42668563007935257624
42,668,563,007,935,257,624 is an even composite number composed of seven prime numbers multiplied together.
42668563007935257624 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 42668563007935257624:
23 × 32 × 7 × 113 × 19 × 185123 × 18083623
(2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 11 × 19 × 185123 × 18083623)See below for interesting mathematical facts about the number 42668563007935257624 from the Numbermatics database.
Names of 42668563007935257624
- Cardinal: 42668563007935257624 can be written as Forty-two quintillion, six hundred sixty-eight quadrillion, five hundred sixty-three trillion, seven billion, nine hundred thirty-five million, two hundred fifty-seven thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 4.2668563007935257624 × 1019
Factors of 42668563007935257624
Divisors of 42668563007935257624
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 18 19 21 22 24 28 33 36 38 42 44 56 57 63 66 72 76 77 84 88 99 114 121 126 132 133 152 154 168 171 198 209 228 231 242 252 264 266 308 342 363 396 399 418 456 462 484 504 532 616 627 684 693 726 792 798 836 847 924 968 1064 1089 1197 1254 1331 1368 1386 1452 1463 1596 1672 1694 1848 1881 2178 2299 2394 2508 2541 2662 2772 2904 2926 3192 3388 3762 3993 4356 4389 4598 4788 5016 5082 5324 5544 5852 6776 6897 7524 7623 7986 8712 8778 9196 9317 9576 10164 10648 11704 11979 13167 13794 15048 15246 15972 16093 17556 18392 18634 20328 20691 23958 25289 26334 27588 27951 30492 31944 32186 35112 37268 41382 47916 48279 50578 52668 55176 55902 60984 64372 74536 75867 82764 83853 95832 96558 101156 105336 111804 128744 144837 151734 165528 167706 177023 185123 193116 202312 223608 227601 289674 303468 335412 354046 370246 386232 455202 531069 555369 579348 606936 670824 708092 740492 910404 1062138 1110738 1158696 1295861 1416184 1480984 1593207 1666107 1820808 2036353 2124276 2221476 2591722 3186414 3332214 3517337 3887583 4072706 4248552 4442952 5183444 6109059 6372828 6664428 7034674 7775166 8145412 10366888 10552011 11662749 12218118 12745656 13328856 14069348 14254471 15550332 16290824 18083623 18327177 21104022 22399883 23325498 24436236 24621359 28138696 28508942 31100664 31656033 36167246 36654354 38690707 42208044 42763413 44799766 46650996 48872472 49242718 54250869 57017884 63312066 67199649 72334492 73308708 73864077 77381414 84416088 85526826 89599532 93301992 98485436 108501738 114035768 116072121 126585361 126624132 128290239 134399298 144668984 146617416 147728154 154762828 156799181 162752607 171053652 179199064 196970872 198919853 201598947 217003476 221592231 232144242 246398713 253170722 253248264 256580478 268798596 270834949 295456308 309525656 313598362 325505214 342107304 343588837 348216363 379756083 397839706 403197894 425597777 434006952 443184462 464288484 470397543 492797426 506341444 513160956 537597192 541669898 590912616 596759559 627196724 651010428 687177674 696432726 739196139 759512166 795679412 806395788 812504847 851195554 886368924 928576968 940795086 985594852 1012682888 1026321912 1030766511 1083339796 1139268249 1193519118 1254393448 1276793331 1302020856 1374355348 1392438971 1392865452 1411192629 1478392278 1519024332 1591358824 1612791576 1625009694 1702391108 1724790991 1772737848 1790278677 1881590172 1971189704 2061533022 2166679592 2188118383 2217588417 2278536498 2387038236 2405121859 2437514541 2553586662 2748710696 2784877942 2785730904 2822385258 2956784556 2979184439 3038048664 3092299533 3250019388 3404782216 3449581982 3580557354 3763180344 3779477207 3830379993 4123066044 4177316913 4376236766 4435176834 4557072996 4681575547 4774076472 4810243718 4875029082 5107173324 5174372973 5569755884 5644770516 5913569112 5958368878 6184599066 6500038776 6564355149 6899163964 7161114708 7215365577 7558954414 7660759986 8246132088 