42123311328384
42,123,311,328,384 is an even composite number composed of six prime numbers multiplied together.
What does the number 42123311328384 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
42123311328384 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 42123311328384:
27 × 33 × 113 × 13 × 312 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 11 × 13 × 31 × 31 × 733)See below for interesting mathematical facts about the number 42123311328384 from the Numbermatics database.
Names of 42123311328384
- Cardinal: 42123311328384 can be written as Forty-two trillion, one hundred twenty-three billion, three hundred eleven million, three hundred twenty-eight thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 4.2123311328384 × 1013
Factors of 42123311328384
Divisors of 42123311328384
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 31 32 33 36 39 44 48 52 54 62 64 66 72 78 88 93 96 99 104 108 117 121 124 128 132 143 144 156 176 186 192 198 208 216 234 242 248 264 279 286 288 297 312 341 351 352 363 372 384 396 403 416 429 432 468 484 496 528 558 572 576 594 624 682 702 704 726 733 744 792 806 832 837 858 864 936 961 968 992 1023 1056 1089 1116 1144 1152 1188 1209 1248 1287 1331 1364 1404 1408 1452 1466 1488 1573 1584 1612 1664 1674 1716 1728 1872 1922 1936 1984 2046 2112 2178 2199 2232 2288 2376 2418 2496 2574 2662 2728 2808 2883 2904 2932 2976 3069 3146 3168 3224 3267 3348 3432 3456 3627 3744 3751 3844 3861 3872 3968 3993 4092 4224 4356 4398 4433 4464 4576 4719 4752 4836 4992 5148 5324 5456 5616 5766 5808 5864 5952 6138 6292 6336 6448 6534 6597 6696 6864 7254 7488 7502 7688 7722 7744 7986 8063 8184 8649 8712 8796 8866 8928 9152 9207 9438 9504 9529 9672 10296 10571 10648 10881 10912 11232 11253 11532 11616 11728 11904 11979 12276 12493 12584 12672 12896 13068 13194 13299 13392 13728 14157 14508 14976 15004 15376 15444 15488 15972 16126 16368 17298 17303 17424 17592 17732 17856 18304 18414 18876 19008 19058 19344 19791 20592 21142 21296 21762 21824 22464 22506 22723 23064 23232 23456 23958 24189 24552 24986 25168 25792 25947 26136 26388 26598 26784 27456 28314 28587 29016 30008 30752 30888 31713 31944 32252 32736 33759 34596 34606 34848 35184 35464 35712 35937 36828 37479 37752 38016 38116 38688 39582 39897 41184 41261 42284 42471 42592 43524 43648 44928 45012 45446 46128 46464 46912 47916 48378 48763 49104 49972 50336 51584 51894 51909 52272 52776 53196 53568 54912 56628 57174 58032 60016 61504 61776 63426 63888 64504 65472 67518 68169 69192 69212 69696 70368 70928 71874 72567 73656 74958 75504 76232 77376 79164 79794 82368 82522 84568 84942 85184 85761 87048 88693 90024 90892 92256 93824 95139 95832 96756 97526 98208 99944 100672 101277 103788 103818 104544 104819 105552 106392 107136 112437 113256 114348 116064 116281 119691 120032 123008 123552 123783 126852 127776 129008 130944 135036 136338 137423 138384 138424 139392 140736 141856 143748 145134 146289 147312 149916 151008 152464 154752 155727 158328 159588 164736 165044 169136 169884 170368 171522 174096 177386 180048 181784 184512 190278 191664 193512 195052 196416 199888 201344 202554 204507 207576 207636 209088 209638 211104 212784 217701 224874 226512 228696 232128 232562 239382 240064 247104 247566 249953 253704 255552 257283 258016 266079 270072 272676 274846 276768 276848 281472 283712 285417 287496 290268 292578 294624 295399 299832 302016 304928 311454 314457 316656 319176 330088 337311 338272 339768 343044 348192 348843 354772 360096 363568 369024 371349 380556 383328 387024 390104 392832 399776 405108 409014 412269 415152 415272 418176 419276 422208 425568 435402 438867 449748 453024 457392 464256 465124 467181 478764 480128 494208 495132 499906 507408 511104 514566 516032 532158 536393 540144 545352 549692 553536 553696 567424 570834 574992 580536 585156 589248 590798 599664 604032 609856 613521 622908 628914 633312 638352 660176 