213008640
213,008,640 is an even composite number composed of six prime numbers multiplied together.
213008640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 213008640:
28 × 3 × 5 × 13 × 17 × 251
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 17 × 251)See below for interesting mathematical facts about the number 213008640 from the Numbermatics database.
Names of 213008640
- Cardinal: 213008640 can be written as Two hundred thirteen million, eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 2.1300864 × 108
Factors of 213008640
Divisors of 213008640
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 32 34 39 40 48 51 52 60 64 65 68 78 80 85 96 102 104 120 128 130 136 156 160 170 192 195 204 208 221 240 251 255 256 260 272 312 320 340 384 390 408 416 442 480 502 510 520 544 624 640 663 680 753 768 780 816 832 884 960 1004 1020 1040 1088 1105 1248 1255 1280 1326 1360 1506 1560 1632 1664 1768 1920 2008 2040 2080 2176 2210 2496 2510 2652 2720 3012 3120 3263 3264 3315 3328 3536 3765 3840 4016 4080 4160 4267 4352 4420 4992 5020 5304 5440 6024 6240 6526 6528 6630 7072 7530 8032 8160 8320 8534 8840 9789 9984 10040 10608 10880 12048 12480 12801 13052 13056 13260 14144 15060 16064 16315 16320 16640 17068 17680 19578 20080 21216 21335 21760 24096 24960 25602 26104 26520 28288 30120 32128 32630 32640 34136 35360 39156 40160 42432 42670 48192 48945 49920 51204 52208 53040 55471 56576 60240 64005 64256 65260 65280 68272 70720 78312 80320 84864 85340 96384 97890 102408 104416 106080 110942 120480 128010 130520 136544 141440 156624 160640 166413 169728 170680 192768 195780 204816 208832 212160 221884 240960 256020 261040 273088 277355 282880 313248 321280 332826 341360 391560 409632 417664 424320 443768 481920 512040 522080 546176 554710 626496 665652 682720 783120 819264 832065 835328 848640 887536 963840 1024080 1044160 1092352 1109420 1252992 1331304 1365440 1566240 1638528 1664130 1775072 2048160 2088320 2218840 2505984 2662608 2730880 3132480 3277056 3328260 3550144 4096320 4176640 4437680 5325216 5461760 6264960 6656520 7100288 8192640 8875360 10650432 12529920 13313040 14200576 16385280 17750720 21300864 26626080 35501440 42601728 53252160 71002880 106504320 213008640
- Sum of all divisors σ(n): 778813056
- Sum of proper divisors (its aliquot sum) s(n): 565804416
- 213008640 is an abundant number, because the sum of its proper divisors (565804416) is greater than itself. Its abundance is 352795776
Bases of 213008640
- Binary: 11001011001001000001000000002
- Hexadecimal: 0xCB24100
- Base-36: 3ITIIO
Squares and roots of 213008640
- 213008640 squared (2130086402) is 45372680714649600
- 213008640 cubed (2130086403) is 9664773012181739372544000
-
The
square root of 213008640 is 14594.8155178475 -
The
cube root of 213008640 is 597.2173368155
Scales and comparisons
How big is 213008640?- 213,008,640 seconds is equal to 6 years, 40 weeks, 1 day, 9 hours, 4 minutes.
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To count from 1 to 213,008,640 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 213008640 cubic inches would be around 49.8 feet tall.
Recreational maths with 213008640
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