138480581836800
138,480,581,836,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 138480581836800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
138480581836800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138480581836800:
215 × 35 × 52 × 72 × 14197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 14197)See below for interesting mathematical facts about the number 138480581836800 from the Numbermatics database.
Names of 138480581836800
- Cardinal: 138480581836800 can be written as One hundred thirty-eight trillion, four hundred eighty billion, five hundred eighty-one million, eight hundred thirty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.384805818368 × 1014
Factors of 138480581836800
Divisors of 138480581836800
- Number of divisors d(n): 1728
-
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 98 100 105 108 112 120 126 128 135 140 144 147 150 160 162 168 175 180 189 192 196 200 210 216 224 225 240 243 245 252 256 270 280 288 294 300 315 320 324 336 350 360 378 384 392 400 405 420 432 441 448 450 480 486 490 504 512 525 540 560 567 576 588 600 630 640 648 672 675 700 720 735 756 768 784 800 810 840 864 882 896 900 945 960 972 980 1008 1024 1050 1080 1120 1134 1152 1176 1200 1215 1225 1260 1280 1296 1323 1344 1350 1400 1440 1470 1512 1536 1568 1575 1600 1620 1680 1701 1728 1764 1792 1800 1890 1920 1944 1960 2016 2025 2048 2100 2160 2205 2240 2268 2304 2352 2400 2430 2450 2520 2560 2592 2646 2688 2700 2800 2835 2880 2940 3024 3072 3136 3150 3200 3240 3360 3402 3456 3528 3584 3600 3675 3780 3840 3888 3920 3969 4032 4050 4096 4200 4320 4410 4480 4536 4608 4704 4725 4800 4860 4900 5040 5120 5184 5292 5376 5400 5600 5670 5760 5880 6048 6075 6144 6272 6300 6400 6480 6615 6720 6804 6912 7056 7168 7200 7350 7560 7680 7776 7840 7938 8064 8100 8192 8400 8505 8640 8820 8960 9072 9216 9408 9450 9600 9720 9800 10080 10240 10368 10584 10752 10800 11025 11200 11340 11520 11760 11907 12096 12150 12288 12544 12600 12800 12960 13230 13440 13608 13824 14112 14175 14197 14336 14400 14700 15120 15360 15552 15680 15876 16128 16200 16384 16800 17010 17280 17640 17920 18144 18432 18816 18900 19200 19440 19600 19845 20160 20480 20736 21168 21504 21600 22050 22400 22680 23040 23520 23814 24192 24300 24576 25088 25200 25600 25920 26460 26880 27216 27648 28224 28350 28394 28672 28800 29400 30240 30720 31104 31360 31752 32256 32400 32768 33075 33600 34020 34560 35280 35840 36288 36864 37632 37800 38400 38880 39200 39690 40320 40960 41472 42336 42525 42591 43008 43200 44100 44800 45360 46080 47040 47628 48384 48600 49152 50176 50400 51200 51840 52920 53760 54432 55296 56448 56700 56788 57344 57600 58800 59535 60480 61440 62208 62720 63504 64512 64800 66150 67200 68040 69120 70560 70985 71680 72576 73728 75264 75600 76800 77760 78400 79380 80640 81920 82944 84672 85050 85182 86016 86400 88200 89600 90720 92160 94080 95256 96768 97200 98304 99225 99379 100352 100800 102400 103680 105840 107520 108864 110592 112896 113400 113576 114688 115200 117600 119070 120960 122880 124416 125440 127008 127773 129024 129600 132300 134400 136080 138240 141120 141970 143360 145152 147456 150528 151200 153600 155520 156800 158760 161280 163840 165888 169344 170100 170364 172032 172800 176400 179200 181440 184320 188160 190512 193536 194400 198450 198758 200704 201600 204800 207360 211680 212955 215040 217728 221184 225792 226800 227152 229376 230400 235200 238140 241920 245760 248832 250880 254016 255546 258048 259200 264600 268800 272160 276480 282240 283940 286720 290304 294912 297675 298137 301056 302400 307200 311040 313600 317520 322560 331776 338688 340200 340728 344064 345600 352800 354925 358400 362880 368640 376320 381024 383319 387072 388800 396900 397516 401408 403200 409600 414720 423360 425910 430080 435456 442368 451584 453600 454304 460800 470400 476280 483840 491520 496895 497664 501760 508032 511092 516096 518400 529200 537600 544320 552960 564480 567880 573440 580608 595350 596274 602112 604800 614400 622080 627200 635040 638865 645120 663552 677376 680400 681456 688128 691200 695653 705600 709850 716800 725760 737280 