138808003967325
138,808,003,967,325 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138808003967325 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138808003967325 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138808003967325:
35 × 52 × 7 × 11 × 233 × 293
(3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 11 × 23 × 23 × 23 × 29 × 29 × 29)See below for interesting mathematical facts about the number 138808003967325 from the Numbermatics database.
Names of 138808003967325
- Cardinal: 138808003967325 can be written as One hundred thirty-eight trillion, eight hundred eight billion, three million, nine hundred sixty-seven thousand, three hundred twenty-five.
Scientific notation
- Scientific notation: 1.38808003967325 × 1014
Factors of 138808003967325
Divisors of 138808003967325
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 3 5 7 9 11 15 21 23 25 27 29 33 35 45 55 63 69 75 77 81 87 99 105 115 135 145 161 165 175 189 203 207 225 231 243 253 261 275 297 315 319 345 385 405 435 483 495 525 529 567 575 609 621 667 675 693 725 759 783 805 825 841 891 945 957 1015 1035 1155 1215 1265 1305 1449 1485 1575 1587 1595 1701 1725 1771 1827 1863 1925 2001 2025 2079 2175 2233 2277 2349 2415 2475 2523 2645 2673 2835 2871 3045 3105 3335 3465 3703 3795 3915 4025 4205 4347 4455 4669 4725 4761 4785 5075 5175 5313 5481 5589 5775 5819 5887 6003 6075 6237 6325 6525 6699 6831 7047 7245 7337 7425 7569 7935 7975 8505 8613 8855 9135 9251 9315 10005 10395 11109 11165 11385 11745 12075 12167 12615 13041 13225 13365 14007 14175 14283 14355 15225 15341 15525 15939 16443 16675 17325 17457 17661 18009 18515 18711 18975 19343 19575 20097 20493 21025 21735 22011 22275 22707 23345 23805 23925 24389 25839 26565 27405 27753 27945 29095 29435 30015 31185 33327 33495 34155 35235 36225 36501 36685 37845 39123 39675 40733 42021 42525 42849 43065 44275 45675 46023 46255 46575 47817 49329 50025 51359 51975 52371 52983 54027 55545 55825 56925 58029 58725 60291 60835 61479 63075 64757 65205 66033 66825 68121 70035 71415 71775 73167 76705 77517 79695 82215 83259 85169 87285 88305 90045 92575 93555 96715 99981 100485 102465 107387 108675 109503 110055 113535 116725 119025 121945 122199 126063 128547 129195 132825 133837 135401 137025 138069 138765 139725 143451 145475 147175 150075 154077 155925 157113 158949 162081 166635 167475 168751 170723 170775 174087 176175 180873 182505 183425 189225 194271 195615 198099 203665 204363 210105 212773 214245 215325 219501 230115 231275 239085 246645 249777 255507 256795 261855 264915 268279 270135 277725 290145 299943 301455 304175 307395 322161 323785 326025 328509 330165 340605 350175 352843 357075 365835 366597 378189 383525 387585 398475 401511 406203 411075 414207 416295 425845 430353 436425 441525 444889 450225 462231 467775 471339 476847 483575 499905 502425 506253 512169 512325 522261 536935 542619 547515 550275 560947 567675 582813 594297 609725 610995 630315 638319 642735 645975 658503 669185 677005 690345 693825 717255 749331 766521 770385 785565 794745 804837 810405 833175 843755 853615 870435 899829 904365 912525 936859 966483 971355 978075 985527 990495 1018325 1021815 1050525 1058529 1063865 1071225 1097505 1099791 1134567 1150575 1181257 1195425 1204533 1218609 1233225 1242621 1248885 1277535 1283975 1309275 1324575 1334667 1341395 1350675 1386693 1414017 1430541 1450725 1489411 1499715 1507275 1518759 1536507 1536975 1566783 1610805 1618925 1642545 1650825 1682841 1703025 1748439 1764215 1782891 1829175 1832985 1877953 1890945 1914957 1937925 1975509 2007555 2031015 2071035 2081475 2129225 2151765 2224445 2247993 2299563 2311155 2356695 2384235 2414511 2469901 2499525 2531265 2560845 2611305 2684675 2713095 2737575 2804735 2810577 2899449 2914065 2956581 2971485 3054975 3114223 3151575 3175587 3191595 3213675 3292515 3299373 3345925 3385025 3451725 3543771 3586275 3613599 3655827 3727863 3746655 3832605 3851925 3881273 3926629 3927825 3973725 4004001 4024185 4052025 4160079 4218775 4268075 4352175 4468233 4499145 4521825 4556277 4609521 4684295 4700349 4832415 4856775 4893779 4927635 