138509321420800
138,509,321,420,800 is an even composite number composed of six prime numbers multiplied together.
138509321420800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138509321420800:
214 × 52 × 11 × 17 × 23 × 78623
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 17 × 23 × 78623)See below for interesting mathematical facts about the number 138509321420800 from the Numbermatics database.
Names of 138509321420800
- Cardinal: 138509321420800 can be written as One hundred thirty-eight trillion, five hundred nine billion, three hundred twenty-one million, four hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.385093214208 × 1014
Factors of 138509321420800
Divisors of 138509321420800
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 23 25 32 34 40 44 46 50 55 64 68 80 85 88 92 100 110 115 128 136 160 170 176 184 187 200 220 230 253 256 272 275 320 340 352 368 374 391 400 425 440 460 506 512 544 550 575 640 680 704 736 748 782 800 850 880 920 935 1012 1024 1088 1100 1150 1265 1280 1360 1408 1472 1496 1564 1600 1700 1760 1840 1870 1955 2024 2048 2176 2200 2300 2530 2560 2720 2816 2944 2992 3128 3200 3400 3520 3680 3740 3910 4048 4096 4301 4352 4400 4600 4675 5060 5120 5440 5632 5888 5984 6256 6325 6400 6800 7040 7360 7480 7820 8096 8192 8602 8704 8800 9200 9350 9775 10120 10240 10880 11264 11776 11968 12512 12650 12800 13600 14080 14720 14960 15640 16192 16384 17204 17408 17600 18400 18700 19550 20240 20480 21505 21760 22528 23552 23936 25024 25300 25600 27200 28160 29440 29920 31280 32384 34408 34816 35200 36800 37400 39100 40480 40960 43010 43520 45056 47104 47872 50048 50600 51200 54400 56320 58880 59840 62560 64768 68816 69632 70400 73600 74800 78200 78623 80960 81920 86020 87040 90112 94208 95744 100096 101200 102400 107525 108800 112640 117760 119680 125120 129536 137632 139264 140800 147200 149600 156400 157246 161920 172040 174080 180224 188416 191488 200192 202400 204800 215050 217600 225280 235520 239360 250240 259072 275264 278528 281600 294400 299200 312800 314492 323840 344080 348160 376832 382976 393115 400384 404800 409600 430100 435200 450560 471040 478720 500480 518144 550528 563200 588800 598400 625600 628984 647680 688160 696320 765952 786230 800768 809600 860200 864853 870400 901120 942080 957440 1000960 1036288 1101056 1126400 1177600 1196800 1251200 1257968 1295360 1336591 1376320 1392640 1531904 1572460 1601536 1619200 1720400 1729706 1740800 1808329 1884160 1914880 1965575 2001920 2072576 2202112 2252800 2355200 2393600 2502400 2515936 2590720 2673182 2752640 3063808 3144920 3203072 3238400 3440800 3459412 3481600 3616658 3829760 3931150 4003840 4145152 4324265 4404224 4505600 4710400 4787200 5004800 5031872 5181440 5346364 5505280 6289840 6406144 6476800 6682955 6881600 6918824 6963200 7233316 7659520 7862300 8007680 8648530 8808448 9041645 9420800 9574400 10009600 10063744 10362880 10692728 11010560 12579680 12953600 13365910 13763200 13837648 14466632 14702501 15319040 15724600 16015360 17297060 17616896 18083290 19148800 19891619 20019200 20127488 20725760 21385456 21621325 22021120 25159360 25907200 26731820 27526400 27675296 28933264 29405002 30741593 31449200 32030720 33414775 34594120 35233792 36166580 38297600 39783238 40038400 40254976 42770912 43242650 44042240 45208225 50318720 51814400 53463640 55052800 55350592 57866528 58810004 61483186 62898400 66829550 69188240 70467584 72333160 73512505 76595200 79566476 80076800 80509952 85541824 86485300 88084480 90416450 99458095 100637440 103628800 106927280 110105600 110701184 115733056 117620008 122966372 125796800 133659100 138376480 144666320 147025010 153707965 159132952 160153600 161019904 171083648 172970600 176168960 180832900 198916190 201274880 213854560 220211200 221402368 231466112 235240016 245932744 251593600 267318200 276752960 289332640 294050020 307415930 318265904 322039808 338157523 342167296 345941200 352337920 361665800 367562525 397832380 402549760 427709120 440422400 442804736 462932224 470480032 491865488 497290475 503187200 534636400 553505920 578665280 588100040 614831860 636531808 644079616 676315046 684334592 691882400 723331600 735125050 768539825 795664760 805099520 855418240 880844800 885609472 925864448 