42090132594816
42,090,132,594,816 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42090132594816 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
42090132594816 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 42090132594816:
27 × 33 × 23 × 31 × 89 × 281 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 23 × 31 × 89 × 281 × 683)See below for interesting mathematical facts about the number 42090132594816 from the Numbermatics database.
Names of 42090132594816
- Cardinal: 42090132594816 can be written as Forty-two trillion, ninety billion, one hundred thirty-two million, five hundred ninety-four thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 4.2090132594816 × 1013
Factors of 42090132594816
Divisors of 42090132594816
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 31 32 36 46 48 54 62 64 69 72 89 92 93 96 108 124 128 138 144 178 184 186 192 207 216 248 267 276 279 281 288 356 368 372 384 414 432 496 534 552 558 562 576 621 683 712 713 736 744 801 828 837 843 864 992 1068 1104 1116 1124 1152 1242 1366 1424 1426 1472 1488 1602 1656 1674 1686 1728 1984 2047 2049 2136 2139 2208 2232 2248 2403 2484 2529 2732 2759 2848 2852 2944 2976 3204 3312 3348 3372 3456 3968 4094 4098 4272 4278 4416 4464 4496 4806 4968 5058 5464 5518 5696 5704 5952 6141 6147 6408 6417 6463 6624 6696 6744 7587 8188 8196 8277 8544 8556 8711 8832 8928 8992 9612 9936 10116 10928 11036 11392 11408 11904 12282 12294 12816 12834 12926 13248 13392 13488 15174 15709 16376 16392 16554 17088 17112 17422 17856 17984 18423 18441 19224 19251 19389 19872 20232 21173 21856 22072 22816 24564 24588 24831 25009 25632 25668 25852 26133 26496 26784 26976 30348 31418 32752 32784 33108 34176 34224 34844 35712 35968 36846 36882 38448 38502 38778 39744 40464 42346 43712 44144 45632 47127 49128 49176 49662 50018 51264 51336 51704 52266 53568 53952 55269 58167 60696 60787 62836 63457 63519 65504 65568 66216 68448 69688 73692 73764 74493 75027 76896 77004 77556 78399 79488 80928 84692 87424 88288 91264 94254 98256 98352 99324 100036 102528 102672 103408 104532 107136 107904 110538 116334 121392 121574 125672 126914 127038 131008 131136 132432 136896 139376 141381 147384 147528 148986 150054 153792 154008 155112 156798 161856 169384 174501 176576 182361 188508 190371 190557 191923 196512 196704 198648 200072 200353 205344 206816 209064 221076 225081 232668 235197 242784 243148 251344 253828 254076 262016 262272 264864 273792 278752 282762 294768 295056 297972 300108 307584 308016 310224 313596 323712 338768 349002 353152 364722 377016 380742 381114 383846 393024 393408 397296 400144 400706 410688 413632 418128 424143 442152 450162 465336 470394 485568 486296 486979 502688 507656 508152 529728 547083 557504 565524 571113 571671 575207 575769 589536 590112 595944 600216 601059 616032 620448 627192 675243 677536 698004 729444 754032 761484 762228 767692 775279 786048 786816 794592 800288 801412 821376 827264 836256 848286 884304 900324 930672 940788 971136 972592 973958 1005376 1015312 1016304 1059456 1094166 1115008 1131048 1142226 1143342 1150414 1151538 1179072 1180224 1191888 1200432 1202118 1232064 1240896 1254384 1350486 1355072 1396008 1398101 1458888 1460937 1508064 1522968 1524456 1535384 1550558 1589184 1600576 1602824 1641249 1672512 1696572 1713339 1725621 1727307 1768608 1800648 1803177 1861344 1881576 1884397 1945184 1947916 2010752 2030624 2032608 2188332 2262096 2284452 2286684 2300828 2303076 2325837 2358144 2360448 2383776 2400864 2404236 2464128 2481792 2508768 2700972 2710144 2792016 2796202 2917776 2921874 3016128 3045936 3048912 3070768 3101116 3178368 3201152 3205648 3282498 3345024 3393144 3426678 3451242 3454614 3537216 3601296 3606354 3722688 3763152 3768794 3890368 3895832 4061248 4065216 4194303 4376664 4382811 4414229 