752640 762048 766638 774144 777600 793800 795032 802816 806400 819200 829440 846720 851820 860160 870912 884736 894411 903168 907200 908608 921600 940800 952560 967680 993790 995328 1003520 1016064 1022184 1032192 1036800 1058400 1064775 1075200 1088640 1105920 1128960 1135760 1146880 1149957 1161216 1190700 1192548 1204224 1209600 1228800 1244160 1254400 1270080 1277730 1290240 1327104 1354752 1360800 1362912 1382400 1391306 1411200 1419700 1433600 1451520 1474560 1490685 1505280 1524096 1533276 1548288 1555200 1587600 1590064 1605632 1612800 1658880 1693440 1703640 1720320 1741824 1788822 1806336 1814400 1817216 1843200 1881600 1905120 1916595 1935360 1987580 1990656 2007040 2032128 2044368 2064384 2073600 2086959 2116800 2129550 2150400 2177280 2211840 2257920 2271520 2299914 2322432 2381400 2385096 2408448 2419200 2457600 2484475 2488320 2508800 2540160 2555460 2580480 2654208 2683233 2709504 2721600 2725824 2764800 2782612 2822400 2839400 2867200 2903040 2981370 3010560 3048192 3066552 3096576 3110400 3175200 3180128 3194325 3225600 3317760 3386880 3407280 3440640 3449871 3478265 3483648 3577644 3612672 3628800 3634432 3686400 3763200 3810240 3833190 3870720 3975160 3981312 4014080 4064256 4088736 4147200 4173918 4233600 4259100 4300800 4354560 4423680 4472055 4515840 4543040 4599828 4644864 4762800 4770192 4816896 4838400 4968950 4976640 5017600 5080320 5110920 5160960 5366466 5419008 5443200 5451648 5529600 5565224 5644800 5678800 5734400 5749785 5806080 5962740 6021120 6096384 6133104 6193152 6220800 6260877 6350400 6360256 6388650 6451200 6635520 6773760 6814560 6899742 6956530 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2453241600 2504350800 2544102400 2575903680 2616791040 2671307520 2704698864 2747630592 2759896800 2817394650 2849394688 2862115200 2907545600 2943889920 3005220960 3052922880 3091084416 3140149248 3205569024 3219879600 3251404800 3256451072 3270988800 3339134400 3380873580 3434538240 3489054720 3532667904 3561743360 3606265152 3663507456 3679862400 3756526200 3816153600 3863855520 3925186560 4006961280 4070563840 4121445888 4186865664 4226091975 4274092032 4293172800 4361318400 4415834880 4452179200 4507831440 4579384320 4710223872 4808353536 4829819400 4877107200 4884676608 4906483200 5008701600 5088204800 5151807360 5233582080 5342615040 5409397728 5495261184 5519793600 5634789300 5698789376 5724230400 5815091200 5887779840 6010441920 6105845760 6182168832 6280298496 6411138048 6439759200 6541977600 6678268800 6761747160 6869076480 6978109440 7065335808 7123486720 7212530304 7327014912 7359724800 7513052400 7632307200 7727711040 7850373120 8013922560 8141127680 8242891776 8452183950 8548184064 8586345600 8722636800 8831669760 8904358400 9015662880 9158768640 9420447744 9616707072 9659638800 9754214400 9769353216 9812966400 10017403200 10176409600 10303614720 10467164160 10685230080 10818795456 10990522368 11039587200 11269578600 11397578752 11448460800 11630182400 11775559680 12020883840 12211691520 12364337664 12560596992 12822276096 12879518400 13083955200 13356537600 13523494320 13738152960 14130671616 14246973440 14425060608 14654029824 14719449600 15026104800 15264614400 15455422080 15700746240 16027845120 16282255360 16485783552 16904367900 17096368128 17172691200 17445273600 17663339520 17808716800 18031325760 18317537280 18840895488 19233414144 19319277600 19625932800 20034806400 20352819200 20607229440 20934328320 21370460160 21637590912 21981044736 22079174400 22539157200 22795157504 22896921600 23551119360 24041767680 24423383040 24728675328 25644552192 25759036800 26167910400 26713075200 27046988640 27476305920 28261343232 28493946880 28850121216 29308059648 29438899200 30052209600 30529228800 30910844160 31401492480 32055690240 32971567104 33808735800 34192736256 34345382400 34890547200 35326679040 35617433600 36062651520 36635074560 37681790976 38466828288 38638555200 39251865600 40069612800 40705638400 41214458880 42740920320 43275181824 43962089472 44158348800 45078314400 45793843200 47102238720 48083535360 48846766080 49457350656 51289104384 51518073600 52335820800 