820213128
820,213,128 is an even composite number composed of six prime numbers multiplied together.
820213128 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 820213128:
23 × 34 × 7 × 19 × 31 × 307
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 19 × 31 × 307)See below for interesting mathematical facts about the number 820213128 from the Numbermatics database.
Names of 820213128
- Cardinal: 820213128 can be written as Eight hundred twenty million, two hundred thirteen thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 8.20213128 × 108
Factors of 820213128
Divisors of 820213128
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 31 36 38 42 54 56 57 62 63 72 76 81 84 93 108 114 124 126 133 152 162 168 171 186 189 216 217 228 248 252 266 279 307 324 342 372 378 399 434 456 504 513 532 558 567 589 614 648 651 684 744 756 798 837 868 921 1026 1064 1116 1134 1178 1197 1228 1302 1368 1512 1539 1596 1674 1736 1767 1842 1953 2052 2149 2232 2268 2356 2394 2456 2511 2604 2763 3078 3192 3348 3534 3591 3684 3906 4104 4123 4298 4536 4712 4788 5022 5208 5301 5526 5833 5859 6156 6447 6696 7068 7182 7368 7812 8246 8289 8596 9517 9576 10044 10602 10773 11052 11666 11718 12312 12369 12894 14136 14364 15624 15903 16492 16578 17192 17499 17577 19034 19341 20088 21204 21546 22104 23332 23436 24738 24867 25788 28551 28728 31806 32984 33156 34998 35154 37107 38068 38682 40831 42408 43092 46664 46872 47709 49476 49734 51576 52497 57102 58023 63612 66312 66619 69996 70308 74214 76136 77364 81662 85653 86184 95418 98952 99468 104994 111321 114204 116046 122493 127224 133238 139992 140616 148428 154728 157491 163324 171306 174069 180823 190836 198936 199857 209988 222642 228408 232092 244986 256959 266476 296856 314982 326648 333963 342612 348138 361646 367479 381672 399714 419976 445284 464184 472473 489972 513918 532952 542469 599571 629964 667926 685224 696276 723292 734958 770877 799428 890568 944946 979944 1027836 1084938 1102437 1199142 1259928 1265761 1335852 1392552 1446584 1469916 1541754 1598856 1627407 1798713 1889892 2055672 2169876 2204874 2398284 2531522 2671704 2939832 3083508 3254814 3307311 3597426 3779784 3797283 4339752 4409748 4796568 4882221 5063044 5396139 6167016 6509628 6614622 7194852 7594566 8819496 9764442 10126088 10792278 11391849 13019256 13229244 14389704 14646663 15189132 19528884 21584556 22783698 26458488 29293326 30378264 34175547 39057768 43169112 45567396 58586652 68351094 91134792 102526641 117173304 136702188 205053282 273404376 410106564 820213128
- Sum of all divisors σ(n): 2862182400
- Sum of proper divisors (its aliquot sum) s(n): 2041969272
- 820213128 is an abundant number, because the sum of its proper divisors (2041969272) is greater than itself. Its abundance is 1221756144
Bases of 820213128
- Binary: 1100001110001101110101100010002
- Hexadecimal: 0x30E37588
- Base-36: DKC0I0
Squares and roots of 820213128
- 820213128 squared (8202131282) is 672749575343544384
- 820213128 cubed (8202131283) is 551798033553200213807473152
-
The
square root of 820213128 is 28639.3632610783 -
The
cube root of 820213128 is 936.0712470421
Scales and comparisons
How big is 820213128?- 820,213,128 seconds is equal to 26 years, 4 weeks, 1 day, 4 hours, 58 minutes, 48 seconds.
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To count from 1 to 820,213,128 would take you about thirty-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 820213128 cubic inches would be around 78 feet tall.
Recreational maths with 820213128
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