213864000
213,864,000 is an even composite number composed of six prime numbers multiplied together.
213864000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 213864000:
26 × 3 × 53 × 7 × 19 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 19 × 67)See below for interesting mathematical facts about the number 213864000 from the Numbermatics database.
Names of 213864000
- Cardinal: 213864000 can be written as Two hundred thirteen million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 2.13864 × 108
Factors of 213864000
Divisors of 213864000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 50 56 57 60 64 67 70 75 76 80 84 95 96 100 105 112 114 120 125 133 134 140 150 152 160 168 175 190 192 200 201 210 224 228 240 250 266 268 280 285 300 304 320 335 336 350 375 380 399 400 402 420 448 456 469 475 480 500 525 532 536 560 570 600 608 665 670 672 700 750 760 798 800 804 840 875 912 938 950 960 1000 1005 1050 1064 1072 1120 1140 1200 1216 1273 1330 1340 1344 1400 1407 1425 1500 1520 1596 1600 1608 1675 1680 1750 1824 1876 1900 1995 2000 2010 2100 2128 2144 2240 2280 2345 2375 2400 2546 2625 2660 2680 2800 2814 2850 3000 3040 3192 3216 3325 3350 3360 3500 3648 3752 3800 3819 3990 4000 4020 4200 4256 4288 4560 4690 4750 4800 5025 5092 5250 5320 5360 5600 5628 5700 6000 6080 6365 6384 6432 6650 6700 6720 7000 7035 7125 7504 7600 7638 7980 8000 8040 8375 8400 8512 8911 9120 9380 9500 9975 10050 10184 10500 10640 10720 11200 11256 11400 11725 12000 12730 12768 12864 13300 13400 14000 14070 14250 15008 15200 15276 15960 16080 16625 16750 16800 17822 18240 18760 19000 19095 19950 20100 20368 21000 21280 21440 22512 22800 23450 24000 25125 25460 25536 26600 26733 26800 28000 28140 28500 30016 30400 30552 31825 31920 32160 33250 33500 33600 35175 35644 37520 38000 38190 39900 40200 40736 42000 42560 44555 45024 45600 46900 49875 50250 50920 53200 53466 53600 56000 56280 57000 58625 61104 63650 63840 64320 66500 67000 70350 71288 75040 76000 76380 79800 80400 81472 84000 89110 90048 91200 93800 95475 99750 100500 101840 106400 106932 107200 112560 114000 117250 122208 127300 127680 133000 133665 134000 140700 142576 150080 152000 152760 159125 159600 160800 168000 175875 178220 187600 190950 199500 201000 203680 212800 213864 222775 225120 228000 234500 244416 254600 266000 267330 268000 281400 285152 305520 318250 319200 321600 351750 356440 375200 381900 399000 402000 407360 427728 445550 450240 456000 469000 477375 509200 532000 534660 536000 562800 570304 611040 636500 638400 668325 703500 712880 750400 763800 798000 804000 855456 891100 938000 954750 1018400 1064000 1069320 1113875 1125600 1222080 1273000 1336650 1407000 1425760 1527600 1596000 1608000 1710912 1782200 1876000 1909500 2036800 2138640 2227750 2251200 2546000 2673300 2814000 2851520 3055200 3192000 3341625 3564400 3752000 3819000 4277280 4455500 5092000 5346600 5628000 6110400 6683250 7128800 7638000 8554560 8911000 10184000 10693200 11256000 13366500 14257600 15276000 17822000 21386400 26733000 30552000 35644000 42772800 53466000 71288000 106932000 213864000
- Sum of all divisors σ(n): 862218240
- Sum of proper divisors (its aliquot sum) s(n): 648354240
- 213864000 is an abundant number, because the sum of its proper divisors (648354240) is greater than itself. Its abundance is 434490240
Bases of 213864000
- Binary: 11001011111101001110010000002
- Hexadecimal: 0xCBF4E40
- Base-36: 3JBUIO
Squares and roots of 213864000
- 213864000 squared (2138640002) is 45737810496000000
- 213864000 cubed (2138640003) is 9781671103916544000000000
-
The
square root of 213864000 is 14624.0897152609 -
The
cube root of 213864000 is 598.0156668267
Scales and comparisons
How big is 213864000?- 213,864,000 seconds is equal to 6 years, 41 weeks, 4 days, 6 hours, 40 minutes.
-
To count from 1 to 213,864,000 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 213864000 cubic inches would be around 49.8 feet tall.
Recreational maths with 213864000
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