8354633826 8752473532 8870353668 8937553317 9114145992 9363151094 9620487436 9750058164 10214346648 10348745946 11139511768 11289541032 11338431621 11916737756 12369198132 12531950739 13128710298 13798327928 14044726641 14322229416 14430731154 15117908828 15316828681 15321519972 15523118919 16709267652 17504947064 17740707336 17875106634 18726302188 19240974872 19500116328 19693065447 20697491892 21646096731 22676863242 23833475512 24069302213 24738396264 25063901478 26257420596 26456340449 26812659951 28089453282 28861462308 30235817656 30633657362 30643039944 31046237838 32771028829 33418535304 34015294863 35750213268 37452604376 39386130894 41394983784 41574249277 42134179923 43292193462 45353726484 45950486043 48138604426 50127802956 52514841192 52912680898 53625319902 56178906564 57722924616 61267314724 62092475676 65542057658 68030589726 71500426536 72207906639 78772261788 79369021347 83148498554 84268359846 86584386924 90707452968 91900972086 96277208852 98313086487 100255605912 105825361796 107250639804 112357813128 122534629448 124184951352 124722747831 131084115316 136061179452 137851458129 144415813278 157544523576 158738042694 166296997108 168485115491 168536719692 173168773848 183801944172 192554417704 196626172974 211650723592 214501279608 216623719917 238107064041 249445495662 262168230632 272122358904 275702916258 288831626556 291019744939 294939259461 317476085388 332593994216 336970230982 337073439384 367603888344 374168243493 393252345948 433247439834 457316742047 476214128082 498890991324 505455346473 551405832516 577663253112 582039489878 589878518922 634952170776 673940461964 748336486986 786504691896 866494879668 873059234817 914633484094 952428256164 997781982648 1010910692946 1102811665032 1164078979756 1179757037844 1347880923928 1371950226141 1496672973972 1516366039419 1732989759336 1746118469634 1829266968188 1904856512328 2021821385892 2328157959512 2359514075688 2619177704451 2743900452282 2993345947944 3032732078838 3201217194329 3347694540629 3492236939268 3658533936376 4043642771784 4115850678423 5238355408902 5487800904564 6065464157676 6402434388658 6695389081258 6984473878536 8231701356846 9603651582987 10043083621887 10476710817804 10975601809128 12130928315352 12804868777316 13390778162516 16463402713692 19207303165974 20086167243774 20953421635608 23433861784403 25609737554632 26781556325032 28810954748961 30129250865661 32926805427384 36824639946919 38414606331948 40172334487548 46867723568806 57621909497922 60258501731322 63606196271951 70301585353209 73649279893838 76829212663896 80344668975096 93735447137612 110473919840757 115243818995844 120517003462644 127212392543902 140603170706418 147298559787676 187470894275224 190818588815853 210904756059627 220947839681514 230487637991688 241034006925288 254424785087804 257772479628433 281206341412836 294597119575352 331421759522271 381637177631706 405071039416109 421809512119254 441895679363028 445243373903657 508849570175608 515544959256866 562412682825672 572455766447559 662843519044542 699668158991461 763274355263412 773317438885299 810142078832218 843619024238508 883791358726056 890486747807314 1031089918513732 1144911532895118 1215213118248327 1325687038089084 1335730121710971 1399336317982922 1526548710526824 1546634877770598 1620284157664436 1687238048477016 1780973495614628 2062179837027464 2099004476974383 2289823065790236 2319952316655897 2430426236496654 2651374076178168 2671460243421942 2798672635965844 2835497275912763 3093269755541196 3240568315328872 3561946991229256 3645639354744981 4007190365132913 4198008953948766 4455781433577199 4579646131580472 4639904633311794 4860852472993308 4897677112940227 5342920486843884 5597345271931688 5670994551825526 6186539511082392 6297013430923149 7291278709489962 7696349748906071 8014380730265826 8396017907897532 8506491827738289 