138085958696239575
138,085,958,696,239,575 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138085958696239575 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
138085958696239575 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 138085958696239575:
32 × 52 × 72 × 17 × 313 × 49732
(3 × 3 × 5 × 5 × 7 × 7 × 17 × 31 × 31 × 31 × 4973 × 4973)See below for interesting mathematical facts about the number 138085958696239575 from the Numbermatics database.
Names of 138085958696239575
- Cardinal: 138085958696239575 can be written as One hundred thirty-eight quadrillion, eighty-five trillion, nine hundred fifty-eight billion, six hundred ninety-six million, two hundred thirty-nine thousand, five hundred seventy-five.
Scientific notation
- Scientific notation: 1.38085958696239575 × 1017
Factors of 138085958696239575
Divisors of 138085958696239575
- Number of divisors d(n): 648
-
Complete list of divisors:
1 3 5 7 9 15 17 21 25 31 35 45 49 51 63 75 85 93 105 119 147 153 155 175 217 225 245 255 279 315 357 425 441 465 525 527 595 651 735 765 775 833 961 1071 1085 1225 1275 1395 1519 1575 1581 1785 1953 2205 2325 2499 2635 2883 2975 3255 3675 3689 3825 4165 4557 4743 4805 4973 5355 5425 6727 6975 7497 7595 7905 8649 8925 9765 11025 11067 12495 13175 13671 14415 14919 16275 16337 18445 20181 20825 22785 23715 24025 24865 25823 26775 29791 33201 33635 34811 37485 37975 39525 43245 44757 47089 48825 49011 55335 60543 62475 68355 72075 74595 77469 81685 84541 89373 92225 100905 104433 113925 114359 118575 124325 129115 141267 147033 148955 154163 166005 168175 174055 187425 208537 216225 223785 232407 235445 243677 245055 253623 268119 276675 302715 313299 341775 343077 372975 387345 408425 422705 423801 446865 462489 504525 506447 522165 571795 591787 625611 645575 706335 731031 735165 744775 760869 770815 800513 830025 870275 1029231 1042685 1079141 1118925 1162035 1177225 1218385 1225275 1268115 1340595 1387467 1459759 1513575 1519341 1566495 1715385 1775361 1876833 1936725 2113525 2119005 2193093 2234325 2312445 2401539 2532235 2610825 2620771 2858975 2958935 3128055 3237423 3531675 3545129 3655155 3675825 3804345 3854075 4002565 4142509 4379277 4558023 4779053 5146155 5213425 5326083 5395705 5810175 6091925 6340575 6702975 6937335 7204617 7298795 7553987 7596705 7832475 7862313 8576925 8876805 9384165 9712269 10595025 10635387 10965465 11562225 12007695 12427527 12661175 13103855 13137831 14337159 14794675 15640275 16187115 17725645 18275775 18345397 19021725 20012825 20712545 21896385 22661961 22790115 23586939 23895265 24730729 24815903 25730775 26630415 26978525 31906161 33453371 34686675 36023085 36493975 37282581 37769935 37983525 39311565 43011477 44384025 46920825 48561345 53176935 54827325 55036191 60038475 62137635 65519275 65689155 67985883 71685795 74192187 74447709 80935575 81243901 88628225 91726985 100360113 103562725 109481925 113309805 113950575 117934695 119476325 123653645 124079515 128417779 133152075 148150643 159530805 165108573 167266855 173115103 180115425 186412905 188849675 196557825 215057385 222576561 223343127 234173597 242806725 243731703 265884675 275180955 301080339 310688175 328445775 339929415 358428975 370960935 372238545 385253337 406219505 420422393 444451929 458634925 501800565 519345309 566549025 568707307 589673475 618268225 620397575 642088895 702520791 731195109 740753215 766652599 797654025 825542865 836334275 865575515 932064525 1037054501 1075286925 1112882805 1116715635 1155760011 1170867985 1211805721 1218658515 1261267179 1333355787 1375904775 1505401695 1558035927 1699647075 1706121921 1854804675 1861192725 1926266685 2031097525 2102111965 2107562373 2222259645 2299957797 2509002825 2518560931 2596726545 2843536535 2942956751 3111163503 3210444475 3512603955 3635417163 3655975545 3703766075 3783801537 3833262995 3980951149 4127714325 4327877575 5118365763 5185272505 5366568193 5564414025 5583578175 5778800055 5854339925 6059028605 6093292575 6306335895 6666778935 6899873391 7259381507 7527008475 7555682793 7790179635 8530609605 8828870253 9333490509 9631333425 10510559825 10537811865 10906251489 11111298225 11499788985 11942853447 12592804655 12983632725 13033094183 14217682675 14714783755 15555817515 16099704579 17563019775 17629926517 18177085815 18279877725 18919007685 19166314975 19904755745 20600697257 21778144521 22667048379 23766230569 25591828815 25926362525 26486610759 26832840965 28894000275 30295143025 31531679475 33333894675 34499366955 35828560341 36296907535 37565977351 37778413965 38950898175 39099282549 42653048025 