138097528428825
138,097,528,428,825 is an odd composite number composed of eight prime numbers multiplied together.
What does the number 138097528428825 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 864 divisors.
138097528428825 is an odd composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138097528428825:
32 × 52 × 7 × 17 × 292 × 31 × 181 × 1093
(3 × 3 × 5 × 5 × 7 × 17 × 29 × 29 × 31 × 181 × 1093)See below for interesting mathematical facts about the number 138097528428825 from the Numbermatics database.
Names of 138097528428825
- Cardinal: 138097528428825 can be written as One hundred thirty-eight trillion, ninety-seven billion, five hundred twenty-eight million, four hundred twenty-eight thousand, eight hundred twenty-five.
Scientific notation
- Scientific notation: 1.38097528428825 × 1014
Factors of 138097528428825
Divisors of 138097528428825
- Number of divisors d(n): 864
-
Complete list of divisors:
1 3 5 7 9 15 17 21 25 29 31 35 45 51 63 75 85 87 93 105 119 145 153 155 175 181 203 217 225 255 261 279 315 357 425 435 465 493 525 527 543 595 609 651 725 765 775 841 899 905 1015 1071 1085 1093 1267 1275 1305 1395 1479 1575 1581 1629 1785 1827 1953 2175 2325 2465 2523 2635 2697 2715 2975 3045 3077 3255 3279 3451 3689 3801 3825 4205 4437 4495 4525 4743 5075 5249 5355 5425 5465 5611 5887 6293 6335 6525 6975 7395 7569 7651 7905 8091 8145 8925 9135 9231 9765 9837 10353 11067 11403 12325 12615 13175 13485 13575 14297 15225 15283 15385 15747 16275 16395 16833 17255 17661 18445 18581 18879 19005 21025 21539 22185 22475 22953 23715 26071 26245 26775 27325 27693 28055 29435 31059 31465 31675 31697 33201 33883 36743 36975 37845 38255 39277 39525 40455 40725 42891 45675 45849 46155 47241 48825 49185 50499 51765 52983 55335 55743 56637 57015 63075 64617 67425 68859 71485 76415 76925 78213 78735 81975 84165 86275 88305 89233 92225 92905 94395 95025 95091 95387 100079 101649 106981 107695 110229 110925 114765 117831 118575 128673 130067 130355 131225 137547 138465 140275 147175 152221 155295 157325 158485 162719 166005 167229 169415 182497 183715 189225 191275 193851 196385 197833 202275 214455 221879 229245 230775 234639 236205 237181 245925 252495 258825 264915 267699 276675 278715 283185 285075 285273 286161 300237 304947 320943 323085 330687 344295 353493 357425 382075 390201 391065 393675 420825 441525 443207 446165 456663 464525 471975 475455 476935 488157 500395 508245 534905 538475 538849 547491 551145 573825 576011 589155 593499 624631 643365 650335 651775 665637 667709 687735 692325 711543 761105 776475 792425 803097 813595 830025 836145 847075 858483 900711 912485 918575 919213 962829 969255 981925 982607 989165 1065547 1072275 1109395 1139033 1146225 1170603 1173195 1181025 1185905 1262475 1324575 1329621 1338495 1369989 1384831 1393575 1415925 1426365 1430805 1464471 1501185 1524735 1604715 1615425 1616547 1642473 1653435 1721475 1728033 1767465 1780497 1873893 1951005 1955325 1996911 2003127 2134629 2216035 2230825 2283315 2377275 2384675 2440785 2501975 2541225 2587757 2674525 2694245 2737455 2755725 2757639 2766223 2880055 2945775 2947821 2967495 3102449 3123155 3196641 3216825 3251675 3328185 3338545 3363161 3417099 3438675 3557715 3771943 3805525 3988863 4015485 4032077 4067975 4154493 4180725 4292415 4503555 4562425 4596065 4718851 4814145 4846275 4849641 4913035 4945825 5184099 5327735 5546975 5621679 5695165 5737157 5853015 5865975 5929525 6009381 6132823 6434491 6648105 6692475 6849945 6878249 6924155 7131825 7154025 7322355 7505925 7623675 7763271 8023575 8082735 8212365 8267175 8272917 8298669 8640165 8837325 8843463 8902485 9307347 9369465 9589923 9755025 9984555 10015635 10089483 10251297 10673145 11080175 11315829 11416575 12096231 12203925 12463479 12938785 13471225 13687275 13788195 13831115 14156553 14400275 14739105 14837475 15512245 15615775 15626621 15983205 16640925 16692725 16704319 16815805 17085495 17211471 17788575 18114299 18398469 18859715 19303473 19363561 19944315 20077425 20160385 20634747 20772465 21462075 22517775 22980325 23289813 23542127 23594255 24070725 24248205 24565175 24896007 25920495 26638675 27922041 28108395 28475825 28495603 28685785 29265075 30046905 30268449 30664115 32172455 33031957 33240525 33947487 34249725 34391245 34620775 36288693 36611775 38816355 40160099 40413675 41061825 41364585 41493345 42469659 42929761 43200825 44217315 44512425 46536735 46847325 46879863 47949615 49922775 50078175 50112957 50447415 51256485 51634413 53365725 54342897 55195407 56579145 57910419 58090683 60481155 61904241 62317395 64693925 68940975 69155575 70626381 70782765 73695525 77561225 78133105 79916025 80220467 83521595 84079025 85427475 85486809 86057355 90571495 91992345 94298575 96517365 96817805 97531669 99095871 99721575 100801925 103173735 103862325 104257991 109386347 116449065 116930233 117710635 117971275 120480297 121241025 124480035 128789283 129602475 139610205 140541975 140639589 