5138988348211200
5,138,988,348,211,200 is an even composite number composed of four prime numbers multiplied together.
What does the number 5138988348211200 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 3150 divisors.
5138988348211200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three thousand, one hundred fifty divisors.
Prime factorization of 5138988348211200:
224 × 36 × 52 × 75
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 7)See below for interesting mathematical facts about the number 5138988348211200 from the Numbermatics database.
Names of 5138988348211200
- Cardinal: 5138988348211200 can be written as Five quadrillion, one hundred thirty-eight trillion, nine hundred eighty-eight billion, three hundred forty-eight million, two hundred eleven thousand, two hundred.
Scientific notation
- Scientific notation: 5.1389883482112 × 1015
Factors of 5138988348211200
Divisors of 5138988348211200
- Number of divisors d(n): 3150
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 81 84 90 96 98 100 105 108 112 120 126 128 135 140 144 147 150 160 162 168 175 180 189 192 196 200 210 216 224 225 240 243 245 252 256 270 280 288 294 300 315 320 324 336 343 350 360 378 384 392 400 405 420 432 441 448 450 480 486 490 504 512 525 540 560 567 576 588 600 630 640 648 672 675 686 700 720 729 735 756 768 784 800 810 840 864 882 896 900 945 960 972 980 1008 1024 1029 1050 1080 1120 1134 1152 1176 1200 1215 1225 1260 1280 1296 1323 1344 1350 1372 1400 1440 1458 1470 1512 1536 1568 1575 1600 1620 1680 1701 1715 1728 1764 1792 1800 1890 1920 1944 1960 2016 2025 2048 2058 2100 2160 2205 2240 2268 2304 2352 2400 2401 2430 2450 2520 2560 2592 2646 2688 2700 2744 2800 2835 2880 2916 2940 3024 3072 3087 3136 3150 3200 3240 3360 3402 3430 3456 3528 3584 3600 3645 3675 3780 3840 3888 3920 3969 4032 4050 4096 4116 4200 4320 4410 4480 4536 4608 4704 4725 4800 4802 4860 4900 5040 5103 5120 5145 5184 5292 5376 5400 5488 5600 5670 5760 5832 5880 6048 6075 6144 6174 6272 6300 6400 6480 6615 6720 6804 6860 6912 7056 7168 7200 7203 7290 7350 7560 7680 7776 7840 7938 8064 8100 8192 8232 8400 8505 8575 8640 8820 8960 9072 9216 9261 9408 9450 9600 9604 9720 9800 10080 10206 10240 10290 10368 10584 10752 10800 10976 11025 11200 11340 11520 11664 11760 11907 12005 12096 12150 12288 12348 12544 12600 12800 12960 13230 13440 13608 13720 13824 14112 14175 14336 14400 14406 14580 14700 15120 15360 15435 15552 15680 15876 16128 16200 16384 16464 16800 16807 17010 17150 17280 17640 17920 18144 18225 18432 18522 18816 18900 19200 19208 19440 19600 19845 20160 20412 20480 20580 20736 21168 21504 21600 21609 21952 22050 22400 22680 23040 23328 23520 23814 24010 24192 24300 24576 24696 25088 25200 25515 25600 25725 25920 26460 26880 27216 27440 27648 27783 28224 28350 28672 28800 28812 29160 29400 30240 30720 30870 31104 31360 31752 32256 32400 32768 32928 33075 33600 33614 34020 34300 34560 35280 35721 35840 36015 36288 36450 36864 37044 37632 37800 38400 38416 38880 39200 39690 40320 40824 40960 41160 41472 42336 42525 43008 43200 43218 43904 44100 44800 45360 46080 46305 46656 47040 47628 48020 48384 48600 49152 49392 50176 50400 50421 51030 51200 51450 51840 52920 53760 54432 54880 55296 55566 56448 56700 57344 57600 57624 58320 58800 59535 60025 60480 61440 61740 62208 62720 63504 64512 64800 64827 65536 65856 66150 67200 67228 68040 68600 69120 70560 71442 71680 72030 72576 72900 73728 74088 75264 75600 76800 76832 77175 77760 78400 79380 80640 81648 81920 82320 82944 83349 84035 84672 85050 86016 86400 86436 87808 88200 89600 90720 92160 92610 93312 94080 95256 96040 96768 97200 98304 98784 99225 100352 100800 100842 102060 102400 102900 103680 105840 107520 108045 108864 109760 110592 111132 112896 113400 114688 115200 115248 116640 117600 119070 120050 120960 122880 123480 124416 125440 127008 127575 129024 129600 129654 131072 131712 132300 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44590694400 44609273856 44808422400 45317357568 45519667200 46242201600 46467993600 46820229120 47205580800 47563407360 47795650560 48554311680 49565859840 49941577728 50185433088 50352619520 50960793600 50982027264 51209625600 51791265792 52022476800 52276492800 52870250496 53106278400 53508833280 53949235200 54623600640 55073177600 55490641920 55761592320 56646696960 57354780672 58265174016 58525286400 59454259200 59479031808 59744563200 60423143424 60692889600 61152952320 61656268800 61957324800 62426972160 62731791360 62940774400 63727534080 64739082240 65548320768 66087813120 66588770304 66886041600 66913910784 67976036352 68279500800 69363302400 69701990400 70493667328 70808371200 71345111040 71693475840 71932313600 72831467520 74348789760 74912366592 75528929280 76441190400 76473040896 77686898688 78033715200 78414739200 79272345600 79305375744 79659417600 80923852800 81935400960 82609766400 83235962880 83642388480 84970045440 85614133248 86318776320 87397761024 88117084160 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401483464704 407856218112 409677004800 416179814400 418211942400 422962003968 424850227200 428070666240 431593881600 436988805120 440585420800 446092738560 453173575680 458838245376 466121392128 