138838731617872000
138,838,731,617,872,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138838731617872000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2880 divisors.
138838731617872000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138838731617872000:
27 × 53 × 112 × 13 × 174 × 2572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 13 × 17 × 17 × 17 × 17 × 257 × 257)See below for interesting mathematical facts about the number 138838731617872000 from the Numbermatics database.
Names of 138838731617872000
- Cardinal: 138838731617872000 can be written as One hundred thirty-eight quadrillion, eight hundred thirty-eight trillion, seven hundred thirty-one billion, six hundred seventeen million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.38838731617872 × 1017
Factors of 138838731617872000
Divisors of 138838731617872000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 17 20 22 25 26 32 34 40 44 50 52 55 64 65 68 80 85 88 100 104 110 121 125 128 130 136 143 160 170 176 187 200 208 220 221 242 250 257 260 272 275 286 289 320 325 340 352 374 400 416 425 440 442 484 500 514 520 544 550 572 578 605 640 650 680 704 715 748 800 832 850 880 884 935 968 1000 1028 1040 1088 1100 1105 1144 1156 1210 1285 1300 1360 1375 1408 1430 1445 1496 1573 1600 1625 1664 1700 1760 1768 1870 1936 2000 2056 2057 2080 2125 2176 2200 2210 2288 2312 2420 2431 2570 2600 2720 2750 2827 2860 2890 2992 3025 3146 3179 3200 3250 3341 3400 3520 3536 3575 3740 3757 3872 4000 4112 4114 4160 4250 4369 4400 4420 4576 4624 4675 4840 4862 4913 5140 5200 5440 5500 5525 5654 5720 5780 5984 6050 6292 6358 6425 6500 6682 6800 7040 7072 7150 7225 7480 7514 7744 7865 8000 8224 8228 8320 8500 8738 8800 8840 9152 9248 9350 9680 9724 9826 10280 10285 10400 10880 11000 11050 11308 11440 11560 11968 12100 12155 12584 12716 12850 13000 13364 13600 14135 14144 14300 14450 14960 15028 15125 15488 15730 15895 16000 16448 16456 16705 17000 17476 17600 17680 17875 18304 18496 18700 18785 19360 19448 19652 20560 20570 20800 21845 22000 22100 22616 22880 23120 23375 23936 24200 24310 24565 25168 25432 25700 26000 26728 26741 27200 27625 28270 28288 28600 28900 29920 30056 30250 31097 31460 31790 32125 32896 32912 33410 34000 34952 34969 35200 35360 35750 36125 36751 36992 37400 37570 38720 38896 39304 39325 41120 41140 41327 41600 43690 44000 44200 45232 45760 46240 46750 48059 48400 48620 49130 50336 50864 51400 51425 52000 53456 53482 54043 54400 55250 56540 56797 57200 57800 59840 60112 60500 60775 62194 62920 63580 63869 64250 65824 66049 66820 68000 69904 69938 70675 70720 71500 72250 73502 74273 74800 75140 77440 77792 78608 78650 79475 82240 82280 82654 83521 83525 87380 88000 88400 90464 91520 92480 93500 93925 96118 96800 97240 98260 100672 101728 102800 102850 104000 106912 106964 108086 109225 110500 113080 113594 114400 115600 119680 120224 121000 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48545011055200 49111684336000 50486811497408 51043651330100 53399512160720 54022852769600 57111777712000 57371376701600 60051354506000 60681263819000 62822955483200 63108514371760 63804564162625 65335873702528 66749390200900 67495737296000 67528565962000 69419365808936 71714220877000 74245311025600 78528694354000 78885642964700 81669842128160 83436737751125 85439219457152 86774207261170 88263656464000 92806638782000 96082167209600 97090022110400 98607053705875 100973622994816 102087302660200 106799024321440 108045705539200 114742753403200 120102709012000 121362527638000 125645910966400 126217028743520 127609128325250 133498780401800 135057131924000 138838731617872 143428441754000 148490622051200 157057388708000 157771285929400 163339684256320 166873475502250 173548414522340 185613277564000 194180044220800 197214107411750 204174605320400 213598048642880 216935518152925 229485506806400 240205418024000 242725055276000 252434057487040 255218256650500 266997560803600 270114263848000 277677463235744 286856883508000 314114777416000 315542571858800 326679368512640 333746951004500 347096829044680 371226555128000 394428214823500 408349210640800 427196097285760 433871036305850 480410836048000 485450110552000 504868114974080 510436513301000 533995121607200 540228527696000 555354926471488 573713767016000 628229554832000 631085143717600 667493902009000 694193658089360 742453110256000 788856429647000 816698421281600 867742072611700 970900221104000 1020873026602000 1067990243214400 1084677590764625 1110709852942976 1147427534032000 1262170287435200 1334987804018000 1388387316178720 1577712859294000 1633396842563200 1735484145223400 2041746053204000 2135980486428800 2169355181529250 2524340574870400 2669975608036000 2776774632357440 3155425718588000 3470968290446800 4083492106408000 4338710363058500 5339951216072000 5553549264714880 6310851437176000 6941936580893600 8166984212816000 8677420726117000 10679902432144000 12621702874352000 13883873161787200 17354841452234000 27767746323574400 34709682904468000 69419365808936000 138838731617872000
- Sum of all divisors σ(n): 435841070795905320
- Sum of proper divisors (its aliquot sum) s(n): 297002339178033320
- 138838731617872000 is an abundant number, because the sum of its proper divisors (297002339178033320) is greater than itself. Its abundance is 158163607560161320
Bases of 138838731617872000
- Binary: 1111011010100000100010111001111110010011000101000100000002
- Hexadecimal: 0x1ED41173F262880
- Base-36: 11Z280SFGK1S
Squares and roots of 138838731617872000
- 138838731617872000 squared (1388387316178720002) is 19276193397259490182629808384000000
- 138838731617872000 cubed (1388387316178720003) is 2676282241696306661414796556929565669838848000000000
-
The
square root of 138838731617872000 is 372610697.1329084105 -
The
cube root of 138838731617872000 is 517809.7366986269
Scales and comparisons
How big is 138838731617872000?- 138,838,731,617,872,000 seconds is equal to 4,414,642,209 years, 2 weeks, 5 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,838,731,617,872,000 would take you about thirteen billion, two hundred forty-three million, nine hundred twenty-six thousand, six hundred twenty-seven 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 138838731617872000 cubic inches would be around 43150.8 feet tall.
Recreational maths with 138838731617872000
- 138838731617872000 backwards is 000278716137838831
- The number of decimal digits it has is: 18
- The sum of 138838731617872000's digits is 73
- More coming soon!
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Cite this page
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"Number 138838731617872000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 138838731617872000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138838731617872000/
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Numbermatics. 2024. "Number 138838731617872000 - Facts about the integer". https://numbermatics.com/n/138838731617872000/
The information we have on file for 138838731617872000 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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