214000800
214,000,800 is an even composite number composed of five prime numbers multiplied together.
214000800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 214000800:
25 × 3 × 52 × 13 × 193
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 19 × 19 × 19)See below for interesting mathematical facts about the number 214000800 from the Numbermatics database.
Names of 214000800
- Cardinal: 214000800 can be written as Two hundred fourteen million, eight hundred.
Scientific notation
- Scientific notation: 2.140008 × 108
Factors of 214000800
Divisors of 214000800
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 32 38 39 40 48 50 52 57 60 65 75 76 78 80 95 96 100 104 114 120 130 150 152 156 160 190 195 200 208 228 240 247 260 285 300 304 312 325 361 380 390 400 416 456 475 480 494 520 570 600 608 624 650 722 741 760 780 800 912 950 975 988 1040 1083 1140 1200 1235 1248 1300 1425 1444 1482 1520 1560 1805 1824 1900 1950 1976 2080 2166 2280 2400 2470 2600 2850 2888 2964 3040 3120 3610 3705 3800 3900 3952 4332 4560 4693 4940 5200 5415 5700 5776 5928 6175 6240 6859 7220 7410 7600 7800 7904 8664 9025 9120 9386 9880 10400 10830 11400 11552 11856 12350 13718 14079 14440 14820 15200 15600 17328 18050 18525 18772 19760 20577 21660 22800 23465 23712 24700 27075 27436 28158 28880 29640 31200 34295 34656 36100 37050 37544 39520 41154 43320 45600 46930 49400 54150 54872 56316 57760 59280 68590 70395 72200 74100 75088 82308 86640 89167 93860 98800 102885 108300 109744 112632 117325 118560 137180 140790 144400 148200 150176 164616 171475 173280 178334 187720 197600 205770 216600 219488 225264 234650 267501 274360 281580 288800 296400 329232 342950 351975 356668 375440 411540 433200 445835 450528 469300 514425 535002 548720 563160 592800 658464 685900 703950 713336 750880 823080 866400 891670 938600 1028850 1070004 1097440 1126320 1337505 1371800 1407900 1426672 1646160 1783340 1877200 2057700 2140008 2229175 2252640 2675010 2743600 2815800 2853344 3292320 3566680 3754400 4115400 4280016 4458350 5350020 5487200 5631600 6687525 7133360 8230800 8560032 8916700 10700040 11263200 13375050 14266720 16461600 17833400 21400080 26750100 35666800 42800160 53500200 71333600 107000400 214000800
- Sum of all divisors σ(n): 791824320
- Sum of proper divisors (its aliquot sum) s(n): 577823520
- 214000800 is an abundant number, because the sum of its proper divisors (577823520) is greater than itself. Its abundance is 363822720
Bases of 214000800
- Binary: 11001100000101100100101000002
- Hexadecimal: 0xCC164A0
- Base-36: 3JES2O
Squares and roots of 214000800
- 214000800 squared (2140008002) is 45796342400640000
- 214000800 cubed (2140008003) is 9800453910810880512000000
-
The
square root of 214000800 is 14628.7661817395 -
The
cube root of 214000800 is 598.1431483201
Scales and comparisons
How big is 214000800?- 214,000,800 seconds is equal to 6 years, 41 weeks, 5 days, 20 hours, 40 minutes.
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To count from 1 to 214,000,800 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 214000800 cubic inches would be around 49.8 feet tall.
Recreational maths with 214000800
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