44144351265 46667452545 48299113737 52689059325 52889779551 54531257445 57498944925 59714267235 61802091771 62964023275 65165470915 65334433563 71298691707 73573918775 77779087575 80498522895 88149632585 90885429075 91231659281 94595038425 99523778725 103003486285 108890722605 112697932053 113335241895 117297847647 118831152845 123409485619 127959144075 132433053795 134164204825 158669338653 166363613983 172496834775 179142801705 181484537675 185406275313 187829886755 188892069825 195496412745 213896075121 220721756325 233337262725 241495568685 264448897755 272656287225 273694977843 298571336175 309010458855 325827354575 326672167815 338093796159 356493458535 370228456857 402492614475 404025919673 440748162925 456158296405 499090841949 515017431425 544453613025 563489660265 566676209475 586489238235 594155764225 617047428095 638621614967 662165268975 736753147639 793346693265 821084933529 831818069915 895714008525 927031376565 939149433775 977482063725 1069480375605 1110685370571 1164545297881 1207477843425 1212077759019 1322244488775 1368474889215 1497272525847 1545052294275 1633360839075 1690468980795 1782467292675 1851142284285 1915864844901 2020129598365 2210259442917 2280791482025 2495454209745 2817448301325 2828181437711 2932446191175 3085237140475 3193108074835 3493635893643 3636233277057 3683765738195 3966733466325 4105424667645 4159090349575 4635156882825 5157272033473 5347401878025 5553426852855 5747594534703 5822726489405 6060388795095 6630778328751 6842374446075 7486362629235 8452344903975 8484544313133 9255711421425 9579324224505 10100647991825 10480907680929 11051297214585 12477271048725 12524803509863 14140907188555 15471816100419 15965540374175 17468179468215 18181166385285 18418828690975 19797270063977 20527123338225 25453632939399 25786360167365 27767134264275 28737972673515 29113632447025 30301943975475 33153891643755 36100904234311 37431813146175 37574410529589 42422721565665 46415448301257 47896621122525 52404538404645 55256486072925 59391810191931 62624017549315 70704535942775 77359080502095 87340897341075 87673624569041 90905831926425 98986350319885 108302712702933 112723231588767 127268164696995 128931800836825 143689863367575 165769458218775 178175430575793 180504521171555 187872052647945 212113607828325 232077241506285 262022692023225 263020873707123 296959050959655 313120087746575 324908138108799 386795402510475 438368122845205 494931751599425 541513563514665 563616157943835 613715371983287 636340823484975 789062621121369 890877152878965 902522605857775 939360263239725 1160386207531425 1315104368535615 1484795254798275 1624540690543995 1841146115949861 2191840614226025 2707567817573325 2818080789719175 3068576859916435 3945313105606845 4454385764394825 5523438347849583 6575521842678075 8122703452719975 9205730579749305 15342884299582175 19726565528034225 27617191739247915 46028652898746525 138085958696239575
- Sum of all divisors σ(n): 314848562650966656
- Sum of proper divisors (its aliquot sum) s(n): 176762603954727081
- 138085958696239575 is an abundant number, because the sum of its proper divisors (176762603954727081) is greater than itself. Its abundance is 38676645258487506
Bases of 138085958696239575
- Binary: 1111010101001010001110010101001001000111100000001110101112
- Hexadecimal: 0x1EA9472A48F01D7
- Base-36: 11RNDXOLXVBR
Squares and roots of 138085958696239575
- 138085958696239575 squared (1380859586962395752) is 19067731989059581907525245796180625
- 138085958696239575 cubed (1380859586962395753) is 2632986051872247503056838931924140779067084973234375
-
The
square root of 138085958696239575 is 371599190.9251681551 -
The
cube root of 138085958696239575 is 516872.1987132305
Scales and comparisons
How big is 138085958696239575?- 138,085,958,696,239,575 seconds is equal to 4,390,706,358 years, 32 weeks, 3 days, 19 hours, 26 minutes, 15 seconds.
-
To count from 1 to 138,085,958,696,239,575 would take you about thirteen billion, one hundred seventy-two million, one hundred nineteen thousand and seventy-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 138085958696239575 cubic inches would be around 43072.7 feet tall.
Recreational maths with 138085958696239575
- 138085958696239575 backwards is 575932696859580831
- The number of decimal digits it has is: 18
- The sum of 138085958696239575's digits is 99
- More coming soon!
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The information we have on file for 138085958696239575 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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