213213728
213,213,728 is an even composite number composed of six prime numbers multiplied together.
213213728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 213213728:
25 × 7 × 13 × 17 × 59 × 73
(2 × 2 × 2 × 2 × 2 × 7 × 13 × 17 × 59 × 73)See below for interesting mathematical facts about the number 213213728 from the Numbermatics database.
Names of 213213728
- Cardinal: 213213728 can be written as Two hundred thirteen million, two hundred thirteen thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 2.13213728 × 108
Factors of 213213728
Divisors of 213213728
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 59 68 73 91 104 112 118 119 136 146 182 208 221 224 236 238 272 292 364 413 416 442 472 476 511 544 584 728 767 826 884 944 949 952 1003 1022 1168 1241 1456 1534 1547 1652 1768 1888 1898 1904 2006 2044 2336 2482 2912 3068 3094 3304 3536 3796 3808 4012 4088 4307 4964 5369 6136 6188 6608 6643 7021 7072 7592 8024 8176 8614 8687 9928 10738 12272 12376 13039 13216 13286 14042 15184 16048 16133 16352 17228 17374 19856 21476 24544 24752 26078 26572 28084 30149 30368 32096 32266 34456 34748 39712 42952 49504 52156 53144 55991 56168 60298 64532 68912 69496 73219 85904 91273 104312 106288 111982 112336 112931 120596 129064 137824 138992 146438 171808 182546 208624 212576 223964 224672 225862 241192 258128 277984 292876 365092 391937 417248 447928 451724 482384 512533 516256 585752 730184 783874 895856 903448 951847 964768 1025066 1171504 1460368 1567748 1791712 1806896 1903694 2050132 2343008 2920736 3135496 3613792 3807388 4100264 6270992 6662929 7614776 8200528 12541984 13325858 15229552 16401056 26651716 30459104 53303432 106606864 213213728
- Sum of all divisors σ(n): 563915520
- Sum of proper divisors (its aliquot sum) s(n): 350701792
- 213213728 is an abundant number, because the sum of its proper divisors (350701792) is greater than itself. Its abundance is 137488064
Bases of 213213728
- Binary: 11001011010101100010001000002
- Hexadecimal: 0xCB56220
- Base-36: 3IXWRK
Squares and roots of 213213728
- 213213728 squared (2132137282) is 45460093807657984
- 213213728 cubed (2132137283) is 9692716075960473717604352
-
The
square root of 213213728 is 14601.8398840695 -
The
cube root of 213213728 is 597.4089453515
Scales and comparisons
How big is 213213728?- 213,213,728 seconds is equal to 6 years, 40 weeks, 3 days, 18 hours, 2 minutes, 8 seconds.
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To count from 1 to 213,213,728 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 213213728 cubic inches would be around 49.8 feet tall.
Recreational maths with 213213728
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