42138175685942193
42,138,175,685,942,193 is an odd composite number composed of six prime numbers multiplied together.
42138175685942193 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42138175685942193:
3 × 112 × 133 × 173 × 192 × 313
(3 × 11 × 11 × 13 × 13 × 13 × 17 × 17 × 17 × 19 × 19 × 31 × 31 × 31)See below for interesting mathematical facts about the number 42138175685942193 from the Numbermatics database.
Names of 42138175685942193
- Cardinal: 42138175685942193 can be written as Forty-two quadrillion, one hundred thirty-eight trillion, one hundred seventy-five billion, six hundred eighty-five million, nine hundred forty-two thousand, one hundred ninety-three.
Scientific notation
- Scientific notation: 4.2138175685942193 × 1016
Factors of 42138175685942193
Divisors of 42138175685942193
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 3 11 13 17 19 31 33 39 51 57 93 121 143 169 187 209 221 247 289 323 341 361 363 403 429 507 527 561 589 627 663 741 867 961 969 1023 1083 1209 1573 1581 1767 1859 2057 2197 2299 2431 2717 2873 2883 3179 3211 3553 3751 3757 3971 4199 4433 4693 4719 4913 5239 5491 5577 5797 6137 6171 6479 6591 6851 6897 7293 7657 8151 8619 8959 9537 9633 10013 10571 10659 11191 11253 11271 11913 12493 12597 13299 14079 14739 15717 16337 16473 17391 18259 18411 19437 20449 20553 22971 24167 26741 26877 29791 29887 30039 31603 31713 33573 34969 35321 37349 37479 39083 41327 41743 43681 46189 48763 48841 49011 51623 54043 54587 54777 57629 60401 61009 61347 63767 63869 67507 68107 71269 71383 72501 75361 79781 80223 84227 89063 89373 89661 93347 94809 98549 99541 104329 104907 105963 110143 112047 116281 116467 117249 123101 123981 125229 130169 131043 137423 138567 145483 146289 146523 152303 154869 162129 162409 163761 170221 172887 179707 181203 183027 190247 191301 191607 200849 202521 204321 212381 213807 214149 226083 237367 239343 252681 265837 267189 277729 280041 295647 298623 310403 312987 327701 330429 346921 347633 348843 349401 369303 387283 388531 390507 410839 412269 436449 454597 456909 459173 487227 506447 508079 510663 537251 539121 566029 567853 570741 594473 600457 602547 633919 634933 637143 664411 671099 702559 709631 712101 742577 749177 785213 793117 797511 828971 830297 833187 877591 926497 927979 931209 979693 983103 1026817 1037153 1040763 1042899 1084039 1094951 1147619 1157819 1161849 1165593 1211573 1213511 1232517 1281137 1294033 1354111 1356277 1363791 1377519 1431859 1511653 1514071 1519341 1524237 1600313 1611753 1675333 1692197 1698087 1703559 1773593 1783419 1786499 1801371 1872431 1891279 1901757 1904799 1976777 1979939 1993233 2013297 2092717 2107677 2111317 2128893 2209339 2212873 2227731 2247531 2336191 2355639 2379351 2473211 2486913 2490891 2611037 2632773 2760953 2779491 2783937 2893757 2939079 3055019 3080451 3085771 3111459 3234199 3252117 3284853 3414433 3442857 3473457 3604711 3610477 3634719 3640533 3816131 3843411 3882099 4035239 4062333 4068831 4260113 4295577 4509973 4519229 4534959 4542213 4721393 4800939 5025999 5034679 5050903 5076591 5276851 5320779 5359497 5570917 5617293 5673837 5897657 5909761 5930331 5939817 6226319 6278151 6333951 6583811 6605027 6628017 6638619 6984263 7008573 7358377 7382089 7419633 7728149 7805941 7833111 8240947 8282859 8609599 8637343 8681271 8724287 9133267 9165057 9257313 9622493 9653501 9702597 10207769 10243299 10754551 10776623 10793861 10814133 10831431 11294987 11408683 11448393 12044461 12063727 12105717 12623809 12736009 12780339 13348621 13482989 13529919 13557687 14092507 14164179 14234363 14919047 15104037 15152709 15750449 15775643 15830553 16654781 16712751 17603443 17631601 17692971 17729283 18428663 18614167 18678957 19509523 19651489 19682923 19751433 19815081 20596741 20804069 20952789 21779329 21998561 22075131 22146267 23019887 23056709 23184447 23224487 23417823 24341603 24586627 24722841 25698101 25739207 25828797 25912029 26172861 27205321 27399801 28721407 28767349 28867479 28960503 30370483 30623307 31831327 32151743 32263653 32329869 32381583 33605209 33884961 33943481 34226049 35576189 35892389 36133383 36191181 37558763 37618841 37871427 38208027 39715247 40045863 40115023 40448967 41977441 42044587 42277521 42703089 44387629 44757141 46861243 46936201 47251347 47326929 49609703 49964343 51935323 52458107 52810329 52894803 54981383 55285989 55381469 55842501 58045361 58528569 58629649 58954467 59048769 61280087 61378109 61790223 62412207 64874227 65337987 65450827 65995683 68489509 68599063 69059661 69170127 69673461 72421921 73024809 73759881 76669541 76826893 77094303 77217621 80942147 81615963 85589543 85865351 86164221 86302047 89706467 91111449 94705589 95493981 95658901 95967157 96455229 100260169 100465937 100815627 101830443 105847423 106728567 