42029837753904
42,029,837,753,904 is an even composite number composed of six prime numbers multiplied together.
What does the number 42029837753904 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2560 divisors.
42029837753904 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 42029837753904:
24 × 33 × 73 × 113 × 133 × 97
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 11 × 11 × 11 × 13 × 13 × 13 × 97)See below for interesting mathematical facts about the number 42029837753904 from the Numbermatics database.
Names of 42029837753904
- Cardinal: 42029837753904 can be written as Forty-two trillion, twenty-nine billion, eight hundred thirty-seven million, seven hundred fifty-three thousand, nine hundred four.
Scientific notation
- Scientific notation: 4.2029837753904 × 1013
Factors of 42029837753904
Divisors of 42029837753904
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 33 36 39 42 44 48 49 52 54 56 63 66 72 77 78 84 88 91 97 98 99 104 108 112 117 121 126 132 143 144 147 154 156 168 169 176 182 189 194 196 198 208 216 231 234 242 252 264 273 286 291 294 297 308 312 336 338 343 351 363 364 378 388 392 396 429 432 441 462 468 484 504 507 528 539 546 572 582 588 594 616 624 637 676 679 686 693 702 726 728 756 776 784 792 819 847 858 873 882 924 936 968 1001 1008 1014 1029 1067 1078 1089 1092 1144 1164 1176 1183 1188 1232 1261 1274 1287 1323 1331 1352 1358 1372 1386 1404 1452 1456 1512 1521 1552 1573 1584 1617 1638 1694 1716 1746 1764 1848 1859 1872 1911 1936 2002 2028 2037 2058 2079 2134 2156 2178 2184 2197 2288 2328 2352 2366 2376 2457 2522 2541 2548 2574 2619 2646 2662 2704 2716 2744 2772 2808 2904 3003 3024 3042 3087 3146 3201 3234 3267 3276 3388 3432 3492 3528 3549 3696 3718 3773 3783 3822 3861 3993 4004 4056 4074 4116 4158 4268 4312 4356 4368 4394 4459 4563 4656 4719 4732 4752 4753 4851 4914 5044 5082 5096 5148 5238 5292 5324 5432 5488 5544 5577 5616 5733 5808 5929 6006 6084 6111 6174 6292 6402 6468 6534 6552 6591 6776 6864 6984 7007 7056 7098 7436 7469 7546 7566 7623 7644 7722 7986 8008 8112 8148 8232 8281 8316 8536 8624 8712 8788 8827 8918 9009 9126 9261 9317 9438 9464 9506 9603 9702 9828 10088 10164 10192 10296 10476 10584 10647 10648 10864 11011 11088 11154 11319 11349 11466 11737 11858 11979 12012 12168 12222 12348 12584 12804 12936 13013 13068 13104 13182 13377 13552 13871 13968 14014 14157 14196 14259 14553 14872 14938 15092 15132 15246 15288 15379 15444 15972 16016 16296 16393 16464 16562 16632 16731 17072 17199 17303 17424 17576 17654 17787 17836 18018 18252 18333 18522 18634 18876 18928 19012 19206 19404 19656 19773 20176 20328 20449 20592 20952 21021 21168 21294 21296 22022 22308 22407 22638 22698 22869 22932 23474 23716 23958 24024 24167 24336 24444 24696 24843 25168 25608 25872 26026 26136 26364 26481 26754 27027 27742 27951 28028 28314 28392 28518 28809 29106 29744 29876 30184 30264 30492 30576 30758 30888 31941 31944 32592 32786 33033 33124 33264 33271 33462 33957 34047 34398 34606 35152 35211 35308 35574 35672 35937 36036 36504 36666 37044 37268 37752 38024 38412 38808 39039 39312 39546 40131 40656 40898 41503 41613 41904 42042 42471 42588 42777 44044 44616 44814 45276 45396 45738 45864 46137 46948 47432 47916 48048 48334 48888 49049 49179 49392 49686 50193 51216 51909 52052 52272 52283 52728 52962 53361 53508 54054 55484 55902 56056 56628 56784 57036 57618 57967 58212 59319 59752 60368 60528 60984 61347 61516 61776 61789 63063 63882 63888 65219 65572 66066 66248 66542 66924 67221 67914 68094 68796 69212 70422 70616 71148 71344 71874 72072 72501 73008 73332 74088 74529 74536 75504 76048 76824 77077 77616 78078 79092 79443 80262 81796 82159 83006 83226 83853 84084 84942 85176 85554 88088 89232 89628 90552 90792 91091 91476 91728 92274 93896 94864 95832 96668 97097 97776 98098 98358 99099 99372 99813 100386 101871 103818 104104 104566 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70757302616 71479315908 72216216072 73478737332 76977724824 77977435536 79601965443 82899088272 83392535226 86838507756 89807345628 90973674792 95305754544 97291291097 97971649776 106135953924 107218973862 108324324108 111190046968 115466587236 115784677008 119743127504 122535970128 124348632408 125088802839 134711018442 136460512188 141514605232 142958631816 144432432144 146957474664 153955449648 159203930886 166785070452 173677015512 179614691256 181947349584 194582582194 202066527663 212271907848 214437947724 216648648216 222380093936 230933174472 238805896329 248697264816 250177605678 269422036884 272921024376 285917263632 291873873291 293914949328 318407861772 333570140904 347354031024 359229382512 375266408517 389165164388 404133055326 424543815696 428875895448 433297296432 461866348944 477611792658 500355211356 538844073768 545842048752 583747746582 636815723544 667140281808 750532817034 778330328776 808266110652 857751790896 875621619873 955223585316 1000710422712 1077688147536 1167495493164 1273631447088 1501065634068 1556660657552 1616532221304 1751243239746 1910447170632 2001420845424 2334990986328 2626864859619 3002131268136 3233064442608 3502486479492 3820894341264 4669981972656 5253729719238 6004262536272 7004972958984 10507459438476 14009945917968 21014918876952 42029837753904
- Sum of all divisors σ(n): 169365826560000
- Sum of proper divisors (its aliquot sum) s(n): 127335988806096
- 42029837753904 is an abundant number, because the sum of its proper divisors (127335988806096) is greater than itself. Its abundance is 85306151052192
Bases of 42029837753904
- Binary: 10011000111001110101011000110010011110001100002
- Hexadecimal: 0x2639D58C9E30
- Base-36: EWC8O7XO0
Squares and roots of 42029837753904
- 42029837753904 squared (420298377539042) is 1766507261619494035667241216
- 42029837753904 cubed (420298377539043) is 74246013596960580905549366013837613707264
-
The
square root of 42029837753904 is 6483042.3223903143 -
The
cube root of 42029837753904 is 34768.4959946067
Scales and comparisons
How big is 42029837753904?- 42,029,837,753,904 seconds is equal to 1,336,418 years, 43 weeks, 2 days, 11 hours, 38 minutes, 24 seconds.
-
To count from 1 to 42,029,837,753,904 would take you about three million, three hundred forty-one thousand and forty-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 42029837753904 cubic inches would be around 2897.4 feet tall.
Recreational maths with 42029837753904
- 42029837753904 backwards is 40935773892024
- 42029837753904 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42029837753904's digits is 63
- More coming soon!
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"Number 42029837753904 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 42029837753904 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/42029837753904/
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The information we have on file for 42029837753904 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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