12983019940800
12,983,019,940,800 is an even composite number composed of six prime numbers multiplied together.
12983019940800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty-six divisors.
Prime factorization of 12983019940800:
26 × 36 × 52 × 7 × 132 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 97 × 97)See below for interesting mathematical facts about the number 12983019940800 from the Numbermatics database.
Names of 12983019940800
- Cardinal: 12983019940800 can be written as Twelve trillion, nine hundred eighty-three billion, nineteen million, nine hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.29830199408 × 1013
Factors of 12983019940800
Divisors of 12983019940800
- Number of divisors d(n): 2646
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 64 65 70 72 75 78 80 81 84 90 91 96 97 100 104 105 108 112 117 120 126 130 135 140 144 150 156 160 162 168 169 175 180 182 189 192 194 195 200 208 210 216 224 225 234 240 243 252 260 270 273 280 288 291 300 312 315 320 324 325 336 338 350 351 360 364 378 388 390 400 405 416 420 432 448 450 455 468 480 485 486 504 507 520 525 540 546 560 567 576 582 585 600 624 630 648 650 672 675 676 679 700 702 720 728 729 756 776 780 800 810 819 832 840 845 864 873 900 910 936 945 960 970 972 975 1008 1014 1040 1050 1053 1080 1092 1120 1134 1164 1170 1183 1200 1215 1248 1260 1261 1296 1300 1344 1350 1352 1358 1365 1400 1404 1440 1455 1456 1458 1512 1521 1552 1560 1575 1600 1620 1638 1680 1690 1701 1728 1746 1755 1800 1820 1872 1890 1940 1944 1950 2016 2025 2028 2037 2080 2100 2106 2160 2184 2240 2268 2275 2328 2340 2366 2400 2425 2430 2457 2496 2520 2522 2535 2592 2600 2619 2700 2704 2716 2730 2800 2808 2835 2880 2910 2912 2916 2925 3024 3042 3104 3120 3150 3159 3240 3276 3360 3380 3395 3402 3492 3510 3549 3600 3640 3645 3744 3780 3783 3880 3888 3900 4032 4050 4056 4074 4095 4160 4200 4212 4225 4320 4365 4368 4536 4550 4563 4656 4680 4725 4732 4800 4850 4860 4914 5040 5044 5070 5103 5184 5200 5238 5265 5400 5408 5432 5460 5600 5616 5670 5820 5824 5832 5850 5915 6048 6075 6084 6111 6208 6240 6300 6305 6318 6480 6552 6720 6760 6790 6804 6825 6984 7020 7098 7200 7275 7280 7290 7371 7488 7560 7566 7605 7760 7776 7800 7857 8100 8112 8148 8190 8400 8424 8450 8505 8640 8730 8736 8775 8827 9072 9100 9126 9312 9360 9409 9450 9464 9477 9700 9720 9828 10080 10088 10140 10185 10206 10400 10476 10530 10647 10800 10816 10864 10920 11200 11232 11340 11349 11640 11664 11700 11830 12096 12150 12168 12222 12285 12480 12600 12610 12636 12675 12960 13095 13104 13520 13580 13608 13650 13689 13968 14040 14175 14196 14400 14550 14560 14580 14742 15120 15132 15210 15520 15552 15600 15714 15795 16200 16224 16296 16380 16393 16800 16848 16900 16975 17010 17460 17472 17550 17654 17745 18144 18200 18225 18252 18333 18624 18720 18818 18900 18915 18928 18954 19400 19440 19656 20160 20176 20280 20370 20412 20475 20800 20952 21060 21294 21600 21728 21825 21840 22113 22464 22680 22698 22815 23280 23328 23400 23571 23660 24300 24336 24444 24570 25200 25220 25272 25350 25515 25920 26190 26208 26325 26481 27040 27160 27216 27300 27378 27936 28080 28227 28350 28392 29100 29120 29160 29484 29575 30240 30264 30420 30555 31040 31200 31428 31525 31590 31941 32400 32448 32592 32760 32786 33600 33696 33800 33950 34020 34047 34920 35100 35308 35490 36288 36400 36450 36504 36666 36855 37440 37636 37800 37830 37856 37908 38025 38800 38880 39285 39312 40352 40560 40740 40824 40950 41067 41904 42120 42525 42588 43200 43456 43650 43680 44135 44226 45360 45396 45630 46560 46656 46800 47045 47142 47320 47385 48600 48672 48888 49140 49179 50400 50440 50544 50700 50925 51030 52380 52416 52650 52962 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9015986070 9247165200 9273585672 9511369920 9560397600 9602825400 9617051808 9659985075 9986938416 10017762300 10295812800 10303984080 10403060850 