42814450723968
42,814,450,723,968 is an even composite number composed of eight prime numbers multiplied together.
42814450723968 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 42814450723968:
27 × 34 × 7 × 11 × 29 × 37 × 151 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 29 × 37 × 151 × 331)See below for interesting mathematical facts about the number 42814450723968 from the Numbermatics database.
Names of 42814450723968
- Cardinal: 42814450723968 can be written as Forty-two trillion, eight hundred fourteen billion, four hundred fifty million, seven hundred twenty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2814450723968 × 1013
Factors of 42814450723968
Divisors of 42814450723968
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 29 32 33 36 37 42 44 48 54 56 58 63 64 66 72 74 77 81 84 87 88 96 99 108 111 112 116 126 128 132 144 148 151 154 162 168 174 176 189 192 198 203 216 222 224 231 232 252 259 261 264 288 296 297 302 308 319 324 331 333 336 348 352 378 384 396 406 407 432 444 448 453 462 464 504 518 522 528 567 576 592 594 604 609 616 638 648 662 666 672 693 696 704 756 777 783 792 812 814 864 888 891 896 906 924 928 957 993 999 1008 1036 1044 1056 1057 1073 1134 1152 1184 1188 1208 1218 1221 1232 1276 1296 1324 1332 1344 1359 1386 1392 1408 1512 1554 1566 1584 1624 1628 1661 1728 1776 1782 1812 1827 1848 1856 1914 1986 1998 2016 2072 2079 2088 2112 2114 2146 2233 2268 2317 2331 2349 2368 2376 2416 2436 2442 2464 2552 2592 2648 2664 2688 2718 2772 2784 2849 2871 2979 2997 3024 3108 3132 3168 3171 3219 3248 3256 3322 3456 3552 3564 3624 3641 3654 3663 3696 3712 3828 3972 3996 4032 4077 4144 4158 4176 4224 4228 4292 4379 4466 4536 4634 4662 4698 4736 4752 4832 4872 4884 4928 4983 5104 5184 5296 5328 5436 5481 5544 5568 5587 5698 5742 5958 5994 6048 6216 6237 6264 6336 6342 6438 6496 6512 6644 6699 6951 6993 7104 7128 7248 7282 7308 7326 7392 7511 7656 7944 7992 8064 8154 8288 8316 8352 8456 8547 8584 8613 8758 8932 8937 9072 9268 9324 9396 9504 9513 9599 9657 9664 9744 9768 9856 9966 10208 10368 10592 10656 10872 10923 10962 10989 11088 11136 11174 11396 11484 11627 11803 11916 11988 12096 12231 12247 12432 12474 12528 12672 12684 12876 12992 13024 13137 13288 13398 13902 13986 14208 14256 14496 14564 14616 14652 14784 14949 15022 15312 15888 15984 16308 16443 16576 16632 16704 16761 16912 17094 17168 17226 17516 17864 17874 18144 18536 18648 18792 19008 19026 19198 19314 19328 19488 19536 19932 20097 20416 20853 20979 21184 21312 21744 21846 21924 21978 22176 22348 22533 22792 22968 23254 23606 23832 23976 24192 24462 24494 24864 24948 25056 25368 25487 25641 25752 25839 25984 26048 26274 26576 26796 26811 27804 27972 28512 28539 28797 28971 28992 29128 29232 29304 29568 29898 30044 30624 30653 31776 31968 32616 32769 32886 32967 33152 33264 33408 33522 33824 34188 34336 34452 34881 35032 35409 35728 35748 36288 36741 37072 37296 37584 38016 38052 38396 38628 38976 39072 39109 39411 39864 40194 40832 41706 41958 42368 42624 43488 43692 43848 43956 44352 44696 44847 45066 45584 45936 46508 47212 47664 47952 48169 48924 48988 49728 49896 49981 50112 50283 50736 50974 51282 51504 51678 52096 52548 53152 53592 53622 55608 55944 57024 57078 57594 57942 57984 58256 58464 58608 59796 60088 60291 61248 61306 61457 62559 63552 63936 65232 65538 65772 65934 66528 67044 67193 67599 67648 68376 68672 68904 69762 70064 70818 71456 71496 72576 73482 74144 74592 75168 76104 76461 76792 76923 77256 77952 78144 78218 78822 79728 80388 82621 83412 83916 85617 85729 86391 86913 86976 87384 87696 87912 88704 89392 89694 90132 91168 91872 91959 93016 94424 95328 95904 96338 97848 97976 98307 99456 99792 99962 100224 100566 101472 101948 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72078199872 72321707304 74330643618 75510495104 81087974856 82020020544 82653379776 84949306992 92272523112 92671971264 94513136256 95567970366 96428943072 99107524824 105195210624 105454312128 108117299808 111495965427 113265742656 121631962284 123030030816 127423960488 128571924096 129348793728 132143366432 134214579072 139007956896 141769704384 144156399744 144643414608 148661287236 162175949712 164040041088 165306759552 169898613984 184545046224 185343942528 191135940732 192857886144 198215049648 210908624256 216234599616 222991930854 226531485312 243263924568 246060061632 254847920976 264286732864 278015913792 283539408768 289286829216 297322574472 324351899424 334487896281 339797227968 369090092448 382271881464 385715772288 396430099296 432469199232 445983861708 486527849136 492120123264 509695841952 528573465728 556031827584 578573658432 594645148944 648703798848 668975792562 679594455936 738180184896 764543762928 792860198592 891967723416 973055698272 1019391683904 1157147316864 1189290297888 1297407597696 1337951585124 1476360369792 1529087525856 1585720397184 1783935446832 1946111396544 2038783367808 2378580595776 2675903170248 3058175051712 3567870893664 3892222793088 4757161191552 5351806340496 6116350103424 7135741787328 10703612680992 14271483574656 21407225361984 42814450723968
- Sum of all divisors σ(n): 170405381836800
- Sum of proper divisors (its aliquot sum) s(n): 127590931112832
- 42814450723968 is an abundant number, because the sum of its proper divisors (127590931112832) is greater than itself. Its abundance is 84776480388864
Bases of 42814450723968
- Binary: 10011011110000100001000010000001101100100000002
- Hexadecimal: 0x26F084206C80
- Base-36: F6COQIW00
Squares and roots of 42814450723968
- 42814450723968 squared (428144507239682) is 1833077190795083999329665024
- 42814450723968 cubed (428144507239683) is 78482193058525811800635349513495728095232
-
The
square root of 42814450723968 is 6543275.2291163789 -
The
cube root of 42814450723968 is 34983.5162444779
Scales and comparisons
How big is 42814450723968?- 42,814,450,723,968 seconds is equal to 1,361,367 years, 5 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 42,814,450,723,968 would take you about three million, four hundred three thousand, four hundred seventeen 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 42814450723968 cubic inches would be around 2915.3 feet tall.
Recreational maths with 42814450723968
- 42814450723968 backwards is 86932705441824
- 42814450723968 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42814450723968's digits is 63
- More coming soon!
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Cite this page
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"Number 42814450723968 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 42814450723968 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/42814450723968/
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The information we have on file for 42814450723968 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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