42438256624512
42,438,256,624,512 is an even composite number composed of seven prime numbers multiplied together.
42438256624512 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42438256624512:
27 × 32 × 72 × 17 × 53 × 61 × 13679
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 17 × 53 × 61 × 13679)See below for interesting mathematical facts about the number 42438256624512 from the Numbermatics database.
Names of 42438256624512
- Cardinal: 42438256624512 can be written as Forty-two trillion, four hundred thirty-eight billion, two hundred fifty-six million, six hundred twenty-four thousand, five hundred twelve.
Scientific notation
- Scientific notation: 4.2438256624512 × 1013
Factors of 42438256624512
Divisors of 42438256624512
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 49 51 53 56 61 63 64 68 72 84 96 98 102 106 112 119 122 126 128 136 144 147 153 159 168 183 192 196 204 212 224 238 244 252 272 288 294 306 318 336 357 366 371 384 392 408 424 427 441 448 476 477 488 504 544 549 576 588 612 636 672 714 732 742 784 816 833 848 854 882 896 901 952 954 976 1008 1037 1071 1088 1098 1113 1152 1176 1224 1272 1281 1344 1428 1464 1484 1568 1632 1666 1696 1708 1764 1802 1904 1908 1952 2016 2074 2142 2176 2196 2226 2352 2448 2499 2544 2562 2597 2688 2703 2856 2928 2968 2989 3111 3136 3233 3264 3332 3339 3392 3416 3528 3604 3808 3816 3843 3904 4032 4148 4284 4392 4452 4704 4896 4998 5088 5124 5194 5406 5712 5856 5936 5978 6222 6272 6307 6466 6528 6664 6678 6784 6832 7056 7208 7259 7497 7616 7632 7686 7791 7808 8064 8109 8296 8568 8784 8904 8967 9333 9408 9699 9792 9996 10176 10248 10388 10812 11424 11712 11872 11956 12444 12614 12932 13328 13356 13664 13679 14112 14416 14518 14994 15232 15264 15372 15582 16218 16592 17136 17568 17808 17934 18666 18816 18921 19398 19584 19992 20352 20496 20776 21624 21777 22631 22848 23373 23424 23744 23912 24888 25228 25864 26656 26712 26901 27328 27358 28224 28832 29036 29097 29988 30528 30744 31164 32436 33184 34272 35136 35616 35868 37332 37842 38796 39984 40992 41037 41552 43248 43554 44149 45262 45696 46746 47488 47824 49776 50456 50813 51728 53312 53424 53802 54656 54716 54961 56448 56763 57664 58072 58194 59976 61056 61488 62328 64872 65331 66368 67893 68544 70272 71232 71736 74664 75684 77592 79968 81984 82074 83104 86496 87108 88298 90524 93492 95648 95753 99552 100912 101626 103456 106624 106848 107604 109432 109922 113526 115328 116144 116388 119952 122976 123111 124656 129744 130662 132447 132736 135786 137088 142464 143472 149328 151368 152439 155184 158417 159936 163968 164148 164883 166208 172992 174216 176596 181048 186984 191296 191506 199104 201824 203252 203679 206912 213696 215208 218864 219844 227052 232288 232543 232776 239904 245952 246222 249312 259488 261324 264894 271572 286944 287259 298656 302736 304878 310368 316834 319872 328296 329766 332416 345984 348432 353192 362096 373968 382592 383012 384727 397341 398208 403648 406504 407358 413824 427392 430416 437728 439688 454104 457317 464576 465086 465552 475251 479808 491904 492444 494649 498624 518976 522648 529788 543144 573888 574518 597312 605472 609756 620736 633668 656592 659532 670271 696864 697629 706384 724192 724987 747936 766024 769454 794682 807296 813008 814716 834419 860832 861777 875456 879376 908208 914634 929152 930172 931104 950502 959616 984888 989298 997248 1037952 1045296 1059576 1086288 1147776 1149036 1154181 1194624 1210944 1219512 1241472 1267336 1313184 1319064 1340542 1393728 1395258 1412768 1425753 1448384 1449974 1495872 1532048 1538908 1589364 1626016 1627801 1629432 1668838 1721664 1723554 1750912 1758752 1816416 1829268 1860344 1862208 1901004 1969776 1978596 2010813 2090592 2092887 2119152 2172576 2174961 2298072 2308362 2421888 2439024 2503257 2534672 2626368 2638128 2681084 2693089 2787456 2790516 2825536 2851506 2896768 2899948 2991744 3064096 3077816 3178728 3252032 3255602 3258864 3337676 3443328 3447108 3462543 