107677167 111924787 112285459 112676289 112856523 118300061 118732471 119145741 120345069 125092409 125495513 125932323 126133761 132700997 133162887 139809163 140096099 140583729 140808603 146363183 146834831 148312879 148829109 155805969 156577993 157374321 163582381 164109517 164944149 166144407 173532073 174136083 175888947 182827367 183202591 183840261 184134327 193947611 194622681 196352481 204755837 205083359 205468527 205797189 214604753 216512153 217265763 228844759 229210813 230008623 230480679 239572619 241984171 242826441 253623799 255469357 256768629 257596053 267757633 269119401 270452897 283131277 284116767 286976703 287901471 299258531 299737217 300780507 301397811 316440839 317542269 334075313 334609691 335774361 336856377 350144597 353669173 354900183 356197413 373378291 373975537 375277227 376486539 391338079 394816279 398102991 413807251 417972659 419427489 420288297 436867717 439089549 440504493 441265253 444938637 462490457 469733979 488263919 489044933 490747143 492328551 516298211 520596219 545706733 546579631 548482101 549607773 571288553 577039177 581842833 604795213 609196159 610170613 614267511 615250077 638498971 643814259 644926139 649536459 675159199 681955391 686534277 687632439 713616497 714757979 718717857 719959097 725952513 754589693 760871397 762185437 766408071 796641131 797915417 803272899 811358691 843364951 849393831 890363617 891787819 897775593 899211651 941484973 949322517 986771137 996704033 1002225939 1003829073 1041761479 1050433791 1052247911 1061007519 1102861859 1112664059 1120134873 1121926611 1164321653 1166184071 1174014237 1184448837 1231172657 1241421753 1243565713 1253917977 1301300671 1303382197 1306057181 1310603151 1323795759 1376016499 1387471371 1455022231 1459710967 1464791757 1467134799 1537900793 1548894633 1609995013 1626201317 1631441669 1637120199 1639738893 1704422873 1713865659 1731117531 1799406191 1814385639 1817519119 1827588477 1830511839 1902721379 1908852803 1915496913 1934778417 2011101037 2025477597 2045866173 2126570953 2133423721 2140849491 2144273937 2159877291 2255916949 2263769079 2286556311 2376755771 2381633683 2389923393 2393746251 2521318943 2530094853 2661825881 2671090851 2675363457 2780900477 2789861789 2824454919 2960313411 2974981867 2990112099 3108065239 3114444047 3125284437 3156743733 3297109387 3308585577 3337992177 3480849229 3492964959 3498552213 3680706601 3693517971 3730697139 3890360903 3896583821 3903902013 3910146591 3918171543 4113730907 4128049497 4342979069 4365066693 4379132901 4551879761 4597699249 4613702379 4829985039 4853917783 4878603951 4894325007 5087395027 5113268619 5379494263 5398218573 5452557357 5679280321 5708164137 5726558409 6012375941 6033303111 6347430947 6357584129 6379712859 6400271163 6652747343 6711876743 6767750847 7094187529 7105535203 7130267313 7144901049 7426751189 7501509301 7563956829 7862337769 7919550067 7985477643 8300486623 8342701431 8369585367 8384039807 8777069587 8924945601 9277014461 9291853727 9324195717 9343332141 9809666009 9891328161 10356334703 10372900421 10442547687 10854482507 10963744363 11042119803 11574727021 11593241647 11671082709 11689751463 12131480449 12239304649 12341192721 12828024781 12957152429 13028937207 13542899227 13655639283 13679222843 13793097747 14337204167 14561753349 15136181489 15160392923 15262185081 16005244541 16138482789 16916908723 16943968561 17037840963 17709945143 17888214487 18037127823 18748651603 18915289003 19042292841 19072752387 19793468101 19958242029 19992710309 20135630229 20929935169 21140617121 21282562587 21316605609 22122111407 22157497349 22280253567 22504527903 23392280483 23587013307 23627748547 23758650201 24735377927 24815086439 24901459869 25152119421 26144313481 26331208761 27645422389 27734508373 27831043383 27875561181 29428998027 30589905247 30897825023 31069004109 31118701263 32563447521 32891233089 34188717629 34724181063 34779724941 36151706201 36268203257 36394441347 36717913947 38484074343 38871457287 40404848107 40487772611 40628697681 41037668529 42862422031 43011612501 45251039977 45408544467 45481178769 48015733623 50574691739 50750726169 50831905683 52837109063 53129835429 53664643461 56245954809 56745867009 59174436893 59380404303 59978130927 62789805507 63421851363 66136135351 66366334221 66472492047 69933425419 70176841449 70883245641 73830644173 74206133781 74445259317 78160887233 78432940443 82516602311 82936267167 83203525119 86485715459 91769715741 92224437877 92693475069 96547765457 102210390997 102566152887 107906326099 108455118603 108804609771 114101904631 120601187993 120794098451 121214544321 121463317833 127525658117 128587266093 134632351139 135753119931 141108272591 142528676719 150471451273 151724075217 157709245837 158511327189 166764322153 176057689951 