480671880029128832
480,671,880,029,128,832 is an even composite number composed of four prime numbers multiplied together.
What does the number 480671880029128832 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 840 divisors.
480671880029128832 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 480671880029128832:
27 × 114 × 172 × 316
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 11 × 11 × 17 × 17 × 31 × 31 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 480671880029128832 from the Numbermatics database.
Names of 480671880029128832
- Cardinal: 480671880029128832 can be written as Four hundred eighty quadrillion, six hundred seventy-one trillion, eight hundred eighty billion, twenty-nine million, one hundred twenty-eight thousand, eight hundred thirty-two.
Scientific notation
- Scientific notation: 4.80671880029128832 × 1017
Factors of 480671880029128832
Divisors of 480671880029128832
- Number of divisors d(n): 840
-
Complete list of divisors:
1 2 4 8 11 16 17 22 31 32 34 44 62 64 68 88 121 124 128 136 176 187 242 248 272 289 341 352 374 484 496 527 544 578 682 704 748 961 968 992 1054 1088 1156 1331 1364 1408 1496 1922 1936 1984 2057 2108 2176 2312 2662 2728 2992 3179 3751 3844 3872 3968 4114 4216 4624 5324 5456 5797 5984 6358 7502 7688 7744 8228 8432 8959 9248 10571 10648 10912 11594 11968 12716 14641 15004 15376 15488 16337 16456 16864 17918 18496 21142 21296 21824 22627 23188 23936 25432 29282 29791 30008 30752 32674 32912 33728 34969 35836 36992 41261 42284 42592 43648 45254 46376 50864 58564 59582 60016 61504 63767 65348 65824 67456 69938 71672 82522 84568 85184 90508 92752 98549 101728 116281 117128 119164 120032 123008 127534 130696 131648 139876 143344 165044 169136 170368 179707 181016 185504 197098 203456 232562 234256 238328 240064 248897 255068 261392 263296 277729 279752 286688 327701 330088 338272 359414 362032 371008 384659 394196 406912 453871 465124 468512 476656 480128 497794 506447 510136 522784 555458 559504 573376 655402 660176 676544 701437 718828 724064 742016 769318 788392 907742 923521 930248 937024 953312 995588 1012894 1020272 1045568 1084039 1110916 1119008 1146752 1279091 1310804 1320352 1353088 1402874 1437656 1448128 1538636 1576784 1815484 1847042 1860496 1874048 1906624 1976777 1991176 2025788 2040544 2091136 2168078 2221832 2238016 2558182 2621608 2640704 2805748 2875312 2896256 3055019 3077272 3153568 3604711 3630968 3694084 3720992 3813248 3953554 3982352 4051576 4081088 4231249 4336156 4443664 4476032 5116364 5243216 5281408 5570917 5611496 5750624 6110038 6154544 6307136 7209422 7261936 7388168 7441984 7715807 7907108 7964704 8103152 8162176 8462498 8609599 8672312 8887328 10158731 10232728 10486432 11141834 11222992 11501248 11924429 12220076 12309088 12614272 14070001 14418844 14523872 14776336 14883968 15431614 15699857 15814216 15929408 16206304 16924996 17219198 17344624 17774656 20317462 20465456 20972864 21744547 22283668 22445984 23002496 23848858 24440152 24618176 28140002 28629151 28837688 29047744 29552672 30863228 31399714 31628432 31858816 32412608 33605209 33849992 34438396 34689248 35549312 39651821 40634924 40930912 41945728 43489094 44567336 44891968 47697716 48880304 49236352 56280004 57258302 57675376 58095488 59105344 61280087 61726456 62799428 63256864 64825216 67210418 67699984 68876792 69378496 79303642 81269848 81861824 86978188 89134672 89783936 94705589 95395432 97760608 111746041 112560008 114516604 115350752 118210688 122560174 123452912 125598856 126513728 131168719 134420836 135399968 137753584 138756992 158607284 162539696 163723648 172698427 173956376 178269344 189411178 190790864 195521216 223492082 225120016 229033208 230701504 239190017 245120348 246905824 251197712 253027456 262337438 266897569 268841672 270799936 275507168 314920661 317214568 325079392 345396854 347912752 356538688 369657299 378822356 381581728 391042432 