4048122474264985600
4,048,122,474,264,985,600 is an even composite number composed of four prime numbers multiplied together.
What does the number 4048122474264985600 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 816 divisors.
4048122474264985600 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eight hundred sixteen divisors.
Prime factorization of 4048122474264985600:
216 × 52 × 113 × 12293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 1229 × 1229 × 1229)See below for interesting mathematical facts about the number 4048122474264985600 from the Numbermatics database.
Names of 4048122474264985600
- Cardinal: 4048122474264985600 can be written as Four quintillion, forty-eight quadrillion, one hundred twenty-two trillion, four hundred seventy-four billion, two hundred sixty-four million, nine hundred eighty-five thousand, six hundred.
Scientific notation
- Scientific notation: 4.0481224742649856 × 1018
Factors of 4048122474264985600
Divisors of 4048122474264985600
- Number of divisors d(n): 816
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 121 128 160 176 200 220 242 256 275 320 352 400 440 484 512 550 605 640 704 800 880 968 1024 1100 1210 1229 1280 1331 1408 1600 1760 1936 2048 2200 2420 2458 2560 2662 2816 3025 3200 3520 3872 4096 4400 4840 4916 5120 5324 5632 6050 6145 6400 6655 7040 7744 8192 8800 9680 9832 10240 10648 11264 12100 12290 12800 13310 13519 14080 15488 16384 17600 19360 19664 20480 21296 22528 24200 24580 25600 26620 27038 28160 30725 30976 32768 33275 35200 38720 39328 40960 42592 45056 48400 49160 51200 53240 54076 56320 61450 61952 65536 66550 67595 70400 77440 78656 81920 85184 90112 96800 98320 102400 106480 108152 112640 122900 123904 133100 135190 140800 148709 154880 157312 163840 170368 180224 193600 196640 204800 212960 216304 225280 245800 247808 266200 270380 281600 297418 309760 314624 327680 337975 340736 360448 387200 393280 409600 425920 432608 450560 491600 495616 532400 540760 563200 594836 619520 629248 675950 681472 720896 743545 774400 786560 819200 851840 865216 901120 983200 991232 1064800 1081520 1126400 1189672 1239040 1258496 1351900 1362944 1487090 1510441 1548800 1573120 1635799 1638400 1703680 1730432 1802240 1966400 1982464 2129600 2163040 2252800 2379344 2478080 2516992 2703800 2725888 2974180 3020882 3097600 3146240 3271598 3407360 3460864 3604480 3717725 3932800 3964928 4259200 4326080 4505600 4758688 4956160 5033984 5407600 5451776 5948360 6041764 6195200 6292480 6543196 6814720 6921728 7435450 7552205 7865600 7929856 8178995 8518400 8652160 9011200 9517376 9912320 10067968 10815200 10903552 11896720 12083528 12390400 12584960 13086392 13629440 13843456 14870900 15104410 15731200 16357990 16614851 17036800 17304320 18022400 19034752 19824640 20135936 21630400 21807104 23793440 24167056 24780800 25169920 26172784 27258880 27686912 29741800 30208820 31462400 32715980 33229702 34073600 34608640 37761025 38069504 39649280 40271872 40894975 43260800 43614208 47586880 48334112 49561600 50339840 52345568 54517760 55373824 59483600 60417640 62924800 65431960 66459404 68147200 69217280 75522050 76139008 80543744 81789950 83074255 86521600 87228416 95173760 96668224 99123200 100679680 104691136 109035520 110747648 118967200 120835280 125849600 130863920 132918808 136294400 138434560 151044100 152278016 163579900 166148510 173043200 182763361 190347520 193336448 198246400 201359360 209382272 218071040 221495296 237934400 241670560 251699200 261727840 265837616 272588800 276869120 302088200 304556032 327159800 332297020 346086400 365526722 380695040 386672896 402718720 415371275 418764544 436142080 442990592 475868800 483341120 503398400 523455680 531675232 545177600 553738240 604176400 609112064 654319600 664594040 692172800 731053444 761390080 773345792 830742550 837529088 