42038921586816
42,038,921,586,816 is an even composite number composed of seven prime numbers multiplied together.
42038921586816 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 42038921586816:
27 × 38 × 7 × 11 × 31 × 67 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 31 × 67 × 313)See below for interesting mathematical facts about the number 42038921586816 from the Numbermatics database.
Names of 42038921586816
- Cardinal: 42038921586816 can be written as Forty-two trillion, thirty-eight billion, nine hundred twenty-one million, five hundred eighty-six thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 4.2038921586816 × 1013
Factors of 42038921586816
Divisors of 42038921586816
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 31 32 33 36 42 44 48 54 56 62 63 64 66 67 72 77 81 84 88 93 96 99 108 112 124 126 128 132 134 144 154 162 168 176 186 189 192 198 201 216 217 224 231 243 248 252 264 268 279 288 297 308 313 324 336 341 352 372 378 384 396 402 432 434 448 462 469 486 496 504 528 536 558 567 576 594 603 616 626 648 651 672 682 693 704 729 737 744 756 792 804 837 864 868 891 896 924 938 939 972 992 1008 1023 1056 1072 1116 1134 1152 1188 1206 1232 1252 1296 1302 1344 1364 1386 1407 1408 1458 1474 1488 1512 1584 1608 1674 1701 1728 1736 1782 1809 1848 1876 1878 1944 1953 1984 2016 2046 2077 2079 2112 2144 2187 2191 2211 2232 2268 2376 2387 2412 2464 2504 2511 2592 2604 2673 2688 2728 2772 2814 2817 2916 2948 2976 3024 3069 3168 3216 3348 3402 3443 3456 3472 3564 3618 3696 3752 3756 3888 3906 3968 4032 4092 4154 4158 4221 4224 4288 4374 4382 4422 4464 4536 4752 4774 4824 4928 5008 5022 5103 5159 5184 5208 5346 5427 5456 5544 5628 5634 5832 5859 5896 5952 6048 6138 6231 6237 6336 6432 6561 6573 6633 6696 6804 6886 6944 7128 7161 7236 7392 7504 7512 7533 7776 7812 8019 8064 8184 8308 8316 8442 8451 8576 8748 8764 8844 8928 9072 9207 9504 9548 9648 9703 9856 10016 10044 10206 10318 10329 10368 10416 10692 10854 10912 11088 11256 11268 11664 11718 11792 11904 12096 12276 12462 12474 12663 12672 12864 13122 13146 13266 13392 13608 13772 13888 14256 14322 14472 14539 14784 15008 15024 15066 15309 15477 15552 15624 16038 16281 16368 16616 16632 16884 16902 17496 17528 17577 17688 17856 18144 18414 18693 18711 19008 19096 19296 19406 19719 19899 20032 20088 20412 20636 20658 20832 20971 21384 21483 21708 21824 22176 22512 22536 22599 22847 23328 23436 23584 24057 24101 24192 24552 24924 24948 25326 25353 25728 26244 26292 26532 26784 27216 27544 27621 27776 28512 28644 28944 29078 29109 29568 30016 30048 30132 30618 30954 30987 31104 31248 32076 32562 32736 33232 33264 33768 33804 34992 35056 35154 35376 35712 36288 36828 37386 37422 37989 38016 38192 38592 38812 39438 39798 40064 40176 40824 41272 41316 41664 41942 42768 42966 43416 43617 43648 44352 45024 45072 45198 45694 45927 46431 46656 46872 47168 48114 48202 48843 49104 49848 49896 50652 50706 52488 52584 52731 53064 53568 54432 55088 55242 56079 56133 57024 57288 57888 58156 58218 59157 59697 60032 60096 60264 61236 61908 61974 62496 62913 64152 64449 65124 65472 66464 66528 67536 67608 67797 67921 68541 69984 70112 70308 70752 72171 72303 72576 73656 74772 74844 75978 76059 76384 77184 77624 78876 79596 80352 81648 82544 82632 82863 83328 83884 85536 85932 86832 87234 87327 88704 90048 90144 90396 91388 91854 92862 92961 93312 93744 94336 96228 96404 97686 98208 99696 99792 101304 101412 104976 105168 105462 106128 106733 107136 108864 110176 110484 112158 112266 113967 114048 114576 115776 116312 116436 118314 119394 120192 120528 122472 123816 123948 124992 125826 128304 128898 130248 130851 130944 132928 133056 135072 135216 135594 135842 137082 139293 139968 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2335495643712 2627432599176 3002780113344 3503243465568 3821720144256 4670991287424 5254865198352 6005560226688 7006486931136 10509730396704 14012973862272 21019460793408 42038921586816
- Sum of all divisors σ(n): 164603545067520
- Sum of proper divisors (its aliquot sum) s(n): 122564623480704
- 42038921586816 is an abundant number, because the sum of its proper divisors (122564623480704) is greater than itself. Its abundance is 80525701893888
Bases of 42038921586816
- Binary: 10011000111011111100101111110011101000100000002
- Hexadecimal: 0x263BF2FCE880
- Base-36: EWGEWI000
Squares and roots of 42038921586816
- 42038921586816 squared (420389215868162) is 1767270928182464275425017856
- 42038921586816 cubed (420389215868163) is 74294163972522146252235523319780654186496
-
The
square root of 42038921586816 is 6483742.8686535679 -
The
cube root of 42038921586816 is 34771.0006315861
Scales and comparisons
How big is 42038921586816?- 42,038,921,586,816 seconds is equal to 1,336,707 years, 34 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 42,038,921,586,816 would take you about three million, three hundred forty-one thousand, seven 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 42038921586816 cubic inches would be around 2897.6 feet tall.
Recreational maths with 42038921586816
- 42038921586816 backwards is 61868512983024
- 42038921586816 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42038921586816's digits is 63
- More coming soon!
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The information we have on file for 42038921586816 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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