428481752998464
428,481,752,998,464 is an even composite number composed of six prime numbers multiplied together.
What does the number 428481752998464 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
428481752998464 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 428481752998464:
26 × 32 × 113 × 29 × 71 × 5212
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 29 × 71 × 521 × 521)See below for interesting mathematical facts about the number 428481752998464 from the Numbermatics database.
Names of 428481752998464
- Cardinal: 428481752998464 can be written as Four hundred twenty-eight trillion, four hundred eighty-one billion, seven hundred fifty-two million, nine hundred ninety-eight thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 4.28481752998464 × 1014
Factors of 428481752998464
Divisors of 428481752998464
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 29 32 33 36 44 48 58 64 66 71 72 87 88 96 99 116 121 132 142 144 174 176 192 198 213 232 242 261 264 284 288 319 348 352 363 396 426 464 484 521 522 528 568 576 638 639 696 704 726 781 792 852 928 957 968 1042 1044 1056 1089 1136 1276 1278 1331 1392 1452 1562 1563 1584 1704 1856 1914 1936 2059 2084 2088 2112 2178 2272 2343 2552 2556 2662 2784 2871 2904 3124 3126 3168 3408 3509 3828 3872 3993 4118 4168 4176 4356 4544 4686 4689 5104 5112 5324 5568 5731 5742 5808 6177 6248 6252 6336 6816 7018 7029 7656 7744 7986 8236 8336 8352 8591 8712 9372 9378 10208 10224 10527 10648 11462 11484 11616 11979 12354 12496 12504 13632 14036 14058 15109 15312 15972 16472 16672 16704 17182 17193 17424 18531 18744 18756 20416 20448 21054 21296 22649 22924 22968 23232 23958 24708 24992 25008 25773 28072 28116 30218 30624 31581 31944 32944 33344 34364 34386 34848 36991 37062 37488 37512 38599 40896 42108 42592 45298 45327 45848 45936 47916 49416 49984 50016 51546 51579 56144 56232 60436 61248 63041 63162 63888 65888 67947 68728 68772 69696 73982 74124 74976 75024 77198 77319 84216 85184 90596 90654 91696 91872 94501 95832 98832 100032 103092 103158 110973 112288 112464 115797 120872 126082 126324 127776 131776 135894 135981 137456 137544 147964 148248 149952 150048 154396 154638 166199 168432 181192 181308 183392 183744 189002 189123 191664 197664 203841 206184 206316 221946 224576 224928 231594 241744 249139 252164 252648 255552 271441 271788 271962 274912 275088 283503 295928 296496 300096 308792 309276 332398 332919 336864 347391 362384 362616 366784 378004 378246 383328 395328 406901 407682 412368 412632 443892 449856 463188 483488 498278 498597 504328 505296 542882 543576 543924 549824 550176 567006 567369 591856 592992 617584 618552 664796 665838 673728 693451 694782 724768 725232 747417 756008 756492 766656 813802 814323 815364 824736 825264 850509 887784 926376 966976 996556 997194 1008656 1010592 1072739 1085764 1087152 1087848 1100352 1134012 1134738 1183712 1185984 1220703 1235168 1237104 1329592 1331676 1386902 1389564 1449536 1450464 1494834 1495791 1512016 1512984 1627604 1628646 1630728 1649472 1650528 1701018 1775568 1828189 1852752 1993112 1994388 2017312 2021184 2080353 2145478 2171528 2174304 2175696 2242251 2268024 2269476 2367424 2441406 2442969 2470336 2474208 2659184 2663352 2740529 2773804 2779128 2900928 2985851 2989668 2991582 3024032 3025968 3218217 3255208 3257292 3261456 3301056 3402036 3551136 3656378 3662109 3705504 3986224 3988776 4034624 4160706 4290956 4343056 4348608 4351392 4475911 4484502 4536048 4538952 4882812 4885938 4948416 5318368 5326704 5481058 5484567 5547608 5558256 5971702 5979336 5983164 6048064 6051936 6241059 6436434 6510416 6514584 6522912 6804072 7102272 7312756 7324218 7411008 7871789 7972448 7977552 8221587 8321412 8581912 8686112 8702784 8951822 8957553 8969004 9072096 9077904 9654651 9765624 9771876 10636736 10653408 10962116 10969134 11095216 11116512 11800129 11943404 11958672 11966328 12103872 12482118 12872868 13020832 13029168 13045824 13427733 13608144 