436170031 446984164 450240032 458066416 461403008 478380034 486695567 490240696 493811648 502395424 524674876 533795138 537683344 541599872 551014336 629841322 634429136 650158784 674080957 690793708 695825504 713077376 739314598 757644712 763163456 872340062 887503681 893968328 900480064 916132832 956760068 973391134 980481392 987623296 1004790848 1041761479 1049349752 1067590276 1075366688 1102028672 1229206451 1259682644 1268858272 1300317568 1348161914 1381587416 1391651008 1478629196 1515289424 1526326912 1744680124 1775007362 1787936656 1800960128 1832265664 1899682697 1913520136 1946782268 1960962784 2009581696 2083522958 2098699504 2135180552 2150733376 2458412902 2519365288 2537716544 2696323828 2763174832 2783302016 2935873259 2957258392 3030578848 3464127271 3489360248 3550014724 3575873312 3664531328 3799365394 3827040272 3893564536 3921925568 4066230289 4167045916 4197399008 4270361104 4301466752 4916825804 5038730576 5075433088 5353651237 5392647656 5526349664 5871746518 5914516784 6061157696 6928254542 6978720496 7100029448 7151746624 7414890527 7598730788 7654080544 7787129072 7843851136 8132460578 8273824639 8334091832 8394798016 8540722208 9762540491 9833651608 10077461152 10707302474 10785295312 11052699328 11459376269 11743493036 11829033568 12122315392 13521270961 13856509084 13957440992 14200058896 14303493248 14829781054 15087562577 15197461576 15308161088 15574258144 16264921156 16547649278 16668183664 16789596032 17081444416 19525080982 19667303216 20154922304 20896509667 21414604948 21570590624 22105398656 22918752538 23486986072 23658067136 27042541922 27713018168 27914881984 28400117792 29659562108 30175125154 30394923152 30616322176 31148516288 32294605849 32529842312 33095298556 33336367328 34162888832 38105399981 39050161964 39334606432 40309844608 41793019334 42829209896 43141181248 45837505076 46973972144 47316134272 54085083844 55426036336 55829763968 56800235584 58890163607 59319124216 60350250308 60789846304 62297032576 64589211698 65059684624 66190597112 66672734656 76210799962 78100323928 78669212864 83586038668 85658419792 86282362496 91012071029 91675010152 93947944288 107387945401 108170167688 110852072672 113600471168 117780327214 118638248432 120700500616 121579692608 126053138959 129178423396 130119369248 132381194224 133345469312 152421599924 156200647856 157338425728 165963188347 167172077336 171316839584 182024142058 183350020304 187895888576 214775890802 216340335376 221704145344 229861606337 235560654428 237276496864 241401001232 243159385216 252106277918 256488563809 258356846792 260238738496 264762388448 304843199848 312401295712 331926376694 334344154672 342633679168 355240664339 364048284116 366700040608 375791777152 419159399791 429551781604 432680670752 443408290688 459723212674 471121308856 474552993728 482802002464 504212555836 512977127618 516713693584 520477476992 529524776896 609686399696 624802591424 647791799677 663852753388 668688309344 685267358336 710481328678 728096568232 733400081216 838318799582 859103563208 865361341504 919446425348 942242617712 949105987456 965604004928 1001132781319 1008425111672 1025954255236 1033427387168 1059049553792 1181267399411 1219372799392 1249605182848 1295583599354 1327705506776 1337376618688 1420962657356 1456193136464 1466800162432 1676637599164 1718207126416 1730722683008 1825595071817 1838892850696 1884485235424 1931208009856 2002265562638 2016850223344 2051908510472 2066854774336 2362534798822 2438745598784 2591167198708 2655411013552 2674753237376 2821374201899 2841925314712 2912386272928 3353275198328 3436414252832 3651190143634 3677785701392 3768970470848 3907647307729 4004531125276 4033700446688 4103817020944 4133709548672 4725069597644 4877491197568 5182334397416 5310822027104 5642748403798 5683850629424 5824772545856 6706550396656 6872828505664 7125709796447 7302380287268 7355571402784 7537940941696 7815294615458 