42204976729344
42,204,976,729,344 is an even composite number composed of six prime numbers multiplied together.
42204976729344 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 42204976729344:
28 × 36 × 11 × 13 × 532 × 563
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 53 × 53 × 563)See below for interesting mathematical facts about the number 42204976729344 from the Numbermatics database.
Names of 42204976729344
- Cardinal: 42204976729344 can be written as Forty-two trillion, two hundred four billion, nine hundred seventy-six million, seven hundred twenty-nine thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 4.2204976729344 × 1013
Factors of 42204976729344
Divisors of 42204976729344
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 53 54 64 66 72 78 81 88 96 99 104 106 108 117 128 132 143 144 156 159 162 176 192 198 208 212 216 234 243 256 264 286 288 297 312 318 324 351 352 384 396 416 424 429 432 468 477 486 528 563 572 576 583 594 624 636 648 689 702 704 729 768 792 832 848 858 864 891 936 954 972 1053 1056 1126 1144 1152 1166 1188 1248 1272 1287 1296 1378 1404 1408 1431 1458 1584 1664 1689 1696 1716 1728 1749 1782 1872 1908 1944 2067 2106 2112 2252 2288 2304 2332 2376 2496 2544 2574 2592 2673 2756 2808 2809 2816 2862 2916 3159 3168 3328 3378 3392 3432 3456 3498 3564 3744 3816 3861 3888 4134 4212 4224 4293 4504 4576 4664 4752 4992 5067 5088 5148 5184 5247 5346 5512 5616 5618 5724 5832 6193 6201 6318 6336 6756 6784 6864 6912 6996 7128 7319 7488 7579 7632 7722 7776 8019 8268 8424 8427 8448 8586 9008 9152 9328 9477 9504 9984 10134 10176 10296 10368 10494 10692 11024 11232 11236 11448 11583 11664 12386 12402 12636 12672 12879 13512 13568 13728 13992 14256 14638 14976 15158 15201 15264 15444 15552 15741 16038 16536 16848 16854 17172 18016 18304 18579 18603 18656 18954 19008 20268 20352 20592 20736 20988 21384 21957 22048 22464 22472 22737 22896 23166 23328 24772 24804 25272 25281 25344 25758 27024 27456 27984 28512 29276 29839 29952 30316 30402 30528 30888 30899 31104 31482 32076 33072 33696 33708 34344 34749 36032 36517 36608 37158 37206 37312 37908 38016 38637 40536 40704 41184 41976 42768 43914 44096 44928 44944 45474 45603 45792 46332 46656 47223 49544 49608 50544 50562 51516 54048 54912 55737 55809 55968 57024 58552 59678 60632 60804 61056 61776 61798 62208 62964 64152 65871 66144 67392 67416 68211 68688 69498 72064 73034 74316 74412 74624 75816 75843 76032 77274 80509 81072 82368 83952 85536 87828 88192 89517 89856 89888 90948 91206 91584 92664 92697 93312 94446 99088 99216 101088 101124 103032 104247 108096 109551 109824 111474 111618 111936 114048 117104 119356 121264 121608 122112 123552 123596 125928 128304 131742 132288 134784 134832 136422 136809 137376 138996 141669 144128 146068 148632 148824 149248 151632 151686 154548 161018 162144 164736 167211 167427 167904 171072 175656 176384 179034 179776 181896 182412 183168 185328 185394 186624 188892 197613 198176 198432 202176 202248 204633 206064 208494 216192 219102 222948 223236 223872 227529 228096 234208 238712 241527 242528 243216 247104 247192 251856 256608 263484 264576 268551 269568 269664 272844 273618 274752 277992 278091 283338 292136 297264 297648 303264 303372 309096 322036 324288 328229 328653 329472 334422 334854 335808 342144 351312 358068 359552 363792 364824 366336 370656 370788 377784 387907 395226 396352 396864 401687 404352 404496 409266 410427 412128 416988 425007 432384 438204 445896 446472 447744 455058 468416 477424 483054 485056 486432 494208 494384 501633 502281 503712 513216 526968 529152 537102 539328 545688 547236 549504 555984 556182 566676 584272 592839 594528 595296 606528 606744 613899 618192 644072 648576 656458 657306 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252405504 256197654 260293176 262113408 273086528 278239104 278338192 282784203 283589856 283956192 288940608 292829823 297912576 303641664 307222344 308495616 309370752 313018992 313130466 319038588 320360832 328945136 335151648 341475264 341596872 345625137 347057568 348042096 353605824 360405936 370063278 377045604 378119808 378608256 384296481 385254144 390439764 404855552 409629792 417358656 417507288 425384784 425934288 446868864 452299562 455300352 455462496 460833516 462743424 464056128 469528488 469695699 471474432 478557882 480541248 493417704 502727472 512395308 520586352 524226816 546173056 555094917 556478208 556676384 565568406 567179712 567912384 577881216 585659646 