138398795817975
138,398,795,817,975 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138398795817975 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 810 divisors.
138398795817975 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ten divisors.
Prime factorization of 138398795817975:
32 × 52 × 72 × 114 × 672 × 191
(3 × 3 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 11 × 67 × 67 × 191)See below for interesting mathematical facts about the number 138398795817975 from the Numbermatics database.
Names of 138398795817975
- Cardinal: 138398795817975 can be written as One hundred thirty-eight trillion, three hundred ninety-eight billion, seven hundred ninety-five million, eight hundred seventeen thousand, nine hundred seventy-five.
Scientific notation
- Scientific notation: 1.38398795817975 × 1014
Factors of 138398795817975
Divisors of 138398795817975
- Number of divisors d(n): 810
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Complete list of divisors:
1 3 5 7 9 11 15 21 25 33 35 45 49 55 63 67 75 77 99 105 121 147 165 175 191 201 225 231 245 275 315 335 363 385 441 469 495 525 539 573 603 605 693 735 737 825 847 955 1005 1089 1155 1225 1331 1337 1407 1575 1617 1675 1719 1815 1925 2101 2205 2211 2345 2475 2541 2695 2865 3015 3025 3283 3465 3675 3685 3993 4011 4221 4235 4489 4775 4851 5025 5159 5445 5775 5929 6303 6633 6655 6685 7035 7623 8085 8107 8595 9075 9317 9359 9849 10505 11025 11055 11725 11979 12033 12705 12797 13467 13475 14325 14641 14707 15075 15477 16415 17325 17787 18425 18909 19965 20055 21105 21175 22445 23111 24255 24321 25795 27225 27951 28077 29547 29645 31423 31515 33165 33275 33425 35175 36113 38115 38391 40401 40425 40535 42975 43923 44121 46431 46585 46795 49245 49379 52525 53361 55275 56749 59895 60165 63525 63985 65219 67335 69333 72963 73205 73535 77385 82075 83853 84231 88935 89177 89579 94269 94545 99825 100275 102487 102949 105525 108339 112225 115173 115555 121275 121605 128975 131769 132363 139755 140385 140767 147735 148137 148225 157115 157575 161777 165825 170247 180565 190575 191955 195657 202005 202675 207999 219615 219961 220605 232155 232925 233975 246225 246895 254221 266805 267531 268737 282807 283745 299475 300825 307461 308847 319925 325017 326095 336675 345653 346665 364815 366025 367675 386925 397243 419265 421155 422301 444411 444675 445885 447895 471345 472725 485331 510741 512435 514745 541695 543169 575865 577775 586971 608025 624239 627053 658845 659883 661815 698775 701925 703835 717409 738675 740685 762663 785575 802593 806211 808885 851235 857399 902825 922383 926541 959775 978285 980947 985369 1010025 1036959 1039995 1098075 1099805 1103025 1132439 1160775 1191729 1234475 1266903 1271105 1334025 1337655 1343685 1414035 1418725 1455993 1537305 1544235 1548437 1625085 1629507 1630475 1728265 1733325 1779547 1824075 1872717 1881159 1979649 1986215 2096325 2105775 2111505 2152227 2222055 2229425 2239475 2287989 2356725 2419571 2426655 2553705 2562175 2572197 2573725 2708475 2715845 2796431 2879325 2934855 2942841 2956107 3110877 3121195 3135265 3294225 3299415 3309075 3397317 3519175 3575187 3587045 3703425 3802183 3813315 4012965 4031055 4044425 4256175 4286995 4369673 4611915 4632705 4645311 4888521 4891425 4904735 4926845 5184795 5199975 5338641 5499025 5618151 5643477 5662195 5958645 5974859 6001793 6334515 6355525 6456681 6688275 6718425 6866629 6897583 7070175 7258713 7279965 7686525 7716591 7721175 7742185 8125425 8147535 8389293 8641325 8828523 8868321 8897735 9363585 9405795 9431389 9898245 9931075 10191951 10557525 10761135 10839059 11110275 11406549 11439945 12097855 12133275 12456829 12768525 12860985 13109019 13579225 13935933 13982155 14674275 14714205 14780535 15554385 15605975 15676325 16015923 16497075 16986585 17032807 17875935 17924577 17935225 18005379 19010915 19066575 19575017 20064825 20155275 20599887 20692749 21434975 21776139 21848365 23059575 23163525 23226555 24442605 24523675 24634225 25167879 25923975 26615281 26693205 28090755 28217385 28294167 28310975 29793225 29874295 30008965 31672575 32283405 32517177 34219647 34333145 34487915 36293565 36399825 37370487 38582955 38710925 39327057 40737675 41824013 41946465 42012551 44142615 44341605 44488675 46817925 47028975 47156945 48066403 49491225 50959755 51098421 53773731 53805675 54016137 54195295 57032745 57199725 58725051 60489275 61799661 62078247 62284145 64304925 65545095 65723449 66019723 69679665 69910775 73571025 73902675 75873413 77771925 79845843 80079615 84882501 84932925 85164035 89379675 89622885 90026895 95054575 97551531 97875085 102999435 103463745 103745279 108880695 109241825 112111461 116132775 119229649 122213025 125472039 125839395 126037653 133076405 133466025 137025119 140453775 141086925 