12006314223120000
12,006,314,223,120,000 is an even composite number composed of seven prime numbers multiplied together.
12006314223120000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, eight hundred divisors.
Prime factorization of 12006314223120000:
27 × 34 × 54 × 72 × 29 × 43 × 30323
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 29 × 43 × 30323)See below for interesting mathematical facts about the number 12006314223120000 from the Numbermatics database.
Names of 12006314223120000
- Cardinal: 12006314223120000 can be written as Twelve quadrillion, six trillion, three hundred fourteen billion, two hundred twenty-three million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 1.200631422312 × 1016
Factors of 12006314223120000
Divisors of 12006314223120000
- Number of divisors d(n): 4800
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 29 30 32 35 36 40 42 43 45 48 49 50 54 56 58 60 63 64 70 72 75 80 81 84 86 87 90 96 98 100 105 108 112 116 120 125 126 128 129 135 140 144 145 147 150 160 162 168 172 174 175 180 189 192 196 200 203 210 215 216 224 225 232 240 245 250 252 258 261 270 280 288 290 294 300 301 315 320 324 336 344 348 350 360 375 378 384 387 392 400 405 406 420 430 432 435 441 448 450 464 480 490 500 504 516 522 525 540 560 567 576 580 588 600 602 609 625 630 640 645 648 672 675 688 696 700 720 725 735 750 756 774 783 784 800 810 812 840 860 864 870 875 882 896 900 903 928 945 960 980 1000 1008 1015 1032 1044 1050 1075 1080 1120 1125 1134 1152 1160 1161 1176 1200 1204 1218 1225 1247 1250 1260 1290 1296 1305 1323 1344 1350 1376 1392 1400 1421 1440 1450 1470 1500 1505 1512 1548 1566 1568 1575 1600 1620 1624 1680 1720 1728 1740 1750 1764 1800 1806 1827 1856 1875 1890 1920 1935 1960 2000 2016 2025 2030 2064 2088 2100 2107 2150 2160 2175 2205 2240 2250 2268 2320 2322 2349 2352 2400 2408 2436 2450 2494 2500 2520 2580 2592 2610 2625 2646 2688 2700 2709 2752 2784 2800 2835 2842 2880 2900 2940 3000 3010 3024 3045 3096 3132 3136 3150 3200 3225 3240 3248 3360 3375 3440 3456 3480 3483 3500 3528 3600 3612 3625 3654 3675 3712 3741 3750 3780 3870 3915 3920 3969 4000 4032 4050 4060 4128 4176 4200 4214 4263 4300 4320 4350 4375 4410 4480 4500 4515 4536 4640 4644 4698 4704 4725 4800 4816 4872 4900 4988 5000 5040 5075 5160 5184 5220 5250 5292 5375 5400 5418 5481 5504 5568 5600 5625 5670 5684 5760 5800 5805 5880 6000 6020 6048 6090 6125 6192 6235 6264 6272 6300 6321 6450 6480 6496 6525 6615 6720 6750 6880 6960 6966 7000 7056 7105 7200 7224 7250 7308 7350 7482 7500 7525 7560 7740 7830 7840 7875 7938 8000 8064 8100 8120 8127 8256 8352 8400 8428 8526 8600 8640 8700 8729 8750 8820 9000 9030 9072 9135 9280 9288 9396 9408 9450 9600 9632 9675 9744 9800 9976 10000 10080 10125 10150 10320 10368 10440 10500 10535 10584 10750 10800 10836 10875 10962 11025 11136 11200 11223 11250 11340 11368 11600 11610 11745 11760 12000 12040 12096 12180 12250 12384 12470 12528 12600 12642 12789 12900 12960 12992 13050 13125 13230 13440 13500 13545 13760 13920 13932 14000 14112 14175 14210 14400 14448 14500 14616 14700 14964 15000 15050 15120 15225 15480 15660 15680 15750 15876 16000 16125 16200 16240 16254 16443 16512 16704 16800 16856 16875 17052 17200 17280 17400 17415 17458 17500 17640 18000 18060 18125 18144 18270 18375 18560 18576 18705 18792 18816 18900 18963 19264 19350 19488 19575 19600 19845 19952 20000 20160 20250 20300 20640 20880 21000 21070 21168 21315 21500 21600 21672 21750 21924 22050 22400 22446 22500 22575 22680 22736 23200 23220 23490 23520 23625 24000 24080 24192 24360 24381 24500 24768 24940 25056 25200 25284 25375 25578 25800 25920 25984 26100 26187 26250 26460 26875 27000 27090 27405 27520 27840 27864 28000 28224 28350 28420 28800 28896 29000 29025 29232 29400 29928 30000 30100 30240 30323 30450 30625 30960 31175 31320 31360 31500 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25875677205000 