216338164224000
216,338,164,224,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 216338164224000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2496 divisors.
216338164224000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 216338164224000:
212 × 3 × 53 × 72 × 13 × 127 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 127 × 1741)See below for interesting mathematical facts about the number 216338164224000 from the Numbermatics database.
Names of 216338164224000
- Cardinal: 216338164224000 can be written as Two hundred sixteen trillion, three hundred thirty-eight billion, one hundred sixty-four million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 2.16338164224 × 1014
Factors of 216338164224000
Divisors of 216338164224000
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 48 49 50 52 56 60 64 65 70 75 78 80 84 91 96 98 100 104 105 112 120 125 127 128 130 140 147 150 156 160 168 175 182 192 195 196 200 208 210 224 240 245 250 254 256 260 273 280 294 300 312 320 325 336 350 364 375 381 384 390 392 400 416 420 448 455 480 490 500 508 512 520 525 546 560 588 600 624 635 637 640 650 672 700 728 735 750 762 768 780 784 800 832 840 875 889 896 910 960 975 980 1000 1016 1024 1040 1050 1092 1120 1176 1200 1225 1248 1270 1274 1280 1300 1344 1365 1400 1456 1470 1500 1524 1536 1560 1568 1600 1625 1651 1664 1680 1741 1750 1778 1792 1820 1905 1911 1920 1950 1960 2000 2032 2048 2080 2100 2184 2240 2275 2352 2400 2450 2496 2540 2548 2560 2600 2625 2667 2688 2730 2800 2912 2940 3000 3048 3072 3120 3136 3175 3185 3200 3250 3302 3328 3360 3482 3500 3556 3584 3640 3675 3810 3822 3840 3900 3920 4000 4064 4096 4160 4200 4368 4445 4480 4550 4704 4800 4875 4900 4953 4992 5080 5096 5120 5200 5223 5250 5334 5376 5460 5600 5824 5880 6000 6096 6125 6144 6223 6240 6272 6350 6370 6400 6500 6604 6656 6720 6825 6964 7000 7112 7168 7280 7350 7620 7644 7680 7800 7840 8000 8128 8255 8320 8400 8705 8736 8890 8960 9100 9408 9525 9555 9600 9750 9800 9906 9984 10160 10192 10240 10400 10446 10500 10668 10752 10920 11200 11375 11557 11648 11760 12000 12187 12192 12250 12288 12446 12480 12544 12700 12740 12800 13000 13208 13312 13335 13440 13650 13928 14000 14224 14336 14560 14700 15240 15288 15360 15600 15680 15875 15925 16000 16256 16510 16640 16800 17410 17472 17780 17920 18200 18375 18669 18816 19050 19110 19200 19500 19600 19812 19968 20320 20384 20480 20800 20892 21000 21336 21504 21840 22225 22400 22633 22750 23114 23296 23520 24000 24374 24384 24500 24765 24892 24960 25088 25400 25480 25600 26000 26115 26416 26624 26670 26880 27300 27856 28000 28448 28672 29120 29400 30480 30576 30720 31115 31200 31360 31750 31850 32000 32512 33020 33280 33600 34125 34671 34820 34944 35560 35840 36400 36561 36750 37338 37632 38100 38220 38400 39000 39200 39624 39936 40640 40768 41275 41600 41784 42000 42672 43008 43525 43680 44450 44800 45266 45500 46228 46592 47040 47625 47775 48000 48748 48768 49000 49530 49784 49920 50176 50800 50960 51200 52000 52230 52832 53248 53340 53760 54600 55712 56000 56896 57785 58240 58800 60935 60960 61152 61440 62230 62400 62720 63500 63700 64000 65024 66040 66560 66675 67200 67899 68250 69342 69640 69888 71120 71680 72800 73122 73500 74676 75264 76200 76440 76800 78000 78400 79248 79625 79872 80899 81280 81536 82550 83200 83568 84000 85309 85344 86016 87050 87360 88900 89600 90532 91000 92456 93184 93345 94080 95250 95550 96000 97496 97536 98000 99060 99568 99840 100352 101600 101920 102400 104000 104460 105664 106680 107520 109200 111125 111424 112000 113165 113792 115570 116480 117600 121870 121920 122304 123825 124460 124800 125440 127000 127400 128000 130048 130575 132080 133120 133350 134400 135798 136500 138684 139280 139776 142240 143360 145600 146244 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243350016000 247243616256 257545433600 260021832000 270422705280 275941536000 277356620800 281690318000 283908352000 288450885632 294337638400 297167808000 309054520320 321931792000 332827944960 338028381600 339620352000 340690022400 346695776000 360563607040 367922048000 386318150400 396223744000 412072693760 416034931200 422535477000 425862528000 432676328448 441506457600 450704508800 475468492800 482897688000 515090867200 520043664000 540845410560 551883072000 554713241600 563380636000 567816704000 576901771264 594335616000 618109040640 643863584000 665655889920 676056763200 693391552000 721127214080 735844096000 772636300800 792447488000 832069862400 845070954000 851725056000 865352656896 883012915200 901409017600 965795376000 1030181734400 1040087328000 1081690821120 1103766144000 1109426483200 1126761272000 1188671232000 1236218081280 1287727168000 1352113526400 1386783104000 1442254428160 1471688192000 1545272601600 1664139724800 1690141908000 1703450112000 1730705313792 1802818035200 1931590752000 2060363468800 2080174656000 2163381642240 2207532288000 2253522544000 2377342464000 2575454336000 2704227052800 2773566208000 2884508856320 3090545203200 3328279449600 3380283816000 3605636070400 3863181504000 4160349312000 4326763284480 4415064576000 4507045088000 5150908672000 5408454105600 5547132416000 6181090406400 6760567632000 7211272140800 7726363008000 8320698624000 8653526568960 9014090176000 10301817344000 10816908211200 13521135264000 14422544281600 15452726016000 16641397248000 18028180352000 21633816422400 27042270528000 30905452032000 36056360704000 43267632844800 54084541056000 72112721408000 108169082112000 216338164224000
- Sum of all divisors σ(n): 909457748140032
- Sum of proper divisors (its aliquot sum) s(n): 693119583916032
- 216338164224000 is an abundant number, because the sum of its proper divisors (693119583916032) is greater than itself. Its abundance is 476781419692032
Bases of 216338164224000
- Binary: 1100010011000010001001110110111000010000000000002
- Hexadecimal: 0xC4C2276E1000
- Base-36: 24OODPAJUO
Squares and roots of 216338164224000
- 216338164224000 squared (2163381642240002) is 46802201299810393522176000000
- 216338164224000 cubed (2163381642240003) is 10125102310843087173862577273831424000000000
-
The
square root of 216338164224000 is 14708438.5379278109 -
The
cube root of 216338164224000 is 60031.2951762499
Scales and comparisons
How big is 216338164224000?- 216,338,164,224,000 seconds is equal to 6,878,884 years, 23 weeks, 18 hours, 40 minutes.
-
To count from 1 to 216,338,164,224,000 would take you about seventeen million, one hundred ninety-seven thousand, two hundred eleven 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 216338164224000 cubic inches would be around 5002.6 feet tall.
Recreational maths with 216338164224000
- 216338164224000 backwards is 000422461833612
- 216338164224000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 216338164224000's digits is 42
- More coming soon!
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Numbermatics. (2024). Number 216338164224000 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/216338164224000/
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The information we have on file for 216338164224000 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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