138127757404511875
138,127,757,404,511,875 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138127757404511875 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
138127757404511875 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138127757404511875:
54 × 73 × 112 × 13 × 372 × 5472
(5 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 13 × 37 × 37 × 547 × 547)See below for interesting mathematical facts about the number 138127757404511875 from the Numbermatics database.
Names of 138127757404511875
- Cardinal: 138127757404511875 can be written as One hundred thirty-eight quadrillion, one hundred twenty-seven trillion, seven hundred fifty-seven billion, four hundred four million, five hundred eleven thousand, eight hundred seventy-five.
Scientific notation
- Scientific notation: 1.38127757404511875 × 1017
Factors of 138127757404511875
Divisors of 138127757404511875
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 5 7 11 13 25 35 37 49 55 65 77 91 121 125 143 175 185 245 259 275 325 343 385 407 455 481 539 547 605 625 637 715 847 875 925 1001 1225 1295 1369 1375 1573 1625 1715 1813 1925 2035 2275 2405 2695 2735 2849 3025 3185 3367 3575 3773 3829 4235 4375 4459 4477 4625 5005 5291 5929 6017 6125 6475 6845 6875 7007 7111 7865 8125 8575 9065 9583 9625 10175 11011 11375 12025 12691 13475 13675 14245 15059 15125 15925 16835 17797 17875 18865 19145 19943 20239 21175 22295 22385 23125 23569 25025 26455 26803 29645 30085 30625 31339 32375 34225 35035 35555 37037 39325 41503 42119 42875 45325 47915 48125 49049 49777 50875 55055 56875 58201 60125 63455 66187 67081 67375 68375 71225 75295 75625 77077 78221 79625 84175 88985 89375 94325 95725 99715 101195 105413 105875 111475 111925 117845 124579 125125 132275 134015 139601 141673 148225 150425 156695 161875 164983 165649 171125 175175 177775 185185 187621 195767 196625 207515 210595 214375 219373 222629 226625 239575 245245 248885 254375 259259 263107 275275 291005 294833 299209 300625 317275 330935 335405 336875 341875 348439 356125 376475 385385 391105 398125 407407 420875 444925 463309 469567 471625 478625 498575 505975 527065 529375 539539 547547 557375 559625 589225 622895 625625 661375 670075 698005 708365 737891 741125 748843 752125 783475 824915 828245 855625 860431 872053 875875 888875 925925 938105 978835 983125 991711 1037575 1052975 1096865 1113145 1133125 1159543 1197875 1226225 1244425 1296295 1315535 1370369 1376375 1455025 1474165 1496045 1535611 1558403 1586375 1654675 1677025 1742195 1780625 1814813 1841749 1882375 1926925 1955525 2037035 2063831 2094463 2104375 2153437 2224625 2316545 2347835 2358125 2393125 2439073 2448919 2492875 2529875 2635325 2697695 2737735 2786875 2798125 2851849 2894177 2946125 3114475 3243163 3291299 3306875 3350375 3490025 3541825 3689455 3705625 3744215 3760625 3832829 3889717 3917375 4124575 4141225 4302155 4360265 4379375 4444375 4629625 4690525 4894175 4958555 5165237 5187875 5241901 5264875 5484325 5565725 5797715 5989375 6023017 6104371 6131125 6222125 6481475 6577675 6851845 6881875 6941977 7275125 7370825 7480225 7678055 7792015 7931875 8116801 8237273 8273375 8385125 8710975 9074065 9208745 9411875 9592583 9634625 9734959 9777625 10185175 10319155 10472315 10767185 10908821 11070733 11123125 11582725 11739175 12195365 12244595 12464375 12649375 12892243 13176625 13488475 13688675 14259245 14470885 14661241 14730625 15074059 15572375 16215815 16456495 16751875 17142433 17450125 17709125 18447275 18721075 19164145 19448585 19586875 19962943 20259239 20622875 20706125 21510775 21801325 22702141 23039093 23148125 23452625 24470875 24792775 25826185 25939375 26209505 26324375 26829803 27228019 27421625 27828625 28988575 30115085 30521855 30655625 31110625 31835947 32407375 32888375 34259225 34709885 36204289 36375625 36693307 36854125 37401125 38390275 38960075 40584005 41186365 41366875 41925625 42161119 42786887 43554875 45370325 46043725 47962915 48173125 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322306075 335740405 337211875 340723565 342216875 356481125 361772125 366531025 376851475 381808735 387475655 403626377 405395375 409617121 411412375 428560825 451228505 453050015 461181875 468026875 470655757 477012991 479103625 486214625 499073575 506480975 513143435 527592065 535422745 537769375 542465917 545033125 567553525 575977325 599985155 608890315 619819375 634270021 645654625 655237625 670745075 680700475 709073365 719597645 724714375 738628891 749591843 752877125 763046375 795898675 806368255 839979217 852446441 856480625 867747125 905107225 917332675 952980665 959756875 974001875 992702711 1007436703 1014600125 1029659125 1054027975 1069672175 1114258145 1128915557 1134258125 1151093125 1177930039 1199072875 1216869875 1267150115 1284265745 1289894375 1309039375 1334172931 1339558693 1345898125 1363602625 1383841625 1420440175 1441522775 1475639165 1497541045 1524420625 1530574375 1559961403 1583114819 1611530375 1678702025 1703617825 1774010161 1782405625 1808860625 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328191879785 339041198125 346945701487 