885981184 913816805 951737600 966682240 1006796800 1046911360 1063350464 1090355200 1107476480 1208352800 1218224128 1308639200 1329188080 1384345600 1462106888 1522780160 1546691584 1661485100 1675058176 1827633610 1856331989 1903475200 1933364480 2010396971 2013593600 2093822720 2126700928 2180710400 2214952960 2416705600 2436448256 2617278400 2658376160 2768691200 2924213776 3045560320 3093383168 3322970200 3350116352 3655267220 3712663978 3806950400 3866728960 4020793942 4187645440 4253401856 4429905920 4569084025 4833411200 4872896512 5234556800 5316752320 5537382400 5848427552 6091120640 6186766336 6645940400 6700232704 7310534440 7425327956 7613900800 7733457920 8041587884 8375290880 8506803712 9138168050 9281659945 9666822400 9745793024 10051984855 10469113600 10633504640 11074764800 11696855104 12182241280 12373532672 13291880800 13400465408 14621068880 14850655912 15227801600 15466915840 16083175768 16750581760 17013607424 18276336100 18563319890 19333644800 20103969710 20419651879 20938227200 21267009280 22149529600 23393710208 24364482560 24747065344 26583761600 26800930816 29242137760 29701311824 30455603200 30933831680 32166351536 33501163520 34027214848 36552672200 37126639780 38667289600 40207939420 40839303758 41876454400 42534018560 46408299725 46787420416 48728965120 49494130688 50259924275 53167523200 53601861632 58484275520 59402623648 60911206400 61867663360 64332703072 67002327040 68054429696 73105344400 74253279560 77334579200 80415878840 81678607516 83752908800 85068037120 92816599450 93574840832 98988261376 100519848550 102098259395 106335046400 107203723264 116968551040 118805247296 121822412800 123735326720 128665406144 134004654080 136108859392 146210688800 148506559120 154669158400 160831757680 163357215032 167505817600 170136074240 185633198900 187149681664 201039697100 204196518790 212670092800 224616170669 233937102080 237610494592 243644825600 247470653440 257330812288 268009308160 272217718784 292421377600 297013118240 309338316800 321663515360 326714430064 335011635200 340272148480 371266397800 374299363328 402079394200 408393037580 425340185600 449232341338 467874204160 475220989184 494941306880 510491296975 514661624576 536018616320 544435437568 584842755200 594026236480 618676633600 643327030720 653428860128 670023270400 680544296960 742532795600 748598726656 804158788400 816786075160 850680371200 898464682676 935748408320 950441978368 1020982593950 1029323249152 1088870875136 1123080853345 1169685510400 1188052472960 1237353267200 1286654061440 1306857720256 1340046540800 1361088593920 1485065591200 1497197453312 1608317576800 1633572150320 1701360742400 1796929365352 1871496816640 1900883956736 2041965187900 2058646498304 2246161706690 2339371020800 2376104945920 2470777877359 2474706534400 2573308122880 2613715440512 2680093081600 2722177187840 2970131182400 2994394906624 3216635153600 3267144300640 3402721484800 3593858730704 3742993633280 3801767913472 4083930375800 4117292996608 4492323413380 4678742041600 4752209891840 4941555754718 5146616245760 5227430881024 5444354375680 5615404266725 5940262364800 5988789813248 6433270307200 6534288601280 6805442969600 7187717461408 7485987266560 7603535826944 8167860751600 8234585993216 8984646826760 9357484083200 9504419783680 9883111509436 10293232491520 10454861762048 11230808533450 11880524729600 11977579626496 12353889386795 12866540614400 13068577202560 13610885939200 14375434922816 14971974533120 15207071653888 16335721503200 16469171986432 17969293653520 18714968166400 19008839567360 19766223018872 20586464983040 20909723524096 22461617066900 23761049459200 24707778773590 25733081228800 26137154405120 27221771878400 28750869845632 29943949066240 30414143307776 32671443006400 32938343972864 35938587307040 37429936332800 38017679134720 39532446037744 