14625512 14648436 15743578 15944896 15955104 16443174 16453701 16642824 17163824 17372224 17903644 17915106 17938008 18144192 18155808 19272311 19309302 19531248 19543752 20110079 21306816 21924232 21938268 22190432 22233024 23600258 23615367 23886808 23917344 23932656 24664761 24964236 25745736 26041664 26058336 26855466 26872659 27216288 29251024 29296872 31487156 31910208 32844361 32886348 32907402 33285648 34327648 35400387 35807288 35830212 35876016 36311616 38544622 38618604 39062496 39087504 40220158 40283199 43848464 43876536 44380864 47200516 47230734 47773616 47834688 47865312 49235021 49329522 49928472 51491472 52116672 53710932 53745318 54432576 57816933 58502048 58593744 60330237 62974312 65688722 65772696 65814804 66571296 68655296 70800774 70846101 71614576 71660424 71752032 77089244 77237208 78124992 78175008 80440316 80566398 86589679 87696928 87753072 94401032 94461468 95547232 95730624 98470042 98533083 98659044 99856944 102982944 106201161 107421864 107490636 115633866 117004096 117187488 120660474 125948624 129801419 131377444 131545392 131629608 133142592 141601548 141692202 143229152 143320848 143504064 147705063 154178488 154474416 156350016 160880632 161132796 173179358 173450799 175393856 175506144 180990711 188802064 188922936 191094464 196940084 197066166 197318088 199713888 205965888 211995421 212402322 214843728 214981272 231267732 234374976 241320948 251897248 259602838 259769037 262754888 263090784 263259216 283203096 283384404 286458304 286641696 295410126 295599249 308356976 308948832 321761264 322265592 346358716 346901598 351012288 361287971 361981422 377604128 377845872 389404257 393880168 394132332 394636176 399427776 423990842 424804644 429687456 429962544 443115189 462535464 482641896 503794496 519205676 519538074 525509776 526181568 526518432 558897019 566406192 566768808 573283392 590820252 591198498 616713952 617897664 635986263 643522528 644531184 692717432 693803196 722575942 723962844 755208256 755691744 778808514 779307111 787760336 788264664 789272352 847981684 849609288 859374912 859925088 886230378 925070928 952486469 965283792 1038411352 1039076148 1051019552 1053036864 1083863913 1117794038 1132812384 1133537616 1168212771 1181640504 1182396996 1233427904 1271972526 1287045056 1289062368 1385434864 1387606392 1427815609 1445151884 1447925688 1511383488 1557617028 1558614222 1575520672 1576529328 1578544704 1676691057 1695963368 1699218576 1719850176 1772460756 1850141856 1904972938 1907958789 1930567584 2076822704 2078152296 2102039104 2167727826 2235588076 2265624768 2267075232 2331949631 2336425542 2363281008 2364793992 2543945052 2578124736 2770869728 2775212784 2855631218 2857459407 2890303768 2895851376 3115234056 3117228444 3151041344 3153058656 3251591739 3353382114 3391926736 3398437152 3544921512 3700283712 3809945876 3815917578 3861135168 4153645408 4156304592 4283446827 4335455652 4471176152 4534150464 4663899262 4672851084 4726562016 4729587984 5030073171 5087890104 5541739456 5550425568 5711262436 5714918814 5780607536 5791702752 6147867209 6230468112 6234456888 6306117312 6503183478 6706764228 6783853472 6796874304 6995848893 7089843024 7619891752 7631835156 8307290816 8312609184 8566893654 8572378221 8670911304 8942352304 9327798524 9345702168 9453124032 9459175968 10060146342 10175780208 10477351159 11100851136 11422524872 11429837628 11561215072 11583405504 12295734418 12460936224 12468913776 12850340481 13006366956 13413528456 13567706944 13991697786 14179686048 15239783504 15263670312 16625218368 17133787308 17144756442 17341822608 17884704608 18443601627 18655597048 18691404336 18918351936 20120292684 20351560416 20954702318 20987546679 22845049744 22859675256 23122430144 24591468836 24921872448 24937827552 25651445941 25700680962 26012733912 26827056912 27983395572 28359372096 30479567008 30527340624 31432053477 34267574616 34289512884 34683645216 35769409216 36887203254 37311194096 37382808672 