42321825869481216
42,321,825,869,481,216 is an even composite number composed of five prime numbers multiplied together.
What does the number 42321825869481216 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
42321825869481216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 42321825869481216:
28 × 33 × 47 × 614 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 47 × 61 × 61 × 61 × 61 × 97 × 97)See below for interesting mathematical facts about the number 42321825869481216 from the Numbermatics database.
Names of 42321825869481216
- Cardinal: 42321825869481216 can be written as Forty-two quadrillion, three hundred twenty-one trillion, eight hundred twenty-five billion, eight hundred sixty-nine million, four hundred eighty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.2321825869481216 × 1016
Factors of 42321825869481216
Divisors of 42321825869481216
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 61 64 72 94 96 97 108 122 128 141 144 183 188 192 194 216 244 256 282 288 291 366 376 384 388 423 432 488 549 564 576 582 732 752 768 776 846 864 873 976 1098 1128 1152 1164 1269 1464 1504 1552 1647 1692 1728 1746 1952 2196 2256 2304 2328 2538 2619 2867 2928 3008 3104 3294 3384 3456 3492 3721 3904 4392 4512 4559 4656 5076 5238 5734 5856 5917 6016 6208 6588 6768 6912 6984 7442 7808 8601 8784 9024 9118 9312 9409 10152 10476 11163 11468 11712 11834 12032 12416 13176 13536 13677 13968 14884 15616 17202 17568 17751 18048 18236 18624 18818 20304 20952 22326 22936 23424 23668 24832 25803 26352 27072 27354 27936 28227 29768 33489 34404 35136 35502 36096 36472 37248 37636 40608 41031 41904 44652 45872 46848 47336 51606 52704 53253 54144 54708 55872 56454 59536 66978 68808 70272 71004 72944 74496 75272 77409 81216 82062 83808 84681 89304 91744 94672 100467 103212 105408 106506 108288 109416 111744 112908 119072 123093 133956 137616 140544 142008 145888 150544 154818 159759 162432 164124 167616 169362 174887 178608 183488 189344 200934 206424 210816 213012 218832 223488 225816 226981 238144 246186 254043 267912 275232 278099 284016 291776 301088 309636 319518 324864 328248 335232 338724 349774 357216 360937 366976 378688 401868 412848 421632 426024 437664 442223 451632 453962 476288 492372 508086 524661 535824 550464 556198 568032 573949 583552 602176 619272 639036 656496 670464 677448 680943 699548 714432 721874 733952 757376 803736 825696 834297 852048 875328 884446 903264 907924 952576 984744 1016172 1049322 1071648 1082811 1100928 1112396 1136064 1147898 1167104 1204352 1238544 1278072 1312992 1326669 1354896 1361886 1399096 1428864 1443748 1514752 1573983 1607472 1651392 1668594 1704096 1721847 1750656 1768892 1806528 1815848 1969488 2032344 2042829 2098644 2143296 2165622 2201856 2224792 2272128 2295796 2408704 2477088 2502891 2556144 2625984 2653338 2709792 2723772 2798192 2857728 2887496 3147966 3214944 3248433 3302784 3337188 3408192 3443694 3501312 3537784 3613056 3631696 3938976 3980007 4064688 4085658 4197288 4286592 4331244 4449584 4544256 4591592 4721949 4954176 5005782 5112288 5165541 5251968 5306676 5419584 5447544 5596384 5774992 6128487 6295932 6429888 6496866 6605568 6674376 6816384 6887388 7075568 7226112 7263392 7508673 7877952 7960014 8129376 8171316 8394576 8573184 8662488 8899168 9183184 9443898 9745299 9908352 10011564 10224576 10331082 10503936 10613352 10668107 10839168 10895088 11192768 11549984 11940021 12256974 12591864 12859776 12993732 13348752 13632768 13774776 13845841 14151136 14526784 15017346 15496623 15755904 15920028 16258752 16342632 16789152 16964039 17324976 17798336 18366368 18887796 19490598 19816704 20023128 20449152 20662164 21226704 21336214 21678336 21790176 22017157 22385536 23099968 23880042 24513948 25183728 25719552 25987464 26697504 26975603 27549552 27691682 28302272 29053568 30034692 30993246 31511808 31840056 32004321 32517504 32685264 33578304 33928078 34649952 35010889 35596672 36732736 37775592 38981196 40046256 40898304 41324328 41537523 42453408 42672428 43580352 44034314 44771072 46199936 47760084 49027896 50367456 50892117 51974928 53395008 53951206 55099104 55383364 56604544 58107136 60069384 61986492 63680112 64008642 65035008 65370528 66051471 67156608 67856156 69299904 70021778 71193344 73465472 75551184 77962392 80092512 80926809 82648656 83075046 84906816 85344856 87160704 88068628 92399872 95520168 96012963 98055792 100734912 101784234 103949856 105032667 106790016 107902412 110198208 110766728 113209088 120138768 123972984 124612569 127360224 128017284 130741056 132102942 134313216 135712312 138599808 140043556 146930944 151102368 152676351 155924784 160185024 161853618 165297312 166150092 169813632 170689712 174321408 176137256 191040336 192025926 196111584 198154413 201469824 203568468 207899712 210065334 213580032 215804824 220396416 221533456 240277536 242780427 247945968 249225138 254720448 256034568 261482112 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66227608256 68341255328 70281488916 72524515158 73737955584 74506059288 76091294592 76883912244 78984565584 80665088256 83296579456 85954980928 88857636282 93227683968 93708651888 95702452992 96699353544 99341412384 100376218763 102511882992 105312754112 111759088932 115325868366 117255437568 118476848376 120997632384 124944869184 126246378238 128932471392 130275517969 132455216512 136682510656 140562977832 145049030316 