213820107200
213,820,107,200 is an even composite number composed of six prime numbers multiplied together.
213820107200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 213820107200:
26 × 52 × 7 × 232 × 151 × 239
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 23 × 23 × 151 × 239)See below for interesting mathematical facts about the number 213820107200 from the Numbermatics database.
Names of 213820107200
- Cardinal: 213820107200 can be written as Two hundred thirteen billion, eight hundred twenty million, one hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 2.138201072 × 1011
Factors of 213820107200
Divisors of 213820107200
- Number of divisors d(n): 504
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 56 64 70 80 92 100 112 115 140 151 160 161 175 184 200 224 230 239 280 302 320 322 350 368 400 448 460 478 529 560 575 604 644 700 736 755 800 805 920 956 1057 1058 1120 1150 1195 1208 1288 1400 1472 1510 1600 1610 1673 1840 1912 2114 2116 2240 2300 2390 2416 2576 2645 2800 3020 3220 3346 3473 3680 3703 3775 3824 4025 4228 4232 4600 4780 4832 5152 5285 5290 5497 5600 5975 6040 6440 6692 6946 7360 7406 7550 7648 8050 8365 8456 8464 9200 9560 9664 10304 10570 10580 10994 11200 11950 12080 12880 13225 13384 13892 14812 15100 15296 16100 16730 16912 16928 17365 18400 18515 19120 21140 21160 21988 23900 24160 24311 25760 26425 26450 26768 27485 27784 29624 30200 32200 33460 33824 33856 34730 36089 36800 37030 38240 38479 41825 42280 42320 43976 47800 48320 48622 51520 52850 52900 53536 54970 55568 59248 60400 64400 66920 67648 69460 72178 74060 76480 76958 79879 83650 84560 84640 86825 87952 92575 95600 97244 105700 105800 107072 109940 111136 118496 120800 121555 126431 128800 133840 137425 138920 144356 148120 153916 159758 167300 169120 169280 173650 175904 180445 185150 191200 192395 194488 211400 211600 219880 222272 236992 241600 243110 252623 252862 257600 267680 274850 277840 288712 296240 307832 319516 334600 338240 347300 351808 360890 370300 382400 384790 388976 399395 422800 423200 439760 486220 505246 505724 535360 549700 555680 559153 577424 592480 607775 615664 632155 639032 669200 694600 721780 740600 769580 777952 798790 830047 845600 846400 879520 885017 902225 961975 972440 1010492 1011448 1099400 1111360 1118306 1154848 1184960 1215550 1231328 1263115 1264310 1278064 1338400 1389200 1443560 1481200 1539160 1555904 1597580 1660094 1691200 1759040 1770034 1804450 1923950 1944880 1996975 2020984 2022896 2198800 2236612 2309696 2431100 2462656 2526230 2528620 2556128 2676800 2778400 2795765 2887120 2962400 3078320 3160775 3195160 3320188 3540068 3608900 3847900 3889760 3993950 4041968 4045792 4150235 4397600 4425085 4473224 4862200 5052460 5057240 5112256 5556800 5591530 5774240 5810329 5924800 6156640 6315575 6321550 6390320 6640376 7080136 7217800 7695800 7779520 7987900 8083936 8091584 8300470 8795200 8850170 8946448 9724400 10104920 10114480 11183060 11548480 11620658 12313280 12631150 12643100 12780640 13280752 13978825 14160272 14435600 15391600 15975800 16167872 16600940 17700340 17892896 19091081 19448800 20209840 20228960 20751175 22125425 22366120 23241316 25262300 25286200 25561280 26561504 27957650 28320544 28871200 29051645 30783200 31951600 33201880 35400680 35785792 38182162 38897600 40419680 40457920 41502350 44250850 44732240 46482632 50524600 50572400 53123008 55915300 56641088 57742400 58103290 61566400 63903200 66403760 70801360 76364324 80839360 83004700 88501700 89464480 92965264 95455405 101049200 101144800 111830600 116206580 127806400 132807520 133637567 141602720 145258225 152728648 166009400 177003400 178928960 185930528 190910810 202098400 202289600 223661200 232413160 265615040 267275134 283205440 290516450 305457296 332018800 354006800 371861056 381821620 404196800 447322400 464826320 477277025 534550268 581032900 610914592 664037600 668187835 708013600 763643240 894644800 929652640 954554050 1069100536 1162065800 1221829184 1328075200 1336375670 1416027200 1527286480 1859305280 1909108100 2138201072 2324131600 2672751340 3054572960 3340939175 3818216200 4276402144 4648263200 5345502680 6109145920 6681878350 7636432400 8552804288 9296526400 10691005360 13363756700 15272864800 21382010720 26727513400 30545729600 42764021440 53455026800 106910053600 213820107200
- Sum of all divisors σ(n): 635382666240
- Sum of proper divisors (its aliquot sum) s(n): 421562559040
- 213820107200 is an abundant number, because the sum of its proper divisors (421562559040) is greater than itself. Its abundance is 207742451840
Bases of 213820107200
- Binary: 110001110010001010101111101001110000002
- Hexadecimal: 0x31C8ABE9C0
- Base-36: 2Q86YYM8
Squares and roots of 213820107200
- 213820107200 squared (2138201072002) is 45719038243019491840000
- 213820107200 cubed (2138201072003) is 9775649658203327396918325248000000
-
The
square root of 213820107200 is 462406.8632708645 -
The
cube root of 213820107200 is 5979.7475238573
Scales and comparisons
How big is 213820107200?- 213,820,107,200 seconds is equal to 6,798 years, 42 weeks, 3 days, 18 hours, 13 minutes, 20 seconds.
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To count from 1 to 213,820,107,200 would take you about thirteen thousand, five hundred ninety-seven 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 213820107200 cubic inches would be around 498.3 feet tall.
Recreational maths with 213820107200
- 213820107200 backwards is 002701028312
- The number of decimal digits it has is: 12
- The sum of 213820107200's digits is 26
- More coming soon!
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