141470835 144199209 149371475 150044825 153295263 161417025 162585885 171098235 171665725 172439575 176175153 181467825 186852435 187360877 192914775 196635285 197170347 198059169 209120065 209732325 210062755 220713075 221708025 227620239 235784725 239537529 240332015 254798775 255492105 268868655 270080685 270976475 285163725 292768091 293625255 308998305 310391235 311235837 311420725 327725475 328617245 330098615 348398325 357688947 376416117 378112959 379367065 399229215 400398075 411075357 424412505 425820175 432597627 448114425 450134475 460064143 462138061 487757655 489375425 514997175 517318725 518726395 544403475 560557305 562082631 591511041 594177507 596148245 627360195 629196975 630188265 665382025 682860717 685125595 707354175 720996045 726216953 766476315 812929425 834607543 855491175 878304273 880875765 933707511 934262175 936804385 983176425 985851735 990295845 1045600325 1050313775 1073066841 1138101195 1141198069 1197687645 1201660075 1233226071 1277460525 1311526139 1344343275 1350403425 1380192429 1386414183 1463840455 1468126275 1544991525 1551956175 1556179185 1643086225 1650493075 1686247893 1788444735 1882080585 1890564795 1896835325 1996146075 2055376785 2122062525 2162988135 2178650859 2300320715 2310690305 2438788275 2503822629 2593631975 2634912819 2802786525 2810413155 2957555205 2970887535 2980741225 3136800975 3150941325 3220449001 3414303585 3423594207 3425627975 3604980225 3631084765 3832381575 3934578417 4140577287 4159242549 4173037715 4391521365 4404378825 4668537555 4684021925 4929258675 4951479225 5083518671 5365334205 5690505975 5705990345 5988438225 6166130355 6535952577 6557630695 6900962145 6932070915 7319202275 7511467887 7780895925 7988386483 8431239465 8942223675 9180682973 9410402925 9452823975 9661347003 10270782621 10276883925 10814940675 10893254295 11501603575 11553451525 11803735251 12519113145 12553178759 13174564095 14052065775 14787776025 14854437675 15250556013 16102245005 17071517925 17117971035 18155423825 19672892085 20702886435 20796212745 20865188575 21957606825 23342687775 23965159449 25417593355 26826671025 27542048919 28529951725 28984041009 30830651775 32679762885 32788153475 34504810725 34660354575 37557339435 37659536277 39941932415 42156197325 45751668039 45903414865 48306735015 51353913105 54466271475 55918705381 59018676255 62595565725 62765893795 65872820475 71895478347 76252780065 80511225025 82626146757 85589855175 87872251313 98364460425 103514432175 103981063725 112978608831 119825797245 127087966775 137710244595 144920205045 163398814425 167756116143 187786697175 188297681385 199709662075 228758340195 229517074325 241533675075 256769565525 263616753939 279593526905 295093381275 313829468975 359477391735 381263900325 413130733785 439361256565 503268348429 564893044155 599128986225 615105759191 688551222975 724601025225 790850261817 838780580715 941488406925 1143791700975 1318083769695 1397967634525 1797386958675 1845317277573 2065653668925 2196806282825 2516341742145 2824465220775 3075528795955 3954251309085 4193902903575 5535951832719 6590418848475 9226586387865 12581708710725 15377643979775 19771256545425 27679759163595 46132931939325 138398795817975
- Sum of all divisors σ(n): 323683743539520
- Sum of proper divisors (its aliquot sum) s(n): 185284947721545
- 138398795817975 is an abundant number, because the sum of its proper divisors (185284947721545) is greater than itself. Its abundance is 46886151903570
Bases of 138398795817975
- Binary: 111110111011111011110110000111111100011111101112
- Hexadecimal: 0x7DDF7B0FE3F7
- Base-36: 1D23J1OFZR
Squares and roots of 138398795817975
- 138398795817975 squared (1383987958179752) is 19154226683865534349333100625
- 138398795817975 cubed (1383987958179753) is 2650921907871514467713720639509489858734375
-
The
square root of 138398795817975 is 11764301.7564994055 -
The
cube root of 138398795817975 is 51726.2233192653
Scales and comparisons
How big is 138398795817975?- 138,398,795,817,975 seconds is equal to 4,400,653 years, 31 weeks, 5 days, 13 hours, 26 minutes, 15 seconds.
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To count from 1 to 138,398,795,817,975 would take you about eleven million, one thousand, six hundred thirty-four 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 138398795817975 cubic inches would be around 4310.5 feet tall.
Recreational maths with 138398795817975
- 138398795817975 backwards is 579718597893831
- The number of decimal digits it has is: 15
- The sum of 138398795817975's digits is 90
- More coming soon!
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The information we have on file for 138398795817975 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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