10685613120 10819183284 10974657600 11096598240 11153797200 11448871200 11591982090 11889212400 12021314760 12329553600 12364780896 12483673020 12803767200 12879980100 13315917888 13357016400 13384556640 13523979105 13738645440 13870747800 14267054880 14425577712 14871729600 15026643450 15364520640 15455976120 15604591275 15852283200 16028419680 16228774926 16644897360 16730695800 17173306800 17809355200 17833818600 18031972140 18494330400 18547171344 19120795200 19205650800 19234103616 19319970150 19973876832 20035524600 20607968160 20806121700 21638366568 22193196480 22307594400 22539965175 22897742400 23183964180 23778424800 24042629520 24729561792 24967346040 25607534400 25759960200 26714032800 26769113280 27047958210 27741495600 28534109760 28851155424 28979955225 30053286900 30911952240 31209182550 32056839360 32457549852 33289794720 33461391600 34346613600 35667637200 36063944280 36988660800 37094342688 38411301600 38639940300 39947753664 40071049200 40571937315 41215936320 41612243400 43276733136 44615188800 45079930350 46367928360 47556849600 48085259040 49934692080 51519920400 53428065600 54095916420 55482991200 57702310848 57959910450 60106573800 61823904480 62418365100 64915099704 66579589440 66922783200 67619895525 68693227200 71335274400 72127888560 74188685376 76822603200 77279880600 80142098400 81143874630 83224486800 86553466272 90159860700 92735856720 96170518080 99869384160 103039840800 108191832840 110965982400 115919820900 120213147600 123647808960 124836730200 129830199408 133845566400 135239791050 142670548800 144255777120 154559761200 160284196800 162287749260 166448973600 173106932544 180319721400 185471713440 199738768320 202859686575 206079681600 216383665680 231839641800 240426295200 249673460400 259660398816 270479582100 288511554240 309119522400 324575498520 332897947200 360639442800 370943426880 405719373150 432767331360 463679283600 480852590400 499346920800 519320797632 540959164200 618239044800 649150997040 721278885600 811438746300 865534662720 927358567200 998693841600 1081918328400 1298301994080 1442557771200 1622877492600 1854717134400 2163836656800 2596603988160 3245754985200 4327673313600 6491509970400 12983019940800
- Sum of all divisors σ(n): 59892183616968
- Sum of proper divisors (its aliquot sum) s(n): 46909163676168
- 12983019940800 is an abundant number, because the sum of its proper divisors (46909163676168) is greater than itself. Its abundance is 33926143735368
Bases of 12983019940800
- Binary: 101111001110110110000100101010101011110000002
- Hexadecimal: 0xBCED84AABC0
- Base-36: 4LOBEV000
Squares and roots of 12983019940800
- 12983019940800 squared (129830199408002) is 168558806783210435504640000
- 12983019940800 cubed (129830199408003) is 2188402349663875386799393430925312000000
-
The
square root of 12983019940800 is 3603195.7955126447 -
The
cube root of 12983019940800 is 23503.1050315763
Scales and comparisons
How big is 12983019940800?- 12,983,019,940,800 seconds is equal to 412,819 years, 45 weeks, 3 days, 12 hours.
-
To count from 1 to 12,983,019,940,800 would take you about one million, thirty-two thousand and forty-nine 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 12983019940800 cubic inches would be around 1958.6 feet tall.
Recreational maths with 12983019940800
- 12983019940800 backwards is 00804991038921
- 12983019940800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12983019940800's digits is 54
- More coming soon!
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"Number 12983019940800 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 12983019940800 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/12983019940800/
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The information we have on file for 12983019940800 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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