459277 461041 477405 489559 499065 519841 521703 529935 556101 573755 590499 592767 609245 611585 621075 629433 649415 662025 668367 689585 702975 705675 737685 749325 783315 795675 803257 831775 852943 856219 869505 883225 909181 912673 926835 965419 969127 984165 987945 1003275 1029073 1032759 1049055 1069425 1092727 1096641 1100853 1113945 1135575 1168947 1229475 1241253 1297569 1305525 1377831 1383123 1449175 1468677 1497195 1544725 1559523 1589805 1590121 1640275 1646575 1688479 1721265 1748425 1792921 1827735 1834755 1856575 1863225 1948245 1986075 2068755 2108925 2117025 2162615 2247975 2296385 2305205 2387025 2409771 2447795 2495325 2558829 2568657 2599205 2608515 2649675 2727543 2738019 2780505 2868775 2896257 2907381 2952495 2963835 3046225 3057925 3087219 3147165 3227287 3247075 3278181 3341835 3426913 3447925 3638887 3688425 3892707 3916575 4016285 4133493 4149369 4264715 4281095 4347525 4406031 4545905 4563365 4634175 4678569 4770363 4827095 4845635 4920825 4939725 5065437 5145365 5163795 5245275 5378763 5463635 5483205 5504265 5569725 5622799 5844735 5970601 5993533 6206265 6364267 6388711 6487845 6757933 6783889 6889155 6915615 7203511 7229313 7343385 7485975 7649089 7676487 7705971 7797615 7949025 7950605 8182629 8214057 8442395 8606325 8688771 8722143 8964605 9138675 9173775 9261657 9681861 9741225 9834543 10280739 10343775 10813075 10916661 11130847 11481925 11526025 11819353 11864749 12048855 12238975 12550447 12598651 12794145 12843285 12996025 13042575 13377949 13637715 13690095 13902525 14205451 14311089 14481285 14536905 14762475 14819175 15196311 15436095 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7254860493825 7439490816849 7556879232105 7703614751175 7899665506551 7930006694883 8180127003825 8181752939165 8340621928275 8420522572917 8687840749835 8856536686725 8975721863439 9404363698275 9440484160575 9963341744853 10024431634425 10479242935525 10579630924947 11127443529475 11454454114831 11676870699585 11815739005525 11861121124825 11903606052975 12162977049769 12399151361415 12594798720175 12639911582025 12964931580523 13166109177585 13216677824805 13421761782975 13473312345675 14034204288195 14251973852025 14306713109325 14727155290497 14959536439065 15191664435675 15250012874775 15638113349703 16193312640225 16347618979419 16605569574755 17358811905981 17632718208245 18432552848619 18503348954727 18862637283945 19461451165975 19647886003473 20029398353055 20665252269025 20943351014691 21268330209945 21350018024685 21943515295975 22027796374675 22670637696315 23390340480325 24545258817495 24932560731775 25021865784825 26063522249505 26569610060175 27246031632365 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116684384224707 122726294087475 129523442683089 130317611247525 136230158161825 137535202024311 144656765883175 146603457102837 149450126172795 153604607071825 154194574622725 158694463874205 163732383362275 168544110546799 171816811722465 174527925122425 175153060493775 182444655746535 185987270421225 194473973707845 197491637663775 198250167372075 210513064322925 215872404471815 224393046585975 229225336707185 240543536411451 244339095171395 245214284691285 249083543621325 255422518045149 260382178589715 264490773123675 272263563190983 276488292729285 277550234320905 286361352870775 294718290052095 304074426244225 314150265220365 324123289513075 342074733239953 368178882262425 388570328049267 390952833742575 400905894019085 408690474485475 412605606072933 425704196741915 433970297649525 439810371308511 453772605318305 460813821215475 462583723868175 491197150086825 505632331640397 515450435167395 523583775367275 547333967239605 561268251626719 583421921123535 595985875438681 635281647445627 647617213415445 687676010121555 721630609234353 733017285514185 747250630863975 766267554135447 793472319371025 816790689572949 842720552733995 859084058612325 912223278732675 972369868539225 1026224199719859 1079362022359075 1146126683535925 1179808773827593 1202717682057255 1221695475856975 1226071423456425 1277112590225745 1301910892948575 1361317815954915 1382441463646425 1387751171604525 1473591450260475 1516896994921191 1570751326101825 1683804754880157 1710373666199765 1787957626316043 1905844942336881 1942851640246335 2004529470095425 2063028030364665 2128520983709575 2199051856542555 2268863026591525 2528161658201985 2577252175836975 2736669836198025 2806341258133595 2917109605617675 2979929377193405 3078672599159577 3176408237228135 3238086067077225 3438380050607775 3539426321482779 3608153046171765 3665086427570925 3831337770677235 4083953447864745 4213602763669975 4446971532119389 5051414264640471 5131120998599295 5363872878948129 5717534827010643 5899043869137965 6013588410286275 6385562951128725 6806589079774575 7584484974605955 8258661416793151 8419023774400785 8551868330998825 8939788131580215 9529224711684405 9714258201231675 10315140151823325 10618278964448337 10995259282712775 12640808291009925 13340914596358167 14031706290667975 14899646885967025 15393362995797885 15882041186140675 17697131607413895 18040765230858825 19156688853386175 20419767239323725 22234857660596945 24775984250379453 25257071323202355 25655604992996475 26819364394740645 28587674135053215 29495219345689825 37922424873029775 40022743789074501 41293307083965755 42095118872003925 44698940657901075 47646123558422025 53091394822241685 57810629917552057 66704572981790835 74327952751138359 76966814978989425 88485658037069475 111174288302984725 123879921251897265 126285356616011775 134096821973703225 142938370675266075 173431889752656171 200113718945372505 206466535419828775 265456974111208425 289053149587760285 333522864908954175 371639763755691795 520295669257968513 619399606259486325 867159448763280855 1000568594726862525 1445265747938801425 1858198818778458975 2601478346289842565 4335797243816404275 13007391731449212825
- Sum of all divisors σ(n): 30017916798280320000
- Sum of proper divisors (its aliquot sum) s(n): 17010525066831107175
- 13007391731449212825 is an abundant number, because the sum of its proper divisors (17010525066831107175) is greater than itself. Its abundance is 4003133335381894350
Bases of 13007391731449212825
- Binary: 10110100100000111000100111011101000101110110001000101111100110012
- Hexadecimal: 0xB48389DD17622F99
- Base-36: 2QTNZJOIQNYC9
Squares and roots of 13007391731449212825
- 13007391731449212825 squared (130073917314492128252) is 169192239655373350731930092312144480625
- 13007391731449212825 cubed (130073917314492128253) is 2200749739118676935971937569723060922628963915824714015625
-
The
square root of 13007391731449212825 is 3606576178.5174055609 -
The
cube root of 13007391731449212825 is 2351780.2554504467
Scales and comparisons
How big is 13007391731449212825?- 13,007,391,731,449,212,825 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 13,007,391,731,449,212,825 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 13007391731449212825 cubic inches would be around 195981.7 feet tall.
Recreational maths with 13007391731449212825
- 13007391731449212825 backwards is 52821294413719370031
- The number of decimal digits it has is: 20
- The sum of 13007391731449212825's digits is 72
- More coming soon!
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The information we have on file for 13007391731449212825 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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