213006020198400
213,006,020,198,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 213006020198400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
213006020198400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 213006020198400:
214 × 33 × 52 × 11 × 13 × 3672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 13 × 367 × 367)See below for interesting mathematical facts about the number 213006020198400 from the Numbermatics database.
Names of 213006020198400
- Cardinal: 213006020198400 can be written as Two hundred thirteen trillion, six billion, twenty million, one hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.130060201984 × 1014
Factors of 213006020198400
Divisors of 213006020198400
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 32 33 36 39 40 44 45 48 50 52 54 55 60 64 65 66 72 75 78 80 88 90 96 99 100 104 108 110 117 120 128 130 132 135 143 144 150 156 160 165 176 180 192 195 198 200 208 216 220 225 234 240 256 260 264 270 275 286 288 297 300 312 320 325 330 351 352 360 367 384 390 396 400 416 429 432 440 450 468 480 495 512 520 528 540 550 572 576 585 594 600 624 640 650 660 675 702 704 715 720 734 768 780 792 800 825 832 858 864 880 900 936 960 975 990 1024 1040 1056 1080 1100 1101 1144 1152 1170 1188 1200 1248 1280 1287 1300 1320 1350 1404 1408 1430 1440 1468 1485 1536 1560 1584 1600 1650 1664 1716 1728 1755 1760 1800 1835 1872 1920 1950 1980 2048 2080 2112 2145 2160 2200 2202 2288 2304 2340 2376 2400 2475 2496 2560 2574 2600 2640 2700 2808 2816 2860 2880 2925 2936 2970 3072 3120 3168 3200 3300 3303 3328 3432 3456 3510 3520 3575 3600 3670 3744 3840 3861 3900 3960 4037 4096 4160 4224 4290 4320 4400 4404 4576 4608 4680 4752 4771 4800 4950 4992 5120 5148 5200 5280 5400 5505 5616 5632 5720 5760 5850 5872 5940 6144 6240 6336 6400 6435 6600 6606 6656 6864 6912 7020 7040 7150 7200 7340 7425 7488 7680 7722 7800 7920 8074 8192 8320 8448 8580 8640 8775 8800 8808 9152 9175 9216 9360 9504 9542 9600 9900 9909 9984 10240 10296 10400 10560 10725 10800 11010 11232 11264 11440 11520 11700 11744 11880 12111 12288 12480 12672 12800 12870 13200 13212 13312 13728 13824 14040 14080 14300 14313 14400 14680 14850 14976 15360 15444 15600 15840 16148 16384 16515 16640 16896 17160 17280 17550 17600 17616 18304 18350 18432 18720 19008 19084 19200 19305 19800 19818 19968 20185 20480 20592 20800 21120 21450 21600 22020 22464 22528 22880 23040 23400 23488 23760 23855 24222 24576 24960 25344 25600 25740 26400 26424 26624 27456 27525 27648 28080 28160 28600 28626 28800 29360 29700 29952 30720 30888 31200 31680 32175 32296 33030 33280 33792 34320 34560 35100 35200 35232 36333 36608 36700 36864 37440 38016 38168 38400 38610 39600 39636 39936 40370 40960 41184 41600 42240 42900 42939 43200 44040 44928 45056 45760 46080 46800 46976 47520 47710 48444 49152 49545 49920 50688 51200 51480 52481 52800 52848 53248 54912 55050 55296 56160 56320 57200 57252 57600 58720 59400 59904 60555 61440 61776 62400 63360 64350 64592 66060 66560 67584 68640 69120 70200 70400 70464 71565 72666 73216 73400 73728 74880 76032 76336 76800 77220 79200 79272 79872 80740 81920 82368 82575 83200 84480 85800 85878 86400 88080 89856 90112 91520 92160 93600 93952 95040 95420 96525 96888 99090 99840 100925 101376 102400 102960 104962 105600 105696 106496 108999 109824 110100 110592 112320 112640 114400 114504 115200 117440 118800 119275 119808 121110 122880 123552 124800 126720 128700 128817 129184 132120 133120 134689 135168 137280 138240 140400 140800 140928 143130 145332 146432 146800 147456 149760 152064 152672 153600 154440 157443 158400 158544 159744 161480 164736 165150 166400 168960 171600 171756 172800 176160 179712 180224 181665 183040 184320 187200 187904 190080 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2931302400 2976399360 3022905600 3025653696 3034273792 3081684320 3103234560 3151722600 3200210640 3224432640 3297715200 3310116864 3361837440 3413558016 3448038400 3466894860 3517562880 3555789600 3585959936 3627486720 3698021184 3720499200 3723881472 3782067120 3792842240 3852105400 3869319168 3879043200 4000263300 4030540800 4034204928 4058726400 4137646080 4160273832 4202296800 4266947520 