12097827168000
12,097,827,168,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 12097827168000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
12097827168000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 12097827168000:
28 × 3 × 53 × 72 × 157 × 16381
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 157 × 16381)See below for interesting mathematical facts about the number 12097827168000 from the Numbermatics database.
Names of 12097827168000
- Cardinal: 12097827168000 can be written as Twelve trillion, ninety-seven billion, eight hundred twenty-seven million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.2097827168 × 1013
Factors of 12097827168000
Divisors of 12097827168000
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 128 140 147 150 157 160 168 175 192 196 200 210 224 240 245 250 256 280 294 300 314 320 336 350 375 384 392 400 420 448 471 480 490 500 525 560 588 600 628 640 672 700 735 750 768 784 785 800 840 875 896 942 960 980 1000 1050 1099 1120 1176 1200 1225 1256 1280 1344 1400 1470 1500 1568 1570 1600 1680 1750 1792 1884 1920 1960 2000 2100 2198 2240 2352 2355 2400 2450 2512 2625 2688 2800 2940 3000 3136 3140 3200 3297 3360 3500 3675 3768 3840 3920 3925 4000 4200 4396 4480 4704 4710 4800 4900 5024 5250 5376 5495 5600 5880 6000 6125 6272 6280 6400 6594 6720 7000 7350 7536 7693 7840 7850 8000 8400 8792 8960 9408 9420 9600 9800 10048 10500 10990 11200 11760 11775 12000 12250 12544 12560 13188 13440 14000 14700 15072 15386 15680 15700 16000 16381 16485 16800 17584 18375 18816 18840 19200 19600 19625 20096 21000 21980 22400 23079 23520 23550 24000 24500 25120 26376 26880 27475 28000 29400 30144 30772 31360 31400 32000 32762 32970 33600 35168 36750 37632 37680 38465 39200 39250 40192 42000 43960 44800 46158 47040 47100 48000 49000 49143 50240 52752 54950 56000 58800 58875 60288 61544 62720 62800 65524 65940 67200 70336 73500 75360 76930 78400 78500 81905 82425 84000 87920 92316 94080 94200 96000 98000 98286 100480 105504 109900 112000 114667 115395 117600 117750 120576 123088 125600 131048 131880 134400 137375 140672 147000 150720 153860 156800 157000 163810 164850 168000 175840 184632 188160 188400 192325 196000 196572 200960 211008 219800 224000 229334 230790 235200 235500 245715 246176 251200 262096 263760 274750 281344 294000 301440 307720 313600 314000 327620 329700 336000 344001 351680 369264 376800 384650 392000 393144 409525 412125 422016 439600 458668 461580 470400 471000 491430 492352 502400 524192 527520 549500 573335 576975 588000 602880 615440 628000 655240 659400 672000 688002 703360 738528 753600 769300 784000 786288 802669 819050 824250 844032 879200 917336 923160 940800 942000 961625 982860 984704 1004800 1048384 1055040 1099000 1146670 1153950 1176000 1228575 1230880 1256000 1310480 1318800 1376004 1406720 1477056 1507200 1538600 1568000 1572576 1605338 1638100 1648500 1720005 1758400 1834672 1846320 1884000 1923250 1965720 1969408 2047625 2096768 2110080 2198000 2293340 2307900 2352000 2408007 2457150 2461760 2512000 2571817 2620960 2637600 2752008 2866675 2884875 2954112 3014400 3077200 3145152 3210676 3276200 3297000 3440010 3516800 3669344 3692640 3768000 3846500 3931440 4013345 4095250 4193536 4220160 4396000 4586680 4615800 4704000 4816014 4914300 4923520 5024000 5143634 5241920 5275200 5504016 5733350 5769750 5908224 6142875 6154400 6290304 6421352 6552400 6594000 6880020 7033600 7338688 7385280 7536000 7693000 7715451 7862880 8026690 8190500 8600025 8792000 9173360 9231600 9632028 9828600 9847040 10287268 10483840 10550400 11008032 11466700 11539500 12040035 12285750 12308800 12580608 12842704 12859085 13104800 13188000 13760040 14333375 14677376 14770560 15072000 15386000 15430902 15725760 16053380 16381000 17200050 17584000 18002719 18346720 18463200 19264056 19657200 20066725 20574536 20967680 21100800 22016064 22933400 23079000 24080070 24571500 24617600 25685408 25718170 26209600 26376000 27520080 28666750 29354752 29541120 30772000 30861804 31451520 32106760 32762000 34400100 35168000 36005438 36693440 36926400 38528112 38577255 39314400 40133450 41149072 43000125 44032128 45866800 46158000 48160140 49143000 49235200 51370816 51436340 52419200 52752000 54008157 55040160 57333500 60200175 61544000 61723608 62903040 64213520 64295425 65524000 68800200 72010876 73386880 73852800 77056224 77154510 78628800 80266900 82298144 86000250 88064256 90013595 91733600 92316000 96320280 98286000 100333625 102741632 102872680 104838400 105504000 108016314 110080320 114667000 120400350 123088000 123447216 126019033 128427040 128590850 131048000 