138838285265625
138,838,285,265,625 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138838285265625 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
138838285265625 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138838285265625:
32 × 56 × 11 × 19 × 292 × 41 × 137
(3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 19 × 29 × 29 × 41 × 137)See below for interesting mathematical facts about the number 138838285265625 from the Numbermatics database.
Names of 138838285265625
- Cardinal: 138838285265625 can be written as One hundred thirty-eight trillion, eight hundred thirty-eight billion, two hundred eighty-five million, two hundred sixty-five thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.38838285265625 × 1014
Factors of 138838285265625
Divisors of 138838285265625
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 3 5 9 11 15 19 25 29 33 41 45 55 57 75 87 95 99 123 125 137 145 165 171 205 209 225 261 275 285 319 369 375 411 435 451 475 495 551 615 625 627 685 725 779 825 841 855 957 1025 1045 1125 1189 1233 1305 1353 1375 1425 1507 1595 1653 1845 1875 1881 2055 2175 2255 2337 2375 2475 2523 2603 2755 2871 3075 3125 3135 3425 3567 3625 3895 3973 4059 4125 4205 4275 4521 4785 4959 5125 5225 5617 5625 5945 6061 6165 6525 6765 6875 7011 7125 7535 7569 7809 7975 8265 8569 9225 9251 9375 9405 10275 10701 10875 11275 11685 11875 11919 12375 12615 13015 13079 13563 13775 14355 15375 15625 15675 15979 16851 17125 17835 18125 18183 19475 19865 20295 20625 21025 21375 22591 22605 23427 23925 24795 25625 25707 26125 27753 28085 28125 28633 29725 30305 30825 32625 33825 34375 34481 35055 35625 35757 37675 37845 39045 39237 39875 41325 42845 43703 46125 46255 46875 47025 47937 50553 51375 53505 54375 54549 56375 58425 59375 59595 61787 61875 63075 65075 65395 67773 67815 68875 71775 75487 76875 77121 78375 79895 83259 84255 85625 85899 89175 90625 90915 97375 99325 101475 103125 103443 105125 106723 106875 112955 113025 115217 117135 117711 119625 123975 128125 128535 130625 131109 138765 140425 140625 143165 143811 148625 151525 154125 162893 163125 169125 171875 172405 175275 175769 178125 178785 185361 188375 189225 195225 196185 199375 203319 206625 214225 218515 226461 230625 231275 235125 239685 248501 252765 256875 257697 267525 271875 272745 281875 292125 296875 297975 308935 309375 310329 315375 320169 325375 326975 338865 339075 344375 345651 358875 377435 379291 384375 385605 391875 393327 399475 416295 421275 428125 429495 445875 453125 454575 486875 488679 496625 507375 515625 517215 525625 527307 533615 534375 556083 564775 565125 576085 585675 588555 598125 619875 640625 642675 653125 655139 655545 679383 693825 702125 715825 719055 743125 745503 757625 770625 814465 815625 830357 845625 862025 876375 878845 890625 893925 926805 941875 946125 960507 976125 980925 996875 1016595 1033125 1036953 1071125 1092575 1132305 1137873 1153125 1156375 1173953 1175625 1198425 1242505 1263825 1267387 1284375 1288485 1337625 1359375 1363725 1409375 1460625 1466037 1489875 1544675 1546875 1551645 1576875 1581921 1600845 1626875 1634875 1694325 1695375 1721875 1728255 1791823 1794375 1887175 1896455 1921875 1928025 1959375 1965417 1966635 1997375 2081475 2106375 2140625 2147475 2189123 2229375 2236509 2272875 2434375 2443395 2483125 2491071 2536875 2586075 2628125 2636535 2668075 2671875 2780415 2823875 2825625 2880425 2928375 2942775 2990625 3094967 3099375 3213375 3265625 3275695 3277725 3396915 3413619 3469125 3510625 3521859 3579125 3595275 3715625 3727515 3788125 3802161 3853125 4072325 4078125 4151785 4228125 4310125 4381875 4394225 4469625 4634025 4709375 4723897 4730625 4802535 4880625 4904625 4984375 5082975 5165625 5184765 5355625 5375469 5462875 