4524192 4568904 4573368 4601656 4606152 4651674 4767552 4801728 4808472 5017536 5176863 5181921 5401944 5409531 5584032 5592404 5653191 5835552 5843748 5949613 6032256 6091872 6097824 6141536 6202232 6411296 6564996 6786288 6853356 6902484 6909228 6977511 7074432 7202592 7212708 7445376 7526304 7537588 7780736 7791664 8122496 8130432 8388606 8753328 8765622 8828458 9048384 9137808 9146736 9203312 9212304 9303348 9535104 9603456 9616944 10035072 10353726 10363842 10803888 10819062 11168064 11184808 11306382 11671104 11687496 11899226 12183744 12195648 12283072 12404464 12582909 12822592 13129992 13148433 13242687 13572576 13706712 13804968 13818456 13955022 14405184 14425416 15052608 15075176 15530589 15583328 16777212 16959573 17081147 17506656 17531244 17656916 17831417 17848839 18096768 18275616 18293472 18406624 18424608 18606696 19233888 20707452 20727684 20932533 21607776 21638124 22336128 22369616 22612764 23342208 23374992 23798452 24367488 24391296 24566144 24808928 25165818 25645184 26259984 26296866 26485374 27145152 27413424 27609936 27636912 27910044 28810368 28850832 30105216 30150352 31061178 31166656 33554424 33919146 34162294 35013312 35062488 35313832 35662834 35697678 36551232 36586944 36813248 36849216 37213392 37748727 38467776 39728061 41414904 41455368 41865066 43215552 43276248 43341131 44739232 45225528 46749984 47596904 49617856 50331636 50878719 51243441 52519968 52593732 52970748 53494251 53546517 54290304 54826848 55219872 55273824 55820088 57701664 60300704 62122356 62333312 67108848 67838292 68324588 70026624 70124976 70627664 71325668 71395356 73102464 73173888 73626496 73698432 74426784 75497454 76935552 79456122 82829808 82910736 83730132 86431104 86552496 86682262 89478464 90451056 93499968 95193808 99235712 100663272 101757438 102486882 105039936 105187464 105941496 106988502 107093034 109653696 110439744 110547648 111640176 115403328 119184183 120601408 124244712 130023393 134217696 135676584 136649176 136841099 140249952 141255328 142651336 142790712 148853568 150994908 153730323 158912244 160482753 160639551 165659616 165821472 167460264 173104992 173364524 178956928 180902112 186999936 190387616 201326544 203514876 204973764 210079872 210374928 211882992 213977004 214186068 219307392 220879488 221095296 223280352 230806656 238368366 241202816 248489424 260046786 268435392 271353168 273298352 273682198 280499904 282510656 285302672 285581424 297707136 301989816 307460646 317824488 320965506 321279102 331319232 331642944 334920528 346209984 346729048 361804224 380775232 390070179 392866381 402653088 407029752 409947528 410523297 420749856 423765984 427954008 428372136 446560704 461190969 476736732 481448259 496978848 520093572 529515557 536870784 542706336 546596704 547364396 560999808 565021312 570605344 571162848 603979632 614921292 635648976 641931012 642558204 662638464 663285888 669841056 692419968 693458096 723608448 761550464 780140358 785732762 805306176 814059504 819895056 821046594 841499712 847531968 855908016 856744272 893121408 922381938 953473464 962896518 993957696 1040187144 1059031114 1085412672 1093193408 1094728792 1141210688 1142325696 1170210537 1178599143 1207959264 1229842584 1231569891 1271297952 1283862024 1285116408 1339682112 1386916192 1560280716 1571465524 1588546671 1610612352 1628119008 1639790112 1642093188 1682999424 1695063936 1711816032 1713488544 1844763876 1906946928 1925793036 1987915392 2080374288 2118062228 2170825344 2186386816 2189457584 2282421376 2284651392 2340421074 2357198286 2415918528 2459685168 2463139782 2542595904 2567724048 2570232816 2679364224 2773832384 3120561432 3142931048 3177093342 3256238016 3279580224 3284186376 3423632064 3426977088 3535797429 3689527752 3694709673 3813893856 3851586072 4160748576 4236124456 