138135534141440
138,135,534,141,440 is an even composite number composed of four prime numbers multiplied together.
138135534141440 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138135534141440:
215 × 5 × 112 × 1913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 11 × 191 × 191 × 191)See below for interesting mathematical facts about the number 138135534141440 from the Numbermatics database.
Names of 138135534141440
- Cardinal: 138135534141440 can be written as One hundred thirty-eight trillion, one hundred thirty-five billion, five hundred thirty-four million, one hundred forty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3813553414144 × 1014
Factors of 138135534141440
Divisors of 138135534141440
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 191 220 242 256 320 352 382 440 484 512 605 640 704 764 880 955 968 1024 1210 1280 1408 1528 1760 1910 1936 2048 2101 2420 2560 2816 3056 3520 3820 3872 4096 4202 4840 5120 5632 6112 7040 7640 7744 8192 8404 9680 10240 10505 11264 12224 14080 15280 15488 16384 16808 19360 20480 21010 22528 23111 24448 28160 30560 30976 32768 33616 36481 38720 40960 42020 45056 46222 48896 56320 61120 61952 67232 72962 77440 81920 84040 90112 92444 97792 112640 115555 122240 123904 134464 145924 154880 163840 168080 180224 182405 184888 195584 225280 231110 244480 247808 268928 291848 309760 336160 360448 364810 369776 391168 401291 450560 462220 488960 495616 537856 583696 619520 672320 729620 739552 782336 802582 901120 924440 977920 991232 1075712 1167392 1239040 1344640 1459240 1479104 1564672 1605164 1802240 1848880 1955840 1982464 2006455 2151424 2334784 2478080 2689280 2918480 2958208 3129344 3210328 3697760 3911680 3964928 4012910 4302848 4414201 4669568 4956160 5378560 5836960 5916416 6258688 6420656 6967871 7395520 7823360 8025820 8605696 8828402 9339136 9912320 10757120 11673920 11832832 12841312 13935742 14791040 15646720 16051640 17211392 17656804 18678272 19824640 21514240 22071005 23347840 23665664 25682624 27871484 29582080 31293440 32103280 34422784 34839355 35313608 37356544 43028480 44142010 46695680 47331328 51365248 55742968 59164160 64206560 68845568 69678710 70627216 74713088 76646581 86056960 88284020 93391360 94662656 102730496 111485936 118328320 128413120 139357420 141254432 149426176 153293162 172113920 176568040 186782720 189325312 205460992 222971872 236656640 256826240 278714840 282508864 298852352 306586324 344227840 353136080 373565440 378650624 383232905 410921984 445943744 473313280 513652480 557429680 565017728 597704704 613172648 706272160 747130880 757301248 766465810 821843968 843112391 891887488 946626560 1027304960 1114859360 1130035456 1195409408 1226345296 1412544320 1494261760 1532931620 1643687936 1686224782 1783774976 1893253120 2054609920 2229718720 2260070912 2452690592 2825088640 2988523520 3065863240 3287375872 3372449564 3567549952 3786506240 4109219840 4215561955 4459437440 4520141824 4905381184 5650177280 5977047040 6131726480 6574751744 6744899128 7135099904 8218439680 8431123910 8918874880 9040283648 9810762368 11300354560 12263452960 13149503488 13489798256 14270199808 16436879360 16862247820 17837749760 18080567296 19621524736 22600709120 24526905920 26979596512 28540399616 32873758720 33724495640 35675499520 36161134592 39243049472 45201418240 49053811840 53959193024 57080799232 65747517440 67448991280 71350999040 72322269184 78486098944 90402836480 98107623680 107918386048 114161598464 134897982560 142701998080 144644538368 156972197888 180805672960 196215247360 215836772096 228323196928 269795965120 285403996160 313944395776 361611345920 392430494720 431673544192 539591930240 570807992320 627888791552 723222691840 784860989440 863347088384 1079183860480 1141615984640 1255777583104 1569721978880 1726694176768 2158367720960 2511555166208 3139443957760 3453388353536 4316735441920 6278887915520 6906776707072 8633470883840 12557775831040 13813553414144 17266941767680 27627106828288 34533883535360 69067767070720 138135534141440
- Sum of all divisors σ(n): 366316147249920
- Sum of proper divisors (its aliquot sum) s(n): 228180613108480
- 138135534141440 is an abundant number, because the sum of its proper divisors (228180613108480) is greater than itself. Its abundance is 90045078967040
Bases of 138135534141440
- Binary: 111110110100010001011110111000110000000000000002
- Hexadecimal: 0x7DA22F718000
- Base-36: 1CYQL6H2BK
Squares and roots of 138135534141440
- 138135534141440 squared (1381355341414402) is 19081425792540935877925273600
- 138135534141440 cubed (1381355341414403) is 2635822944032892258453956451405853097984000
-
The
square root of 138135534141440 is 11753107.4249085293 -
The
cube root of 138135534141440 is 51693.4046911983
Scales and comparisons
How big is 138135534141440?- 138,135,534,141,440 seconds is equal to 4,392,282 years, 36 weeks, 4 days, 9 hours, 57 minutes, 20 seconds.
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To count from 1 to 138,135,534,141,440 would take you about ten million, nine hundred eighty thousand, seven hundred six 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 138135534141440 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138135534141440
- 138135534141440 backwards is 044141435531831
- The number of decimal digits it has is: 15
- The sum of 138135534141440's digits is 47
- More coming soon!
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