4299243520 4333618575 4396953600 4464599040 4482449920 4534358400 4551410688 4622526480 4654851840 4727583900 4741052800 4836648960 4930694912 4960665600 4965175296 5042756160 5120337024 5172057600 5200342290 5276344320 5333684400 5374054400 5378939904 5516861440 5547031776 5580748800 5603062400 5689263360 5778158100 5803978752 5818564800 5862604800 6045811200 6051307392 6068547584 6163368640 6206469120 6303445200 6400421280 6448865280 6595430400 6620233728 6723674880 6827116032 6896076800 6933789720 7111579200 7171919872 7254973440 7396042368 7440998400 7447762944 7564134240 7585684480 7704210800 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258189115392 266257525248 268946995200 273084641280 277351588800 290198937600 295841694720 297910517760 302565369600 303427379200 315564474368 322736394240 327701569536 332821906560 341355801600 355010033664 358595993600 364112855040 369802118400 372388147200 387283673088 394455592960 403420492800 409626961920 416027383200 430315192320 443762542080 455141068800 473346711552 484104591360 493069491200 496517529600 512033702400 532515050496 537893990400 546169282560 554703177600 580397875200 591683389440 605130739200 606854758400 645472788480 655403139072 665643813120 682711603200 710020067328 717191987200 739604236800 744776294400 774567346176 788911185920 806840985600 819253923840 832054766400 887525084160 910282137600 946693423104 968209182720 986138982400 1024067404800 1065030100992 1075787980800 1092338565120 1109406355200 1183366778880 1210261478400 1290945576960 1331287626240 1365423206400 1420040134656 1479208473600 1489552588800 1577822371840 1613681971200 1638507847680 1664109532800 1775050168320 1820564275200 1936418365440 1972277964800 2048134809600 2130060201984 2151575961600 2218812710400 2366733557760 2420522956800 2662575252480 2730846412800 2840080269312 2958416947200 3227363942400 3277015695360 3328219065600 3550100336640 3872836730880 3944555929600 4096269619200 4260120403968 4437625420800 4733467115520 4841045913600 5325150504960 5461692825600 5916833894400 6454727884800 6656438131200 7100200673280 7889111859200 8192539238400 8520240807936 8875250841600 9682091827200 10650301009920 11833667788800 13312876262400 14200401346560 16385078476800 17750501683200 19364183654400 21300602019840 23667335577600 26625752524800 35501003366400 42601204039680 53251505049600 71002006732800 106503010099200 213006020198400
- Sum of all divisors σ(n): 921901977622080
- Sum of proper divisors (its aliquot sum) s(n): 708895957423680
- 213006020198400 is an abundant number, because the sum of its proper divisors (708895957423680) is greater than itself. Its abundance is 495889937225280
Bases of 213006020198400
- Binary: 1100000110111010010101000010101101000000000000002
- Hexadecimal: 0xC1BA542B4000
- Base-36: 23I5M4RUO0
Squares and roots of 213006020198400
- 213006020198400 squared (2130060201984002) is 45371564640761188775362560000
- 213006020198400 cubed (2130060201984003) is 9664416414302989016235672815643131904000000
-
The
square root of 213006020198400 is 14594725.7664678305 -
The
cube root of 213006020198400 is 59721.4888405757
Scales and comparisons
How big is 213006020198400?- 213,006,020,198,400 seconds is equal to 6,772,932 years, 29 weeks, 5 days.
-
To count from 1 to 213,006,020,198,400 would take you about sixteen million, nine hundred thirty-two thousand, three hundred thirty-one 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 213006020198400 cubic inches would be around 4976.8 feet tall.
Recreational maths with 213006020198400
- 213006020198400 backwards is 004891020600312
- 213006020198400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 213006020198400's digits is 36
- More coming soon!
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"Number 213006020198400 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 213006020198400 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/213006020198400/
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Numbermatics. 2024. "Number 213006020198400 - Facts about the integer". https://numbermatics.com/n/213006020198400/
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