4378915168 4680842148 4714396572 4765640013 4831837056 4919370336 4926279564 5085191808 5135448096 5140465632 5547664768 6241122864 6285862096 6354186684 6512476032 6559160448 6568372752 6847264128 6853954176 7071594858 7379055504 7389419346 7627787712 7703172144 8321497152 8472248912 8757830336 9361684296 9428793144 9531280026 9838740672 9852559128 10270896192 10280931264 10607392287 12178857811 12482245728 12571724192 12708373368 13136745504 14143189716 14296920039 14758111008 14778838692 15255575424 15406344288 16642994304 16944497824 17515660672 18723368592 18857586288 19062560052 19677481344 19705118256 20541792384 20561862528 21214784574 24357715622 24964491456 25143448384 25416746736 26273491008 28286379432 28593840078 29516222016 29557677384 30812688576 33888995648 36536573433 37446737184 37715172576 38125120104 39410236512 42429569148 48715431244 49928982912 50286896768 50833493472 52546982016 56572758864 57187680156 59032444032 59115354768 61625377152 67777991296 73073146866 74893474368 75430345152 76250240208 78820473024 84859138296 97430862488 101666986944 109609720299 113145517728 114375360312 118230709536 146146293732 149786948736 150860690304 152500480416 157640946048 169718276592 194861724976 203333973888 219219440598 226291035456 228750720624 236461419072 292292587464 305000960832 328829160897 339436553184 389723449952 438438881196 452582070912 457501441248 472922838144 584585174928 610001921664 657658321794 678873106368 779446899904 876877762392 915002882496 1169170349856 1315316643588 1357746212736 1558893799808 1753755524784 1830005764992 2338340699712 2630633287176 3507511049568 4676681399424 5261266574352 7015022099136 10522533148704 14030044198272 21045066297408 42090132594816
- Sum of all divisors σ(n): 135990669312000
- Sum of proper divisors (its aliquot sum) s(n): 93900536717184
- 42090132594816 is an abundant number, because the sum of its proper divisors (93900536717184) is greater than itself. Its abundance is 51810404122368
Bases of 42090132594816
- Binary: 10011001000111110111110110011011100000100000002
- Hexadecimal: 0x2647DF66E080
- Base-36: EX3XU7MO0
Squares and roots of 42090132594816
- 42090132594816 squared (420901325948162) is 1771579261849192265230073856
- 42090132594816 cubed (420901325948163) is 74566006033458756753001965403880602730496
-
The
square root of 42090132594816 is 6487690.8522845013 -
The
cube root of 42090132594816 is 34785.1140242771
Scales and comparisons
How big is 42090132594816?- 42,090,132,594,816 seconds is equal to 1,338,336 years, 1 week, 1 day, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 42,090,132,594,816 would take you about three million, three hundred forty-five thousand, eight hundred forty 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 42090132594816 cubic inches would be around 2898.8 feet tall.
Recreational maths with 42090132594816
- 42090132594816 backwards is 61849523109024
- 42090132594816 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42090132594816's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 42090132594816 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
APA style:
Numbermatics. (2024). Number 42090132594816 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/42090132594816/
Chicago style:
Numbermatics. 2024. "Number 42090132594816 - Facts about the integer". https://numbermatics.com/n/42090132594816/
The information we have on file for 42090132594816 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 42090132594816, math, Factors of 42090132594816, curriculum, school, college, exams, university, Prime factorization of 42090132594816, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, ninety billion, one hundred thirty-two million, five hundred ninety-four thousand, eight hundred sixteen.