5661525 5689365 5765625 5781875 5869765 5878125 5896251 5992125 6212525 6319125 6336935 6421875 6442425 6567369 6688125 6818625 7046875 7206529 7303125 7330185 7449375 7473213 7723375 7758225 7884375 7909605 8004225 8134375 8174375 8471625 8476875 8609375 8641275 8959115 8971875 9284901 9435875 9482275 9640125 9796875 9827085 9833175 9986875 10407375 10531875 10565577 10737375 10945615 11146875 11182545 11364375 11406483 12171875 12216975 12415625 12455355 12684375 12930375 13140625 13182675 13340375 13902075 14119375 14128125 14171691 14402125 14641875 14713875 14953125 15474835 15496875 16066875 16126407 16378475 16388625 16984575 17068095 17345625 17553125 17609295 17895625 17976375 18578125 18637575 18940625 19010805 19265625 19702107 20361625 20758925 21140625 21550625 21619587 21909375 21971125 22348125 23170125 23546875 23619485 23653125 24012675 24080353 24403125 24523125 25414875 25828125 25923825 26778125 26877345 27314375 27854703 28307625 28446825 28909375 29348825 29390625 29481255 29960625 31062625 31595625 31684675 32212125 32836845 33440625 34044637 34093125 36032645 36515625 36650925 37246875 37366065 38616875 38791125 39421875 39548025 40021125 40671875 40871875 42358125 42384375 42515073 43206375 44795575 44859375 46424505 47179375 47411375 48200625 49135425 49165875 49934375 51962867 52036875 52659375 52827885 53686875 54728075 55734375 55912725 56821875 57032415 61084875 62078125 62276775 63421875 64651875 64858761 65913375 66701875 69510375 70596875 70640625 70858455 72010625 72241059 73209375 73569375 77374175 77484375 80334375 80632035 81892375 81943125 84922875 85340475 86728125 87765625 88046475 89478125 89754043 89881875 93187875 94703125 95054025 98510535 101808125 102133911 103794625 107753125 108097935 109546875 109855625 111740625 115850625 118097425 118265625 120063375 120401765 122015625 122615625 127074375 129619125 133890625 134386725 136571875 139273515 141538125 142234125 144546875 146744125 147406275 149803125 155313125 155888601 157978125 158423375 161060625 164184225 167203125 170223185 170465625 180163225 183254625 186234375 186830325 193084375 193955625 197740125 200105625 204359375 211790625 211921875 212575365 216031875 216723177 223977875 232122525 235896875 237056875 241003125 245677125 245829375 249671875 259814335 260184375 263296875 264139425 268434375 269262129 273640375 279563625 284109375 285162075 305424375 306401733 311383875 323259375 324293805 329566875 333509375 347551875 352984375 354292275 360053125 361205295 366046875 367846875 386870875 401671875 403160175 409461875 409715625 424614375 426702375 433640625 440232375 447390625 448770215 449409375 465939375 467665803 475270125 492552675 509040625 510669555 518973125 538765625 540489675 549278125 558703125 579253125 590487125 600316875 602008825 613078125 635371875 648095625 671933625 682859375 696367575 707690625 711170625 733720625 737031375 749015625 776565625 779443005 789890625 792116875 805303125 807786387 820921125 851115925 852328125 900816125 916273125 934151625 965421875 969778125 987294473 988700625 1000528125 1058953125 1062876825 1080159375 1083615885 1119889375 1160612625 1179484375 1185284375 1205015625 1228385625 1229146875 1299071675 1300921875 1320697125 1342171875 1346310645 1368201875 1397818125 1425810375 1527121875 1532008665 1556919375 1616296875 1621469025 1647834375 1667546875 1737759375 1771461375 1800265625 1806026475 1839234375 1934354375 2015800875 2047309375 2048578125 2123071875 2133511875 2201161875 2243851075 2247046875 2329696875 2338329015 2376350625 2462763375 2545203125 2553347775 2594865625 2702448375 2746390625 2896265625 2952435625 2961883419 3001584375 3010044125 3176859375 3240478125 3359668125 3481837875 3538453125 3555853125 