674622 676544 679536 686088 696384 697686 704413 709544 720192 727136 742698 749859 761112 766656 774048 780208 798237 799552 810216 818028 824538 830304 830544 838552 844416 851136 870804 877734 886197 899496 906048 914784 930248 934362 943371 957528 975623 990264 999812 1014816 1029132 1032064 1046529 1064316 1072786 1080288 1090704 1099384 1107072 1107392 1114047 1141668 1149984 1153009 1161072 1170312 1178496 1181596 1199328 1219712 1227042 1236807 1245816 1257828 1266624 1276704 1279091 1316601 1320352 1349244 1353088 1359072 1372176 1392768 1395372 1408826 1419088 1440384 1454272 1485396 1499718 1511653 1522224 1533312 1548096 1560416 1596474 1599104 1609179 1620432 1636056 1649076 1660608 1661088 1677104 1702272 1741608 1755468 1772394 1798992 1812096 1829568 1860496 1868724 1886742 1915056 1951246 1980528 1999624 2029632 2058264 2093058 2113239 2128632 2145572 2160576 2181408 2198768 2214784 2228094 2249577 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73258952 73792576 74236041 76076604 76098594 76630752 77240592 77985336 78530688 79155648 81629262 81861824 82416321 83016648 84262464 85074912 85233973 87733503 87983456 90164864 90563616 90732939 92094552 92982516 93659808 95981952 96745792 98981388 99769098 100466784 100731059 101435472 101464792 102174336 102987456 103980448 105367284 107229837 107979696 108839016 109888428 110688864 113433216 114147891 115860888 116978004 118733472 120751488 120977252 122792736 123976688 124524972 124879744 127612368 131975184 133025464 133955712 135247296 138141828 139473774 140489712 142598016 142973116 143972928 145118688 146517904 147585152 148472082 149653647 152153208 152197188 153261504 154481184 155970672 158311296 163258524 163723648 164832642 166033296 168524928 170149824 170467946 175467006 175966912 181127232 181465878 184189104 185965032 187319616 193491584 197962776 199538196 200933568 201462118 202870944 202929584 205974912 207960896 209210661 210734568 214459674 215959392 217678032 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786352138 791851104 798152784 805848472 811483776 811718336 816596451 836842644 842938272 857838696 863837568 870712128 879107424 897921882 906579531 913183128 926887104 935824032 937573703 965068533 967818016 988995852 991813504 996199776 1020898944 1022807676 1055801472 1064203712 1088795268 1105134624 1108041649 1115790192 1123917696 1143784928 1172143232 1179528207 1187776656 1197229176 1208772708 1217225664 1217577504 1247765376 1286758044 1306068192 1318661136 1328266368 1363743568 1369774692 1403736048 1451727024 1473512832 1487720256 1534211514 1572704276 1583702208 1596305568 1611696944 1623436672 1633192902 1673685288 1685876544 1715677392 1741424256 1758214848 1795843764 1813159062 1826366256 1853774208 1871648064 1875147406 1930137066 1935636032 1977991704 1992399552 2045615352 2128407424 2177590536 2210269248 2216083298 2231580384 2287569856 2301317271 2359056414 2375553312 2394458352 2417545416 2434451328 2435155008 2573516088 2612136384 2637322272 2719738593 2727487136 2739549384 2807472096 2812721109 2903454048 2975440512 3068423028 3145408552 3167404416 3192611136 3223393888 3266385804 3324124947 3347370576 3371753088 3431354784 3516429696 3538584621 3591687528 3626318124 3652732512 3743296128 3750294812 3860274132 3871272064 3955983408 3984799104 4091230704 4355181072 4420538496 4432166596 4463160768 4575139712 4602634542 4718112828 4751106624 4788916704 4835090832 4870310016 5147032176 5224272768 5274644544 5439477186 5454974272 5479098768 5614944192 5625442218 5806908096 6136846056 6290817104 6385222272 6446787776 6532771608 6648249894 6694741152 6862709568 7077169242 7183375056 7252636248 7305465024 7500589624 7720548264 7911966816 8182461408 8438163327 8710362144 8864333192 8926321536 9205269084 9436225656 9502213248 9577833408 9670181664 9972374841 10294064352 10549289088 10615753863 10878954372 10909948544 