177523310679 186383654171 196770359357 197085107999 198408406053 206235167633 208068179033 209800276257 219919813399 220271591293 221491932519 230229286859 232546788331 234482661699 243732470839 247549806933 257315085313 259457146377 259905234017 272089157197 276673313631 287587448291 288047465537 289643296371 304099646279 306631172991 321559913051 323718978297 336488957717 339876075253 342305713893 359390491057 361803563979 362382295353 376075893919 382576974351 397668768211 401671725299 403897053417 423324817773 427586030157 444453329177 451414353819 469972180613 471486642341 473127737511 500292966459 525263025391 528173069853 559150962513 581208199693 590311078071 591255323997 618705502899 624204537099 659759440197 660814773879 686882417819 690687860577 697640364993 731197412517 769267679609 771945255939 779715702051 816267471591 859769759563 862762344873 864142396611 912298938837 964679739153 1009466873151 1019628225759 1078171473171 1124314300967 1128227681757 1193006304633 1205015175897 1255120950941 1328735082961 1333359987531 1402782239287 1409916541839 1414459927023 1567815443909 1575789076173 1743624599079 1834407543683 2050220195881 2060647253457 2167936187989 2288749969363 2307803038827 2422987504223 2558014671641 2579309278689 2681057179229 2858957574187 2992980729167 3168522120907 3345096109069 3372942902901 3537159043561 3738636827783 3744617051981 3765362852823 3953295401627 3986205248883 4208346717861 4374356450321 4418388978289 4703446331727 4888986620947 5169693986743 5503222631049 5777893279301 6109638347969 6150660587643 6393290196623 6503808563967 6828419330083 6866249908089 7268962512669 7555706596009 7674044014923 8043171537687 8576872722561 8929471431647 8978942187501 9505566362721 10035288327207 10611477130683 11215910483349 11233851155943 11859886204881 13123069350963 13255166934867 14616085912571 14666959862841 15509081960229 17333679837903 18328915043907 19179870589869 20485257990249 22667119788027 23847298067879 26652862546453 26788414294941 34853743329977 38908749479171 41190787571791 43486249417897 43848257737713 48602278761179 56866633854173 63556826072311 67206021827659 71541894203637 75112612630913 79958587639359 83112772556099 98224185748117 104561229989931 116083128611411 116726248437513 123572362715373 130458748253691 145806836283537 170599901562519 190670478216933 201618065482977 225337837892739 249338317668297 294672557244351 348249385834233 453098663289701 739266240104249 826238738940043 1080466043229287 1276914414725521 1359295989869103 2217798720312747 2478716216820129 3241398129687861 3830743244176563 14046058561980731 42138175685942193
- Sum of all divisors σ(n): 77519170771660800
- Sum of proper divisors (its aliquot sum) s(n): 35380995085718607
- 42138175685942193 is a deficient number, because the sum of its proper divisors (35380995085718607) is less than itself. Its deficiency is 6757180600223586
Bases of 42138175685942193
- Binary: 100101011011010001110010100100010011111001011011101100012
- Hexadecimal: 0x95B472913E5BB1
- Base-36: BIWQIO3YDGX
Squares and roots of 42138175685942193
- 42138175685942193 squared (421381756859421932) is 1775625850139329807552242137649249
- 42138175685942193 cubed (421381756859421933) is 74821634025671543405413944581291076946708723863057
-
The
square root of 42138175685942193 is 205275852.6615885061 -
The
cube root of 42138175685942193 is 347983.4395770915
Scales and comparisons
How big is 42138175685942193?- 42,138,175,685,942,193 seconds is equal to 1,339,863,644 years, 45 weeks, 4 days, 10 hours, 36 minutes, 33 seconds.
-
To count from 1 to 42,138,175,685,942,193 would take you about four billion, nineteen million, five hundred ninety thousand, nine 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 42138175685942193 cubic inches would be around 28998.6 feet tall.
Recreational maths with 42138175685942193
- 42138175685942193 backwards is 39124958657183124
- The number of decimal digits it has is: 17
- The sum of 42138175685942193's digits is 78
- More coming soon!
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"Number 42138175685942193 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 42138175685942193 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/42138175685942193/
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The information we have on file for 42138175685942193 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 42138175685942193, math, Factors of 42138175685942193, curriculum, school, college, exams, university, Prime factorization of 42138175685942193, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, one hundred thirty-eight trillion, one hundred seventy-five billion, six hundred eighty-five million, nine hundred forty-two thousand, one hundred ninety-three.