42385312741704975
42,385,312,741,704,975 is an odd composite number composed of five prime numbers multiplied together.
What does the number 42385312741704975 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
42385312741704975 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 42385312741704975:
34 × 52 × 73 × 313 × 1273
(3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 31 × 31 × 31 × 127 × 127 × 127)See below for interesting mathematical facts about the number 42385312741704975 from the Numbermatics database.
Names of 42385312741704975
- Cardinal: 42385312741704975 can be written as Forty-two quadrillion, three hundred eighty-five trillion, three hundred twelve billion, seven hundred forty-one million, seven hundred four thousand, nine hundred seventy-five.
Scientific notation
- Scientific notation: 4.2385312741704975 × 1016
Factors of 42385312741704975
Divisors of 42385312741704975
- Number of divisors d(n): 960
-
Complete list of divisors:
1 3 5 7 9 15 21 25 27 31 35 45 49 63 75 81 93 105 127 135 147 155 175 189 217 225 245 279 315 343 381 405 441 465 525 567 635 651 675 735 775 837 889 945 961 1029 1085 1143 1225 1323 1395 1519 1575 1715 1905 1953 2025 2205 2325 2511 2667 2835 2883 3087 3175 3255 3429 3675 3937 3969 4185 4445 4557 4725 4805 5145 5425 5715 5859 6223 6615 6727 6975 7595 8001 8575 8649 9261 9525 9765 10287 10633 11025 11811 12555 13335 13671 14175 14415 15435 16129 16275 17145 17577 18669 19685 19845 20181 20925 22225 22785 24003 24025 25725 25947 27559 27783 28575 29295 29791 31115 31899 33075 33635 35433 37975 40005 41013 43245 43561 46305 47089 48387 48825 51435 53165 56007 59055 60543 62775 66675 68355 72009 72075 77175 77841 80645 82677 85725 87885 89373 93345 95697 98425 99225 100905 106299 112903 113925 120015 122047 123039 129735 130683 137795 138915 141267 145161 146475 148955 155575 159495 168021 168175 177165 181629 192913 200025 205065 208537 216225 217805 231525 235445 241935 248031 257175 265825 268119 280035 287091 295275 302715 318897 329623 338709 341775 360045 366141 389205 392049 403225 413385 423801 435483 439425 446865 466725 478485 499999 504063 504525 531495 544887 564515 578739 600075 610235 615195 625611 648675 653415 688975 694575 706335 725805 744093 744775 790321 797475 804357 840105 854329 861273 885825 908145 964565 988869 1016127 1025325 1042685 1089025 1098423 1176147 1177225 1209675 1240155 1271403 1306449 1340595 1350391 1400175 1435455 1459759 1499997 1513575 1594485 1648115 1693545 1736217 1800225 1830705 1876833 1946025 1960245 2048383 2066925 2119005 2177415 2232279 2234325 2370963 2392425 2413071 2499995 2520315 2562987 2657475 2724435 2822575 2893695 2966607 3048381 3051175 3075975 3128055 3267075 3295269 3499993 3528441 3531675 3629025 3720465 3783457 3814209 3951605 4021785 4051173 4200525 4271645 4306365 4379277 4499991 4540725 4822825 4944345 5080635 5208651 5213425 5492115 5532247 5630499 5880735 5980303 6145149 6200775 6357015 6532245 6702975 6751955 7112889 7177275 7298795 7499985 7688961 7972425 8240575 8467725 8681085 8899821 9145143 9153525 9384165 9801225 9885807 10218313 10241915 10499979 10595025 10887075 11161395 11350371 11854815 12065355 12153519 12499975 12601575 12814935 13137831 13499973 13622175 14338681 14468475 14833035 15241905 15499969 15625953 15640275 16476345 16596741 16891497 17499965 17642205 17940909 18435447 18602325 18917285 19071045 19758025 20108925 20255865 21338667 21358225 21531825 21896385 22499955 23066883 24499951 24721725 25403175 26043255 26484199 26699463 27460575 27661235 28152495 29403675 29901515 30654939 30725745 31499937 31785075 32661225 33759775 34051113 35564445 36460557 36493975 37499925 38444805 39413493 40499919 41862121 43016043 43405425 44499105 45725715 46499907 46920825 49429035 49790223 51091565 51209575 52499895 53822727 55306341 55806975 56751855 59274075 60326775 60767595 63499873 64016001 64074675 65689155 67499865 69200649 71693405 73499853 74165175 76209525 77499845 78129765 79452597 82381725 82983705 84457485 87499825 88211025 89704545 91964817 92177235 94499811 94586425 95355225 100370767 101279325 