842538829010112
842,538,829,010,112 is an even composite number composed of seven prime numbers multiplied together.
What does the number 842538829010112 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2268 divisors.
842538829010112 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 842538829010112:
26 × 32 × 132 × 31 × 37 × 412 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 13 × 31 × 37 × 41 × 41 × 67 × 67)See below for interesting mathematical facts about the number 842538829010112 from the Numbermatics database.
Names of 842538829010112
- Cardinal: 842538829010112 can be written as Eight hundred forty-two trillion, five hundred thirty-eight billion, eight hundred twenty-nine million, ten thousand, one hundred twelve.
Scientific notation
- Scientific notation: 8.42538829010112 × 1014
Factors of 842538829010112
Divisors of 842538829010112
- Number of divisors d(n): 2268
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 37 39 41 48 52 62 64 67 72 74 78 82 93 96 104 111 117 123 124 134 144 148 156 164 169 186 192 201 208 222 234 246 248 268 279 288 296 312 328 333 338 369 372 402 403 416 444 468 481 492 496 507 533 536 558 576 592 603 624 656 666 676 738 744 804 806 832 871 888 936 962 984 992 1014 1066 1072 1116 1147 1184 1206 1209 1248 1271 1312 1332 1352 1443 1476 1488 1517 1521 1599 1608 1612 1681 1742 1776 1872 1924 1968 1984 2028 2077 2132 2144 2232 2294 2368 2412 2418 2479 2496 2542 2613 2624 2664 2704 2747 2886 2952 2976 3034 3042 3198 3216 3224 3362 3441 3484 3552 3627 3744 3813 3848 3936 4056 4154 4264 4288 4329 4464 4489 4551 4588 4797 4824 4836 4958 5043 5084 5226 5239 5328 5408 5494 5772 5904 5952 6068 6084 6231 6253 6396 6432 6448 6724 6882 6929 6968 7104 7254 7437 7488 7626 7696 7839 7872 8112 8241 8308 8528 8658 8928 8978 9102 9176 9594 9648 9672 9916 10086 10168 10323 10452 10478 10656 10816 10988 11323 11439 11544 11808 12136 12168 12462 12506 12792 12864 12896 13448 13467 13653 13764 13858 13936 14508 14874 14911 15129 15252 15392 15678 15717 16224 16482 16523 16616 17056 17316 17856 17956 18204 18352 18693 18759 19188 19296 19344 19721 19832 20172 20336 20646 20787 20904 20956 21312 21853 21976 22311 22646 22878 23088 23616 24272 24336 24723 24924 25012 25584 25792 26896 26934 27001 27306 27528 27716 27872 29016 29748 29822 30258 30504 30784 31356 31434 32227 32448 32964 33046 33232 33969 34112 34632 35711 35912 36408 36704 37386 37518 38376 38592 38688 39442 39664 40344 40401 40672 41292 41574 41808 41912 43706 43952 44622 44733 45292 45756 46176 47027 47151 48544 48672 49446 49569 49848 50024 51168 52111 53792 53868 54002 54612 55056 55432 55744 56277 58032 58357 59163 59496 59644 60516 61008 62197 62361 62712 62868 64454 65559 65928 66092 66464 67938 69264 71422 71824 72816 73408 74772 75036 76752 76849 77376 78884 79328 80688 80802 81003 81344 82584 83148 83616 83824 85157 87412 87904 89244 89466 90584 91512 92352 94054 94302 96681 97088 97344 98892 99138 99696 100048 101639 101907 102336 104222 107133 107584 107736 108004 109224 110112 110864 112554 112627 116064 116714 118326 118992 119288 121032 122016 124394 124722 125424 125736 128908 131118 131856 132184 132928 134199 135876 138528 139159 141081 142844 143648 145632 148707 149544 150072 153504 153698 156333 157768 158656 161376 161604 162006 165168 166093 166296 167232 167648 170314 174824 175071 175808 177489 178488 178932 181168 183024 184049 186591 188108 188604 193362 193843 196677 197784 198276 199392 200096 203278 203814 208444 214266 214799 215472 216008 218448 220224 221728 225108 225254 230547 232128 233428 236652 237984 238576 242064 243009 244032 248788 249444 250848 251472 255471 256373 257816 262236 263712 264368 268398 271752 277056 278318 282162 284089 285688 287296 290043 291264 297414 299088 300144 304917 307008 307396 312666 315536 321399 322752 323208 324012 330336 332186 332592 335296 337881 340628 349648 350142 351013 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2807115348 2817026524 2832882208 2892698133 2904875584 2932650747 2949157224 2965756608 2986010976 3027252384 3041041627 3100396056 3139139744 3186992484 3194920326 3212902992 3267985032 3286378944 3297982272 3350427996 3358762394 3377667248 3386573424 3452575191 3467109568 3480644908 3531532212 3540317118 3560243856 3609416304 3629630329 3654520896 3740394528 3742820464 3799875654 3825826563 3856930844 3900498264 3910200996 3922452288 3932209632 4042039248 4133861408 4144761504 4210673022 4225539786 4249323312 4259893768 4283870656 4346501184 4357313376 4467237328 4479016464 4515431232 4577796288 4603433588 4650594084 4708709616 4720422824 4746991808 4792380489 4812555072 4819354488 4946973408 5025641994 5038143591 5066500872 5072693184 5101102084 5200664352 5213601328 5220967362 5310475677 5340365784 5389385664 5481781344 5488709278 5614230696 5634053048 5665764416 5785396266 5865301494 5898314448 5972021952 6054504768 6082083254 6200792112 6278279488 6338309679 6373984968 6389840652 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15662902086 16168156992 16466127834 16842692088 16902159144 16997293248 17039575072 17310544646 17356188798 17868949312 17916065856 18246249762 18413734352 18602376336 18834838464 18881691296 19169521956 19277417952 20102567976 20152574364 20266003488 20404408336 20715451146 20854405312 20883869448 21241902708 21361463136 21777781974 21831955561 21954837112 22456922784 22536212192 22954959378 23141585064 23461205976 23593257792 24328333016 24699191751 24803168448 