42048683631648
42,048,683,631,648 is an even composite number composed of six prime numbers multiplied together.
42048683631648 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 42048683631648:
25 × 36 × 19 × 31 × 439 × 6971
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 31 × 439 × 6971)See below for interesting mathematical facts about the number 42048683631648 from the Numbermatics database.
Names of 42048683631648
- Cardinal: 42048683631648 can be written as Forty-two trillion, forty-eight billion, six hundred eighty-three million, six hundred thirty-one thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 4.2048683631648 × 1013
Factors of 42048683631648
Divisors of 42048683631648
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 31 32 36 38 48 54 57 62 72 76 81 93 96 108 114 124 144 152 162 171 186 216 228 243 248 279 288 304 324 342 372 432 439 456 486 496 513 558 589 608 648 684 729 744 837 864 878 912 972 992 1026 1116 1178 1296 1317 1368 1458 1488 1539 1674 1756 1767 1824 1944 2052 2232 2356 2511 2592 2634 2736 2916 2976 3078 3348 3512 3534 3888 3951 4104 4464 4617 4712 5022 5268 5301 5472 5832 6156 6696 6971 7024 7068 7533 7776 7902 8208 8341 8928 9234 9424 10044 10536 10602 11664 11853 12312 13392 13609 13851 13942 14048 14136 15066 15804 15903 16416 16682 18468 18848 20088 20913 21072 21204 22599 23328 23706 24624 25023 26784 27218 27702 27884 28272 30132 31608 31806 33364 35559 36936 40176 40827 41826 42144 42408 45198 47412 47709 49248 50046 54436 55404 55768 56544 60264 62739 63216 63612 66728 71118 73872 75069 80352 81654 83652 84816 90396 94824 95418 100092 106677 108872 110808 111536 120528 122481 125478 126432 127224 132449 133456 142236 143127 147744 150138 163308 167304 169632 180792 188217 189648 190836 200184 213354 216101 217744 221616 223072 225207 241056 244962 250956 254448 258571 264898 266912 284472 286254 300276 320031 326616 334608 361584 367443 376434 379296 381672 397347 400368 426708 429381 432202 435488 443232 450414 489924 501912 508896 517142 529796 564651 568944 572508 600552 640062 648303 653232 669216 675621 723168 734886 752868 763344 775713 794694 800736 853416 858762 864404 900828 979848 1003824 1034284 1059592 1102329 1129302 1137888 1145016 1192041 1201104 1280124 1296606 1306464 1351242 1469772 1505736 1526688 1551426 1589388 1693953 1706832 1717524 1728808 1801656 1944909 1959696 2007648 2026863 2068568 2119184 2204658 2258604 2290032 2327139 2384082 2402208 2560248 2593212 2702484 2939544 3011472 3060269 3102852 3178776 3306987 3387906 3413664 3435048 3457616 3576123 3603312 3889818 3919392 4053726 4105919 4137136 4238368 4409316 4517208 4580064 4654278 4768164 5081859 5120496 5186424 5404968 5834727 5879088 6022944 6080589 6120538 6205704 6357552 6613974 6775812 6870096 6915232 6981417 7152246 7206624 7779636 8107452 8211838 8274272 8818632 9034416 9180807 9308556 9536328 9920961 10163718 10240992 10372848 10728369 10809936 11669454 11758176 12161178 12241076 12317757 12411408 12715104 13227948 13551624 13740192 13962834 14304492 15559272 16214904 16423676 17504181 17637264 18068832 18361614 18617112 19072656 19841922 20327436 20745696 20944251 21456738 21619872 23338908 24322356 24482152 24635514 24822816 26455896 27103248 27542421 27925668 28608984 31118544 32185107 32429808 32847352 35008362 35274528 36723228 36953271 37234224 38145312 39683844 40654872 41888502 42913476 46677816 48644712 48964304 49271028 52512543 52911792 54206496 55084842 55851336 57217968 58145111 62237088 62832753 64370214 64859616 65694704 70016724 73446456 73906542 74468448 79367688 81309744 82627263 83777004 85826952 93355632 94868339 96555321 97289424 97928608 98542056 105025086 105823584 110169684 110859813 111702672 114435936 116290222 125665506 128740428 131389408 140033448 146892912 147813084 157537629 158735376 162619488 165254526 167554008 171653904 174435333 186711264 188498259 189736678 