940960064 983730976 994580950 1006374400 1069272800 1107011840 1157330560 1176200080 1229663720 1273063616 1288159232 1352630092 1368669184 1383764800 1446663200 1470250100 1537079650 1591329520 1610199040 1690787615 1710836480 1761689600 1771218944 1851728896 1881920128 1967461952 1989161900 2012748800 2138545600 2214023680 2314661120 2352400160 2459327440 2546127232 2705260184 2737338368 2767529600 2893326400 2940500200 3074159300 3182659040 3220398080 3381575230 3421672960 3542437888 3703457792 3763840256 3934923904 3978323800 4025497600 4277091200 4428047360 4629322240 4704800320 4918654880 5092254464 5410520368 5474676736 5535059200 5786652800 5881000400 6148318600 6365318080 6440796160 6763150460 6843345920 7084875776 7406915584 7527680512 7869847808 7956647600 8050995200 8453938075 8554182400 8856094720 9258644480 9409600640 9837309760 10184508928 10821040736 10949353472 11070118400 11573305600 11762000800 12296637200 12730636160 13526300920 13686691840 14169751552 14813831168 15055361024 15739695616 15913295200 16101990400 16907876150 17108364800 17712189440 18517288960 18819201280 19674619520 20369017856 21642081472 21898706944 22140236800 23146611200 23524001600 24593274400 25461272320 27052601840 27373383680 29627662336 30110722048 31479391232 31826590400 32203980800 33815752300 34216729600 35424378880 37034577920 37638402560 39349239040 40738035712 43284162944 44280473600 46293222400 47048003200 49186548800 50922544640 54105203680 54746767360 60221444096 62958782464 63653180800 67631504600 68433459200 70848757760 74069155840 75276805120 78698478080 81476071424 86568325888 88560947200 92586444800 94096006400 98373097600 101845089280 108210407360 109493534720 120442888192 125917564928 127306361600 135263009200 136866918400 148138311680 150553610240 157396956160 162952142848 173136651776 177121894400 185172889600 188192012800 196746195200 203690178560 216420814720 240885776384 251835129856 254612723200 270526018400 273733836800 301107220480 314793912320 325904285696 346273303552 354243788800 370345779200 376384025600 393492390400 407380357120 432841629440 503670259712 509225446400 541052036800 547467673600 602214440960 629587824640 692546607104 740691558400 752768051200 786984780800 814760714240 865683258880 1018450892800 1082104073600 1204428881920 1259175649280 1385093214208 1505536102400 1573969561600 1629521428480 1731366517760 2036901785600 2164208147200 2518351298560 2770186428416 3011072204800 3147939123200 3462733035520 4073803571200 4328416294400 5540372856832 6022144409600 6295878246400 6925466071040 8147607142400 8656832588800 12591756492800 13850932142080 17313665177600 27701864284160 34627330355200 69254660710400 138509321420800
- Sum of all divisors σ(n): 414017313196032
- Sum of proper divisors (its aliquot sum) s(n): 275507991775232
- 138509321420800 is an abundant number, because the sum of its proper divisors (275507991775232) is greater than itself. Its abundance is 136998670354432
Bases of 138509321420800
- Binary: 111110111111001001101101110011011000000000000002
- Hexadecimal: 0x7DF936E6C000
- Base-36: 1D3IAXROXS
Squares and roots of 138509321420800
- 138509321420800 squared (1385093214208002) is 19184832120450485730672640000
- 138509321420800 cubed (1385093214208003) is 2657278078575564348961220635144486912000000
-
The
square root of 138509321420800 is 11768998.3184976279 -
The
cube root of 138509321420800 is 51739.9892164955
Scales and comparisons
How big is 138509321420800?- 138,509,321,420,800 seconds is equal to 4,404,167 years, 51 weeks, 1 day, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 138,509,321,420,800 would take you about eleven million, ten thousand, four hundred nineteen 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 138509321420800 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138509321420800
- 138509321420800 backwards is 008024123905831
- 138509321420800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138509321420800's digits is 46
- More coming soon!
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The information we have on file for 138509321420800 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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