102153339 106693335 108499783 109381671 109481925 112499775 115334415 118240479 122499755 125586363 129048129 130216275 132420995 133497315 138306175 139499721 140762475 149370669 149507575 153274695 153628725 157499685 161468181 165919023 170255565 171499657 177822225 182302785 185389393 190499619 192224025 197067465 202499595 209310605 215080215 220499559 222495525 228628575 232499535 238357791 247145175 248951115 255457825 262499475 269113635 275894451 276531705 283499433 283759275 301112301 303837975 306460017 317499365 320080005 325499349 328445775 337499325 346003245 358467025 367499265 376759089 387144387 387499225 390648825 397262985 414918525 418499163 422287425 444499111 448112007 448522725 459824085 460886175 472499055 480499039 484404543 501853835 510766695 514498971 533466675 542498915 546908355 556168179 571498857 576672075 591202395 612498775 627931815 645240645 661498677 662104975 667486575 697498605 702595369 715073373 746853345 759498481 766373475 787498425 807340905 827683353 829595115 851277825 857498285 903336903 911513925 926946965 952498095 976498047 985337325 1012497975 1046553025 1075401075 1102497795 1130277267 1161433161 1162497675 1191788955 1244755575 1255497489 1297725751 1333497333 1345568175 1379472255 1382658525 1417497165 1441497117 1505561505 1532300085 1543496913 1587496825 1600400025 1627496745 1668504537 1714496571 1730016225 1837496325 1883795445 1935721935 1968496063 1984496031 1986314925 2092495815 2107786107 2145220119 2222495555 2240560035 2278495443 2299120425 2362495275 2402495195 2422022715 2509269175 2553833475 2572494855 2710010709 2712494575 2734541775 2780840895 2857494285 2929494141 2956011975 3111493777 3139659075 3226203225 3307493385 3363493273 3390831801 3487493025 3512976845 3575366865 3734266725 3797492405 3893177253 4000491999 4036704525 4138416765 4147975575 4287491425 4324491351 4516684515 4630490739 4634734825 4762490475 4882490235 5005513611 5143489713 5316489367 5512488975 5651386335 5807165805 5905488189 5958944775 6277487445 6323358321 6488628755 6667486665 6835486329 6897361275 7087485825 7207485585 7527807525 7661500425 7717484565 8130032127 8137483725 8342522685 8572482855 8788482423 9334481331 9418977225 9678609675 9842480315 9922480155 10090479819 10462479075 10538930535 10726100595 11112477775 11202800175 11392477215 11679531759 12001475997 12012475975 12110113575 12862474275 12973474053 13550053545 13779472441 13891472217 13904204475 14287471425 14647470705 15016540833 15557468885 15949468101 16537466925 16817466365 16954159005 17564884225 17716464567 17876834325 18970074963 18987462025 19465886265 20002459995 20506458987 20692083825 21622456755 21780456439 22583422575 23152453695 23544452911 24412451175 25027568055 25717448565 26582446835 28003443993 28256931675 29035829025 29527440945 30271439457 31387437225 31616791605 32443143775 33337433325 34177431645 35038595277 36004427991 36037427925 38587422825 38920422159 40650160635 41338417323 41712613425 42862414275 43942412115 46672406655 47848404303 49212401575 49612400775 50452399095 52694652675 53149393701 53630502975 56910224889 56962386075 58397658795 60007379985 61023377953 61519376961 64867370265 65341369317 67750267725 68897362205 69457361085 70633358733 73237353525 75082704165 77787344425 79747340505 84010331979 84087331825 84770795025 88582322835 90814318371 94850374815 96456307087 97329431325 100012299975 102532294935 105115785831 108112283775 108902282195 115762268475 117722264555 124015251969 125137840275 128587242825 132912234175 140017219965 143545212909 147637204725 151357197285 158083958025 159448181103 164811170377 170887158225 175192976385 180022139955 183070133859 194602110795 196024107951 203250803175 206692086615 211900076199 219712060575 233362033275 239242021515 252030995937 252261995475 265746968505 272442955113 284551124445 289368921261 291988293975 300036899925 305116889765 307596884805 324336851325 326706846585 344486811025 347286805425 353166793665 372045755907 375413520825 398736702525 420051659895 427163645671 430635638727 442911614175 454071591855 474251874075 482281535435 