213735132
213,735,132 is an even composite number composed of six prime numbers multiplied together.
213735132 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 213735132:
22 × 33 × 13 × 41 × 47 × 79
(2 × 2 × 3 × 3 × 3 × 13 × 41 × 47 × 79)See below for interesting mathematical facts about the number 213735132 from the Numbermatics database.
Names of 213735132
- Cardinal: 213735132 can be written as Two hundred thirteen million, seven hundred thirty-five thousand, one hundred thirty-two.
Scientific notation
- Scientific notation: 2.13735132 × 108
Factors of 213735132
Divisors of 213735132
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 9 12 13 18 26 27 36 39 41 47 52 54 78 79 82 94 108 117 123 141 156 158 164 188 234 237 246 282 316 351 369 423 468 474 492 533 564 611 702 711 738 846 948 1027 1066 1107 1222 1269 1404 1422 1476 1599 1692 1833 1927 2054 2132 2133 2214 2444 2538 2844 3081 3198 3239 3666 3713 3854 4108 4266 4428 4797 5076 5499 5781 6162 6396 6478 7332 7426 7708 8532 9243 9594 9717 10998 11139 11562 12324 12956 14391 14852 16497 17343 18486 19188 19434 21996 22278 23124 25051 27729 28782 29151 32994 33417 34686 36972 38868 42107 44556 48269 50102 52029 55458 57564 58302 65988 66834 69372 75153 84214 87453 96538 100204 100251 104058 110916 116604 126321 133668 144807 150306 152233 168428 174906 193076 200502 208116 225459 252642 289614 300612 304466 349812 378963 401004 434421 450918 456699 505284 579228 608932 676377 757926 868842 901836 913398 1136889 1303263 1352754 1370097 1515852 1737684 1826796 1979029 2273778 2606526 2705508 2740194 3958058 4110291 4547556 5213052 5480388 5937087 7916116 8220582 11874174 16441164 17811261 23748348 35622522 53433783 71245044 106867566 213735132
- Sum of all divisors σ(n): 632217600
- Sum of proper divisors (its aliquot sum) s(n): 418482468
- 213735132 is an abundant number, because the sum of its proper divisors (418482468) is greater than itself. Its abundance is 204747336
Bases of 213735132
- Binary: 11001011110101010110110111002
- Hexadecimal: 0xCBD56DC
- Base-36: 3J9330
Squares and roots of 213735132
- 213735132 squared (2137351322) is 45682706651057424
- 213735132 cubed (2137351323) is 9763999336181036458219968
-
The
square root of 213735132 is 14619.6830334997 -
The
cube root of 213735132 is 597.8955272875
Scales and comparisons
How big is 213735132?- 213,735,132 seconds is equal to 6 years, 41 weeks, 2 days, 18 hours, 52 minutes, 12 seconds.
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To count from 1 to 213,735,132 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 213735132 cubic inches would be around 49.8 feet tall.
Recreational maths with 213735132
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