138436386940800
138,436,386,940,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138436386940800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
138436386940800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138436386940800:
27 × 35 × 52 × 13 × 29 × 181 × 2609
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 29 × 181 × 2609)See below for interesting mathematical facts about the number 138436386940800 from the Numbermatics database.
Names of 138436386940800
- Cardinal: 138436386940800 can be written as One hundred thirty-eight trillion, four hundred thirty-six billion, three hundred eighty-six million, nine hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.384363869408 × 1014
Factors of 138436386940800
Divisors of 138436386940800
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 29 30 32 36 39 40 45 48 50 52 54 58 60 64 65 72 75 78 80 81 87 90 96 100 104 108 116 117 120 128 130 135 144 145 150 156 160 162 174 180 181 192 195 200 208 216 225 232 234 240 243 260 261 270 288 290 300 312 320 324 325 348 351 360 362 377 384 390 400 405 416 432 435 450 464 468 480 486 520 522 540 543 576 580 585 600 624 640 648 650 675 696 702 720 724 725 754 780 783 800 810 832 864 870 900 905 928 936 960 972 975 1040 1044 1053 1080 1086 1131 1152 1160 1170 1200 1215 1248 1296 1300 1305 1350 1392 1404 1440 1448 1450 1508 1560 1566 1600 1620 1629 1664 1728 1740 1755 1800 1810 1856 1872 1885 1920 1944 1950 2025 2080 2088 2106 2160 2172 2175 2262 2320 2340 2349 2353 2400 2430 2496 2592 2600 2609 2610 2700 2715 2784 2808 2880 2896 2900 2925 3016 3120 3132 3159 3200 3240 3258 3393 3456 3480 3510 3600 3620 3712 3744 3770 3888 3900 3915 4050 4160 4176 4212 4320 4344 4350 4524 4525 4640 4680 4698 4706 4800 4860 4887 4992 5184 5200 5218 5220 5249 5265 5400 5430 5568 5616 5655 5760 5792 5800 5850 6032 6075 6240 6264 6318 6480 6516 6525 6786 6960 7020 7047 7059 7200 7240 7488 7540 7776 7800 7827 7830 8100 8145 8320 8352 8424 8640 8688 8700 8775 9048 9050 9280 9360 9396 9412 9425 9600 9720 9774 10179 10368 10400 10436 10440 10498 10530 10800 10860 11136 11232 11310 11584 11600 11700 11745 11765 12064 12150 12480 12528 12636 12960 13032 13045 13050 13572 13575 13920 14040 14094 14118 14400 14480 14661 14976 15080 15552 15600 15654 15660 15747 15795 16200 16290 16704 16848 16965 17280 17376 17400 17550 18096 18100 18560 18720 18792 18824 18850 19440 19548 19575 20358 20800 20872 20880 20996 21060 21177 21600 21720 22464 22620 23168 23200 23400 23481 23490 23530 24128 24300 24435 24960 25056 25272 25920 26064 26090 26100 26245 26325 27144 27150 27840 28080 28188 28236 28275 28800 28960 29322 30160 30537 31104 31200 31308 31320 31494 31590 32400 32580 33408 33696 33917 33930 34752 34800 35100 35235 35295 36192 36200 37440 37584 37648 37700 38880 39096 39135 39150 40716 40725 41600 41744 41760 41992 42120 42354 43200 43440 43983 44928 45240 46400 46800 46962 46980 47060 47241 48256 48600 48870 50112 50544 50895 51840 52128 52180 52200 52490 52650 54288 54300 55680 56160 56376 56472 56550 57920 58644 58725 58825 60320 61074 62400 62616 62640 62988 63180 63531 64800 65160 65225 67392 67834 67860 68237 69504 69600 70200 70443 70470 70590 72384 72400 73305 74880 75168 75296 75400 75661 77760 78192 78270 78300 78735 78975 81432 81450 83488 83520 83984 84240 84708 84825 86400 86880 87966 90480 91611 92800 93600 93924 93960 94120 94482 97200 97740 100224 101088 101751 101790 104256 104360 104400 104980 105300 105885 108576 108600 112320 112752 112944 113100 115840 117288 117405 117450 117650 120640 122148 122175 124800 125232 125280 125976 126360 127062 129600 130320 130450 131225 134784 135668 135720 136474 139200 140400 140886 140940 141180 141723 144768 144800 146610 150336 150592 150800 151322 152685 155520 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132601903200 133111910520 141986037888 142424266400 144204569730 147902122800 149177141100 152968383360 153818207712 159122283840 160227299700 166389888150 170909119680 173045483676 176802537600 177482547360 183602635200 190946740608 191210479200 192272759640 197202830400 198902854800 205090943616 212979056832 213636399600 216306854595 221853184200 230727311568 236643396480 238683425760 240340949550 254947305600 256363679520 265203806400 266223821040 284848532800 288409139460 295804245600 298354282200 307636415424 318244567680 320454599400 332779776300 341818239360 346090967352 354965094720 360511424325 367205270400 382420958400 384545519280 394405660800 397805709600 425958113664 427272799200 432613709190 443706368400 461454623136 477366851520 480681899100 512727359040 530407612800 532447642080 569697065600 576818278920 591608491200 596708564400 615272830848 640909198800 665559552600 692181934704 709930189440 721022848650 764841916800 769091038560 795611419200 854545598400 865227418380 887412736800 922909246272 954733703040 961363798200 1025454718080 1064895284160 1081534272975 1153636557840 1183216982400 1193417128800 1281818397600 1331119105200 1384363869408 1442045697300 1538182077120 1591222838400 1709091196800 1730454836760 1774825473600 1845818492544 1922727596400 2129790568320 2163068545950 2307273115680 2386834257600 2563636795200 2662238210400 2768727738816 2884091394600 3076364154240 3460909673520 3549650947200 3845455192800 4326137091900 4614546231360 4773668515200 5127273590400 5324476420800 5537455477632 5768182789200 6921819347040 7690910385600 8652274183800 9229092462720 10648952841600 11536365578400 13843638694080 15381820771200 17304548367600 23072731156800 27687277388160 34609096735200 46145462313600 69218193470400 138436386940800
- Sum of all divisors σ(n): 574069460328000
- Sum of proper divisors (its aliquot sum) s(n): 435633073387200
- 138436386940800 is an abundant number, because the sum of its proper divisors (435633073387200) is greater than itself. Its abundance is 297196686446400
Bases of 138436386940800
- Binary: 111110111101000001110111010101011100111100000002
- Hexadecimal: 0x7DE83BAAE780
- Base-36: 1D2KSQGO00
Squares and roots of 138436386940800
- 138436386940800 squared (1384363869408002) is 19164633229222900782704640000
- 138436386940800 cubed (1384363869408003) is 2653082581299214914847106723399565312000000
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The
square root of 138436386940800 is 11765899.3256274293 -
The
cube root of 138436386940800 is 51730.9060931349
Scales and comparisons
How big is 138436386940800?- 138,436,386,940,800 seconds is equal to 4,401,848 years, 46 weeks, 3 days.
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To count from 1 to 138,436,386,940,800 would take you about eleven million, four thousand, six hundred twenty-two 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 138436386940800 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138436386940800
- 138436386940800 backwards is 008049683634831
- The number of decimal digits it has is: 15
- The sum of 138436386940800's digits is 63
- More coming soon!
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The information we have on file for 138436386940800 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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