213872100
213,872,100 is an even composite number composed of seven prime numbers multiplied together.
213872100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 213872100:
22 × 3 × 52 × 13 × 29 × 31 × 61
(2 × 2 × 3 × 5 × 5 × 13 × 29 × 31 × 61)See below for interesting mathematical facts about the number 213872100 from the Numbermatics database.
Names of 213872100
- Cardinal: 213872100 can be written as Two hundred thirteen million, eight hundred seventy-two thousand, one hundred.
Scientific notation
- Scientific notation: 2.138721 × 108
Factors of 213872100
Divisors of 213872100
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 10 12 13 15 20 25 26 29 30 31 39 50 52 58 60 61 62 65 75 78 87 93 100 116 122 124 130 145 150 155 156 174 183 186 195 244 260 290 300 305 310 325 348 366 372 377 390 403 435 465 580 610 620 650 725 732 754 775 780 793 806 870 899 915 930 975 1131 1209 1220 1300 1450 1508 1525 1550 1586 1612 1740 1769 1798 1830 1860 1885 1891 1950 2015 2175 2262 2325 2379 2418 2697 2900 3050 3100 3172 3538 3596 3660 3770 3782 3900 3965 4030 4350 4495 4524 4575 4650 4758 4836 5307 5394 5655 5673 6045 6100 7076 7540 7564 7930 8060 8700 8845 8990 9150 9300 9425 9455 9516 10075 10614 10788 11310 11346 11687 11895 12090 13485 15860 17690 17980 18300 18850 18910 19825 20150 21228 22475 22620 22692 22997 23374 23790 24180 24583 26535 26970 28275 28365 30225 35061 35380 37700 37820 39650 40300 44225 44950 45994 46748 47275 47580 49166 53070 53940 54839 56550 56730 58435 59475 60450 67425 68991 70122 73749 79300 88450 89900 91988 94550 98332 106140 109678 113100 113460 114985 116870 118950 120900 122915 132675 134850 137982 140244 141825 147498 164517 175305 176900 189100 219356 229970 233740 237900 245830 265350 269700 274195 275964 283650 292175 294996 329034 344955 350610 368745 459940 491660 530700 548390 567300 574925 584350 614575 658068 689910 701220 712907 737490 822585 876525 1096780 1149850 1168700 1229150 1370975 1379820 1425814 1474980 1645170 1724775 1753050 1843725 2138721 2299700 2458300 2741950 2851628 3290340 3449550 3506100 3564535 3687450 4112925 4277442 5483900 6899100 7129070 7374900 8225850 8554884 10693605 14258140 16451700 17822675 21387210 35645350 42774420 53468025 71290700 106936050 213872100
- Sum of all divisors σ(n): 723287040
- Sum of proper divisors (its aliquot sum) s(n): 509414940
- 213872100 is an abundant number, because the sum of its proper divisors (509414940) is greater than itself. Its abundance is 295542840
Bases of 213872100
- Binary: 11001011111101101101111001002
- Hexadecimal: 0xCBF6DE4
- Base-36: 3JC0RO
Squares and roots of 213872100
- 213872100 squared (2138721002) is 45741275158410000
- 213872100 cubed (2138721003) is 9782782574806979361000000
-
The
square root of 213872100 is 14624.3666529529 -
The
cube root of 213872100 is 598.0232165869
Scales and comparisons
How big is 213872100?- 213,872,100 seconds is equal to 6 years, 41 weeks, 4 days, 8 hours, 55 minutes.
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To count from 1 to 213,872,100 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 213872100 cubic inches would be around 49.8 feet tall.
Recreational maths with 213872100
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