53426150400 54093977280 54952611840 56522686464 56987893760 57700242432 58877798400 60104419200 61058457600 61821688320 62802984960 64111380480 65943134208 67617471600 68385472512 68690764800 70653358080 71234867200 72125303040 73270149120 76933656576 77277110400 78503731200 80139225600 81411276800 82428917760 85481840640 86550363648 87924178944 88316697600 90156628800 91587686400 94204477440 96167070720 98914701312 102578208768 103036147200 104671641600 106852300800 108187954560 109905223680 113045372928 113975787520 115400484864 117755596800 120208838400 122116915200 123643376640 128222760960 131886268416 135234943200 137381529600 141306716160 142469734400 144250606080 146540298240 153867313152 154554220800 157007462400 160278451200 164857835520 170963681280 173100727296 176633395200 180313257600 183175372800 188408954880 192334141440 197829402624 205156417536 206072294400 213704601600 216375909120 219810447360 230800969728 235511193600 240417676800 244233830400 247286753280 256445521920 263772536832 270469886400 274763059200 282613432320 284939468800 288501212160 307734626304 309108441600 314014924800 320556902400 329715671040 341927362560 346201454592 353266790400 360626515200 366350745600 384668282880 395658805248 412144588800 427409203200 432751818240 439620894720 461601939456 471022387200 480835353600 494573506560 512891043840 540939772800 549526118400 565226864640 569878937600 577002424320 615469252608 618216883200 641113804800 659431342080 692402909184 706533580800 721253030400 732701491200 769336565760 791317610496 824289177600 854818406400 865503636480 923203878912 942044774400 961670707200 989147013120 1025782087680 1081879545600 1099052236800 1154004848640 1236433766400 1282227609600 1318862684160 1384805818368 1413067161600 1442506060800 1538673131520 1648578355200 1709636812800 1731007272960 1846407757824 1923341414400 1978294026240 2163759091200 2198104473600 2308009697280 2472867532800 2564455219200 2769611636736 2826134323200 2885012121600 3077346263040 3297156710400 3462014545920 3846682828800 3956588052480 4327518182400 4616019394560 4945735065600 5128910438400 5539223273472 5770024243200 6594313420800 6924029091840 7693365657600 8655036364800 9232038789120 9891470131200 11540048486400 13848058183680 15386731315200 17310072729600 19782940262400 23080096972800 27696116367360 34620145459200 46160193945600 69240290918400 138480581836800
- Sum of all divisors σ(n): 598464520584840
- Sum of proper divisors (its aliquot sum) s(n): 459983938748040
- 138480581836800 is an abundant number, because the sum of its proper divisors (459983938748040) is greater than itself. Its abundance is 321503356911240
Bases of 138480581836800
- Binary: 111110111110010100001011110001110000000000000002
- Hexadecimal: 0x7DF285E38000
- Base-36: 1D353MYO00
Squares and roots of 138480581836800
- 138480581836800 squared (1384805818368002) is 19176871545858662061834240000
- 138480581836800 cubed (1384805818368003) is 2655624329480081775779991894236332032000000
-
The
square root of 138480581836800 is 11767777.2683204707 -
The
cube root of 138480581836800 is 51736.4104233649
Scales and comparisons
How big is 138480581836800?- 138,480,581,836,800 seconds is equal to 4,403,254 years, 8 weeks.
-
To count from 1 to 138,480,581,836,800 would take you about eleven million, eight thousand, one hundred thirty-five 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 138480581836800 cubic inches would be around 4311.4 feet tall.
Recreational maths with 138480581836800
- 138480581836800 backwards is 008638185084831
- 138480581836800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138480581836800's digits is 63
- More coming soon!
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"Number 138480581836800 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 138480581836800 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138480581836800/
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The information we have on file for 138480581836800 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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