3517504 3632832 3658536 3720688 3724416 3802008 3939552 3957192 4021626 4181184 4185774 4238304 4345152 4349922 4596144 4616724 4878048 4883403 5006514 5069344 5074909 5252736 5276256 5362168 5386178 5581032 5651072 5703012 5799896 5840933 6032439 6128192 6155632 6357456 6504064 6511204 6517728 6524883 6675352 6894216 6925086 7035008 7265664 7317072 7441376 7509771 7604016 7879104 7914384 8043252 8079267 8362368 8371548 8476608 8690304 8699844 9192288 9233448 9756096 9766806 10013028 10138688 10149818 10552512 10724336 10772356 11162064 11394607 11406024 11599792 11681866 12064878 12256384 12311264 12324779 12714912 13022408 13035456 13049766 13350704 13788432 13850172 14185123 14634144 14650209 14882752 15019542 15208032 15224727 15758208 15828768 16086504 16158534 16743096 16953216 17399688 17522799 18384576 18466896 19512192 19533612 20026056 20277376 20299636 21105024 21448672 21544712 22324128 22789214 22812048 23199584 23363732 24129756 24237801 24622528 24649558 25429824 26044816 26070912 26099532 26701408 27576864 27700344 28370246 29268288 29300418 29765504 30039084 30416064 30449454 31657536 32173008 32317068 33486192 34183821 34799376 35045598 35524363 36769152 36933792 36974337 39067224 40052112 40599272 40886531 42555369 42897344 43089424 44224207 44648256 45578428 45624096 45674181 46399168 46727464 48259512 48475602 49245056 49299116 50859648 52089632 52199064 52568397 53402816 55153728 55400688 56740492 58536576 58600836 60078168 60832128 60898908 63315072 64346016 64634136 66972384 68367642 69598752 70091196 71048726 73867584 73948674 78134448 80104224 81198544 81773062 85110738 85794688 86178848 86273453 88448414 89296512 91156856 91248192 91348362 92798336 93454928 96519024 96951204 98598232 99295861 102551463 104179264 104398128 105136794 106573089 106805632 110307456 110801376 110923011 113480984 117201672 120156336 121797816 122659593 127666107 128692032 129268272 132672621 133944768 136735284 139197504 140182392 142097452 147735168 147897348 156268896 160208448 162397088 163546124 170221476 172357696 172546906 176896828 182313712 182496384 182696724 186909856 193038048 193902408 197196464 198591722 205102926 208358528 208796256 210273588 213146178 221602752 221846022 226961968 234403344 240312672 243595632 245319186 255332214 257384064 258536544 258820359 265345242 267889536 273470568 278395008 280364784 284194904 295794696 297887583 309569449 312537792 319719267 320416896 324794176 327092248 340442952 344715392 345093812 353793656 364627424 365393448 367978779 373819712 386076096 387804816 394392928 397183444 398017863 410205852 417592512 420547176 426292356 443205504 443692044 453923936 468806688 480625344 487191264 490638372 510664428 517073088 517640718 530690484 546941136 560729568 568389808 591589392 595775166 603914171 619138898 625075584 639438534 649588352 654184496 680885904 690187624 695071027 707587312 729254848 730786896 735957558 747639424 751811519 772152192 775609632 776461077 788785856 794366888 796035726 820411704 835185024 841094352 852584712 887384088 893662749 907847872 928708347 937613376 961250688 974382528 981276744 1021328856 1034146176 1035281436 1061380968 1093882272 1121459136 1136779616 1183178784 1191550332 1207828342 1238277796 1278877068 1308368992 1361771808 1380375248 1390142054 1415174624 1458509696 1461573792 1471915116 1503623038 1551219264 1552922154 1577571712 1588733776 1592071452 1640823408 1682188704 1705169424 1774768176 1787325498 1811742513 1815695744 1857416694 1875226752 1948765056 1962553488 2042657712 2070562872 2085213081 2122761936 2166986143 2187764544 2242918272 2255434557 2273559232 2366357568 2383100664 2415656684 2476555592 2557754136 2616737984 2723543616 2760750496 2780284108 2786125041 2830349248 2923147584 2943830232 3007246076 3102438528 3105844308 3177467552 3184142904 3281646816 3364377408 3410338848 3549536352 3574650996 3623485026 3714833388 3925106976 4085315424 4141125744 4170426162 