468009290631168
468,009,290,631,168 is an even composite number composed of six prime numbers multiplied together.
468009290631168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 468009290631168:
211 × 312 × 11 × 13 × 31 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 31 × 97)See below for interesting mathematical facts about the number 468009290631168 from the Numbermatics database.
Names of 468009290631168
- Cardinal: 468009290631168 can be written as Four hundred sixty-eight trillion, nine billion, two hundred ninety million, six hundred thirty-one thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 4.68009290631168 × 1014
Factors of 468009290631168
Divisors of 468009290631168
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 31 32 33 36 39 44 48 52 54 62 64 66 72 78 81 88 93 96 97 99 104 108 117 124 128 132 143 144 156 162 176 186 192 194 198 208 216 234 243 248 256 264 279 286 288 291 297 312 324 341 351 352 372 384 388 396 403 416 429 432 468 486 496 512 528 558 572 576 582 594 624 648 682 702 704 729 744 768 776 792 806 832 837 858 864 873 891 936 972 992 1023 1024 1053 1056 1067 1116 1144 1152 1164 1188 1209 1248 1261 1287 1296 1364 1404 1408 1458 1488 1536 1552 1584 1612 1664 1674 1716 1728 1746 1782 1872 1944 1984 2046 2048 2106 2112 2134 2187 2232 2288 2304 2328 2376 2418 2496 2511 2522 2574 2592 2619 2673 2728 2808 2816 2916 2976 3007 3069 3072 3104 3159 3168 3201 3224 3328 3348 3432 3456 3492 3564 3627 3744 3783 3861 3888 3968 4092 4212 4224 4268 4374 4433 4464 4576 4608 4656 4752 4836 4992 5022 5044 5148 5184 5238 5346 5456 5616 5632 5832 5952 6014 6138 6144 6208 6318 6336 6402 6448 6561 6656 6696 6864 6912 6984 7128 7254 7488 7533 7566 7722 7776 7857 7936 8019 8184 8424 8448 8536 8748 8866 8928 9021 9152 9207 9216 9312 9477 9504 9603 9672 9984 10044 10088 10296 10368 10476 10692 10881 10912 11232 11264 11349 11583 11664 11904 12028 12276 12416 12636 12672 12804 12896 13122 13299 13312 13392 13728 13824 13871 13968 14256 14508 14976 15066 15132 15444 15552 15714 15872 16038 16368 16848 16896 17072 17496 17732 17856 18042 18304 18414 18432 18624 18954 19008 19206 19344 19683 19968 20088 20176 20592 20736 20952 21384 21762 21824 22464 22528 22599 22698 23166 23328 23571 23808 24056 24057 24552 24832 25272 25344 25608 25792 26244 26598 26624 26784 27063 27456 27621 27648 27742 27936 28431 28512 28809 29016 29952 30132 30264 30888 31104 31428 31744 32076 32643 32736 33077 33696 33792 34047 34144 34749 34992 35464 35712 36084 36608 36828 37248 37908 38016 38412 38688 39091 39366 39897 39936 40176 40352 41184 41472 41613 41904 42768 43524 43648 44928 45198 45396 46332 46656 47142 47616 48112 48114 49104 49664 50544 50688 51216 51584 52488 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58501161328896 78001548438528 117002322657792 156003096877056 234004645315584 468009290631168
- Sum of all divisors σ(n): 1719829068572160
- Sum of proper divisors (its aliquot sum) s(n): 1251819777940992
- 468009290631168 is an abundant number, because the sum of its proper divisors (1251819777940992) is greater than itself. Its abundance is 783810487309824
Bases of 468009290631168
- Binary: 11010100110100110111001111000010100001000000000002
- Hexadecimal: 0x1A9A6E7850800
- Base-36: 4LW8I00000
Squares and roots of 468009290631168
- 468009290631168 squared (4680092906311682) is 219032696117089075499813044224
- 468009290631168 cubed (4680092906311683) is 102509336734791043834254775565078840456773632
-
The
square root of 468009290631168 is 21633522.3815070855 -
The
cube root of 468009290631168 is 77639.8745228963
Scales and comparisons
How big is 468009290631168?- 468,009,290,631,168 seconds is equal to 14,881,247 years, 41 weeks, 2 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 468,009,290,631,168 would take you about thirty-seven million, two hundred three thousand, one hundred nineteen 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 468009290631168 cubic inches would be around 6470 feet tall.
Recreational maths with 468009290631168
- 468009290631168 backwards is 861136092900864
- The number of decimal digits it has is: 15
- The sum of 468009290631168's digits is 63
- More coming soon!
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"Number 468009290631168 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 468009290631168 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/468009290631168/
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The information we have on file for 468009290631168 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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