42381006385317705
42,381,006,385,317,705 is an odd composite number composed of five prime numbers multiplied together.
What does the number 42381006385317705 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
42381006385317705 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 42381006385317705:
313 × 5 × 73 × 312 × 1272
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 31 × 31 × 127 × 127)See below for interesting mathematical facts about the number 42381006385317705 from the Numbermatics database.
Names of 42381006385317705
- Cardinal: 42381006385317705 can be written as Forty-two quadrillion, three hundred eighty-one trillion, six billion, three hundred eighty-five million, three hundred seventeen thousand, seven hundred five.
Scientific notation
- Scientific notation: 4.2381006385317705 × 1016
Factors of 42381006385317705
Divisors of 42381006385317705
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 3 5 7 9 15 21 27 31 35 45 49 63 81 93 105 127 135 147 155 189 217 243 245 279 315 343 381 405 441 465 567 635 651 729 735 837 889 945 961 1029 1085 1143 1215 1323 1395 1519 1701 1715 1905 1953 2187 2205 2511 2667 2835 2883 3087 3255 3429 3645 3937 3969 4185 4445 4557 4805 5103 5145 5715 5859 6223 6561 6615 6727 7533 7595 8001 8505 8649 9261 9765 10287 10633 10935 11811 11907 12555 13335 13671 14415 15309 15435 16129 17145 17577 18669 19683 19685 19845 20181 22599 22785 24003 25515 25947 27559 27783 29295 30861 31115 31899 32805 33635 35433 35721 37665 40005 41013 43245 43561 45927 46305 47089 48387 51435 52731 53165 56007 59049 59055 59535 60543 67797 68355 72009 76545 77841 80645 82677 83349 87885 92583 93345 95697 98415 100905 106299 107163 112903 112995 120015 122047 123039 129735 130683 137781 137795 138915 141267 145161 154305 158193 159495 168021 177147 177165 178605 181629 192913 203391 205065 216027 217805 229635 233523 235445 241935 248031 250047 263655 277749 280035 287091 295245 302715 318897 321489 329623 338709 338985 360045 366141 369117 389205 392049 413343 413385 416745 423801 435483 462915 474579 478485 499999 504063 531441 531495 535815 544887 564515 578739 610173 610235 615195 648081 653415 688905 700569 706335 725805 744093 750141 790321 790965 833247 840105 854329 861273 885735 908145 956691 964467 964565 988869 1016127 1016955 1080135 1098423 1107351 1167615 1176147 1240029 1240155 1250235 1271403 1306449 1350391 1388745 1423737 1435455 1499997 1512189 1594323 1594485 1607445 1634661 1648115 1693545 1736217 1830519 1830705 1845585 1944243 1960245 2066715 2101707 2119005 2177415 2232279 2250423 2370963 2372895 2499741 2499995 2520315 2562987 2583819 2657205 2724435 2870073 2893401 2893695 2966607 3048381 3050865 3240405 3295269 3322053 3499993 3502845 3528441 3720087 3720465 3750705 3814209 3919347 3951605 4051173 4166235 4271211 4271645 4306365 4499991 4536567 4783455 4822335 4903983 4944345 5080635 5208651 5491557 5492115 5532247 5536755 5832729 5880735 5980303 6200145 6305121 6357015 6532245 6696837 6751269 6751955 7112889 7118685 7499223 7499985 7560945 7688961 7751457 7971615 8173305 8610219 8680203 8681085 8899821 9145143 9152595 9721215 9885807 9966159 10499979 10508535 10585323 11160261 11161395 11252115 11442627 11758041 11854815 12153519 12498705 12813633 12814935 12919095 13499973 13609701 14350365 14467005 14711949 14833035 15241905 15499969 15625953 16474671 16476345 16596741 16610265 17498187 17499965 17642205 17940909 18600435 18915363 19071045 19596735 20090511 20253807 20255865 21338667 21356055 22497669 22499955 22682835 23066883 23254371 24499951 24519915 25830657 26040609 26043255 26699463 27435429 27457785 27661235 29163645 29657421 29898477 29901515 31499937 31525605 31755969 33484185 33756345 34327881 35274123 35564445 36460557 37496115 38440899 38444805 38757285 40499919 40829103 41862121 43051095 43401015 44135847 44499105 45725715 46499907 46877859 49424013 49429035 49790223 49830795 52494561 52499895 52926615 53822727 55801305 56746089 57213135 58790205 60271533 60761421 60767595 64016001 64068165 67493007 67499865 68048505 69200649 69763113 73499853 73559745 77491971 77499845 78121827 78129765 80098389 82306287 82373355 82983705 87490935 88972263 89695431 89704545 94499811 94576815 95267907 100452555 101269035 