4245523872 4333972286 4375529088 4510869114 4547118464 4732715136 4766201328 4831313368 4953111184 5115508272 5233475968 5262680633 5435227539 5447087232 5521500992 5560568216 5572250082 5660698496 5846295168 5887660464 6014492152 6211688616 6255639243 6354935104 6368285808 6500958429 6563293632 6728754816 6766303671 6820677696 7099072704 7149301992 7246970052 7429666776 7850213952 8170630848 8282251488 8340852324 8491047744 8667944572 9021738228 9532402656 9662626736 9906222368 10231016544 10525361266 10870455078 11043001984 11121136432 11144500164 11775320928 12028984304 12423377232 12511278486 12709870208 12736571616 13001916858 13126587264 13532607342 13641355392 14198145408 14298603984 14493940104 14859333552 15700427904 15788041899 16341261696 16564502976 16681704648 16982095488 17335889144 18043476456 19064805312 19325253472 19502875287 19812444736 20462033088 21050722532 21740910156 22242272864 22289000328 23550641856 24057968608 24846754464 25022556972 25473143232 26003833716 27065214684 28597207968 28987880208 29718667104 31576083798 33129005952 33363409296 34671778288 36086952912 36838764431 38129610624 38650506944 39005750574 39624889472 40924066176 42101445064 43481820312 44484545728 44578000656 47101283712 47364125697 48115937216 49693508928 50045113944 50946286464 52007667432 54130429368 57194415936 57975760416 59437334208 63152167596 66726818592 69343556576 72173905824 73677528862 77301013888 78011501148 84202890128 86963640624 88969091456 89156001312 94728251394 96231874432 99387017856 100090227888 104015334864 108260858736 110516293293 114388831872 115951520832 118874668416 126304335192 133453637184 138687113152 144347811648 147355057724 156023002296 168405780256 173927281248 178312002624 189456502788 200180455776 208030669728 216521717472 221032586586 231903041664 252608670384 266907274368 277374226304 288695623296 294710115448 312046004592 331548879879 336811560512 347854562496 356624005248 378913005576 400360911552 416061339456 433043434944 442065173172 505217340768 589420230896 624092009184 663097759758 673623121024 695709124992 757826011152 800721823104 832122678912 866086869888 884130346344 1010434681536 1178840461792 1248184018368 1326195519516 1515652022304 1768260692688 2020869363072 2357680923584 2496368036736 2652391039032 3031304044608 3536521385376 4715361847168 5304782078064 6062608089216 7073042770752 10609564156128 14146085541504 21219128312256 42438256624512
- Sum of all divisors σ(n): 155776678761600
- Sum of proper divisors (its aliquot sum) s(n): 113338422137088
- 42438256624512 is an abundant number, because the sum of its proper divisors (113338422137088) is greater than itself. Its abundance is 70900165512576
Bases of 42438256624512
- Binary: 10011010011000111011010011011000000011100000002
- Hexadecimal: 0x2698ED360380
- Base-36: F1JV69R40
Squares and roots of 42438256624512
- 42438256624512 squared (424382566245122) is 1801005625327936652159238144
- 42438256624512 cubed (424382566245123) is 76431538909856684680917075633306995785728
-
The
square root of 42438256624512 is 6514465.1833064547 -
The
cube root of 42438256624512 is 34880.7524414385
Scales and comparisons
How big is 42438256624512?- 42,438,256,624,512 seconds is equal to 1,349,405 years, 15 weeks, 17 hours, 55 minutes, 12 seconds.
-
To count from 1 to 42,438,256,624,512 would take you about three million, three hundred seventy-three thousand, five hundred thirteen 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 42438256624512 cubic inches would be around 2906.7 feet tall.
Recreational maths with 42438256624512
- 42438256624512 backwards is 21542665283424
- The number of decimal digits it has is: 14
- The sum of 42438256624512's digits is 54
- More coming soon!
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The information we have on file for 42438256624512 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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