137600400 144021752 146773760 147705600 154112448 154309020 157257600 160533800 164596288 172000500 180027190 183467200 184632000 192640560 192886275 196572000 200667250 205483264 205745360 216032628 220160640 229334000 240800700 246176000 246894432 252038066 256854080 257181700 262096000 270040785 275200800 288043504 301000875 308224896 308618040 314515200 321067600 321477125 329192576 344001000 360054380 366934400 369264000 378057099 385281120 385772550 393144000 401334500 411490720 432065256 440321280 450067975 458668000 481601400 493788864 504076132 513708160 514363400 524192000 540081570 550401600 576087008 602001750 616449792 617236080 630095165 642135200 642954250 658385152 688002000 720108760 733868800 738528000 756114198 770562240 771545100 786288000 802669000 822981440 864130512 900135950 917336000 963202800 964431375 987577728 1008152264 1027416320 1028726800 1080163140 1100803200 1152174016 1204003500 1234472160 1260190330 1284270400 1285908500 1350203925 1376004000 1440217520 1512228396 1541124480 1543090200 1572576000 1605338000 1645962880 1728261024 1800271900 1834672000 1890285495 1926405600 1928862750 1975155456 2016304528 2057453600 2160326280 2201606400 2250339875 2304348032 2408007000 2468944320 2520380660 2568540800 2571817000 2700407850 2752008000 2880435040 3024456792 3082248960 3086180400 3150475825 3210676000 3291925760 3456522048 3600543800 3669344000 3780570990 3852811200 3857725500 4032609056 4114907200 4320652560 4500679750 4608696064 4816014000 4937888640 5040761320 5137081600 5143634000 5400815700 5504016000 5760870080 6048913584 6172360800 6300951650 6421352000 6751019625 6913044096 7201087600 7561141980 7705622400 7715451000 8065218112 8229814400 8641305120 9001359500 9451427475 9632028000 9875777280 10081522640 10287268000 10801631400 11008032000 11521740160 12097827168 12344721600 12601903300 12842704000 13502039250 13826088192 14402175200 15122283960 15411244800 15430902000 15752379125 16130436224 16459628800 17282610240 18002719000 18902854950 19264056000 20163045280 20574536000 21603262800 23043480320 24195654336 24689443200 25203806600 25685408000 27004078500 28804350400 30244567920 30861804000 31504758250 32260872448 34565220480 36005438000 37805709900 38528112000 40326090560 41149072000 43206525600 47257137375 48391308672 49378886400 50407613200 54008157000 57608700800 60489135840 61723608000 63009516500 69130440960 72010876000 75611419800 77056224000 80652181120 82298144000 86413051200 94514274750 96782617344 100815226400 108016314000 115217401600 120978271680 123447216000 126019033000 144021752000 151222839600 161304362240 172826102400 189028549500 201630452800 216032628000 241956543360 246894432000 252038066000 288043504000 302445679200 345652204800 378057099000 403260905600 432065256000 483913086720 504076132000 576087008000 604891358400 756114198000 806521811200 864130512000 1008152264000 1209782716800 1512228396000 1728261024000 2016304528000 2419565433600 3024456792000 4032609056000 6048913584000 12097827168000
- Sum of all divisors σ(n): 47044012212288
- Sum of proper divisors (its aliquot sum) s(n): 34946185044288
- 12097827168000 is an abundant number, because the sum of its proper divisors (34946185044288) is greater than itself. Its abundance is 22848357876288
Bases of 12097827168000
- Binary: 101100000000101111101011000011011111000000002
- Hexadecimal: 0xB00BEB0DF00
- Base-36: 4ADNXXT6O
Squares and roots of 12097827168000
- 12097827168000 squared (120978271680002) is 146357422186798900224000000
- 12097827168000 cubed (120978271680003) is 1770606798369901706082428485632000000000
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The
square root of 12097827168000 is 3478193.0895222019 -
The
cube root of 12097827168000 is 22956.3299706053
Scales and comparisons
How big is 12097827168000?- 12,097,827,168,000 seconds is equal to 384,673 years, 25 weeks, 18 hours, 40 minutes.
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To count from 1 to 12,097,827,168,000 would take you about nine hundred sixty-one thousand, six hundred eighty-three 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 12097827168000 cubic inches would be around 1913 feet tall.
Recreational maths with 12097827168000
- 12097827168000 backwards is 00086172879021
- The number of decimal digits it has is: 14
- The sum of 12097827168000's digits is 51
- More coming soon!
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The information we have on file for 12097827168000 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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