56956409431563584116800
56,956,409,431,563,584,116,800 is an even composite number composed of six prime numbers multiplied together.
56956409431563584116800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 56956409431563584116800:
26 × 33 × 52 × 223 × 555439 × 10644312667
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 223 × 555439 × 10644312667)See below for interesting mathematical facts about the number 56956409431563584116800 from the Numbermatics database.
Names of 56956409431563584116800
- Cardinal: 56956409431563584116800 can be written as Fifty-six sextillion, nine hundred fifty-six quintillion, four hundred nine quadrillion, four hundred thirty-one trillion, five hundred sixty-three billion, five hundred eighty-four million, one hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 5.69564094315635841168 × 1022
Factors of 56956409431563584116800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 10644868339
Divisors of 56956409431563584116800
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 135 144 150 160 180 192 200 216 223 225 240 270 288 300 320 360 400 432 446 450 480 540 576 600 669 675 720 800 864 892 900 960 1080 1115 1200 1338 1350 1440 1600 1728 1784 1800 2007 2160 2230 2400 2676 2700 2880 3345 3568 3600 4014 4320 4460 4800 5352 5400 5575 6021 6690 7136 7200 8028 8640 8920 10035 10704 10800 11150 12042 13380 14272 14400 16056 16725 17840 20070 21408 21600 22300 24084 26760 30105 32112 33450 35680 40140 42816 43200 44600 48168 50175 53520 60210 64224 66900 71360 80280 89200 96336 100350 107040 120420 128448 133800 150525 160560 178400 192672 200700 214080 240840 267600 301050 321120 356800 385344 401400 481680 535200 555439 602100 642240 802800 963360 1070400 1110878 1204200 1605600 1666317 1926720 2221756 2408400 2777195 3211200 3332634 4443512 4816800 4998951 5554390 6665268 8331585 8887024 9633600 9997902 11108780 13330536 13885975 14996853 16663170 17774048 19995804 22217560 24994755 26661072 27771950 29993706 33326340 35548096 39991608 41657925 44435120 49989510 53322144 55543900 59987412 66652680 74984265 79983216 83315850 88870240 99979020 106644288 111087800 119974824 123862897 124973775 133305360 149968530 159966432 166631700 177740480 199958040 222175600 239949648 247725794 249947550 266610720 299937060 319932864 333263400 371588691 374921325 399916080 444351200 479899296 495451588 499895100 533221440 599874120 619314485 666526800 743177382 749842650 799832160 888702400 959798592 990903176 999790200 1114766073 1199748240 1238628970 1333053600 1486354764 1499685300 1599664320 1857943455 1981806352 1999580400 2229532146 2399496480 2477257940 2666107200 2972709528 2999370600 3096572425 3344298219 3715886910 3963612704 3999160800 4459064292 4798992960 4954515880 5573830365 5945419056 5998741200 6193144850 6688596438 7431773820 7927225408 7998321600 8918128584 9289717275 9909031760 10644312667 11147660730 11890838112 11997482400 12386289700 13377192876 14863547640 16721491095 17836257168 18579434550 19818063520 21288625334 22295321460 23781676224 23994964800 24772579400 26754385752 27869151825 29727095280 31932938001 33442982190 35672514336 37158869100 39636127040 42577250668 44590642920 49545158800 53221563335 53508771504 55738303650 59454190560 63865876002 66885964380 71345028672 74317738200 83607455475 85154501336 89181285840 95798814003 99090317600 106443126670 107017543008 111476607300 118908381120 127731752004 133771928760 148635476400 159664690005 167214910950 170309002672 178362571680 191597628006 198180635200 212886253340 214035086016 222953214600 255463504008 266107816675 267543857520 287396442009 297270952800 319329380010 334429821900 340618005344 356725143360 383195256012 425772506680 445906429200 478994070015 510927008016 532215633350 535087715040 574792884018 594541905600 638658760020 668859643800 681236010688 766390512024 798323450025 851545013360 891812858400 957988140030 1021854016032 1064431266700 1070175430080 1149585768036 1277317520040 1337719287600 1436982210045 1532781024048 1596646900050 1703090026720 1783625716800 1915976280060 2043708032064 2128862533400 2299171536072 2373681724741 2394970350075 2554635040080 2675438575200 2873964420090 3065562048096 3193293800100 3406180053440 3831952560120 4257725066800 4598343072144 4747363449482 4789940700150 5109270080160 5350877150400 5747928840180 6131124096192 6386587600200 7121045174223 7184911050225 7663905120240 8515450133600 9196686144288 9494726898964 9579881400300 10218540160320 11495857680360 11868408623705 12773175200400 14242090348446 14369822100450 15327810240480 17030900267200 18393372288576 18989453797928 19159762800600 21363135522669 22991715360720 23736817247410 25546350400800 28484180696892 28739644200900 30655620480960 35605225871115 37978907595856 38319525601200 42726271045338 45983430721440 47473634494820 51092700801600 56968361393784 57479288401800 59342043118525 64089406568007 71210451742230 75957815191712 76639051202400 85452542090676 91966861442880 94947268989640 106815677613345 113936722787568 114958576803600 118684086237050 128178813136014 142420903484460 151915630383424 153278102404800 170905084181352 178026129355575 189894537979280 213631355226690 227873445575136 229917153607200 237368172474100 256357626272028 284841806968920 320447032840035 341810168362704 356052258711150 379789075958560 427262710453380 455746891150272 459834307214400 474736344948200 512715252544056 534078388066725 569683613937840 640894065680070 683620336725408 712104517422300 759578151917120 854525420906760 949472689896400 1025430505088112 1068156776133450 1139367227875680 1281788131360140 1367240673450816 1424209034844600 1602235164200175 1709050841813520 1898945379792800 2050861010176224 2136313552266900 2278734455751360 2563576262720280 2848418069689200 3204470328400350 3418101683627040 3797890759585600 4101722020352448 