468202291200 475832254464 477956505600 485543116800 495658598400 499415777280 501854330880 503526195200 509820272640 524386566144 528702504960 535088332800 535311286272 543808290816 546236006400 554906419200 557615923200 566466969600 573547806720 582651740160 594790318080 599298932736 604231434240 611784327168 624269721600 627317913600 634443005952 637275340800 647390822400 655483207680 660878131200 669139107840 679760363520 699182088192 704936673280 713451110400 713748381696 716934758400 728314675200 743487897600 749123665920 755289292800 764730408960 776868986880 793053757440 802966929408 815712436224 819354009600 832359628800 836423884800 845924007936 849700454400 873977610240 881170841600 892185477120 906347151360 917676490752 936404582400 951664508928 955913011200 971086233600 991317196800 998831554560 1003708661760 1007052390400 1019640545280 1048773132288 1057405009920 1070176665600 1070622572544 1087616581632 1092472012800 1115231846400 1132933939200 1147095613440 1165303480320 1189580636160 1223568654336 1248539443200 1254635827200 1268886011904 1274550681600 1294781644800 1310966415360 1321756262400 1338278215680 1359520727040 1398364176384 1409873346560 1427496763392 1433869516800 1456629350400 1486975795200 1498247331840 1510578585600 1529460817920 1586107514880 1605933858816 1631424872448 1638708019200 1664719257600 1672847769600 1699400908800 1747955220480 1762341683200 1784370954240 1812694302720 1835352981504 1872809164800 1903329017856 1911826022400 1942172467200 1982634393600 2007417323520 2039281090560 2097546264576 2114810019840 2140353331200 2141245145088 2184944025600 2230463692800 2265867878400 2294191226880 2330606960640 2379161272320 2447137308672 2497078886400 2509271654400 2537772023808 2549101363200 2621932830720 2643512524800 2676556431360 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10574050099200 10706225725440 11419974107136 11470956134400 11653034803200 11895806361600 12235686543360 12688860119040 12847470870528 13109664153600 13382782156800 13595207270400 14274967633920 14682823852032 14982473318400 15294608179200 15861075148800 16059338588160 16314248724480 17129961160704 17479552204800 17843709542400 18353529815040 19033290178560 20074173235200 20392810905600 20975462645760 21148100198400 21412451450880 22839948214272 22941912268800 23791612723200 24471373086720 25694941741056 26219328307200 26765564313600 27190414540800 28549935267840 29365647704064 30589216358400 31722150297600 32118677176320 34259922321408 34959104409600 35687419084800 36707059630080 38066580357120 40148346470400 40785621811200 42824902901760 45883824537600 47583225446400 48942746173440 51389883482112 52438656614400 53531128627200 57099870535680 61178432716800 63444300595200 64237354352640 68519844642816 71374838169600 73414119260160 80296692940800 81571243622400 85649805803520 91767649075200 95166450892800 102779766964224 104877313228800 107062257254400 114199741071360 122356865433600 128474708705280 142749676339200 146828238520320 160593385881600 171299611607040 183535298150400 190332901785600 205559533928448 214124514508800 244713730867200 256949417410560 285499352678400 321186771763200 342599223214080 367070596300800 428249029017600 513898834821120 570998705356800 642373543526400 734141192601600 856498058035200 1027797669642240 1284747087052800 1712996116070400 2569494174105600 5138988348211200
- Sum of all divisors σ(n): 22292821195515384
- Sum of proper divisors (its aliquot sum) s(n): 17153832847304184
- 5138988348211200 is an abundant number, because the sum of its proper divisors (17153832847304184) is greater than itself. Its abundance is 12014844499092984
Bases of 5138988348211200
- Binary: 100100100000111100001111101110000000000000000000000002
- Hexadecimal: 0x1241E1F7000000
- Base-36: 1ELMANLS000
Squares and roots of 5138988348211200
- 5138988348211200 squared (51389883482112002) is 26409201243050477782239805440000
- 5138988348211200 cubed (51389883482112003) is 135716577473601144601295502405556060028928000000
-
The
square root of 5138988348211200 is 71686737.6033475245 -
The
cube root of 5138988348211200 is 172567.5808655361
Scales and comparisons
How big is 5138988348211200?- 5,138,988,348,211,200 seconds is equal to 163,403,933 years, 28 weeks.
-
To count from 1 to 5,138,988,348,211,200 would take you about four hundred ninety million, two hundred eleven thousand, eight hundred 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 5138988348211200 cubic inches would be around 14380.6 feet tall.
Recreational maths with 5138988348211200
- 5138988348211200 backwards is 0021128438898315
- 5138988348211200 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 5138988348211200's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 5138988348211200 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 5138988348211200 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/5138988348211200/
Chicago style:
Numbermatics. 2024. "Number 5138988348211200 - Facts about the integer". https://numbermatics.com/n/5138988348211200/
The information we have on file for 5138988348211200 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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