494433511131 512661474675 525578929155 544511410975 549210401577 588072323853 588611322775 620076259845 635700228597 675194149609 700086099825 717726064545 756785986425 797240905515 824055851885 868106763783 875964881925 900110699775 915350669295 973010553975 980120539755 1033460433075 1059500380995 1116137267721 1196210107575 1260154979685 1281490937013 1328734842525 1362214775565 1422755622225 1446844606305 1483300533393 1525584448825 1537984424025 1633534232925 1647631204731 1764216971559 1765833968325 1860228779535 1907100685791 2025582448827 2100258299475 2135818228355 2153178193635 2270357959275 2411407677175 2472167555655 2604320291349 2627894645775 2746052007885 2940361619265 2990145519697 3100381299225 3178501142985 3375970748045 3588630322725 3844472811039 3986204527575 4120279259425 4340533818915 4449901600179 4576753346475 4900602698775 4942893614193 5297501904975 5580686338605 6076747346481 6300774898425 6407454685065 6811073877825 7234223031525 7416502666965 7812960874047 8238156023655 8821084857795 8970436559091 9301143897675 9535503428955 10127912244135 10679091141775 10765890968175 11533418433117 12360837778275 13021601456745 13349704800537 13730260039425 14701808096325 14950727598485 15892505714925 16879853740225 18230242039443 19222364055195 20931018637879 21702669094575 22249508000895 24714468070965 26911309677273 27903431693025 30383736732405 32037273425325 34600255299351 37082513334825 39064804370235 41190780118275 44105424288975 44852182795455 47677517144775 50639561220675 54690726118329 57667092165585 62793055913637 65108007283725 66748524002685 74753637992425 80733929031819 91151210197215 96111820275975 104655093189395 111247540004475 123572340354825 134556548386365 151918683662025 173001276496755 188379167740911 195324021851175 224260913977275 242201787095457 273453630591645 288335460827925 313965279568185 333742620013425 403669645159095 455756050986075 523275465946975 565137503222733 672782741931825 865006382483775 941895838704555 1211008935477285 1367268152958225 1569826397840925 1695412509668199 2018348225795475 2825687516113665 4709479193522775 6055044677386425 8477062548340995 14128437580568325 42385312741704975
- Sum of all divisors σ(n): 95362239791104000
- Sum of proper divisors (its aliquot sum) s(n): 52976927049399025
- 42385312741704975 is an abundant number, because the sum of its proper divisors (52976927049399025) is greater than itself. Its abundance is 10591614307694050
Bases of 42385312741704975
- Binary: 100101101001010100110111101001011010100111000101000011112
- Hexadecimal: 0x969537A5A9C50F
- Base-36: BLCC7V62DXR
Squares and roots of 42385312741704975
- 42385312741704975 squared (423853127417049752) is 1796514736212138104780669939750625
- 42385312741704975 cubed (423853127417049753) is 76145838939433089267572874668245620965988821859375
-
The
square root of 42385312741704975 is 205876935.9148930383 -
The
cube root of 42385312741704975 is 348662.4123457637
Scales and comparisons
How big is 42385312741704975?- 42,385,312,741,704,975 seconds is equal to 1,347,721,838 years, 41 weeks, 6 days, 6 hours, 56 minutes, 15 seconds.
-
To count from 1 to 42,385,312,741,704,975 would take you about four billion, forty-three million, one hundred sixty-five thousand, five hundred sixteen 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 42385312741704975 cubic inches would be around 29055.2 feet tall.
Recreational maths with 42385312741704975
- 42385312741704975 backwards is 57940714721358324
- The number of decimal digits it has is: 17
- The sum of 42385312741704975's digits is 72
- More coming soon!
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The information we have on file for 42385312741704975 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 42385312741704975, math, Factors of 42385312741704975, curriculum, school, college, exams, university, Prime factorization of 42385312741704975, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, three hundred eighty-five trillion, three hundred twelve billion, seven hundred forty-one million, seven hundred four thousand, nine hundred seventy-five.