149012118576 152182589184 153767824488 157969131168 166593158912 171909961856 177715272564 186455367936 187417303776 189369567357 193398707088 198682824768 200752437526 205023765984 210625508224 223518177864 230651736732 236953696752 241995264768 249889738368 252492756476 257864942784 260551035938 264910433024 273365021312 281125955664 290098060632 298024237152 301128656289 307535648976 315938262336 343819923712 355430545128 374834607552 378739134714 386797414176 390826553907 397365649536 401504875052 410047531968 421251016448 447036355728 461303473464 473907393504 499779476736 504985512952 515729885568 521102071876 546730042624 562251911328 568108702071 580196121264 596048474304 602257312578 615071297952 631876524672 710861090256 749669215104 757478269428 773594828352 781653107814 794731299072 803009750104 820095063936 894072711456 903385968867 922606946928 947814787008 1009971025904 1031459771136 1042204143752 1124503822656 1136217404142 1160392242528 1172479661721 1192096948608 1204514625156 1230142595904 1263753049344 1421722180512 1499338430208 1514956538856 1547189656704 1563306215628 1606019500208 1640190127872 1704326106213 1788145422912 1806771937734 1845213893856 1895629574016 2019942051808 2084408287504 2249007645312 2272434808284 2320784485056 2344959323442 2384193897216 2409029250312 2460285191808 2710157906601 2843444361024 3029913077712 3094379313408 3126612431256 3212039000416 3408652212426 3517438985163 3576290845824 3613543875468 3690427787712 3791259148032 4039884103616 4168816575008 4498015290624 4544869616568 4641568970112 4689918646884 4818058500624 4920570383616 5420315813202 5686888722048 6059826155424 6122949344543 6253224862512 6424078000832 6817304424852 7034877970326 7152581691648 7227087750936 7380855575424 8079768207232 8337633150016 9089739233136 9283137940224 9379837293768 9636117001248 10840631626404 11373777444096 12119652310848 12245898689086 12506449725024 12848156001664 13634608849704 14069755940652 14454175501872 14761711150848 16159536414464 16675266300032 18179478466272 18368848033629 18759674587536 19272234002496 21681263252808 24239304621696 24491797378172 25012899450048 25696312003328 27269217699408 28139511881304 28908351003744 33350532600064 36358956932544 36737696067258 37519349175072 38544468004992 43362526505616 48478609243392 48983594756344 50025798900096 54538435398816 55106544100887 56279023762608 57816702007488 72717913865088 73475392134516 75038698350144 77088936009984 86725053011232 97967189512688 100051597800192 109076870797632 110213088201774 112558047525216 115633404014976 145435827730176 146950784269032 150077396700288 165319632302661 173450106022464 195934379025376 218153741595264 220426176403548 225116095050432 231266808029952 293901568538064 300154793400576 330639264605322 346900212044928 391868758050752 436307483190528 440852352807096 450232190100864 587803137076128 661278529210644 693800424089856 783737516101504 881704705614192 900464380201728 1175606274152256 1322557058421288 1567475032203008 1763409411228384 2351212548304512 2645114116842576 3526818822456768 4702425096609024 5290228233685152 7053637644913536 10580456467370304 14107275289827072 21160912934740608 42321825869481216
- Sum of all divisors σ(n): 131299643498083200
- Sum of proper divisors (its aliquot sum) s(n): 88977817628601984
- 42321825869481216 is an abundant number, because the sum of its proper divisors (88977817628601984) is greater than itself. Its abundance is 46655991759120768
Bases of 42321825869481216
- Binary: 100101100101101101111001111101010011001001000101000000002
- Hexadecimal: 0x965B79F5324500
- Base-36: BKPU2EDIYO0
Squares and roots of 42321825869481216
- 42321825869481216 squared (423218258694812162) is 1791136944926689484675984976838656
- 42321825869481216 cubed (423218258694812163) is 75804185891581919097180221882883436126606454685696
-
The
square root of 42321825869481216 is 205722691.6737218271 -
The
cube root of 42321825869481216 is 348488.2439394619
Scales and comparisons
How big is 42321825869481216?- 42,321,825,869,481,216 seconds is equal to 1,345,703,152 years, 33 weeks, 4 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 42,321,825,869,481,216 would take you about four billion, thirty-seven million, one hundred nine thousand, four hundred fifty-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 42321825869481216 cubic inches would be around 29040.7 feet tall.
Recreational maths with 42321825869481216
- 42321825869481216 backwards is 61218496852812324
- 42321825869481216 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42321825869481216's digits is 72
- More coming soon!
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"Number 42321825869481216 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 42321825869481216 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/42321825869481216/
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The information we have on file for 42321825869481216 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 42321825869481216, math, Factors of 42321825869481216, curriculum, school, college, exams, university, Prime factorization of 42321825869481216, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, three hundred twenty-one trillion, eight hundred twenty-five billion, eight hundred sixty-nine million, four hundred eighty-one thousand, two hundred sixteen.