10958197536 11229888384 11250884436 11613816192 12188458139 12273692112 12581634208 12893575552 13065543216 13296499788 13389482304 13725419136 14154338484 14366750112 14505272496 14610930048 15001179248 15441096528 15823933632 16364922816 16876326654 17420724288 17728666384 18410538168 18872451312 19155666816 19340363328 19944749682 20588128704 21231507726 21757908744 21916395072 22501768872 24376916278 24547384224 25163268416 25314489981 26131086432 26592999576 26778964608 28308676968 28733500224 29010544992 29917124523 30002358496 30882193056 31647867264 32729845632 33752653308 34841448576 35457332768 36565374417 36821076336 37744902624 38680726656 39889499364 41176257408 42463015452 43515817488 43832790144 45003537744 48753832556 49094768448 50326536832 50628979962 52262172864 53185999152 56617353936 57467000448 58021089984 59834249046 60004716992 61764386112 67505306616 70914665536 73130748834 73642152672 75489805248 79778998728 84926030904 87031634976 90007075488 97507665112 98189536896 101257959924 104524345728 106371998304 109696123251 113234707872 116042179968 119668498092 120009433984 123528772224 135010613232 141829331072 146261497668 147284305344 150979610496 159557997456 169852061808 174063269952 180014150976 195015330224 202515919848 212743996608 219392246502 226469415744 239336996184 270021226464 292522995336 294568610688 319115994912 329088369753 339704123616 348126539904 360028301952 390030660448 405031839696 425487993216 438784493004 452938831488 478673992368 540042452928 585045990672 638231989824 658176739506 679408247232 780061320896 810063679392 877568986008 957347984736 1080084905856 1170091981344 1276463979648 1316353479012 1358816494464 1560122641792 1620127358784 1755137972016 1914695969472 2340183962688 2632706958024 3240254717568 3510275944032 3829391938944 4680367925376 5265413916048 7020551888064 10530827832096 14041103776128 21061655664192 42123311328384
- Sum of all divisors σ(n): 152375306630400
- Sum of proper divisors (its aliquot sum) s(n): 110251995302016
- 42123311328384 is an abundant number, because the sum of its proper divisors (110251995302016) is greater than itself. Its abundance is 68128683973632
Bases of 42123311328384
- Binary: 10011001001111100110010000001000101100100000002
- Hexadecimal: 0x264F99022C80
- Base-36: EXJ6JZ1C0
Squares and roots of 42123311328384
- 42123311328384 squared (421233113283842) is 1774373357267963826684051456
- 42123311328384 cubed (421233113283843) is 74742481340988371161245431482906369327104
-
The
square root of 42123311328384 is 6490247.4011692343 -
The
cube root of 42123311328384 is 34794.2517392591
Scales and comparisons
How big is 42123311328384?- 42,123,311,328,384 seconds is equal to 1,339,391 years, 1 day, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 42,123,311,328,384 would take you about three million, three hundred forty-eight thousand, four hundred seventy-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 42123311328384 cubic inches would be around 2899.5 feet tall.
Recreational maths with 42123311328384
- 42123311328384 backwards is 48382311332124
- The number of decimal digits it has is: 14
- The sum of 42123311328384's digits is 45
- More coming soon!
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"Number 42123311328384 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 42123311328384 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/42123311328384/
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The information we have on file for 42123311328384 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 42123311328384, math, Factors of 42123311328384, curriculum, school, college, exams, university, Prime factorization of 42123311328384, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred twenty-three billion, three hundred eleven million, three hundred twenty-eight thousand, three hundred eighty-four.