214172467200
214,172,467,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 214172467200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 768 divisors.
214172467200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 214172467200:
215 × 33 × 52 × 23 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 23 × 421)See below for interesting mathematical facts about the number 214172467200 from the Numbermatics database.
Names of 214172467200
- Cardinal: 214172467200 can be written as Two hundred fourteen billion, one hundred seventy-two million, four hundred sixty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 2.141724672 × 1011
Factors of 214172467200
Divisors of 214172467200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 32 36 40 45 46 48 50 54 60 64 69 72 75 80 90 92 96 100 108 115 120 128 135 138 144 150 160 180 184 192 200 207 216 225 230 240 256 270 276 288 300 320 345 360 368 384 400 414 421 432 450 460 480 512 540 552 575 576 600 621 640 675 690 720 736 768 800 828 842 864 900 920 960 1024 1035 1080 1104 1150 1152 1200 1242 1263 1280 1350 1380 1440 1472 1536 1600 1656 1684 1725 1728 1800 1840 1920 2048 2070 2105 2160 2208 2300 2304 2400 2484 2526 2560 2700 2760 2880 2944 3072 3105 3200 3312 3368 3450 3456 3600 3680 3789 3840 4096 4140 4210 4320 4416 4600 4608 4800 4968 5052 5120 5175 5400 5520 5760 5888 6144 6210 6315 6400 6624 6736 6900 6912 7200 7360 7578 7680 8192 8280 8420 8640 8832 9200 9216 9600 9683 9936 10104 10240 10350 10525 10800 11040 11367 11520 11776 12288 12420 12630 12800 13248 13472 13800 13824 14400 14720 15156 15360 15525 16384 16560 16840 17280 17664 18400 18432 18945 19200 19366 19872 20208 20480 20700 21050 21600 22080 22734 23040 23552 24576 24840 25260 25600 26496 26944 27600 27648 28800 29049 29440 30312 30720 31050 31575 32768 33120 33680 34560 35328 36800 36864 37890 38400 38732 39744 40416 40960 41400 42100 43200 44160 45468 46080 47104 48415 49152 49680 50520 51200 52992 53888 55200 55296 56835 57600 58098 58880 60624 61440 62100 63150 66240 67360 69120 70656 73600 73728 75780 76800 77464 79488 80832 81920 82800 84200 86400 87147 88320 90936 92160 94208 94725 96830 98304 99360 101040 102400 105984 107776 110400 110592 113670 115200 116196 117760 121248 122880 124200 126300 132480 134720 138240 141312 145245 147200 147456 151560 153600 154928 158976 161664 163840 165600 168400 172800 174294 176640 181872 184320 188416 189450 193660 198720 202080 204800 211968 215552 220800 221184 227340 230400 232392 235520 242075 242496 245760 248400 252600 261441 264960 269440 276480 282624 284175 290490 294400 294912 303120 307200 309856 317952 323328 331200 336800 345600 348588 353280 363744 368640 376832 378900 387320 397440 404160 409600 423936 431104 435735 441600 442368 454680 460800 464784 471040 484150 484992 491520 496800 505200 522882 529920 538880 552960 565248 568350 580980 588800 606240 614400 619712 635904 646656 662400 673600 691200 697176 706560 726225 727488 737280 753664 757800 774640 794880 808320 819200 847872 862208 871470 883200 884736 909360 921600 929568 942080 968300 969984 993600 1010400 1045764 1059840 1077760 1105920 1130496 1136700 1161960 1177600 1212480 1228800 1239424 1271808 1293312 1307205 1324800 1347200 1382400 1394352 1413120 1452450 1454976 1474560 1515600 1549280 1589760 1616640 1695744 1724416 1742940 1766400 1818720 1843200 1859136 1884160 1936600 1939968 1987200 2020800 2091528 2119680 2155520 2178675 2211840 2260992 2273400 2323920 2355200 2424960 2457600 2478848 2543616 2586624 2614410 2649600 2694400 2764800 2788704 2826240 2904900 2909952 3031200 3098560 3179520 3233280 3391488 3448832 3485880 3532800 3637440 3686400 3718272 3768320 3873200 3879936 3974400 4041600 4183056 4239360 4311040 4357350 4423680 4546800 4647840 4710400 4849920 