4272627104533800 5127152525440560 5696836139378400 5912266383445813 6408940656800700 6836203367254080 8545254209067600 10254305050881120 11393672278756800 11824532766891626 12817881313601400 17090508418135200 17736799150337439 20508610101762240 23649065533783252 25635762627202800 29561331917229065 34181016836270400 35473598300674878 47298131067566504 51271525254405600 53210397451012317 59122663834458130 70947196601349756 88683995751687195 94596262135133008 102543050508811200 106420794902024634 118245327668916260 141894393202699512 147806659586145325 159631192353036951 177367991503374390 189192524270266016 212841589804049268 236490655337832520 266051987255061585 283788786405399024 295613319172290650 319262384706073902 354735983006748780 378385048540532032 425683179608098536 443419978758435975 472981310675665040 532103974510123170 567577572810798048 591226638344581300 638524769412147804 709471966013497560 798155961765184755 851366359216197072 886839957516871950 945962621351330080 1064207949020246340 1135155145621596096 1182453276689162600 1277049538824295608 1318435403508416299 1330259936275307925 1418943932026995120 1596311923530369510 1702732718432394144 1773679915033743900 1891925242702660160 2128415898040492680 2364906553378325200 2554099077648591216 2636870807016832598 2660519872550615850 2837887864053990240 3192623847060739020 3405465436864788288 3547359830067487800 3955306210525248897 3990779808825923775 4256831796080985360 4729813106756650400 5108198155297182432 5273741614033665196 5321039745101231700 5675775728107980480 6385247694121478040 6592177017542081495 7094719660134975600 7910612421050497794 7981559617651847550 8513663592161970720 9459626213513300800 10216396310594364864 10547483228067330392 10642079490202463400 11865918631575746691 12770495388242956080 13184354035084162990 14189439320269951200 15821224842100995588 15963119235303695100 17027327184323941440 19776531052626244485 21094966456134660784 21284158980404926800 23731837263151493382 25540990776485912160 26368708070168325980 28378878640539902400 31642449684201991176 31926238470607390200 32960885087710407475 35597755894727240073 39553062105252488970 42189932912269321568 42568317960809853600 47463674526302986764 51081981552971824320 52737416140336651960 59329593157878733455 63284899368403982352 63852476941214780400 65921770175420814950 71195511789454480146 79106124210504977940 84379865824538643136 85136635921619707200 94927349052605973528 98882655263131222425 105474832280673303920 118659186315757466910 126569798736807964704 127704953882429560800 131843540350841629900 142391023578908960292 158212248421009955880 177988779473636200365 189854698105211947056 197765310526262444850 210949664561346607840 237318372631514933820 253139597473615929408 255409907764859121600 263687080701683259800 284782047157817920584 296647965789393667275 316424496842019911760 355977558947272400730 379709396210423894112 395530621052524889700 421899329122693215680 474636745263029867640 527374161403366519600 569564094315635841168 593295931578787334550 632848993684039823520 711955117894544801460 759418792420847788224 791061242105049779400 889943897368181001825 949273490526059735280 1054748322806733039200 1139128188631271682336 1186591863157574669100 1265697987368079647040 1423910235789089602920 1582122484210099558800 1779887794736362003650 1898546981052119470560 2109496645613466078400 2278256377262543364672 2373183726315149338200 2847820471578179205840 3164244968420199117600 3559775589472724007300 3797093962104238941120 4746367452630298676400 5695640943156358411680 6328489936840398235200 7119551178945448014600 9492734905260597352800 11391281886312716823360 14239102357890896029200 18985469810521194705600 28478204715781792058400 56956409431563584116800
- Sum of all divisors σ(n): 208558646557828251238400
- Sum of proper divisors (its aliquot sum) s(n): 151602237126264667121600
- 56956409431563584116800 is an abundant number, because the sum of its proper divisors (151602237126264667121600) is greater than itself. Its abundance is 94645827694701083004800
Bases of 56956409431563584116800
- Binary: 11000000111110011100111101101110001000000100010001111011001110011000010000002
- Hexadecimal: 0xC0F9CF6E20447B39840
- Base-36: 99W83HR1TG0WPC0
Squares and roots of 56956409431563584116800
- 56956409431563584116800 squared (569564094315635841168002) is 3244032575335905199171856278138309236042240000
- 56956409431563584116800 cubed (569564094315635841168003) is 184768447570161454112874963904937154006041757609405588557893632000000
-
The
square root of 56956409431563584116800 is 238655419866.3076331953 -
The
cube root of 56956409431563584116800 is 38475198.3809352811
Scales and comparisons
How big is 56956409431563584116800?- 56,956,409,431,563,584,116,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 56,956,409,431,563,584,116,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 56956409431563584116800 cubic inches would be around 3206266.5 feet tall.
Recreational maths with 56956409431563584116800
- 56956409431563584116800 backwards is 00861148536513490465965
- The number of decimal digits it has is: 23
- The sum of 56956409431563584116800's digits is 99
- More coming soon!
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The information we have on file for 56956409431563584116800 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 56956409431563584116800, math, Factors of 56956409431563584116800, curriculum, school, college, exams, university, Prime factorization of 56956409431563584116800, STEM, science, technology, engineering, physics, economics, calculator, fifty-six sextillion, nine hundred fifty-six quintillion, four hundred nine quadrillion, four hundred thirty-one trillion, five hundred sixty-three billion, five hundred eighty-four million, one hundred sixteen thousand, eight hundred.