42122424501248
42,122,424,501,248 is an even composite number composed of five prime numbers multiplied together.
What does the number 42122424501248 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1056 divisors.
42122424501248 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 42122424501248:
210 × 73 × 135 × 17 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 13 × 13 × 13 × 13 × 17 × 19)See below for interesting mathematical facts about the number 42122424501248 from the Numbermatics database.
Names of 42122424501248
- Cardinal: 42122424501248 can be written as Forty-two trillion, one hundred twenty-two billion, four hundred twenty-four million, five hundred one thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 4.2122424501248 × 1013
Factors of 42122424501248
Divisors of 42122424501248
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 19 26 28 32 34 38 49 52 56 64 68 76 91 98 104 112 119 128 133 136 152 169 182 196 208 221 224 238 247 256 266 272 304 323 338 343 364 392 416 442 448 476 494 512 532 544 608 637 646 676 686 728 784 832 833 884 896 931 952 988 1024 1064 1088 1183 1216 1274 1292 1352 1372 1456 1547 1568 1664 1666 1729 1768 1792 1862 1904 1976 2128 2176 2197 2261 2366 2432 2548 2584 2704 2744 2873 2912 3094 3136 3211 3328 3332 3458 3536 3584 3724 3808 3952 4199 4256 4352 4394 4459 4522 4732 4864 5096 5168 5408 5488 5746 5824 5831 6188 6272 6422 6517 6656 6664 6916 7072 7168 7448 7616 7904 8281 8398 8512 8704 8788 8918 9044 9464 9728 10192 10336 10816 10829 10976 11492 11648 11662 12103 12376 12544 12844 13034 13312 13328 13832 14144 14896 15232 15379 15808 15827 16562 16796 17024 17408 17576 17836 18088 18928 19456 20111 20384 20672 21632 21658 21952 22477 22984 23296 23324 24206 24752 25088 25688 26068 26656 27664 28288 28561 29393 29792 30464 30758 31616 31654 33124 33592 34048 35152 35672 36176 37349 37856 40222 40768 41344 41743 43264 43316 43904 44954 45968 46592 46648 48412 49504 50176 51376 52136 53312 54587 55328 56576 57122 57967 58786 59584 60928 61516 63232 63308 66248 67184 68096 70304 71344 72352 74698 75712 75803 80444 81536 82688 83486 84721 86528 86632 87808 89908 91936 93184 93296 96824 99008 102752 104272 106624 107653 109174 110656 110789 113152 114244 115934 117572 119168 121856 123032 126464 126616 132496 134368 136192 140608 140777 142688 144704 149396 151424 151606 157339 160888 163072 165376 166972 169442 173056 173264 175616 179816 183872 186592 193648 198016 199927 205504 205751 208544 213248 215306 218348 221312 221578 226304 228488 231868 235144 238336 246064 252928 253232 261443 264992 268736 281216 281554 285376 289408 292201 298792 302848 303212 314678 321776 326144 330752 333944 338884 346528 351232 359632 367744 371293 373184 382109 387296 396032 399854 411008 411502 417088 426496 430612 436696 442624 443156 456976 463736 470288 476672 485537 492128 506464 522886 529984 537472 542659 562432 563108 570752 578816 584402 597584 605696 606424 629356 643552 652288 667888 677768 693056 709631 719264 735488 742586 746368 753571 764218 774592 792064 799708 822016 823004 834176 852992 861224 873392 885248 886312 913952 927472 940576 953344 971074 984256 985439 1012928 1045772 1059968 1074944 1085318 1101373 1124864 1126216 1141504 1157632 1168804 1195168 1211392 1212848 1258712 1287104 1335776 1355536 1386112 1399489 1419262 1438528 1440257 1470976 1485172 1492736 1507142 1528436 1549184 1584128 1599416 1644032 1646008 1668352 1722448 1746784 1770496 1772624 1827904 1830101 1854944 1881152 1942148 1968512 1970878 2025856 2045407 2091544 2119936 2149888 2170636 2202746 2249728 2252432 2283008 2315264 2337608 2390336 2425696 2517424 2574208 2599051 2671552 2674763 2711072 2772224 2798978 2838524 2877056 