102983643 105822369 106693335 108499783 109381671 112488345 115322697 115334415 116271855 121499757 122487309 122499755 125586363 129153285 130203045 132407541 133497315 137177145 139499721 140633577 148287105 149370669 149492385 157483683 157499685 158779845 161468181 170238267 171499657 171639405 176370615 180814599 182284263 182302785 192048003 192204495 202479021 202499595 204145515 207601947 209289339 209310605 220499559 220679235 232475913 232499535 234389295 240295167 246918861 247120065 248951115 262472805 266916789 269086293 269113635 283499433 283730445 285803721 301357665 303807105 308950929 317467107 320080005 325499349 328145013 337465035 345968091 346003245 348815565 364499271 367461927 367499265 376759089 387459855 390609135 397222623 400491945 411531435 418499163 421900731 444861315 448112007 448477155 472451049 472499055 476339535 484404543 510714801 514498971 514918215 529111845 542443797 542498915 546852789 546908355 576144009 576613485 607498785 612436545 622805841 627868017 627931815 661498677 662037705 697427739 697498605 703167885 720885501 740756583 746853345 759498481 787418415 800750367 807258879 807340905 850498299 851191335 857411163 857498285 904072995 911421315 926852787 952401321 960240015 976498047 984435039 1012395105 1038009735 1046446695 1093497813 1102385781 1102497795 1130277267 1162379565 1191667869 1201475835 1234594305 1255497489 1265702193 1334583945 1344336021 1345431465 1417353147 1417497165 1429018605 1453213629 1532144403 1543496913 1544754645 1587335535 1627331391 1627496745 1640725065 1728432027 1729840455 1822496355 1837309635 1868417523 1883604051 1883795445 1984496031 1986113115 2092283217 2092495815 2109503655 2162656503 2222269749 2240560035 2278495443 2362255245 2402251101 2421776637 2422022715 2551494897 2553574005 2572233489 2572494855 2712218985 2734263945 2780558361 2857203963 2880720045 2929494141 2953305117 3114029205 3139340085 3280493439 3307157343 3307493385 3390831801 3487138695 3575003607 3604427505 3703782915 3766492467 3797106579 3797492405 4003751835 4033008063 4036294395 4252491495 4287055815 4359640887 4630490739 4634263935 4762006605 4881994173 4882490235 4922175195 5185296081 5316489367 5467489065 5511928905 5605252569 5650812153 5651386335 5953488093 5958339345 6276849651 6277487445 6328510965 6487969509 6666809247 6721680105 6835486329 7086765735 7206753303 7266068145 7654484691 7660722015 7716700467 7717484565 8136656955 8341675083 8571611889 8642160135 8788482423 8859915351 9342087615 9418020255 9841480317 9921472029 9922480155 10172495403 10461416085 10725010821 10813282515 11111348745 11299477401 11391319737 11392477215 12011255505 12099024189 12108883185 12757474485 12861167445 13078922661 13891472217 13902791805 14286019815 14645982519 14647470705 14766525585 15555888243 15949468101 16402467195 16535786715 16815757707 16952436459 16954159005 17860464279 17875018035 18832462335 18985532895 19463908527 20000427741 20165040315 20506458987 21620259909 21798204435 22963454073 23150101401 23152453695 24409970865 25025025249 25714835667 25926480405 26365447269 26579746053 26582446835 28026262845 28254060765 29524440951 29767440465 30517486209 31384248255 32439847545 33334046235 33898432203 34173959211 34177431645 36033766515 36297072567 38272423455 38583502335 39236767983 41674416651 41708375415 42858059445 43937947557 43942412115 44299576755 46667664729 47848404303 49207401585 49607360145 50447273121 50862477015 53581392837 53625054105 56497387005 56956598685 58391725581 60001283223 60495120945 61519376961 64860779727 65394613305 68890362219 69450304203 69457361085 73229912595 75075075747 77779441215 79096341807 79739238159 79747340505 84078788535 84762182295 88573322853 89302321395 91552458627 97319542635 100002138705 101695296609 102521877633 102532294935 108101299545 108891217701 114817270365 115750507005 117710303949 125023249953 125125126245 128574178335 131827236345 132898730265 140002994187 143545212909 147622204755 151341819363 152587431045 160744178511 169492161015 170869796055 175175176743 180003849669 181485362835 184558130883 194582339181 196183839915 206671086657 208372083255 219689737785 233338323645 237289025421 239217714477 239242021515 252236365605 265719968559 267906964185 274657375881 