214048800
214,048,800 is an even composite number composed of six prime numbers multiplied together.
214048800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 214048800:
25 × 32 × 52 × 7 × 31 × 137
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 31 × 137)See below for interesting mathematical facts about the number 214048800 from the Numbermatics database.
Names of 214048800
- Cardinal: 214048800 can be written as Two hundred fourteen million, forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.140488 × 108
Factors of 214048800
Divisors of 214048800
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 31 32 35 36 40 42 45 48 50 56 60 62 63 70 72 75 80 84 90 93 96 100 105 112 120 124 126 137 140 144 150 155 160 168 175 180 186 200 210 217 224 225 240 248 252 274 279 280 288 300 310 315 336 350 360 372 400 411 420 434 450 465 480 496 504 525 548 558 560 600 620 630 651 672 685 700 720 744 775 800 822 840 868 900 930 959 992 1008 1050 1085 1096 1116 1120 1200 1233 1240 1260 1302 1370 1395 1400 1440 1488 1550 1575 1644 1680 1736 1800 1860 1918 1953 2016 2055 2100 2170 2192 2232 2325 2400 2466 2480 2520 2604 2740 2790 2800 2877 2976 3100 3150 3255 3288 3360 3425 3472 3600 3720 3836 3906 4110 4200 4247 4340 4384 4464 4650 4795 4932 4960 5040 5208 5425 5480 5580 5600 5754 6165 6200 6300 6510 6576 6850 6944 6975 7200 7440 7672 7812 8220 8400 8494 8631 8680 8928 9300 9590 9765 9864 10080 10275 10416 10850 10960 11160 11508 12330 12400 12600 12741 13020 13152 13700 13950 14385 14880 15344 15624 16275 16440 16800 16988 17262 17360 18600 19180 19530 19728 20550 20832 21235 21700 21920 22320 23016 23975 24660 24800 25200 25482 26040 27400 27900 28770 29729 30688 30825 31248 32550 32880 33976 34524 34720 37200 38223 38360 39060 39456 41100 42470 43155 43400 44640 46032 47950 48825 49320 50400 50964 52080 54800 55800 57540 59458 61650 62496 63705 65100 65760 67952 69048 71925 74400 76446 76720 78120 82200 84940 86310 86800 89187 92064 95900 97650 98640 101928 104160 106175 109600 111600 115080 118916 123300 127410 130200 135904 138096 143850 148645 152892 153440 156240 164400 169880 172620 173600 178374 191115 191800 195300 197280 203856 212350 215775 223200 230160 237832 246600 254820 260400 267561 276192 287700 297290 305784 312480 318525 328800 339760 345240 356748 382230 383600 390600 407712 424700 431550 445935 460320 475664 493200 509640 520800 535122 575400 594580 611568 637050 679520 690480 713496 743225 764460 767200 781200 849400 863100 891870 951328 955575 986400 1019280 1070244 1150800 1189160 1223136 1274100 1337805 1380960 1426992 1486450 1528920 1562400 1698800 1726200 1783740 1911150 2038560 2140488 2229675 2301600 2378320 2548200 2675610 2853984 2972900 3057840 3397600 3452400 3567480 3822300 4280976 4459350 4756640 5096400 5351220 5945800 6115680 6689025 6904800 7134960 7644600 8561952 8918700 10192800 10702440 11891600 13378050 14269920 15289200 17837400 21404880 23783200 26756100 30578400 35674800 42809760 53512200 71349600 107024400 214048800
- Sum of all divisors σ(n): 896942592
- Sum of proper divisors (its aliquot sum) s(n): 682893792
- 214048800 is an abundant number, because the sum of its proper divisors (682893792) is greater than itself. Its abundance is 468844992
Bases of 214048800
- Binary: 11001100001000100000001000002
- Hexadecimal: 0xCC22020
- Base-36: 3JFT40
Squares and roots of 214048800
- 214048800 squared (2140488002) is 45816888781440000
- 214048800 cubed (2140488003) is 9807050063400694272000000
-
The
square root of 214048800 is 14630.4066929119 -
The
cube root of 214048800 is 598.1878657927
Scales and comparisons
How big is 214048800?- 214,048,800 seconds is equal to 6 years, 41 weeks, 6 days, 10 hours.
-
To count from 1 to 214,048,800 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 214048800 cubic inches would be around 49.8 feet tall.
Recreational maths with 214048800
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