4952475 5048523 5109075 5245317 5292645 5319325 5487525 5498955 5633859 5672835 5744871 5906285 5926527 6022665 6093045 6170417 6213105 6244425 6387675 6673335 6706975 6898689 6933465 7070085 7152705 7243533 7409703 7447055 7498575 7593795 7682535 7833915 8054025 8212725 8414205 8431731 8698347 8742195 8821075 8914455 9164925 9342669 9389765 9454725 9526761 9574785 9877545 9898119 10037775 10155075 10232447 10355175 10631313 10758825 10840797 10967481 11122225 11239965 11497815 11555775 11643819 11779887 11783475 11921175 12012003 12072555 12349505 12480237 12656325 12804225 12901781 13056525 13404699 13565475 13668831 13828563 14023675 14052885 14497245 14570325 14681337 14782905 14857425 15145569 15571115 15735951 15877935 15957975 16462575 16496865 16901577 17234613 17718855 18067995 18279135 18511251 18639315 18733275 19163025 19406365 19633145 20020005 20120925 20696067 20800395 21730599 22229109 22341165 22495725 22781385 23047605 23421475 23501745 24162075 24468895 24638175 25242615 25295193 26095041 26226585 26463225 27168911 27494775 28028007 28169295 28364175 28580283 28724355 29531425 29632635 30113325 30465225 30697341 30852085 31065525 31893939 32522391 32902443 33366675 34256453 34493445 34667325 34931457 35339661 35350425 35763525 36036009 36217665 37048515 37235275 37968975 38412675 38705343 39169575 40214097 41006493 41485689 42071025 42158655 43192919 43491735 43710975 44044011 44572275 45436707 46713345 46948825 47633805 47873925 49387725 49490595 50704731 51162235 51703839 53156565 54203985 54837405 55533753 56199825 57489075 58219095 58899435 60060015 60362775 61747525 62401185 64508905 65191797 66687327 67023495 68344155 69142815 70264425 71627129 72486225 73406685 73914525 75727845 75885579 77855575 78679755 79389675 81506733 82484325 84084021 84507885 85740849 86173065 88594275 90312467 90339975 91395675 92092023 92556255 93196575 95681817 97031825 98165725 100100025 102769359 103480335 104001975 104794371 106018983 108108027 108652995 111145545 111705825 112556917 113906925 115238025 116116029 117508725 120642291 122344475 126213075 126475965 129578757 130475205 131132925 132132033 135844555 136310121 140140035 140846475 141919591 142901415 143621775 148163175 152114193 153486705 154260425 159469695 162611955 164512215 166601259 171282265 172467225 174657285 176698305 180180045 181088325 185242575 193526715 200061981 201070485 205032465 207428445 210793275 214881387 215964595 217458675 220220055 227183535 227656737 233566725 238169025 244520199 247452975 252252063 253523655 255811175 258519195 265782825 270937401 271019925 274187025 276276069 277668765 287045451 291095475 294497175 296740963 300300075 308308077 312005925 314383113 318056949 322544525 325958985 333436635 335117475 337670751 341720775 345714075 348348087 358135645 361926873 367033425 378639225 379427895 388736271 393398775 396396099 407533665 420420105 422539425 425758773 428704245 430865325 451562335 456342579 460460115 462781275 478409085 499803777 513846795 517401675 523971855 530094915 540540135 543264975 555727725 562784585 580580145 600185943 603211455 632379825 644644161 647893785 652376025 660660165 679222775 681550605 700700175 709597955 714507075 733560597 756756189 760570965 767433525 787898419 797348475 812812203 813059775 822561075 828828207 833006295 856411325 873286425 883491525 890222889 900900225 924924231 943149339 954170847 967633575 993437137 1000309905 1005352425 1013012253 1025162325 1037142225 1045044261 1074406935 1079822975 1101100275 1135917675 1138283685 1166208813 1189188297 1222600995 1261260315 1267618275 1277276319 1292595975 1354687005 1381380345 1388343825 1435227255 1483704815 1499411331 1541540385 1571915565 1590284745 1629794925 1667183175 1688353755 1741740435 1790678225 1809634365 1897139475 1933932483 1943681355 1981980495 2037668325 2077186741 2102100525 2128793865 2143521225 2200681791 2257811675 2281712895 2302300575 2363695257 2392045425 2438436609 2486484621 2499018885 2569233975 2619859275 2650474575 2670668667 2702700675 2774772693 2813922925 2902900725 2980311411 3000929715 