2880514 2941952 2970344 2985472 3014284 3056872 3098368 3198832 3288064 3292016 3336704 3398759 3444896 3493568 3545248 3655808 3660202 3709888 3762304 3798613 3884296 3937024 3941756 4051712 4090814 4183088 4239872 4299776 4341272 4405492 4504864 4566016 4675216 4780672 4851392 4967417 5034848 5148416 5198102 5343104 5349526 5422144 5544448 5597956 5677048 5754112 5761028 5940688 5970944 6028568 6113744 6196736 6311981 6397664 6584032 6673408 6797518 6889792 6987136 7054567 7090496 7311616 7320404 7419776 7524608 7597226 7768592 7874048 7883512 8103424 8181628 8366176 8479744 8682544 8810984 9009728 9225203 9350432 9561344 9702784 9796423 9934834 10069696 10296832 10396204 10686208 10699052 10844288 11088896 11195912 11354096 11508224 11522056 11881376 12057136 12227488 12393472 12623962 12795328 12810707 13168064 13595036 13779584 13974272 14109134 14180992 14317849 14623232 14640808 14839552 15049216 15194452 15537184 15748096 15767024 16206848 16363256 16732352 17365088 17621968 18019456 18193357 18450406 18700864 18723341 19122688 19405568 19592846 19869668 20139392 20593664 20792408 21372416 21398104 21688576 22391824 22708192 23016448 23044112 23762752 23791313 24114272 24454976 25247924 25590656 25621414 26336128 26590291 27190072 27559168 27948544 28218268 28361984 28635698 29246464 29281616 29679104 30098432 30388904 31074368 31534048 32726512 33464704 34730176 34771919 35243936 36038912 36386714 36900812 37401728 37446682 38245376 38811136 39185692 39739336 40278784 41584816 42744832 42796208 43377152 44183867 44783648 45416384 46088224 47525504 47582626 48228544 48909952 49381969 50495848 51181312 51242828 52672256 53180582 54380144 55118336 55897088 56436536 56723968 57271396 58563232 59358208 60777808 62148736 63068096 64576421 65453024 66929408 69460352 69543838 70487872 72077824 72773428 73801624 74803456 74893364 77622272 78371384 79478672 80557568 83169632 85592416 86754304 88367734 89567296 90832768 92176448 95051008 95165252 96457088 97819904 98763938 100991696 102362624 102485656 105344512 106361164 108760288 110236672 112873072 113447936 114542792 117126464 119927639 121555616 124297472 126136192 127353499 129152842 130906048 133858816 138920704 139087676 140975744 144155648 145546856 147603248 149606912 149786728 156742768 158957344 161115136 166339264 166539191 171184832 176735468 179134592 181665536 184352896 186132037 190102016 190330504 192914176 195639808 197527876 201983392 204725248 204971312 210689024 212722328 217520576 225746144 229085584 234252928 239855278 243111232 243403433 248594944 252272384 254706998 258305684 261812096 267717632 277841408 278175352 281951488 291093712 295206496 299213824 299573456 309287069 313485536 317914688 332678528 333078382 342369664 345673783 353470936 358269184 363331072 368705792 372264074 380204032 380661008 385828352 391279616 395055752 403966784 409942624 425444656 435041152 451492288 452034947 458171168 468505856 479710556 486222464 486806866 497189888 504544768 509413996 516611368 523624192 555682816 556350704 563902976 582187424 590412992 599146912 618574138 626971072 635829376 665357056 666156764 684739328 691347566 706941872 716538368 726662144 737411584 744528148 761322016 771656704 790111504 807933568 819885248 839493473 850889312 870082304 902984576 904069894 916342336 937011712 959421112 972444928 973613732 1009089536 1018827992 1033222736 1047248384 1112701408 1127805952 1164374848 1180825984 1198293824 1237148276 1253942144 1271658752 1330714112 1332313528 1369478656 1382695132 1413883744 1433076736 1474823168 1489056296 1522644032 1580223008 1615867136 1639770496 1678986946 1701778624 1740164608 1805969152 1808139788 1832684672 1874023424 1918842224 1944889856 1947227464 2037655984 