142478015 143428925 150234525 150338871 151342245 153320575 160862275 163028691 165159785 166377553 169737435 171956225 174272049 177851867 181443465 194081775 199469221 200800495 206822925 207466725 211879143 212348295 214648805 221086575 232683675 234399315 239748075 240661401 250564785 252237075 256282425 256460427 258172065 271714485 275977035 282895725 289552095 290453415 292595007 297287613 302405775 309521205 311586975 312773973 328159041 350790699 353131905 353913825 361440891 386367849 390665525 401102335 417607975 427434045 430286775 452857475 459961725 482586825 484089025 484425251 487658345 495479355 499132659 515868675 521289955 533555601 546931735 561543269 582245325 584651165 588553175 598407663 602401485 622400175 643946415 682721683 698051025 703197945 712390075 721984203 729805937 751694355 756711225 815143455 825798925 831887765 848687175 871360245 877785021 889259335 907217325 938321919 984477123 997346105 1004002475 1052372097 1059395715 1061741475 1073244025 1164642871 1171996575 1203307005 1244963069 1252823925 1282302135 1290860325 1358572425 1379885175 1447760475 1452267075 1453275753 1462975035 1486438065 1497397977 1547606025 1563869865 1600666803 1640795205 1684629807 1753953495 1765659525 1795222989 1807204455 1931839245 2005511675 2048165049 2137170225 2189417811 2422126255 2438291725 2477396775 2495663295 2606449775 2667778005 2734658675 2807716345 2828418401 2923255825 2992038315 3012007425 3023481739 3219732075 3390976757 3413608415 3493928613 3515989725 3609921015 3649029685 3734889207 3758471775 4075717275 4159438825 4356801225 4359827259 4388925105 4446296675 4691609595 4922385615 4986730525 5053889421 5157704143 5261860485 5296978575 5823214355 6016535025 6144495147 6224815345 6411510675 6568253433 7266378765 7314875175 7432190325 7486989885 7819349325 8003334015 8203976025 8423149035 8485255203 8769767475 8976114945 9036022275 9070445217 9659196225 10172930271 10240825245 10481785839 10947089055 11204667621 12110631275 12478316475 13338890025 14038581725 14142092005 14960191575 15117408695 15473112429 16954883785 17068042075 17469643065 18049605075 18245148425 18674446035 19798928807 21164372173 21799136295 21944625525 23458047975 24611928075 25269447105 25455765609 25788520715 26309302425 27211335651 29116071775 30518790813 30722475735 31124076725 32841267165 36103929001 36331893825 37434949425 40016670075 42115745175 42426276015 44880574725 45352226085 46419337287 50864651355 51204126225 52408929195 54735445275 56023338105 59396786421 63493116519 70710460025 75587043475 77365562145 84774418925 87348215325 87680970431 93372230175 98994644035 105821860865 108311787003 108995681475 126347235525 127278828045 128942603575 136056678255 152593954065 153612378675 164206335825 178190359263 180519645005 190479349557 212131380075 226761130425 232096686435 254323256775 262044645975 263042911293 280116690525 296983932105 317465582595 324935361009 386827810725 438404852155 494973220175 529109304325 541558935015 613766793017 636394140225 680283391275 762969770325 789128733879 890951796315 902598225025 952396747785 1160483432175 1315214556465 1484919660525 1587327912975 1624676805045 1841300379051 2192024260775 2707794675075 3068833965085 3945643669395 4454758981575 4761983738925 5523901137153 6576072782325 8123384025225 9206501895255 15344169825425 19728218346975 27619505685765 46032509476275 138097528428825
- Sum of all divisors σ(n): 322050799429632
- Sum of proper divisors (its aliquot sum) s(n): 183953271000807
- 138097528428825 is an abundant number, because the sum of its proper divisors (183953271000807) is greater than itself. Its abundance is 45855742571982
Bases of 138097528428825
- Binary: 111110110011001010101100010000001011001000110012
- Hexadecimal: 0x7D9956205919
- Base-36: 1CY94MUQS9
Squares and roots of 138097528428825
- 138097528428825 squared (1380975284288252) is 19070927358150129073090880625
- 138097528428825 cubed (1380975284288253) is 2633647933006193902233511033423791884015625
-
The
square root of 138097528428825 is 11751490.4769065357 -
The
cube root of 138097528428825 is 51688.6633939345
Scales and comparisons
How big is 138097528428825?- 138,097,528,428,825 seconds is equal to 4,391,074 years, 12 weeks, 3 days, 11 hours, 33 minutes, 45 seconds.
-
To count from 1 to 138,097,528,428,825 would take you about ten million, nine hundred seventy-seven thousand, six hundred eighty-five 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 138097528428825 cubic inches would be around 4307.4 feet tall.
Recreational maths with 138097528428825
- 138097528428825 backwards is 528824825790831
- The number of decimal digits it has is: 15
- The sum of 138097528428825's digits is 72
- More coming soon!
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The information we have on file for 138097528428825 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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