3016057275 3039036759 3135132783 3223220805 3239468925 3264150593 3303300825 3407753025 3498626439 3547989775 3667802985 3783780945 3802854825 3831828957 3939492095 4064061015 4144141035 4165031475 4451114445 4624621155 4715746695 4770854235 4967185685 5001549525 5065061265 5225221305 5372034675 5691418425 5801797449 5831044065 5945941485 6113004975 6231560223 6306301575 6386381595 6602045373 6773435025 6906901725 7091085771 7176136275 7315309827 7418524075 7497056655 7707701925 7859577825 7951423725 8012006001 8324318079 8441768775 8708702175 8940934233 9048171825 9117110277 9669662415 9718406775 9792451779 9909902475 10385933705 10495879317 10643969325 11003408955 11408564475 11495486871 11818476285 12192183045 12432423105 12495094425 13353343335 13873863465 14901557055 15004648575 15195183795 15675663915 16116104025 16320752965 17405392347 17493132195 18339014925 18694680669 18918904725 19159144785 19697460475 20320305075 20720705175 21273257313 21945929481 22255572225 22849054151 23123105775 23578733475 23854271175 24036018003 24835928425 25325306325 26126106525 26822802699 27351330831 29008987245 29155220325 29377355337 29729707425 31157801115 31931907975 33010226865 34486460613 35455428855 36576549135 37485283275 40060030005 41621590395 44704671165 45585551385 48348312075 48962258895 51929668525 52479396585 55017044775 56084042007 57477434355 59092381425 60960915225 62162115525 63819771939 66766716675 68547162453 69369317325 72108054009 74507785275 75975918975 78378319575 80468408097 81603764825 87026961735 87465660975 88132066011 93473403345 95795723925 106366286565 109729647405 114245270755 120180090015 134114013495 136756654155 145044936225 146886776685 155789005575 165051134325 168252126021 172432303065 177277144275 182882745675 191459315817 200300150025 205641487359 208107951975 223523355825 227927756925 241405224291 244811294475 262396982925 264396198033 280420210035 287387171775 319098859695 342735812265 360540270045 402342040485 435134808675 440660330055 467367016725 504756378063 531831432825 548648237025 571226353775 600900450075 616924462077 670570067475 683783270775 734433883425 793188594099 841260630105 862161515325 957296579085 1028207436795 1207026121455 1321980990165 1402101050175 1595494298475 1713679061325 1802701350225 1850773386231 2011710202425 2203301650275 2523781890315 3084622310385 3965942970495 4206303150525 4786482895425 5141037183975 5552320158693 6035130607275 6609904950825 9253866931155 12618909451575 15423111551925 19829714852475 27761600793465 46269334655775 138808003967325
- Sum of all divisors σ(n): 348060522700800
- Sum of proper divisors (its aliquot sum) s(n): 209252518733475
- 138808003967325 is an abundant number, because the sum of its proper divisors (209252518733475) is greater than itself. Its abundance is 70444514766150
Bases of 138808003967325
- Binary: 111111000111110110000011100010010111001010111012
- Hexadecimal: 0x7E3EC1C4B95D
- Base-36: 1D7BILN8T9
Squares and roots of 138808003967325
- 138808003967325 squared (1388080039673252) is 19267661965392912939667655625
- 138808003967325 cubed (1388080039673253) is 2674505698533336466181826270361981852453125
-
The
square root of 138808003967325 is 11781680.8634135477 -
The
cube root of 138808003967325 is 51777.1533500797
Scales and comparisons
How big is 138808003967325?- 138,808,003,967,325 seconds is equal to 4,413,665 years, 8 weeks, 3 days, 23 hours, 48 minutes, 45 seconds.
-
To count from 1 to 138,808,003,967,325 would take you about eleven million, thirty-four thousand, one hundred sixty-two 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 138808003967325 cubic inches would be around 4314.8 feet tall.
Recreational maths with 138808003967325
- 138808003967325 backwards is 523769300808831
- 138808003967325 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138808003967325's digits is 63
- More coming soon!
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The information we have on file for 138808003967325 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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