4957696 5087232 5173248 5228820 5299200 5388800 5529600 5577408 5652480 5809800 5819904 6062400 6197120 6359040 6466560 6536025 6782976 6897664 6971760 7065600 7274880 7372800 7436544 7746400 7759872 7948800 8083200 8366112 8478720 8622080 8714700 9093600 9295680 9420800 9699840 9915392 10174464 10346496 10457640 10598400 10777600 11059200 11154816 11304960 11619600 11639808 12124800 12394240 12718080 12933120 13072050 13795328 13943520 14131200 14549760 14873088 15492800 15519744 15897600 16166400 16732224 16957440 17244160 17429400 18187200 18591360 18841600 19399680 19830784 20348928 20692992 20915280 21196800 21555200 22118400 22309632 23239200 23279616 24249600 24788480 25436160 25866240 26144100 27887040 28262400 29099520 29746176 30985600 31039488 31795200 32332800 33464448 33914880 34488320 34858800 36374400 37182720 38799360 39661568 41385984 41830560 42393600 43110400 44619264 46478400 46559232 48499200 49576960 50872320 51732480 52288200 55774080 56524800 58199040 59492352 61971200 62078976 63590400 64665600 66928896 68976640 69717600 72748800 74365440 77598720 79323136 83661120 84787200 86220800 89238528 92956800 93118464 96998400 99153920 101744640 103464960 104576400 111548160 116398080 118984704 123942400 124157952 127180800 129331200 133857792 139435200 145497600 148730880 155197440 158646272 167322240 169574400 172441600 178477056 185913600 186236928 193996800 198307840 206929920 209152800 223096320 232796160 237969408 247884800 254361600 258662400 267715584 278870400 290995200 297461760 310394880 317292544 334644480 344883200 356954112 371827200 372473856 387993600 396615680 418305600 446192640 465592320 475938816 495769600 508723200 517324800 535431168 557740800 581990400 594923520 620789760 669288960 713908224 743654400 775987200 793231360 836611200 892385280 931184640 951877632 991539200 1034649600 1070862336 1115481600 1163980800 1189847040 1338577920 1427816448 1487308800 1551974400 1586462720 1673222400 1784770560 1862369280 1983078400 2141724672 2230963200 2327961600 2379694080 2677155840 2855632896 2974617600 3103948800 3346444800 3569541120 3966156800 4283449344 4461926400 4655923200 4759388160 5354311680 5949235200 6692889600 7139082240 7932313600 8566898688 8923852800 9311846400 10708623360 11898470400 13385779200 14278164480 17847705600 21417246720 23796940800 26771558400 35695411200 42834493440 53543116800 71390822400 107086233600 214172467200
- Sum of all divisors σ(n): 823035715200
- Sum of proper divisors (its aliquot sum) s(n): 608863248000
- 214172467200 is an abundant number, because the sum of its proper divisors (608863248000) is greater than itself. Its abundance is 394690780800
Bases of 214172467200
- Binary: 110001110111011010110010000000000000002
- Hexadecimal: 0x31DDAC8000
- Base-36: 2QE0R9C0
Squares and roots of 214172467200
- 214172467200 squared (2141724672002) is 45869845706535075840000
- 214172467200 cubed (2141724672003) is 9824058025051944355991912448000000
-
The
square root of 214172467200 is 462787.7128878855 -
The
cube root of 214172467200 is 5983.0304509811
Scales and comparisons
How big is 214172467200?- 214,172,467,200 seconds is equal to 6,810 years, 1 week, 1 day.
-
To count from 1 to 214,172,467,200 would take you about thirteen thousand, six hundred twenty 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 214172467200 cubic inches would be around 498.6 feet tall.
Recreational maths with 214172467200
- 214172467200 backwards is 002764271412
- 214172467200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 214172467200's digits is 36
- More coming soon!
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The information we have on file for 214172467200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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