3668603125 3685156875 3882828125 3897215025 3960584375 4026515625 4038931935 4104605625 4255579625 4504080625 4581365625 4670758125 4848890625 4936472365 4943503125 5002640625 5314384125 5400796875 5418079425 5599446875 5803063125 5926421875 6141928125 6145734375 6495358375 6603485625 6731553225 6841009375 6989090625 7129051875 7635609375 7660043325 7784596875 8107345125 8239171875 8688796875 8857306875 8885650257 9030132375 9671771875 10079004375 10236546875 10615359375 10667559375 11005809375 11219255375 11648484375 11691645075 11881753125 12313816875 12766738875 12974328125 13512241875 14762178125 14809417095 15007921875 15050220625 16202390625 16798340625 17409189375 17779265625 18343015625 18425784375 19486075125 19802921875 20194659675 20523028125 21277898125 22520403125 22906828125 23353790625 24682361825 24717515625 26571920625 27090397125 27997234375 29015315625 30709640625 32476791875 33017428125 33657766125 34205046875 34945453125 35645259375 38300216625 38922984375 40536725625 44286534375 44428251285 45150661875 48358859375 50395021875 53337796875 55029046875 56096276875 58458225375 59408765625 61569084375 63833694375 67561209375 73810890625 74047085475 75251103125 83991703125 87045946875 92128921875 97430375625 100973298375 102615140625 106389490625 112602015625 116768953125 123411809125 132859603125 135451985625 145076578125 162383959375 165087140625 168288830625 178226296875 191501083125 202683628125 221432671875 222141256425 225753309375 251975109375 280481384375 292291126875 307845421875 319168471875 337806046875 370235427375 376255515625 435229734375 487151878125 504866491875 531947453125 617059045625 664298015625 677259928125 811919796875 841444153125 957505415625 1013418140625 1110706282125 1128766546875 1402406921875 1461455634375 1595842359375 1851177136875 2435759390625 2524332459375 3085295228125 3386299640625 4207220765625 4787527078125 5553531410625 7307278171875 9255885684375 12621662296875 15426476140625 27767657053125 46279428421875 138838285265625
- Sum of all divisors σ(n): 307627818563520
- Sum of proper divisors (its aliquot sum) s(n): 168789533297895
- 138838285265625 is an abundant number, because the sum of its proper divisors (168789533297895) is greater than itself. Its abundance is 29951248032270
Bases of 138838285265625
- Binary: 111111001000101110011101010110010101010110110012
- Hexadecimal: 0x7E45CEACAAD9
- Base-36: 1D7PFECK49
Squares and roots of 138838285265625
- 138838285265625 squared (1388382852656252) is 19276069455499063976806640625
- 138838285265625 cubed (1388382852656253) is 2676256429862579810762052629825592041015625
-
The
square root of 138838285265625 is 11782965.8942740303 -
The
cube root of 138838285265625 is 51780.9181796345
Scales and comparisons
How big is 138838285265625?- 138,838,285,265,625 seconds is equal to 4,414,628 years, 5 days, 23 hours, 33 minutes, 45 seconds.
-
To count from 1 to 138,838,285,265,625 would take you about eleven million, thirty-six thousand, five hundred seventy 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 138838285265625 cubic inches would be around 4315.1 feet tall.
Recreational maths with 138838285265625
- 138838285265625 backwards is 526562582838831
- The number of decimal digits it has is: 15
- The sum of 138838285265625's digits is 72
- More coming soon!
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"Number 138838285265625 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 138838285265625 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138838285265625/
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The information we have on file for 138838285265625 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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