291958627905 300006416115 305085889827 307565632899 307596884805 324303898635 326673653103 344451811095 347251521015 353130911847 375069749859 375375378735 395481709035 398696190795 420008982561 430635638727 442866614265 454025458089 457762293135 482232535533 508476483045 512609388165 525525530229 544456088505 553674392649 588551519745 620013259971 625116249765 700014970935 711867076263 717653143431 717726064545 756709096815 797159905677 803720892555 823972127643 875875883715 900019248345 915257669481 922790654415 972911695905 980020959309 1033355433285 1059392735541 1125209249577 1186445127105 1196088572385 1260026947683 1291906916181 1328599842795 1362076374267 1373286879405 1446697606599 1525429449135 1537828164495 1633368265515 1661023177947 1765654559235 1860039779913 1875348749295 2100044912805 2135601228789 2152959430293 2153178193635 2270127290445 2411162677665 2471916382929 2627627651145 2745773008443 2768371963245 2940062877927 3100066299855 3178178206623 3375627748731 3559335381315 3588265717155 3875720748543 3985799528385 4119860638215 4340092819797 4576288347405 4900104796545 4983069533841 5296963677705 5580119339739 5626046247885 6300134738415 6406803686367 6459534580905 6810381871335 7233488032995 7415749148787 8237319025329 8305115889735 8820188633781 9300198899565 9534534619869 10126883246193 10678006143945 10764797151465 11627162245629 12359581914645 13020278459391 13728865042215 14700314389635 14949208601523 15890891033115 16878138743655 19220411059101 19378603742715 21700464098985 22247247446361 24711957075987 24915347669205 27900596698695 30380649738579 32034018431835 34881486736887 37078745743935 39060835378173 41186595126645 44100943168905 44847625804569 47672673099345 50634416230965 57661233177303 58135811228145 65101392296955 66741742339083 74746043007615 91141949215737 96102055295505 104644460210661 111236237231805 123559785379935 134542877413707 151903248692895 172983699531909 174407433684435 195304176890865 224238129022845 273425847647211 288306165886515 313933380631983 333708711695415 403628632241121 455709746078685 523222301053305 672714387068535 864918497659545 941800141895949 1210885896723363 1367129238236055 1569666903159915 2018143161205605 2825400425687847 4709000709479745 6054429483616815 8476201277063541 14127002128439235 42381006385317705
- Sum of all divisors σ(n): 92654896560681600
- Sum of proper divisors (its aliquot sum) s(n): 50273890175363895
- 42381006385317705 is an abundant number, because the sum of its proper divisors (50273890175363895) is greater than itself. Its abundance is 7892883790046190
Bases of 42381006385317705
- Binary: 100101101001000101001100111111101101001000000111010010012
- Hexadecimal: 0x96914CFED20749
- Base-36: BLAT9JWNRK9
Squares and roots of 42381006385317705
- 42381006385317705 squared (423810063853177052) is 1796149702232340083492193786467025
- 42381006385317705 cubed (423810063853177053) is 76122631999295299573121823568142200543884131177625
-
The
square root of 42381006385317705 is 205866477.0799697369 -
The
cube root of 42381006385317705 is 348650.6038885265
Scales and comparisons
How big is 42381006385317705?- 42,381,006,385,317,705 seconds is equal to 1,347,584,909 years, 51 weeks, 4 days, 11 hours, 21 minutes, 45 seconds.
-
To count from 1 to 42,381,006,385,317,705 would take you about four billion, forty-two million, seven hundred fifty-four thousand, seven hundred twenty-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 42381006385317705 cubic inches would be around 29054.2 feet tall.
Recreational maths with 42381006385317705
- 42381006385317705 backwards is 50771358360018324
- 42381006385317705 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42381006385317705's digits is 63
- More coming soon!
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The information we have on file for 42381006385317705 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 42381006385317705, math, Factors of 42381006385317705, curriculum, school, college, exams, university, Prime factorization of 42381006385317705, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, three hundred eighty-one trillion, six billion, three hundred eighty-five million, three hundred seventeen thousand, seven hundred five.