40240585368 40703120832 41909404636 41975093358 45690099488 45719350512 49182937672 49875655104 51302891882 51401361924 52025467824 53654113824 55330804881 55966791144 60959134016 61054681248 62864106954 67626539299 68535149232 68579025768 69367290432 73774406508 74622388192 74765617344 76954337823 80481170736 83818809272 83950186716 91380198976 91438701024 94296160431 98365875344 102605783764 102802723848 104050935648 107308227648 110661609762 111933582288 122109362496 125728213908 135253078598 137070298464 137158051536 147548813016 149244776384 153908675646 160962341472 167637618544 167900373432 182877402048 188592320862 196731750688 202879617897 205211567528 205605447696 208101871296 221323219524 223867164576 230863013469 251456427816 270506157196 274140596928 274316103072 295097626032 307817351292 321924682944 335275237088 335800746864 377184641724 393463501376 405759235794 410423135056 411210895392 442646439048 447734329152 461726026938 502912855632 541012314392 548632206144 590195252064 608638853691 615634702584 670550474176 671601493728 743891932289 754369283448 811518471588 820846270112 822421790784 885292878096 923452053876 1005825711264 1082024628784 1180390504128 1217277707382 1231269405168 1343202987456 1487783864578 1508738566896 1623036943176 1641692540224 1770585756192 1846904107752 2011651422528 2164049257568 2231675796867 2434555414764 2462538810336 2975567729156 3017477133792 3246073886352 3541171512384 3693808215504 4328098515136 4463351593734 4869110829528 4925077620672 5951135458312 6034954267584 6492147772704 6695027390601 7387616431008 8926703187468 9738221659056 11902270916624 12984295545408 13390054781202 14775232862016 17853406374936 19476443318112 23804541833248 26780109562404 35706812749872 38952886636224 47609083666496 53560219124808 71413625499744 107120438249616 142827250999488 214240876499232 428481752998464
- Sum of all divisors σ(n): 1419880269525120
- Sum of proper divisors (its aliquot sum) s(n): 991398516526656
- 428481752998464 is an abundant number, because the sum of its proper divisors (991398516526656) is greater than itself. Its abundance is 562916763528192
Bases of 428481752998464
- Binary: 11000010110110011101011101010111000100010010000002
- Hexadecimal: 0x185B3AEAE2240
- Base-36: 47VTSSNWW0
Squares and roots of 428481752998464
- 428481752998464 squared (4284817529984642) is 183596612652636713054786359296
- 428481752998464 cubed (4284817529984643) is 78667798433981754484838394280385774040121344
-
The
square root of 428481752998464 is 20699800.7961058407 -
The
cube root of 428481752998464 is 75389.4851385263
Scales and comparisons
How big is 428481752998464?- 428,481,752,998,464 seconds is equal to 13,624,394 years, 18 weeks, 6 days, 14 hours, 14 minutes, 24 seconds.
-
To count from 1 to 428,481,752,998,464 would take you about thirty-four million, sixty thousand, nine hundred eighty-five 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 428481752998464 cubic inches would be around 6282.5 feet tall.
Recreational maths with 428481752998464
- 428481752998464 backwards is 464899257184824
- The number of decimal digits it has is: 15
- The sum of 428481752998464's digits is 81
- 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 428481752998464 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 428481752998464 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/428481752998464/
Chicago style:
Numbermatics. 2024. "Number 428481752998464 - Facts about the integer". https://numbermatics.com/n/428481752998464/
The information we have on file for 428481752998464 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 428481752998464, math, Factors of 428481752998464, curriculum, school, college, exams, university, Prime factorization of 428481752998464, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, four hundred eighty-one billion, seven hundred fifty-two million, nine hundred ninety-eight thousand, four hundred sixty-four.