12981988364800
12,981,988,364,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 12981988364800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2880 divisors.
12981988364800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 12981988364800:
29 × 52 × 7 × 132 × 17 × 29 × 37 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 13 × 17 × 29 × 37 × 47)See below for interesting mathematical facts about the number 12981988364800 from the Numbermatics database.
Names of 12981988364800
- Cardinal: 12981988364800 can be written as Twelve trillion, nine hundred eighty-one billion, nine hundred eighty-eight million, three hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.29819883648 × 1013
Factors of 12981988364800
Divisors of 12981988364800
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 29 32 34 35 37 40 47 50 52 56 58 64 65 68 70 74 80 85 91 94 100 104 112 116 119 128 130 136 140 145 148 160 169 170 175 182 185 188 200 203 208 221 224 232 235 238 256 259 260 272 280 290 296 320 325 329 338 340 350 364 370 376 377 400 406 416 425 442 448 455 464 470 476 481 493 512 518 520 544 560 580 592 595 611 629 640 650 658 676 680 700 725 728 740 752 754 799 800 812 832 845 850 884 896 910 925 928 940 952 962 986 1015 1036 1040 1073 1088 1105 1120 1160 1175 1183 1184 1190 1222 1258 1280 1295 1300 1316 1352 1360 1363 1400 1450 1456 1480 1504 1508 1547 1598 1600 1624 1645 1664 1690 1700 1739 1768 1792 1820 1850 1856 1880 1885 1904 1924 1972 2030 2072 2080 2146 2176 2210 2240 2275 2320 2350 2366 2368 2380 2405 2444 2465 2516 2560 2590 2600 2632 2639 2704 2720 2726 2800 2873 2900 2912 2960 2975 3008 3016 3055 3094 3145 3196 3200 3248 3290 3328 3367 3380 3400 3451 3478 3536 3584 3640 3700 3712 3760 3770 3808 3848 3944 3995 4060 4144 4160 4225 4277 4292 4352 4403 4420 4480 4550 4640 4700 4732 4736 4760 4810 4888 4901 4930 5032 5075 5180 5200 5264 5278 5365 5408 5440 5452 5525 5593 5600 5746 5800 5824 5915 5920 5950 6016 6032 6110 6188 6253 6290 6392 6400 6409 6475 6496 6580 6656 6734 6760 6800 6815 6902 6956 7072 7280 7400 7424 7511 7520 7540 7616 7696 7735 7888 7943 7990 8120 8177 8225 8288 8320 8450 8554 8584 8695 8704 8806 8840 8960 9100 9280 9400 9425 9464 9472 9520 9541 9620 9776 9802 9860 10064 10150 10360 10387 10400 10528 10556 10730 10816 10880 10904 11050 11186 11200 11492 11600 11648 11830 11840 11900 12025 12032 12064 12173 12220 12325 12376 12506 12580 12784 12800 12818 12950 12992 13160 13195 13468 13520 13600 13630 13804 13912 13949 14144 14365 14560 14800 14848 15022 15040 15080 15232 15275 15392 15470 15725 15776 15886 15980 16240 16354 16450 16576 16640 16835 16900 17108 17168 17255 17390 17612 17680 17719 17920 18200 18241 18560 18800 18850 18928 18944 19040 19082 19240 19552 19604 19720 19975 20111 20128 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2025587200 2028435682 2030974400 2063909120 2076121600 2097929600 2124711680 2152186400 2157910300 2181846784 2192903440 2194757120 2229050200 2238273856 2259308800 2318212208 2321113600 2349681152 2381142400 2386394920 2400515600 2419755520 2459641600 2466183200 2496536224 2506175360 2558027264 2579886400 2633263360 2648844800 2655889600 2698958080 2727308480 2741129300 2743446400 2762125184 2797842320 2853184256 2897765260 2937101440 2948441600 2982993650 3024694400 3035302400 3072659968 3120670280 3132719200 3197534080 3249559040 3291579200 3373697600 3409135600 3443498240 3452656480 3497302900 3508645504 3566480320 3622206575 3671376800 3732601600 3761804800 3818231872 3840824960 3855654400 3900837850 3945893120 3996917600 4056871364 4061948800 4127818240 4195859200 4249423360 4304372800 4315820600 4363693568 4385806880 4458100400 4476547712 4518617600 4636424416 4762284800 4772789840 4801031200 4919283200 4932366400 4993072448 5012350720 5071089205 5159772800 5266526720 5311779200 5397916160 5454616960 5482258600 5486892800 5524250368 5595684640 5706368512 