12684716948880000
12,684,716,948,880,000 is an even composite number composed of six prime numbers multiplied together.
12684716948880000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, eight hundred divisors.
Prime factorization of 12684716948880000:
27 × 33 × 54 × 192 × 23 × 294
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 19 × 19 × 23 × 29 × 29 × 29 × 29)See below for interesting mathematical facts about the number 12684716948880000 from the Numbermatics database.
Names of 12684716948880000
- Cardinal: 12684716948880000 can be written as Twelve quadrillion, six hundred eighty-four trillion, seven hundred sixteen billion, nine hundred forty-eight million, eight hundred eighty thousand.
Scientific notation
- Scientific notation: 1.268471694888 × 1016
Factors of 12684716948880000
Divisors of 12684716948880000
- Number of divisors d(n): 4800
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 23 24 25 27 29 30 32 36 38 40 45 46 48 50 54 57 58 60 64 69 72 75 76 80 87 90 92 95 96 100 108 114 115 116 120 125 128 135 138 144 145 150 152 160 171 174 180 184 190 192 200 207 216 225 228 230 232 240 250 261 270 276 285 288 290 300 304 320 342 345 348 360 361 368 375 380 384 400 414 432 435 437 450 456 460 464 475 480 500 513 522 540 551 552 570 575 576 580 600 608 621 625 640 667 675 684 690 696 720 722 725 736 750 760 783 800 828 841 855 864 870 874 900 912 920 928 950 960 1000 1026 1035 1044 1080 1083 1102 1104 1125 1140 1150 1152 1160 1200 1216 1242 1250 1305 1311 1334 1350 1368 1380 1392 1425 1440 1444 1450 1472 1500 1520 1566 1600 1653 1656 1682 1710 1725 1728 1740 1748 1800 1805 1824 1840 1856 1875 1900 1920 2000 2001 2052 2070 2088 2160 2166 2175 2185 2204 2208 2250 2280 2300 2320 2375 2400 2432 2484 2500 2523 2565 2610 2622 2668 2700 2736 2755 2760 2784 2850 2875 2880 2888 2900 2944 3000 3040 3105 3132 3200 3249 3306 3312 3335 3364 3375 3420 3450 3456 3480 3496 3600 3610 3625 3648 3680 3712 3750 3800 3915 3933 4000 4002 4104 4140 4176 4205 4275 4320 4332 4350 4370 4408 4416 4500 4560 4600 4640 4750 4800 4959 4968 5000 5046 5130 5175 5220 5244 5336 5400 5415 5472 5510 5520 5568 5625 5700 5750 5760 5776 5800 6000 6003 6080 6210 6264 6498 6525 6555 6612 6624 6670 6728 6750 6840 6900 6960 6992 7125 7200 7220 7250 7296 7360 7500 7569 7600 7830 7866 8000 8004 8208 8265 8280 8303 8352 8410 8550 8625 8640 8664 8700 8740 8816 8832 9000 9025 9120 9200 9280 9500 9600 9747 9918 9936 10000 10005 10092 10260 10350 10440 10469 10488 10672 10800 10830 10875 10925 10944 11020 11040 11136 11250 11400 11500 11552 11600 11799 11875 12000 12006 12160 12420 12528 12615 12673 12825 12996 13050 13110 13224 13248 13340 13456 13500 13680 13775 13800 13920 13984 14250 14375 14400 14440 14500 14720 14877 15000 15138 15200 15525 15660 15732 15979 16000 16008 16245 16416 16530 16560 16606 16675 16704 16820 16875 17100 17250 17280 17328 17400 17480 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79279480930500 83452085190000 84564779659200 87480806544000 88088312145000 91918238760000 93960866288000 99099351163125 101477735591040 105705974574000 109351008180000 110301886512000 111269446920000 117451082860000 126847169488800 132132468217500 133523336304000 137877358140000 140941299432000 145801344240000 158558961861000 166904170380000 169129559318400 176176624290000 183836477520000 198198702326250 211411949148000 218702016360000 222538893840000 234902165720000 253694338977600 264264936435000 275754716280000 281882598864000 317117923722000 333808340760000 352353248580000 396397404652500 422823898296000 437404032720000 469804331440000 507388677955200 528529872870000 551509432560000 634235847444000 667616681520000 704706497160000 792794809305000 845647796592000 1057059745740000 1268471694888000 1409412994320000 1585589618610000 2114119491480000 2536943389776000 3171179237220000 4228238982960000 6342358474440000 12684716948880000
- Sum of all divisors σ(n): 53360434836244800
- Sum of proper divisors (its aliquot sum) s(n): 40675717887364800
- 12684716948880000 is an abundant number, because the sum of its proper divisors (40675717887364800) is greater than itself. Its abundance is 27991000938484800
Bases of 12684716948880000
- Binary: 1011010001000010101110110011111101000001111010100000002
- Hexadecimal: 0x2D10AECFD07A80
- Base-36: 3GWCUIPODC0
Squares and roots of 12684716948880000
- 12684716948880000 squared (126847169488800002) is 160902044073203536533254400000000
- 12684716948880000 cubed (126847169488800003) is 2040996885564801651301328365424835072000000000000
-
The
square root of 12684716948880000 is 112626448.7093506825 -
The
cube root of 12684716948880000 is 233217.0299346379
Scales and comparisons
How big is 12684716948880000?- 12,684,716,948,880,000 seconds is equal to 403,334,762 years, 29 weeks, 4 days.
-
To count from 1 to 12,684,716,948,880,000 would take you about one billion, two hundred ten million, four thousand, two hundred eighty-seven 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 12684716948880000 cubic inches would be around 19434.8 feet tall.
Recreational maths with 12684716948880000
- 12684716948880000 backwards is 00008884961748621
- 12684716948880000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12684716948880000's digits is 72
- More coming soon!
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"Number 12684716948880000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 12684716948880000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/12684716948880000/
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The information we have on file for 12684716948880000 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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