25353238716 25495939872 25559362608 25965816969 26143880256 26803423968 26870099152 27369374643 27620601528 27845159264 28252257696 28322536944 29037042632 30228861546 30399005232 30606612504 30855446752 31203986112 31281607968 31325804172 32666672961 32932255668 33685384176 33804318288 34079150144 34621089292 34712377596 35676610307 36492499524 36827468704 37204752672 37763382592 38339043912 38554835904 39533541151 40205135952 40305148728 40532006976 40808816672 41430902292 41767738896 42483805416 42722926272 43555563948 43663911122 43909674224 44913845568 45072424384 45909918756 46283170128 46922411952 47185194277 48656666032 49398383502 50706477432 50991879744 51118725216 51931633938 53606847936 53740198304 54738749286 55241203056 55690318528 56504515392 56645073888 58074085264 60457723092 60798010464 61213225008 61710893504 62563215936 62651608344 65333345922 65495866683 65864511336 67370768352 67608636576 69242178584 69424755192 71353220614 72984999048 73654937408 74409505344 76678087824 77897450907 79067082302 80410271904 80610297456 81617633344 82861804584 83535477792 84967610832 87111127896 87327822244 87819348448 91819837512 92566340256 93844823904 94370388554 97313332064 98796767004 101412954864 102237450432 103863267876 107029830921 107480396608 109477498572 110482406112 112518540199 113290147776 116148170528 118600623453 120915446184 121596020928 122426450016 125303216688 130666691844 130991733366 131729022672 134741536704 135217273152 138484357168 138849510384 141555582831 142706441228 145969998096 153356175648 155794901814 158134164604 160820543808 161220594912 165723609168 167070955584 169935221664 174222255792 174655644488 175638696896 183639675024 185132680512 187689647808 188740777108 194626664128 196487600049 197593534008 202825909728 207726535752 214059661842 218954997144 220964812224 225037080398 232296341056 237201246906 241830892368 244852900032 250606433376 261333383688 261983466732 263458045344 276968714336 277699020768 283111165662 285412882456 291939996192 306712351296 311589803628 316268329208 321089492763 322441189824 331447218336 337555620597 339870443328 348444511584 349311288976 355801870359 367279350048 377481554216 392975200098 395187068016 405651819456 415453071504 424666748493 428119323684 437909994288 450074160796 474402493812 483661784736 501212866752 522666767376 523966933464 526916090688 553937428672 555398041536 566222331324 570825764912 583879992384 623179607256 632536658416 642178985526 662894436672 675111241194 696889023168 698622577952 711603740718 734558700096 754963108432 785950400196 790374136032 830906143008 849333496986 856238647368 875819988576 900148321592 948804987624 967323569472 1012666861791 1045333534752 1047933866928 1132444662648 1141651529824 1246359214512 1265073316832 1284357971052 1350222482388 1397245155904 1423207481436 1462741022587 1509926216864 1571900800392 1580748272064 1661812286016 1698666993972 1712477294736 1751639977152 1800296643184 1897609975248 2025333723582 2090667069504 2095867733856 2264889325296 2283303059648 2492718429024 2530146633664 2568715942104 2700444964776 2846414962872 2925482045174 3019852433728 3143801600784 3397333987944 3424954589472 3600593286368 3795219950496 4050667447164 4191735467712 4388223067761 4529778650592 4985436858048 5137431884208 5400889929552 5692829925744 5850964090348 6287603201568 6794667975888 6849909178944 7201186572736 7590439900992 8101334894328 8776446135522 9059557301184 10274863768416 10801779859104 11385659851488 11701928180696 12575206403136 13164669203283 13589335951776 16202669788656 17552892271044 20549727536832 21603559718208 22771319702976 23403856361392 26329338406566 27178671903552 32405339577312 35105784542088 46807712722784 52658676813132 64810679154624 70211569084176 93615425445568 105317353626264 140423138168352 210634707252528 280846276336704 421269414505056 842538829010112
- Sum of all divisors σ(n): 2884669375468608
- Sum of proper divisors (its aliquot sum) s(n): 2042130546458496
- 842538829010112 is an abundant number, because the sum of its proper divisors (2042130546458496) is greater than itself. Its abundance is 1199591717448384
Bases of 842538829010112
- Binary: 101111111001001000110110111001110011010100110000002
- Hexadecimal: 0x2FE48DB9CD4C0
- Base-36: 8ANKZT31S0
Squares and roots of 842538829010112
- 842538829010112 squared (8425388290101122) is 709871678389730746277798252544
- 842538829010112 cubed (8425388290101123) is 598094452657926571006069205703029126905724928
-
The
square root of 842538829010112 is 29026519.4091560347 -
The
cube root of 842538829010112 is 94448.8428733747
Scales and comparisons
How big is 842538829010112?- 842,538,829,010,112 seconds is equal to 26,790,128 years, 32 weeks, 1 day, 5 hours, 55 minutes, 12 seconds.
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To count from 1 to 842,538,829,010,112 would take you about sixty-six million, nine hundred seventy-five thousand, three hundred twenty-one 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 842538829010112 cubic inches would be around 7870.7 feet tall.
Recreational maths with 842538829010112
- 842538829010112 backwards is 211010928835248
- The number of decimal digits it has is: 15
- The sum of 842538829010112's digits is 54
- More coming soon!
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The information we have on file for 842538829010112 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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