5795530520 5874202880 5965987300 6049388800 6241340560 6265438400 6395068160 6583158400 6747395200 6818271200 6886996480 6905312960 6994605800 7017291008 7132960640 7244413150 7342753600 7465203200 7636463744 7681649920 7801675700 7891786240 7993835200 8113742728 8123897600 8391718400 8608745600 8631641200 8771613760 8916200800 8953095424 9272848832 9524569600 9545579680 9602062400 9864732800 9986144896 10024701440 10142178410 10319545600 10623558400 10909233920 10964517200 10973785600 11048500736 11191369280 11591061040 11748405760 11931974600 12098777600 12482681120 12530876800 12790136320 13166316800 13494790400 13636542400 13810625920 13989211600 14034582016 14265921280 14488826300 14685507200 15272927488 15363299840 15603351400 15987670400 16227485456 16247795200 17217491200 17263282400 17543227520 17832401600 17906190848 18545697664 19091159360 19204124800 19729465600 19972289792 20284356820 20639091200 21247116800 21818467840 21929034400 22382738560 23182122080 23863949200 24965362240 25061753600 25355446025 26332633600 26989580800 27273084800 27621251840 27978423200 28531842560 28977652600 29371014400 30545854976 31206702800 31975340800 32454970912 34434982400 34526564800 35086455040 35664803200 37091395328 38182318720 38408249600 39458931200 39944579584 40568713640 43858068800 44765477120 46364244160 47727898400 49930724480 50123507200 50710892050 54546169600 55242503680 55956846400 57955305200 58742028800 62413405600 63950681600 64909941824 69053129600 70172910080 71329606400 74182790656 76364637440 76816499200 81137427280 87716137600 89530954240 92728488320 95455796800 99861448960 101421784100 109092339200 111913692800 115910610400 124826811200 129819883648 138106259200 142659212800 152729274880 162274854560 175432275200 185456976640 190911593600 199722897920 202843568200 223827385600 231821220800 249653622400 259639767296 276212518400 324549709120 350864550400 370913953280 381823187200 405687136400 447654771200 463642441600 499307244800 519279534592 649099418240 763646374400 811374272800 927284883200 998614489600 1298198836480 1622748545600 1854569766400 2596397672960 3245497091200 6490994182400 12981988364800
- Sum of all divisors σ(n): 45729557406720
- Sum of proper divisors (its aliquot sum) s(n): 32747569041920
- 12981988364800 is an abundant number, because the sum of its proper divisors (32747569041920) is greater than itself. Its abundance is 19765580677120
Bases of 12981988364800
- Binary: 101111001110100110101100111000010010000000002
- Hexadecimal: 0xBCE9ACE1200
- Base-36: 4LNUCOQV4
Squares and roots of 12981988364800
- 12981988364800 squared (129819883648002) is 168532021903802577879040000
- 12981988364800 cubed (129819883648003) is 2187880747451383810901943141793792000000
-
The
square root of 12981988364800 is 3603052.6452995383 -
The
cube root of 12981988364800 is 23502.4825292267
Scales and comparisons
How big is 12981988364800?- 12,981,988,364,800 seconds is equal to 412,787 years, 3 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 12,981,988,364,800 would take you about one million, thirty-one thousand, nine hundred sixty-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 12981988364800 cubic inches would be around 1958.5 feet tall.
Recreational maths with 12981988364800
- 12981988364800 backwards is 00846388918921
- The number of decimal digits it has is: 14
- The sum of 12981988364800's digits is 67
- More coming soon!
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Cite this page
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"Number 12981988364800 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 12981988364800 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/12981988364800/
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The information we have on file for 12981988364800 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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