12704381587968000
12,704,381,587,968,000 is an even composite number composed of six prime numbers multiplied together.
12704381587968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 12704381587968000:
212 × 3 × 53 × 73 × 1912 × 661
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 191 × 191 × 661)See below for interesting mathematical facts about the number 12704381587968000 from the Numbermatics database.
Names of 12704381587968000
- Cardinal: 12704381587968000 can be written as Twelve quadrillion, seven hundred four trillion, three hundred eighty-one billion, five hundred eighty-seven million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.2704381587968 × 1016
Factors of 12704381587968000
Divisors of 12704381587968000
- Number of divisors d(n): 2496
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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 98 100 105 112 120 125 128 140 147 150 160 168 175 191 192 196 200 210 224 240 245 250 256 280 294 300 320 336 343 350 375 382 384 392 400 420 448 480 490 500 512 525 560 573 588 600 640 661 672 686 700 735 750 764 768 784 800 840 875 896 955 960 980 1000 1024 1029 1050 1120 1146 1176 1200 1225 1280 1322 1337 1344 1372 1400 1470 1500 1528 1536 1568 1600 1680 1715 1750 1792 1910 1920 1960 1983 2000 2048 2058 2100 2240 2292 2352 2400 2450 2560 2625 2644 2674 2688 2744 2800 2865 2940 3000 3056 3072 3136 3200 3305 3360 3430 3500 3584 3675 3820 3840 3920 3966 4000 4011 4096 4116 4200 4480 4584 4627 4704 4775 4800 4900 5120 5145 5250 5288 5348 5376 5488 5600 5730 5880 6000 6112 6125 6144 6272 6400 6610 6685 6720 6860 7000 7168 7350 7640 7680 7840 7932 8000 8022 8232 8400 8575 8960 9168 9254 9359 9408 9550 9600 9800 9915 10240 10290 10500 10576 10696 10752 10976 11200 11460 11760 12000 12224 12250 12288 12544 12800 13220 13370 13440 13720 13881 14000 14325 14336 14700 15280 15360 15680 15864 16000 16044 16464 16525 16800 17150 17920 18336 18375 18508 18718 18816 19100 19200 19600 19830 20055 20480 20580 21000 21152 21392 21504 21952 22400 22920 23135 23520 23875 24000 24448 24500 25088 25600 25725 26440 26740 26880 27440 27762 28000 28077 28650 28672 29400 30560 30720 31360 31728 32000 32088 32389 32928 33050 33425 33600 34300 35840 36481 36672 36750 37016 37436 37632 38200 38400 39200 39660 40110 41160 42000 42304 42784 42875 43008 43904 44800 45840 46270 46795 47040 47750 48000 48896 49000 49575 50176 51200 51450 52880 53480 53760 54880 55524 56000 56154 57300 58800 61120 61440 62720 63456 64000 64176 64778 65513 65856 66100 66850 67200 68600 69405 71625 71680 72962 73344 73500 74032 74872 75264 76400 76800 78400 79320 80220 82320 82625 84000 84608 85568 85750 86016 87808 89600 91680 92540 93590 94080 95500 96000 97167 97792 98000 99150 100275 100352 102400 102900 105760 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549141196800 554292390400 567159892320 578734584000 590791554500 593884704000 600623184000 604970551808 617316889600 620331132225 633477017600 640664729600 648182734080 661686541040 665150868480 675190348000 678725376000 686426496000 691394916352 692865488000 708949865400 740780267520 756213189760 768797675520 771646112000 791846272000 794023849248 800830912000 810228417600 827108176300 831438585600 864243645440 886187331750 886867824640 907455827712 915235328000 925975334400 945266487200 950215526400 960997094400 992529811560 1012785522000 1033885220375 1037092374528 1039298232000 1058698465664 1080304556800 1108584780800 1134319784640 1157469168000 1181583109000 1187769408000 1201246368000 1209941103616 1234633779200 1240662264450 1281329459200 1296365468160 1323373082080 1330301736960 1350380696000 1357450752000 1372852992000 1385730976000 1417899730800 1481560535040 1512426379520 1543292224000 1583692544000 1588047698496 1601661824000 1620456835200 1654216352600 1662877171200 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6651508684800 7089498654000 7259646621696 7407802675200 7562131897600 7940238492480 8102284176000 8271081763000 8314385856000 8469587725312 8642436454400 9074558277120 9259753344000 9452664872000 9502155264000 9609970944000 9925298115600 10370923745280 10586984656640 10803045568000 11085847808000 11343197846400 12099411036160 12346337792000 12406622644500 12704381587968 12963654681600 13233730820800 13303017369600 14178997308000 14519293243392 15124263795200 15880476984960 16204568352000 16542163526000 16628771712000 16939175450624 17284872908800 18149116554240 18519506688000 18905329744000 19219941888000 19850596231200 21173969313280 21606091136000 22171695616000 22686395692800 24198822072320 24813245289000 25408763175936 25927309363200 26467461641600 28357994616000 30248527590400 31760953969920 32409136704000 33084327052000 33257543424000 33878350901248 36298233108480 37039013376000 37810659488000 39701192462400 42347938626560 43212182272000 45372791385600 49626490578000 50817526351872 51854618726400 52934923283200 56715989232000 60497055180800 63521907939840 64818273408000 66168654104000 66515086848000 72596466216960 75621318976000 79402384924800 84695877253120 86424364544000 90745582771200 99252981156000 101635052703744 105869846566400 113431978464000 120994110361600 127043815879680 129636546816000 132337308208000 151242637952000 158804769849600 169391754506240 181491165542400 198505962312000 211739693132800 226863956928000 254087631759360 259273093632000 264674616416000 302485275904000 317609539699200 362982331084800 397011924624000 423479386265600 453727913856000 508175263518720 529349232832000 604970551808000 635219079398400 794023849248000 846958772531200 907455827712000 1058698465664000 1270438158796800 1588047698496000 1814911655424000 2117396931328000 2540876317593600 3176095396992000 4234793862656000 6352190793984000 12704381587968000
- Sum of all divisors σ(n): 49634760980313600
- Sum of proper divisors (its aliquot sum) s(n): 36930379392345600
- 12704381587968000 is an abundant number, because the sum of its proper divisors (36930379392345600) is greater than itself. Its abundance is 24225997804377600
Bases of 12704381587968000
- Binary: 1011010010001010010001010101111010010001010000000000002
- Hexadecimal: 0x2D229157A45000
- Base-36: 3H3BSBW2AYO
Squares and roots of 12704381587968000
- 12704381587968000 squared (127043815879680002) is 161401311532700321322369024000000
- 12704381587968000 cubed (127043815879680003) is 2050503850509925180160542430764814303232000000000
-
The
square root of 12704381587968000 is 112713715.1724136897 -
The
cube root of 12704381587968000 is 233337.4835713359
Scales and comparisons
How big is 12704381587968000?- 12,704,381,587,968,000 seconds is equal to 403,960,037 years, 13 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 12,704,381,587,968,000 would take you about one billion, two hundred eleven million, eight hundred eighty thousand, one 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 12704381587968000 cubic inches would be around 19444.8 feet tall.
Recreational maths with 12704381587968000
- 12704381587968000 backwards is 00086978518340721
- The number of decimal digits it has is: 17
- The sum of 12704381587968000's digits is 69
- More coming soon!
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"Number 12704381587968000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 12704381587968000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/12704381587968000/
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The information we have on file for 12704381587968000 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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