2066445472 2094496768 2165009483 2225402816 2328749696 2361651968 2396587648 2419716481 2474296552 2507884288 2543317504 2661428224 2664627056 2738957312 2765390264 2827767488 2978112592 3045288064 3160446016 3164244629 3231734272 3279540992 3357973892 3403557248 3480329216 3611938304 3616279576 3665369344 3837684448 3889779712 3894454928 4075311968 4132890944 4330018966 4450805632 4657499392 4723303936 4793175296 4839432962 4948593104 5015768576 5086635008 5329254112 5530780528 5655534976 5876454311 5956225184 6090576128 6320892032 6328489258 6463468544 6559081984 6715947784 6807114496 7223876608 7232559152 7330738688 7675368896 7788909856 8150623936 8265781888 8660037932 8901611264 9314998784 9446607872 9586350592 9678865924 9897186208 10031537152 10658508224 11061561056 11311069952 11752908622 11912450368 12181152256 12641784064 12656978516 13118163968 13431895568 13614228992 14465118304 14661477376 15350737792 15577819712 16301247872 16531563776 17320075864 17803222528 18629997568 19172701184 19357731848 19794372416 21317016448 22123122112 22622139904 23505817244 23824900736 24362304512 25283568128 25313957032 26863791136 27228457984 28930236608 30701475584 31155639424 32602495744 33063127552 34640151728 35606445056 38715463696 39588744832 41135180177 42634032896 44246244224 45244279808 47011634488 47649801472 50567136256 50627914064 53727582272 57860473216 61402951168 62311278848 65204991488 66126255104 69280303456 77430927392 79177489664 82270360354 85268065792 88492488448 94023268976 95299602944 101255828128 107455164544 115720946432 122805902336 124622557696 130409982976 138560606912 154861854784 158354979328 164540720708 170536131584 176984976896 188046537952 190599205888 202511656256 214910329088 231441892864 249245115392 277121213824 309723709568 316709958656 329081441416 353969953792 376093075904 405023312512 429820658176 462883785728 554242427648 619447419136 658162882832 752186151808 810046625024 859641316352 1108484855296 1238894838272 1316325765664 1504372303616 1620093250048 2216969710592 2477789676544 2632651531328 3008744607232 3240186500096 5265303062656 6017489214464 10530606125312 21061212250624 42122424501248
- Sum of all divisors σ(n): 118565711712000
- Sum of proper divisors (its aliquot sum) s(n): 76443287210752
- 42122424501248 is an abundant number, because the sum of its proper divisors (76443287210752) is greater than itself. Its abundance is 34320862709504
Bases of 42122424501248
- Binary: 10011001001111011001000010011001000100000000002
- Hexadecimal: 0x264F64264400
- Base-36: EXIRVZ94W
Squares and roots of 42122424501248
- 42122424501248 squared (421224245012482) is 1774298645863337821553557504
- 42122424501248 cubed (421224245012483) is 74737760753045009416421644269947287764992
-
The
square root of 42122424501248 is 6490179.0808303587 -
The
cube root of 42122424501248 is 34794.0075616911
Scales and comparisons
How big is 42122424501248?- 42,122,424,501,248 seconds is equal to 1,339,362 years, 41 weeks, 6 days, 8 hours, 34 minutes, 8 seconds.
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To count from 1 to 42,122,424,501,248 would take you about three million, three hundred forty-eight thousand, four hundred 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 42122424501248 cubic inches would be around 2899.5 feet tall.
Recreational maths with 42122424501248
- 42122424501248 backwards is 84210542422124
- The number of decimal digits it has is: 14
- The sum of 42122424501248's digits is 41
- More coming soon!
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The information we have on file for 42122424501248 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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