193110642 194578848 197084112 210050172 220339368 221719626 223405344 232580444 247881789 251331012 257480856 280066896 284605017 293785824 295626168 315075258 317470752 330509052 332579439 335108016 343307808 348870666 376996518 379473356 386221284 394168224 420100344 440678736 443439252 465160888 495763578 502662024 514961712 523305999 560133792 569210034 591252336 630150516 661018104 665158878 670216032 697741332 743645367 753993036 758946712 772442568 840200688 853815051 881357472 886878504 930321776 991527156 997738317 1005324048 1029923424 1046611998 1138420068 1182504672 1260301032 1322036208 1330317756 1395482664 1487290734 1507986072 1517893424 1544885136 1569917997 1680401376 1707630102 1773757008 1802498441 1860643552 1983054312 1995476634 2010648096 2093223996 2230936101 2276840136 2520602064 2561445153 2644072416 2660635512 2790965328 2974581468 2993214951 3015972144 3035786848 3089770272 3139835994 3415260204 3547514016 3604996882 3966108624 3990953268 4186447992 4461872202 4553680272 4709753991 5041204128 5122890306 5321271024 5407495323 5581930656 5949162936 5986429902 6031944288 6279671988 6830520408 7209993764 7684335459 7932217248 7981906536 8372895984 8923744404 9107360544 9419507982 10245780612 10642542048 10814990646 11898325872 11972859804 12559343976 13661040816 14129261973 14419987528 15368670918 15963813072 16222485969 16745791968 17847488808 18839015964 20491561224 21629981292 23053006377 23796651744 23945719608 25118687952 27322081632 28258523946 28839975056 30737341836 31927626144 32444971938 35694977616 37678031928 40983122448 42387785919 43259962584 46106012754 47891439216 48667457907 50237375904 56517047892 57679950112 61474683672 64889943876 69159019131 71389955232 75356063856 81966244896 84775571838 86519925168 92212025508 95782878432 97334915814 113034095784 122949367344 129779887752 138318038262 146002373721 150712127712 169551143676 173039850336 184424051016 194669831628 226068191568 245898734688 259559775504 276636076524 292004747442 339102287352 368848102032 389339663256 438007121163 452136383136 519119551008 553272153048 584009494884 678204574704 737696204064 778679326512 876014242326 1106544306096 1168018989768 1314021363489 1356409149408 1557358653024 1752028484652 2213088612192 2336037979536 2628042726978 3504056969304 4672075959072 5256085453956 7008113938608 10512170907912 14016227877216 21024341815824 42048683631648
- Sum of all divisors σ(n): 135191921356800
- Sum of proper divisors (its aliquot sum) s(n): 93143237725152
- 42048683631648 is an abundant number, because the sum of its proper divisors (93143237725152) is greater than itself. Its abundance is 51094554093504
Bases of 42048683631648
- Binary: 10011000111110001110001101100111100100001000002
- Hexadecimal: 0x263E38D9E420
- Base-36: EWKWCKI00
Squares and roots of 42048683631648
- 42048683631648 squared (420486836316482) is 1768091795154422438147195904
- 42048683631648 cubed (420486836316483) is 74345932526160891375439172116994430369792
-
The
square root of 42048683631648 is 6484495.6343302445 -
The
cube root of 42048683631648 is 34773.6918661499
Scales and comparisons
How big is 42048683631648?- 42,048,683,631,648 seconds is equal to 1,337,018 years, 3 weeks, 6 days, 1 hour, 40 minutes, 48 seconds.
-
To count from 1 to 42,048,683,631,648 would take you about three million, three hundred forty-two thousand, five hundred forty-five 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 42048683631648 cubic inches would be around 2897.8 feet tall.
Recreational maths with 42048683631648
- 42048683631648 backwards is 84613638684024
- The number of decimal digits it has is: 14
- The sum of 42048683631648's digits is 63
- More coming soon!
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The information we have on file for 42048683631648 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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