213431680
213,431,680 is an even composite number composed of six prime numbers multiplied together.
213431680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 213431680:
27 × 5 × 7 × 11 × 61 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 61 × 71)See below for interesting mathematical facts about the number 213431680 from the Numbermatics database.
Names of 213431680
- Cardinal: 213431680 can be written as Two hundred thirteen million, four hundred thirty-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 2.1343168 × 108
Factors of 213431680
Divisors of 213431680
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 61 64 70 71 77 80 88 110 112 122 128 140 142 154 160 176 220 224 244 280 284 305 308 320 352 355 385 427 440 448 488 497 560 568 610 616 640 671 704 710 770 781 854 880 896 976 994 1120 1136 1220 1232 1342 1408 1420 1540 1562 1708 1760 1952 1988 2135 2240 2272 2440 2464 2485 2684 2840 3080 3124 3355 3416 3520 3904 3905 3976 4270 4331 4480 4544 4697 4880 4928 4970 5368 5467 5680 6160 6248 6710 6832 7040 7808 7810 7952 8540 8662 9088 9394 9760 9856 9940 10736 10934 11360 12320 12496 13420 13664 15620 15904 17080 17324 18788 19520 19880 21472 21655 21868 22720 23485 24640 24992 26840 27328 27335 30317 31240 31808 34160 34648 37576 39040 39760 42944 43310 43736 45440 46970 47641 49280 49984 53680 54656 54670 60634 62480 63616 68320 69296 75152 79520 85888 86620 87472 93940 95282 99968 107360 109340 121268 124960 136640 138592 150304 151585 159040 173240 174944 187880 190564 214720 218680 238205 242536 249920 273280 277184 300608 303170 318080 333487 346480 349888 375760 381128 429440 437360 476410 485072 499840 554368 601216 606340 666974 692960 699776 751520 762256 874720 952820 970144 1212680 1333948 1385920 1503040 1524512 1667435 1749440 1905640 1940288 2425360 2667896 2771840 3006080 3049024 3334870 3498880 3811280 3880576 4850720 5335792 6098048 6669740 7622560 9701440 10671584 13339480 15245120 19402880 21343168 26678960 30490240 42686336 53357920 106715840 213431680
- Sum of all divisors σ(n): 655672320
- Sum of proper divisors (its aliquot sum) s(n): 442240640
- 213431680 is an abundant number, because the sum of its proper divisors (442240640) is greater than itself. Its abundance is 228808960
Bases of 213431680
- Binary: 11001011100010110101100000002
- Hexadecimal: 0xCB8B580
- Base-36: 3J2KXS
Squares and roots of 213431680
- 213431680 squared (2134316802) is 45553082027622400
- 213431680 cubed (2134316803) is 9722470826333255237632000
-
The
square root of 213431680 is 14609.3011468723 -
The
cube root of 213431680 is 597.6124377723
Scales and comparisons
How big is 213431680?- 213,431,680 seconds is equal to 6 years, 40 weeks, 6 days, 6 hours, 34 minutes, 40 seconds.
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To count from 1 to 213,431,680 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 213431680 cubic inches would be around 49.8 feet tall.
Recreational maths with 213431680
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