213127200
213,127,200 is an even composite number composed of six prime numbers multiplied together.
213127200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 213127200:
25 × 34 × 52 × 11 × 13 × 23
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 13 × 23)See below for interesting mathematical facts about the number 213127200 from the Numbermatics database.
Names of 213127200
- Cardinal: 213127200 can be written as Two hundred thirteen million, one hundred twenty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 2.131272 × 108
Factors of 213127200
Divisors of 213127200
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 23 24 25 26 27 30 32 33 36 39 40 44 45 46 48 50 52 54 55 60 65 66 69 72 75 78 80 81 88 90 92 96 99 100 104 108 110 115 117 120 130 132 135 138 143 144 150 156 160 162 165 176 180 184 195 198 200 207 208 216 220 225 230 234 240 253 260 264 270 275 276 286 288 297 299 300 312 324 325 330 345 351 352 360 368 390 396 400 405 414 416 429 432 440 450 460 468 480 495 506 520 528 540 550 552 572 575 585 594 598 600 621 624 648 650 660 675 690 702 715 720 736 759 780 792 800 810 825 828 858 864 880 891 897 900 920 936 975 990 1012 1035 1040 1053 1056 1080 1100 1104 1144 1150 1170 1188 1196 1200 1242 1248 1265 1287 1296 1300 1320 1350 1380 1404 1430 1440 1485 1495 1518 1560 1584 1620 1650 1656 1716 1725 1755 1760 1782 1794 1800 1840 1863 1872 1950 1980 2024 2025 2070 2080 2106 2145 2160 2200 2208 2277 2288 2300 2340 2376 2392 2400 2475 2484 2530 2574 2592 2600 2640 2691 2700 2760 2808 2860 2925 2970 2990 3036 3105 3120 3168 3240 3289 3300 3312 3432 3450 3510 3564 3575 3588 3600 3680 3726 3744 3795 3861 3900 3960 4048 4050 4140 4212 4290 4320 4400 4455 4485 4554 4576 4600 4680 4752 4784 4950 4968 5060 5148 5175 5200 5265 5280 5382 5400 5520 5616 5720 5850 5940 5980 6072 6210 6240 6325 6435 6480 6578 6600 6624 6831 6864 6900 7020 7128 7150 7176 7200 7425 7452 7475 7590 7722 7800 7920 8073 8096 8100 8280 8424 8580 8775 8800 8910 8970 9108 9200 9315 9360 9504 9568 9867 9900 9936 10120 10296 10350 10400 10530 10725 10764 10800 11040 11232 11385 11440 11583 11700 11880 11960 12144 12420 12650 12870 12960 13156 13200 13455 13662 13728 13800 14040 14256 14300 14352 14850 14904 14950 15180 15444 15525 15600 15840 16146 16200 16445 16560 16848 17160 17550 17820 17940 18216 18400 18630 18720 18975 19305 19734 19800 19872 20240 20493 20592 20700 21060 21450 21528 21600 22275 22425 22770 22880 23166 23400 23760 23920 24219 24288 24840 25300 25740 26312 26325 26400 26910 27324 27600 28080 28512 28600 28704 29601 29700 29808 29900 30360 30888 31050 31200 32175 32292 32400 32890 33120 33696 34155 34320 35100 35640 35880 36432 37260 37950 38610 39468 39600 40365 40480 40986 41184 41400 42120 42900 43056 44550 44850 45540 46332 46575 46800 47520 47840 48438 49335 49680 50600 51480 52624 52650 53820 54648 55200 56160 56925 57200 57915 59202 59400 59616 59800 60720 61776 62100 64350 64584 64800 65780 67275 68310 68640 70200 71280 71760 72864 74520 75900 77220 78936 79200 80730 81972 82225 82800 84240 85800 86112 88803 89100 89700 91080 92664 93150 93600 96525 96876 98670 99360 101200 102465 102960 105248 105300 107640 109296 113850 114400 115830 118404 118800 119600 121095 121440 123552 124200 128700 129168 131560 134550 136620 140400 142560 143520 148005 149040 151800 154440 157872 161460 163944 164450 165600 168480 170775 171600 177606 178200 179400 182160 185328 186300 193050 193752 197340 201825 202400 204930 205920 210600 215280 218592 227700 231660 236808 237600 239200 242190 246675 248400 257400 258336 263120 266409 269100 273240 280800 289575 296010 298080 303600 308880 315744 322920 327888 328900 341550 343200 355212 356400 358800 364320 370656 372600 386100 387504 394680 403650 409860 421200 430560 444015 455400 463320 473616 484380 493350 496800 512325 514800 526240 532818 538200 546480 579150 592020 605475 607200 617760 645840 655776 657800 683100 710424 712800 717600 740025 745200 772200 775008 789360 807300 819720 842400 888030 910800 926640 947232 968760 986700 1024650 1029600 1065636 1076400 1092960 1158300 1184040 1210950 1291680 1315600 1332045 1366200 1420848 1480050 1490400 1544400 1578720 1614600 1639440 1776060 1821600 1853280 1937520 1973400 2049300 2131272 2152800 2220075 2316600 2368080 2421900 2631200 2664090 2732400 2841696 2960100 3088800 3229200 3278880 3552120 3875040 3946800 4098600 4262544 4440150 4633200 4736160 4843800 5328180 5464800 5920200 6458400 6660225 7104240 7893600 8197200 8525088 8880300 9266400 9687600 10656360 11840400 13320450 14208480 16394400 17760600 19375200 21312720 23680800 26640900 35521200 42625440 53281800 71042400 106563600 213127200
- Sum of all divisors σ(n): 952814016
- Sum of proper divisors (its aliquot sum) s(n): 739686816
- 213127200 is an abundant number, because the sum of its proper divisors (739686816) is greater than itself. Its abundance is 526559616
Bases of 213127200
- Binary: 11001011010000010000001000002
- Hexadecimal: 0xCB41020
- Base-36: 3IW200
Squares and roots of 213127200
- 213127200 squared (2131272002) is 45423203379840000
- 213127200 cubed (2131272003) is 9680920151375835648000000
-
The
square root of 213127200 is 14598.8766691139 -
The
cube root of 213127200 is 597.3281194185
Scales and comparisons
How big is 213127200?- 213,127,200 seconds is equal to 6 years, 40 weeks, 2 days, 18 hours.
-
To count from 1 to 213,127,200 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 213127200 cubic inches would be around 49.8 feet tall.
Recreational maths with 213127200
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