8911562867154398 9279809266623588 9721704945986616 9795354225880454 10685840973687768 11341989103651052 12594026861846298 13367344300731597 14582557418979924 14693031338820681 15392699497812142 16028761460531652 16792035815795064 17012983655476578 17823125734308796 18559618533247176 19590708451760908 22683978207302104 23089049246718213 25188053723692596 25519475483214867 26734688601463194 29165114837959848 29386062677641362 30785398995624284 31190470035040393 32057522921063304 34025967310953156 35646251468617592 39181416903521816 40102032902194791 44079094016462043 46178098493436426 50376107447385192 51038950966429734 53469377202926388 53874448242342497 58772125355282724 61570797991248568 62380940070080786 68051934621906312 69267147740154639 80204065804389582 84659847237966781 88158188032924086 92356196986872852 93571410105121179 102077901932859468 106938754405852776 107748896484684994 117544250710565448 124761880140161572 138534295480309278 160408131608779164 161623344727027491 169319694475933562 176316376065848172 184712393973745704 187142820210242358 204155803865718936 215497792969369988 249523760280323144 253979541713900343 277068590960618556 280714230315363537 320816263217558328 323246689454054982 338639388951867124 352632752131696344 374285640420484716 430995585938739976 484870034181082473 507959083427800686 554137181921237112 561428460630727074 592618930665767467 646493378908109964 677278777903734248 748571280840969432 761938625141701029 969740068362164946 1015918166855601372 1122856921261454148 1185237861331534934 1292986757816219928 1523877250283402058 1777856791997302401 1939480136724329892 2031836333711202744 2245713842522908296 2370475722663069868 3047754500566804116 3555713583994604802 3878960273448659784 4740951445326139736 5333570375991907203 6095509001133608232 7111427167989209604 10667140751983814406 14222854335978419208 21334281503967628812 42668563007935257624
- Sum of all divisors σ(n): 152912808451305676800
- Sum of proper divisors (its aliquot sum) s(n): 110244245443370419176
- 42668563007935257624 is an abundant number, because the sum of its proper divisors (110244245443370419176) is greater than itself. Its abundance is 67575682435435161552
Bases of 42668563007935257624
- Binary: 1001010000001001010010111111111100111011000101101010011100000110002
- Hexadecimal: 0x250252FFCEC5A9C18
- Base-36: 906BR8PQ2O2E0
Squares and roots of 42668563007935257624
- 42668563007935257624 squared (426685630079352576242) is 1820606269162141079764716937559250125376
- 42668563007935257624 cubed (426685630079352576243) is 77682653308386753654499925922780492412332726197112859866624
-
The
square root of 42668563007935257624 is 6532117804.1991295385 -
The
cube root of 42668563007935257624 is 3494373.6271372085
Scales and comparisons
How big is 42668563007935257624?- 42,668,563,007,935,257,624 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,668,563,007,935,257,624 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42668563007935257624 cubic inches would be around 291197.8 feet tall.
Recreational maths with 42668563007935257624
- 42668563007935257624 backwards is 42675253970036586624
- The number of decimal digits it has is: 20
- The sum of 42668563007935257624's digits is 90
- More coming soon!
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The information we have on file for 42668563007935257624 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 42668563007935257624, math, Factors of 42668563007935257624, curriculum, school, college, exams, university, Prime factorization of 42668563007935257624, STEM, science, technology, engineering, physics, economics, calculator, forty-two quintillion, six hundred sixty-eight quadrillion, five hundred sixty-three trillion, seven billion, nine hundred thirty-five million, two hundred fifty-seven thousand, six hundred twenty-four.