353173079875 358414980875 366897556025 387863130655 396418763125 404030003377 410026738121 411823787375 417386367125 435356575225 459468631699 461643056875 468494901875 474657677375 501780973225 524987010625 532779025625 543008382917 554986268375 563223541375 576553302325 609499205315 620439194375 629647939375 644327731333 655892862625 665627821625 702493362515 705572223125 736206274375 745890635875 776980775725 788512957925 807174623255 833858081875 837224183125 853298887441 881507115125 918250007675 931878950275 974975876875 989446761875 1030688784125 1044246890225 1103918141095 1108756350625 1172113856375 1234109961175 1239091791025 1304630530385 1310348414375 1364966227625 1385225466625 1442964297775 1464381207575 1545485397533 1552258890875 1640959398925 1734728507435 1765865399375 1792074904375 1826482742539 1834487780125 1939315653275 2020150016885 2050133690605 2059118936875 2086931835625 2176782876125 2297343158495 2373288386875 2428619910409 2508904866125 2715041914585 2774931341875 2816117706875 2870187166847 2882766511625 3047496026575 3221638656665 3279464313125 3328139108125 3512466812575 3729453179375 3884903878625 3942564789625 4035873116275 4266494437205 4407535575625 4510294119331 4591250038375 4659394751375 5153443920625 5221234451125 5519590705475 5860569281875 5973092212087 6170549805875 6195458955125 6523152651925 6824831138125 6926127333125 7214821488875 7321906037875 7727426987665 7761294454375 8204796994625 8673642537175 9132413712695 9172438900625 9696578266375 10100750084425 10250668453025 10883914380625 11486715792475 12143099552045 12544524330625 13575209572925 14350935834235 14413832558125 15237480132875 16108193283325 17000339372863 17562334062875 19424519393125 19712823948125 20091310167929 20179365581375 21332472186025 22551470596655 22956250191875 23296973756875 26106172255625 27597953527375 29865461060435 30852749029375 30977294775625 31572058835317 32615763259625 36074107444375 36609530189375 38637134938325 41023984973125 43368212685875 45662068563475 48482891331875 50503750422125 51253342265125 57433578962375 60715497760225 67876047864625 71754679171175 76187400664375 80540966416625 85001696864315 87811670314375 100456550839645 100896827906875 106662360930125 112757352983275 137989767636875 149327305302175 157860294176585 163078816298125 193185674691625 216841063429375 221004411847219 228310342817375 252518752110625 256266711325625 287167894811875 303577488801125 339380239323125 358773395855875 402704832083125 425008484321575 502282754198225 533311804650625 563786764916375 746636526510875 789301470882925 965928373458125 1105022059236095 1141551714086875 1517887444005625 1793866979279375 2125042421607875 2511413770991125 2818933824581875 3733182632554375 3946507354414625 5525110296180475 10625212108039375 12557068854955625 19732536772073125 27625551480902375 138127757404511875
- Sum of all divisors σ(n): 245331962497591200
- Sum of proper divisors (its aliquot sum) s(n): 107204205093079325
- 138127757404511875 is a deficient number, because the sum of its proper divisors (107204205093079325) is less than itself. Its deficiency is 30923552311432550
Bases of 138127757404511875
- Binary: 1111010101011101001110110101010011011011110011110100000112
- Hexadecimal: 0x1EABA76A9B79E83
- Base-36: 11S27BQTMVLV
Squares and roots of 138127757404511875
- 138127757404511875 squared (1381277574045118752) is 19079277365599685110858607016015625
- 138127757404511875 cubed (1381277574045118753) is 2635377795408947725072984854869699342139760498046875
-
The
square root of 138127757404511875 is 371655428.3264430877 -
The
cube root of 138127757404511875 is 516924.3459672811
Scales and comparisons
How big is 138127757404511875?- 138,127,757,404,511,875 seconds is equal to 4,392,035,428 years, 13 weeks, 2 days, 13 hours, 17 minutes, 55 seconds.
-
To count from 1 to 138,127,757,404,511,875 would take you about thirteen billion, one hundred seventy-six million, one hundred six thousand, two hundred eighty-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 138127757404511875 cubic inches would be around 43077 feet tall.
Recreational maths with 138127757404511875
- 138127757404511875 backwards is 578115404757721831
- The number of decimal digits it has is: 18
- The sum of 138127757404511875's digits is 76
- More coming soon!
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"Number 138127757404511875 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 138127757404511875 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138127757404511875/
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The information we have on file for 138127757404511875 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!
Keywords: Divisors of 138127757404511875, math, Factors of 138127757404511875, curriculum, school, college, exams, university, Prime factorization of 138127757404511875, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred twenty-seven trillion, seven hundred fifty-seven billion, four hundred four million, five hundred eleven thousand, eight hundred seventy-five.