213424640
213,424,640 is an even composite number composed of five prime numbers multiplied together.
213424640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 213424640:
29 × 5 × 112 × 13 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 13 × 53)See below for interesting mathematical facts about the number 213424640 from the Numbermatics database.
Names of 213424640
- Cardinal: 213424640 can be written as Two hundred thirteen million, four hundred twenty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 2.1342464 × 108
Factors of 213424640
Divisors of 213424640
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 53 55 64 65 80 88 104 106 110 121 128 130 143 160 176 208 212 220 242 256 260 265 286 320 352 416 424 440 484 512 520 530 572 583 605 640 689 704 715 832 848 880 968 1040 1060 1144 1166 1210 1280 1378 1408 1430 1573 1664 1696 1760 1936 2080 2120 2288 2332 2420 2560 2756 2816 2860 2915 3146 3328 3392 3445 3520 3872 4160 4240 4576 4664 4840 5512 5632 5720 5830 6292 6413 6656 6784 6890 7040 7579 7744 7865 8320 8480 9152 9328 9680 11024 11440 11660 12584 12826 13568 13780 14080 15158 15488 15730 16640 16960 18304 18656 19360 22048 22880 23320 25168 25652 27136 27560 28160 30316 30976 31460 32065 33280 33920 36608 37312 37895 38720 44096 45760 46640 50336 51304 55120 60632 61952 62920 64130 67840 73216 74624 75790 77440 83369 88192 91520 93280 100672 102608 110240 121264 125840 128260 135680 149248 151580 154880 166738 176384 183040 186560 201344 205216 220480 242528 251680 256520 298496 303160 309760 333476 352768 366080 373120 402688 410432 416845 440960 485056 503360 513040 606320 666952 746240 805376 820864 833690 881920 970112 1006720 1026080 1212640 1333904 1492480 1641728 1667380 1763840 1940224 2013440 2052160 2425280 2667808 3283456 3334760 3880448 4026880 4104320 4850560 5335616 6669520 8208640 9701120 10671232 13339040 16417280 19402240 21342464 26678080 42684928 53356160 106712320 213424640
- Sum of all divisors σ(n): 617163624
- Sum of proper divisors (its aliquot sum) s(n): 403738984
- 213424640 is an abundant number, because the sum of its proper divisors (403738984) is greater than itself. Its abundance is 190314344
Bases of 213424640
- Binary: 11001011100010011010000000002
- Hexadecimal: 0xCB89A00
- Base-36: 3J2FI8
Squares and roots of 213424640
- 213424640 squared (2134246402) is 45550076959129600
- 213424640 cubed (2134246403) is 9721508776974529593344000
-
The
square root of 213424640 is 14609.0602024907 -
The
cube root of 213424640 is 597.6058669923
Scales and comparisons
How big is 213424640?- 213,424,640 seconds is equal to 6 years, 40 weeks, 6 days, 4 hours, 37 minutes, 20 seconds.
-
To count from 1 to 213,424,640 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 213424640 cubic inches would be around 49.8 feet tall.
Recreational maths with 213424640
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