41172929966080 41819447048192 44923234133800 47522098918400 49415557547180 51466162457600 52274308810240 57501739691264 59887898132480 60828286615552 61769446933975 65342886012800 65876687945728 71877174614080 74859872665600 76035358269440 79064892075488 82345859932160 83638894096384 89846468267600 95044197836800 98831115094360 102932324915200 104548617620480 115003479382528 121656573231104 123538893867950 130685772025600 131753375891456 143754349228160 149719745331200 152070716538880 158129784150976 164691719864320 167277788192768 179692936535200 190088395673600 197662230188720 205864649830400 209097235240960 230006958765056 247077787735900 261371544051200 287508698456320 299439490662400 304141433077760 316259568301952 329383439728640 334555576385536 359385873070400 380176791347200 395324460377440 411729299660800 418194470481920 460013917530112 494155575471800 522743088102400 575017396912640 608282866155520 632519136603904 658766879457280 669111152771072 718771746140800 760353582694400 790648920754880 823458599321600 836388940963840 920027835060224 988311150943600 1045486176204800 1150034793825280 1265038273207808 1338222305542144 1437543492281600 1520707165388800 1581297841509760 1646917198643200 1672777881927680 1840055670120448 1976622301887200 2090972352409600 2300069587650560 2530076546415616 2875086984563200 3041414330777600 3162595683019520 3293834397286400 3345555763855360 3680111340240896 3953244603774400 4181944704819200 4600139175301120 5060153092831232 5750173969126400 6325191366039040 6691111527710720 7360222680481792 7906489207548800 8363889409638400 9200278350602240 10120306185662464 11500347938252800 12650382732078080 14720445360963584 15812978415097600 16727778819276800 18400556701204480 20240612371324928 23000695876505600 25300765464156160 31625956830195200 33455557638553600 36801113402408960 40481224742649856 46001391753011200 50601530928312320 63251913660390400 73602226804817920 80962449485299712 92002783506022400 101203061856624640 126503827320780800 161924898970599424 184005567012044800 202406123713249280 253007654641561600 368011134024089600 404812247426498560 506015309283123200 809624494852997120 1012030618566246400 2024061237132492800 4048122474264985600
- Sum of all divisors σ(n): 11051431805915886240
- Sum of proper divisors (its aliquot sum) s(n): 7003309331650900640
- 4048122474264985600 is an abundant number, because the sum of its proper divisors (7003309331650900640) is greater than itself. Its abundance is 2955186857385915040
Bases of 4048122474264985600
- Binary: 111000001011011101000111110001010001011101011100000000000000002
- Hexadecimal: 0x382DD1F145D70000
- Base-36: UR7FNJH4EYV4
Squares and roots of 4048122474264985600
- 4048122474264985600 squared (40481224742649856002) is 16387295566649269001362966168207360000
- 4048122474264985600 cubed (40481224742649856003) is 66337779475775868068194856512709444716070768214016000000
-
The
square root of 4048122474264985600 is 2011994650.6551615581 -
The
cube root of 4048122474264985600 is 1593741.4985638203
Scales and comparisons
How big is 4048122474264985600?- 4,048,122,474,264,985,600 seconds is equal to 128,717,773,016 years, 34 weeks, 4 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 4,048,122,474,264,985,600 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 4048122474264985600 cubic inches would be around 132811.8 feet tall.
Recreational maths with 4048122474264985600
- 4048122474264985600 backwards is 0065894624742218404
- The number of decimal digits it has is: 19
- The sum of 4048122474264985600's digits is 76
- More coming soon!
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The information we have on file for 4048122474264985600 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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