12936313737984000
12,936,313,737,984,000 is an even composite number composed of seven prime numbers multiplied together.
12936313737984000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 12936313737984000:
211 × 3 × 53 × 72 × 132 × 1093 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 1093 × 1861)See below for interesting mathematical facts about the number 12936313737984000 from the Numbermatics database.
Names of 12936313737984000
- Cardinal: 12936313737984000 can be written as Twelve quadrillion, nine hundred thirty-six trillion, three hundred thirteen billion, seven hundred thirty-seven million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.2936313737984 × 1016
Factors of 12936313737984000
Divisors of 12936313737984000
- Number of divisors d(n): 3456
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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 98 100 104 105 112 120 125 128 130 140 147 150 156 160 168 169 175 182 192 195 196 200 208 210 224 240 245 250 256 260 273 280 294 300 312 320 325 336 338 350 364 375 384 390 392 400 416 420 448 455 480 490 500 507 512 520 525 546 560 588 600 624 637 640 650 672 676 700 728 735 750 768 780 784 800 832 840 845 875 896 910 960 975 980 1000 1014 1024 1040 1050 1092 1093 1120 1176 1183 1200 1225 1248 1274 1280 1300 1344 1352 1365 1400 1456 1470 1500 1536 1560 1568 1600 1625 1664 1680 1690 1750 1792 1820 1861 1911 1920 1950 1960 2000 2028 2048 2080 2100 2184 2186 2240 2275 2352 2366 2400 2450 2496 2535 2548 2560 2600 2625 2688 2704 2730 2800 2912 2940 3000 3072 3120 3136 3185 3200 3250 3279 3328 3360 3380 3500 3549 3584 3640 3675 3722 3822 3840 3900 3920 4000 4056 4160 4200 4225 4368 4372 4480 4550 4704 4732 4800 4875 4900 4992 5070 5096 5120 5200 5250 5376 5408 5460 5465 5583 5600 5824 5880 5915 6000 6125 6144 6240 6272 6370 6400 6500 6558 6656 6720 6760 6825 7000 7098 7168 7280 7350 7444 7644 7651 7680 7800 7840 8000 8112 8281 8320 8400 8450 8736 8744 8960 9100 9305 9408 9464 9555 9600 9750 9800 9984 10140 10192 10240 10400 10500 10752 10816 10920 10930 11166 11200 11375 11648 11760 11830 12000 12250 12480 12544 12675 12740 12800 13000 13027 13116 13312 13440 13520 13650 14000 14196 14209 14336 14560 14700 14888 15288 15302 15360 15600 15680 15925 16000 16224 16395 16562 16640 16800 16900 17472 17488 17745 17920 18200 18375 18610 18816 18928 19110 19200 19500 19600 19968 20280 20384 20800 21000 21125 21504 21632 21840 21860 22332 22400 22750 22953 23296 23520 23660 24000 24193 24500 24843 24960 25088 25350 25480 25600 26000 26054 26232 26624 26880 27040 27300 27325 27915 28000 28392 28418 29120 29400 29575 29776 30576 30604 30720 31200 31360 31850 32000 32448 32790 33124 33280 33600 33800 34125 34944 34976 35490 35840 36400 36750 37220 37632 37856 38220 38255 38400 39000 39081 39200 39936 40560 40768 41405 41600 42000 42250 42627 43008 43264 43680 43720 44664 44800 45500 45906 46525 46592 47040 47320 47775 48000 48386 49000 49686 49920 50176 50700 50960 51200 52000 52108 52464 53557 53760 54080 54600 54650 55830 56000 56784 56836 58240 58800 59150 59552 61152 61208 62400 62720 63375 63700 64000 64896 65135 65580 66248 66560 67200 67600 68250 69888 69952 70980 71045 71680 72579 72800 73500 74440 75264 75712 76440 76510 76800 78000 78162 78400 79625 79872 81120 81536 81975 82810 83200 84000 84500 85254 86528 87360 87440 88725 89328 89600 91000 91189 91812 93050 93184 94080 94640 95550 96000 96772 98000 99372 99463 99840 100352 101400 101920 104000 104216 104928 107114 107520 108160 109200 109300 111660 112000 113568 113672 114765 116480 117600 118300 119104 120965 122304 122416 124215 124800 125440 126750 127400 128000 129792 130270 131160 132496 133120 134400 135200 136500 136625 139575 139776 139904 141960 142090 145158 145600 147000 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52801280563200 53901307241600 57751400616000 61601493990400 62193816048000 64681568689920 66001600704000 66340070451200 67376634052000 71078646912000 73921792788480 76546235136000 77001867488000 80851960862400 82925088064000 86242091586560 88002134272000 92402240985600 99510105676800 101064951078000 103490509903872 107802614483200 115502801232000 123202987980800 124387632096000 129363137379840 132003201408000 134753268104000 142157293824000 154003734976000 161703921724800 165850176128000 172484183173120 184804481971200 199020211353600 202129902156000 215605228966400 231005602464000 248775264192000 258726274759680 264006402816000 269506536208000 308007469952000 323407843449600 331700352256000 369608963942400 404259804312000 431210457932800 462011204928000 497550528384000 517452549519360 539013072416000 616014939904000 646815686899200 808519608624000 862420915865600 924022409856000 995101056768000 1078026144832000 1293631373798400 1617039217248000 1848044819712000 2156052289664000 2587262747596800 3234078434496000 4312104579328000 6468156868992000 12936313737984000
- Sum of all divisors σ(n): 54295200325679040
- Sum of proper divisors (its aliquot sum) s(n): 41358886587695040
- 12936313737984000 is an abundant number, because the sum of its proper divisors (41358886587695040) is greater than itself. Its abundance is 28422572849711040
Bases of 12936313737984000
- Binary: 1011011111010110000010010000010000111000111000000000002
- Hexadecimal: 0x2DF582410E3800
- Base-36: 3JDJGHLVF9C
Squares and roots of 12936313737984000
- 12936313737984000 squared (129363137379840002) is 167348213127553570604384256000000
- 12936313737984000 cubed (129363137379840003) is 2164868988509045630330408156794038779904000000000
-
The
square root of 12936313737984000 is 113737916.8878347271 -
The
cube root of 12936313737984000 is 234748.8715415251
Scales and comparisons
How big is 12936313737984000?- 12,936,313,737,984,000 seconds is equal to 411,334,762 years, 11 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 12,936,313,737,984,000 would take you about one billion, two hundred thirty-four million, four thousand, two hundred eighty-six 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 12936313737984000 cubic inches would be around 19562.4 feet tall.
Recreational maths with 12936313737984000
- 12936313737984000 backwards is 00048973731363921
- The number of decimal digits it has is: 17
- The sum of 12936313737984000's digits is 66
- More coming soon!
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"Number 12936313737984000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 12936313737984000 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/12936313737984000/
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Numbermatics. 2024. "Number 12936313737984000 - Facts about the integer". https://numbermatics.com/n/12936313737984000/
The information we have on file for 12936313737984000 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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