213827328
213,827,328 is an even composite number composed of five prime numbers multiplied together.
213827328 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 213827328:
28 × 32 × 112 × 13 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 13 × 59)See below for interesting mathematical facts about the number 213827328 from the Numbermatics database.
Names of 213827328
- Cardinal: 213827328 can be written as Two hundred thirteen million, eight hundred twenty-seven thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 2.13827328 × 108
Factors of 213827328
Divisors of 213827328
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 59 64 66 72 78 88 96 99 104 117 118 121 128 132 143 144 156 176 177 192 198 208 234 236 242 256 264 286 288 312 352 354 363 384 396 416 429 468 472 484 528 531 572 576 624 649 704 708 726 767 768 792 832 858 936 944 968 1056 1062 1089 1144 1152 1248 1287 1298 1408 1416 1452 1534 1573 1584 1664 1716 1872 1888 1936 1947 2112 2124 2178 2288 2301 2304 2496 2574 2596 2816 2832 2904 3068 3146 3168 3328 3432 3744 3776 3872 3894 4224 4248 4356 4576 4602 4719 4992 5148 5192 5664 5808 5841 6136 6292 6336 6864 6903 7139 7488 7552 7744 7788 8437 8448 8496 8712 9152 9204 9438 9984 10296 10384 11328 11616 11682 12272 12584 12672 13728 13806 14157 14278 14976 15104 15488 15576 16874 16992 17424 18304 18408 18876 20592 20768 21417 22656 23232 23364 24544 25168 25311 25344 27456 27612 28314 28556 29952 30976 31152 33748 33984 34848 36608 36816 37752 41184 41536 42834 45312 46464 46728 49088 50336 50622 54912 55224 56628 57112 62304 64251 67496 67968 69696 73632 75504 75933 82368 83072 85668 92807 92928 93456 98176 100672 101244 109824 110448 113256 114224 124608 128502 134992 135936 139392 147264 151008 151866 164736 166144 171336 185614 186912 196352 201344 202488 220896 226512 228448 249216 257004 269984 278421 278784 294528 302016 303732 329472 342672 371228 373824 402688 404976 441792 453024 456896 498432 514008 539968 556842 589056 604032 607464 685344 742456 747648 809952 835263 883584 906048 913792 1028016 1079936 1113684 1208064 1214928 1370688 1484912 1495296 1619904 1670526 1767168 1812096 1827584 2056032 2159872 2227368 2429856 2741376 2969824 3239808 3341052 3624192 4112064 4454736 4859712 5482752 5939648 6479616 6682104 8224128 8909472 9719424 11879296 13364208 16448256 17818944 19438848 23758592 26728416 35637888 53456832 71275776 106913664 213827328
- Sum of all divisors σ(n): 742155960
- Sum of proper divisors (its aliquot sum) s(n): 528328632
- 213827328 is an abundant number, because the sum of its proper divisors (528328632) is greater than itself. Its abundance is 314501304
Bases of 213827328
- Binary: 11001011111010111111000000002
- Hexadecimal: 0xCBEBF00
- Base-36: 3JB280
Squares and roots of 213827328
- 213827328 squared (2138273282) is 45722126199619584
- 213827328 cubed (2138273283) is 9776640075743450263191552
-
The
square root of 213827328 is 14622.8358398773 -
The
cube root of 213827328 is 597.9814836009
Scales and comparisons
How big is 213827328?- 213,827,328 seconds is equal to 6 years, 41 weeks, 3 days, 20 hours, 28 minutes, 48 seconds.
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To count from 1 to 213,827,328 would take you about ten 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 213827328 cubic inches would be around 49.8 feet tall.
Recreational maths with 213827328
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