8009062250552 8067400893376 8207634041888 9450139195288 10364668794832 10621644054208 11012460594509 11285496807596 11367701258848 11649545091712 12993941393521 13413100793312 13745657011328 14251419592894 14604760574536 14711142805568 15630589230916 16018124501104 16134801786752 16415268083776 18900278390576 20081545789987 20729337589664 21243288108416 22024921189018 22570993615192 22735402517696 25987882787042 26826201586624 28502839185788 29209521149072 29422285611136 31035116220889 31261178461832 32036249002208 32830536167552 37800556781152 40163091579974 41458675179328 44049842378036 45141987230384 45470805035392 51975765574084 53652403173248 57005678371576 58419042298144 62070232441778 62522356923664 64072498004416 75601113562304 80326183159948 82917350358656 88099684756072 90283974460768 103951531148168 114011356743152 116838084596288 121137066539599 124140464883556 125044713847328 128144996008832 151202227124608 160652366319896 176199369512144 180567948921536 207903062296336 220897003689857 228022713486304 233676169192576 242274133079198 248280929767112 250089427694656 321304732639792 341386278429779 352398739024288 361135897843072 415806124592672 441794007379714 456045426972608 484548266158396 496561859534224 500178855389312 642609465279584 682772556859558 704797478048576 831612249185344 883588014759428 912090853945216 969096532316792 993123719068448 1285218930559168 1365545113719116 1409594956097152 1663224498370688 1767176029518856 1938193064633584 1986247438136896 2570437861118336 2731090227438232 3534352059037712 3755249062727569 3876386129267168 3972494876273792 5462180454876464 7068704118075424 7510498125455138 7752772258534336 10924360909752928 14137408236150848 15020996250910276 15505544517068672 21848721819505856 28274816472301696 30041992501820552 43697443639011712 60083985003641104 120167970007282208 240335940014564416 480671880029128832
- Sum of all divisors σ(n): 1156245051805324725
- Sum of proper divisors (its aliquot sum) s(n): 675573171776195893
- 480671880029128832 is an abundant number, because the sum of its proper divisors (675573171776195893) is greater than itself. Its abundance is 194901291747067061
Bases of 480671880029128832
- Binary: 110101010111011000010000111001101101010011111001000100000002
- Hexadecimal: 0x6ABB08736A7C880
- Base-36: 3NGVYL9H6C8W
Squares and roots of 480671880029128832
- 480671880029128832 squared (4806718800291288322) is 231045456250737220880136808853684224
- 480671880029128832 cubed (4806718800291288323) is 111057053828229695625921688952065438118536200341946368
-
The
square root of 480671880029128832 is 693305041.1104255283 -
The
cube root of 480671880029128832 is 783338.6803273963 - Being both a perfect square and a perfect cube, 480671880029128832 is also a
perfect sixth number .
Scales and comparisons
How big is 480671880029128832?- 480,671,880,029,128,832 seconds is equal to 15,283,878,969 years, 9 weeks, 2 days, 14 hours, 32 seconds.
-
To count from 1 to 480,671,880,029,128,832 would take you about forty-five billion, eight hundred fifty-one million, six hundred thirty-six thousand, nine hundred seven 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 480671880029128832 cubic inches would be around 65278.2 feet tall.
Recreational maths with 480671880029128832
- 480671880029128832 backwards is 238821920088176084
- The number of decimal digits it has is: 18
- The sum of 480671880029128832's digits is 77
- More coming soon!
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"Number 480671880029128832 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 480671880029128832 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/480671880029128832/
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The information we have on file for 480671880029128832 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!
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