42931761794064
42,931,761,794,064 is an even composite number composed of six prime numbers multiplied together.
What does the number 42931761794064 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2240 divisors.
42931761794064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 42931761794064:
24 × 36 × 11 × 133 × 173 × 31
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 13 × 13 × 17 × 17 × 17 × 31)See below for interesting mathematical facts about the number 42931761794064 from the Numbermatics database.
Names of 42931761794064
- Cardinal: 42931761794064 can be written as Forty-two trillion, nine hundred thirty-one billion, seven hundred sixty-one million, seven hundred ninety-four thousand and sixty-four.
Scientific notation
- Scientific notation: 4.2931761794064 × 1013
Factors of 42931761794064
Divisors of 42931761794064
- Number of divisors d(n): 2240
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 27 31 33 34 36 39 44 48 51 52 54 62 66 68 72 78 81 88 93 99 102 104 108 117 124 132 136 143 144 153 156 162 169 176 186 187 198 204 208 216 221 234 243 248 264 272 279 286 289 297 306 312 324 338 341 351 372 374 396 403 408 429 432 442 459 468 486 496 507 527 528 558 561 572 578 594 612 624 648 663 676 682 702 729 744 748 792 806 816 837 858 867 884 891 918 936 972 1014 1023 1053 1054 1116 1122 1144 1156 1188 1209 1224 1287 1296 1326 1352 1364 1377 1404 1458 1488 1496 1521 1581 1584 1612 1674 1683 1716 1734 1768 1782 1836 1859 1872 1944 1989 2028 2046 2106 2108 2197 2232 2244 2288 2312 2376 2418 2431 2448 2511 2574 2601 2652 2673 2704 2728 2754 2808 2873 2916 2992 3042 3069 3159 3162 3179 3224 3348 3366 3432 3468 3536 3564 3627 3672 3718 3757 3861 3888 3978 4056 4092 4131 4212 4216 4394 4433 4464 4488 4563 4624 4743 4752 4836 4862 4913 5022 5049 5148 5202 5239 5304 5346 5456 5508 5577 5616 5746 5797 5832 5967 6084 6138 6318 6324 6358 6448 6591 6696 6732 6851 6864 6936 7128 7254 7293 7344 7436 7514 7533 7722 7803 7956 8019 8112 8184 8262 8424 8432 8619 8788 8866 8959 8976 9126 9207 9477 9486 9537 9672 9724 9826 10044 10098 10296 10404 10478 10608 10692 10881 11016 11154 11271 11492 11583 11594 11664 11934 12168 12276 12393 12636 12648 12716 13182 13299 13392 13464 13689 13702 13872 14229 14256 14508 14586 14739 14872 15028 15066 15147 15444 15606 15717 15912 16038 16368 16524 16731 16848 17238 17391 17576 17732 17901 17918 18252 18414 18954 18972 19074 19344 19448 19652 19773 20088 20196 20553 20592 20808 20956 21384 21762 21879 22032 22308 22542 22599 22984 23166 23188 23409 23868 24167 24336 24552 24786 25272 25296 25432 25857 26364 26598 26877 26928 27378 27404 27621 28458 28611 29016 29172 29478 29744 30056 30132 30294 30888 31212 31434 31603 31824 32076 32643 33048 33462 33813 34476 34749 34782 35152 35464 35802 35836 36504 36828 37349 37908 37944 38148 38896 39304 39546 39897 40176 40392 41067 41106 41327 41616 41912 42687 42768 43524 43758 44217 44616 45084 45198 45441 45968 46332 46376 46818 47151 47736 48334 48841 49104 49572 50193 50544 50864 51714 52173 52728 53196 53703 53754 54043 54756 54808 55242 56916 57222 57629 58032 58344 58956 59319 60112 60264 60588 61659 61776 62424 62868 63206 63869 64152 65286 65637 66096 66924 67626 68107 68952 69498 69564 70227 70928 71604 71672 72501 73008 73656 74698 75361 75816 75888 76296 77571 78608 79092 79794 80631 80784 82134 82212 82654 82863 83824 85374 85833 87048 87516 88434 89063 89232 90168 90396 90882 92664 92752 93636 94302 94809 95472 96668 97682 97929 98549 99144 100386 101439 103428 104247 104346 105456 106392 107406 107508 108086 109512 109616 110484 112047 113832 114444 115258 116467 116688 117912 118638 119691 120528 121176 