26680698273600 26799808533750 27225202320000 27600722352000 27792394035000 27921660984000 28586462436000 29572202520000 29645220304000 30015785557800 30628352610000 31024067760000 31266443289375 31762736040000 32016837928320 33350872842000 34303754923200 34500902940000 34902076230000 35733078045000 37056525380000 37519731947250 38115283248000 39888087120000 40021047410400 40837803480000 41401083528000 41688591052500 42879693654000 44467830456000 46001203920000 46536101640000 47644104060000 48025256892480 49005364176000 50026309263000 51751354410000 53361396547200 53599617067500 55584788070000 55843321968000 57172924872000 59144405040000 60031571115600 61256705220000 62532886578750 63525472080000 66701745684000 68607509846400 69001805880000 69804152460000 71466156090000 74113050760000 75039463894500 80042094820800 81675606960000 82802167056000 83377182105000 85759387308000 88935660912000 93072203280000 93799329868125 95288208120000 96050513784960 100052618526000 103502708820000 107199234135000 111169576140000 114345849744000 120063142231200 122513410440000 125065773157500 133403491368000 138003611760000 139608304920000 142932312180000 148226101520000 150078927789000 160084189641600 166754364210000 171518774616000 187598659736250 190576416240000 200105237052000 207005417640000 214398468270000 222339152280000 240126284462400 245026820880000 250131546315000 266806982736000 279216609840000 285864624360000 300157855578000 333508728420000 343037549232000 375197319472500 400210474104000 414010835280000 428796936540000 444678304560000 480252568924800 500263092630000 571729248720000 600315711156000 667017456840000 750394638945000 800420948208000 857593873080000 1000526185260000 1200631422312000 1334034913680000 1500789277890000 1715187746160000 2001052370520000 2401262844624000 3001578555780000 4002104741040000 6003157111560000 12006314223120000
- Sum of all divisors σ(n): 54980901873928800
- Sum of proper divisors (its aliquot sum) s(n): 42974587650808800
- 12006314223120000 is an abundant number, because the sum of its proper divisors (42974587650808800) is greater than itself. Its abundance is 30968273427688800
Bases of 12006314223120000
- Binary: 1010101010011110101101110111100101010010101110100000002
- Hexadecimal: 0x2AA7ADDE54AE80
- Base-36: 3A7VSLYLK00
Squares and roots of 12006314223120000
- 12006314223120000 squared (120063142231200002) is 144151581224293609142534400000000
- 12006314223120000 cubed (120063142231200003) is 1730729179938474302322928834083875328000000000000
-
The
square root of 12006314223120000 is 109573328.0644518893 -
The
cube root of 12006314223120000 is 228982.9969204119
Scales and comparisons
How big is 12006314223120000?- 12,006,314,223,120,000 seconds is equal to 381,763,654 years, 17 weeks.
-
To count from 1 to 12,006,314,223,120,000 would take you about one billion, one hundred forty-five million, two hundred ninety thousand, nine hundred sixty-two 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 12006314223120000 cubic inches would be around 19081.9 feet tall.
Recreational maths with 12006314223120000
- 12006314223120000 backwards is 00002132241360021
- 12006314223120000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12006314223120000's digits is 27
- More coming soon!
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"Number 12006314223120000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 12006314223120000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/12006314223120000/
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Numbermatics. 2024. "Number 12006314223120000 - Facts about the integer". https://numbermatics.com/n/12006314223120000/
The information we have on file for 12006314223120000 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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