607283328 614444688 618741504 626037984 626260932 638077176 640721664 657890272 670303296 678449343 682950528 683193744 691250274 694115136 696084192 707211648 720811872 740126556 754091208 756239616 757216512 768592962 780879528 819259584 834717312 835014576 850769568 851868576 893737728 904599124 910924992 921667032 925486848 928112256 939056976 939391398 957115764 961082496 986835408 1005454944 1024790616 1036875411 1041172704 1092346112 1110189834 1113352768 1131136812 1134359424 1135824768 1152889443 1155762432 1171319292 1214566656 1228889376 1252075968 1252521864 1276154352 1315780544 1340606592 1356898686 1365901056 1366387488 1382500548 1388230272 1392168384 1409087097 1414423296 1441623744 1480253112 1508182416 1537185924 1561759056 1638519168 1665284751 1669434624 1670029152 1701539136 1703737152 1809198248 1821849984 1843334064 1856224512 1878113952 1878782796 1914231528 1922164992 1973670816 2010909888 2035348029 2049581232 2073750822 2082345408 2220379668 2226705536 2262273624 2268718848 2271649536 2305778886 2342638584 2457778752 2504151936 2505043728 2552308704 2631561088 2681213184 2713797372 2732774976 2765001096 2776460544 2784336768 2818174194 2883247488 2960506224 3016364832 3074371848 3110626233 3123518112 3277038336 3330569502 3340058304 3403078272 3407474304 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18741108672 19983417012 20040349824 20418469632 21710378976 22120008768 22545393552 23684049792 24130918656 24424176348 24594974784 24885009864 24988144896 25363567746 26644556016 28947171968 29493345024 29975125518 30060524736 30627704448 32565568464 32793299712 33180013152 33818090328 35526074688 36196377984 36636264522 36892462176 37482217344 39966834024 40080699648 43420757952 44240017536 45090787104 47368099584 48848352696 49189949568 49770019728 50727135492 53289112032 54954396783 57894343936 59950251036 60121049472 61255408896 65131136928 66360026304 67636180656 71052149376 72392755968 73272529044 73784924352 74964434688 79933668048 86841515904 88480035072 90181574208 97696705392 98379899136 99540039456 101454270984 106578224064 109908793566 119900502072 120242098944 130262273856 132720052608 135272361312 142104298752 146545058088 147569848704 159867336096 164863190349 173683031808 180363148416 195393410784 199080078912 202908541968 213156448128 219817587132 239801004144 260524547712 265440105216 270544722624 293090116176 295139697408 319734672192 329726380698 360726296832 390786821568 398160157824 405817083936 426312896256 439635174264 479602008288 521049095424 541089445248 586180232352 639469344384 659452761396 781573643136 796320315648 811634167872 879270348528 959204016576 1082178890496 1172360464704 1278938688768 1318905522792 1563147286272 1623268335744 1758540697056 1918408033152 2344720929408 2637811045584 3246536671488 3517081394112 3836816066304 4689441858816 5275622091168 7034162788224 10551244182336 14068325576448 21102488364672 42204976729344
- Sum of all divisors σ(n): 151513313420448
- Sum of proper divisors (its aliquot sum) s(n): 109308336691104
- 42204976729344 is an abundant number, because the sum of its proper divisors (109308336691104) is greater than itself. Its abundance is 67103359961760
Bases of 42204976729344
- Binary: 10011001100010100111001010010101001101000000002
- Hexadecimal: 0x26629CA54D00
- Base-36: EYKP5G000
Squares and roots of 42204976729344
- 42204976729344 squared (422049767293442) is 1781260060724468563430670336
- 42204976729344 cubed (422049767293443) is 75178039411786076061372719121570761539584
-
The
square root of 42204976729344 is 6496535.7483311057 -
The
cube root of 42204976729344 is 34816.7226872187
Scales and comparisons
How big is 42204976729344?- 42,204,976,729,344 seconds is equal to 1,341,987 years, 36 weeks, 6 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 42,204,976,729,344 would take you about three million, three hundred fifty-four thousand, nine hundred sixty-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 42204976729344 cubic inches would be around 2901.4 feet tall.
Recreational maths with 42204976729344
- 42204976729344 backwards is 44392767940224
- The number of decimal digits it has is: 14
- The sum of 42204976729344's digits is 63
- More coming soon!
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The information we have on file for 42204976729344 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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