123201 123318 123981 124848 125736 126412 127738 128061 128304 130572 131274 132651 133848 135252 136214 136323 137904 138996 139128 140454 141453 143208 143344 145002 146523 147312 149396 150579 150722 151632 152303 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31474898676 31754261682 32376894264 33126359409 33358012272 35074968786 35510142096 36137846628 37138202244 37527763806 38263602312 38469320604 40732221816 40770903888 41966531568 42339015576 44168479212 45867266874 46766625048 48183795504 48565341396 49517602992 50037018408 51292427472 52612453179 53265213144 54206769942 57395403468 57703980906 58891305616 61156355832 62949797352 63508523364 64753788528 66252718818 68800900311 70149937572 72275693256 74276404488 75055527612 76527204624 76938641208 81310154913 81464443632 84678031152 86555971359 88336958424 91734533748 93533250096 97130682792 99379078227 100074036816 105224906358 106530426288 108413539884 114790806936 115407961812 122312711664 125899594704 127017046728 132505437636 137601800622 140299875144 144551386512 148552808976 150111055224 153877282416 157837359537 162620309826 173111942718 176673916848 183469067496 194261365584 198758156454 206402700933 210449812716 216827079768 229581613872 230815923624 243930464739 254034093456 265010875272 275203601244 280599750288 298137234681 300222110448 315674719074 325240619652 346223885436 366938134992 397516312908 412805401866 420899625432 433654159536 461631847248 487860929478 530021750544 550407202488 596274469362 631349438148 650481239304 692447770872 795032625816 825610803732 841799250864 894411704043 975721858956 1100814404976 1192548938724 1262698876296 1300962478608 1384895541744 1590065251632 1651221607464 1788823408086 1951443717912 2385097877448 2525397752592 2683235112129 3302443214928 3577646816172 3902887435824 4770195754896 5366470224258 7155293632344 10732940448516 14310587264688 21465880897032 42931761794064
- Sum of all divisors σ(n): 161644354099200
- Sum of proper divisors (its aliquot sum) s(n): 118712592305136
- 42931761794064 is an abundant number, because the sum of its proper divisors (118712592305136) is greater than itself. Its abundance is 75780830511072
Bases of 42931761794064
- Binary: 10011100001011110101000110100101001100000100002
- Hexadecimal: 0x270BD4694C10
- Base-36: F7UKUI900
Squares and roots of 42931761794064
- 42931761794064 squared (429317617940642) is 1843136170742253363945636096
- 42931761794064 cubed (429317617940643) is 79129083036329694306636741054572636934144
-
The
square root of 42931761794064 is 6552233.3439876819 -
The
cube root of 42931761794064 is 35015.4385751499
Scales and comparisons
How big is 42931761794064?- 42,931,761,794,064 seconds is equal to 1,365,097 years, 11 weeks, 6 days, 3 hours, 14 minutes, 24 seconds.
-
To count from 1 to 42,931,761,794,064 would take you about three million, four hundred twelve thousand, seven hundred forty-three 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 42931761794064 cubic inches would be around 2918 feet tall.
Recreational maths with 42931761794064
- 42931761794064 backwards is 46049716713924
- The number of decimal digits it has is: 14
- The sum of 42931761794064's digits is 63
- More coming soon!
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MLA style:
"Number 42931761794064 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 42931761794064 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/42931761794064/
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Numbermatics. 2024. "Number 42931761794064 - Facts about the integer". https://numbermatics.com/n/42931761794064/
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