138009131393203125
138,009,131,393,203,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138009131393203125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
138009131393203125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138009131393203125:
34 × 57 × 112 × 312 × 372 × 137
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 31 × 31 × 37 × 37 × 137)See below for interesting mathematical facts about the number 138009131393203125 from the Numbermatics database.
Names of 138009131393203125
- Cardinal: 138009131393203125 can be written as One hundred thirty-eight quadrillion, nine trillion, one hundred thirty-one billion, three hundred ninety-three million, two hundred three thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38009131393203125 × 1017
Factors of 138009131393203125
Divisors of 138009131393203125
- Number of divisors d(n): 2160
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Complete list of divisors:
1 3 5 9 11 15 25 27 31 33 37 45 55 75 81 93 99 111 121 125 135 137 155 165 185 225 275 279 297 333 341 363 375 405 407 411 465 495 555 605 625 675 685 775 825 837 891 925 961 999 1023 1089 1125 1147 1221 1233 1369 1375 1395 1485 1507 1665 1705 1815 1875 2025 2035 2055 2325 2475 2511 2775 2883 2997 3025 3069 3125 3267 3375 3425 3441 3663 3699 3751 3875 4107 4125 4185 4247 4455 4477 4521 4625 4805 4995 5069 5115 5445 5625 5735 6105 6165 6845 6875 6975 7425 7535 8325 8525 8649 9075 9207 9375 9801 10125 10175 10275 10323 10571 10989 11097 11253 11625 12321 12375 12555 12617 12741 13431 13563 13875 14415 14985 15059 15125 15207 15345 15625 16335 16577 16875 17125 17205 18315 18495 18755 19375 20535 20625 20925 21235 22275 22385 22605 23125 24025 24975 25345 25575 25947 27225 27621 28125 28675 30525 30825 30969 31713 32967 33759 34225 34375 34875 35557 36963 37125 37675 37851 38223 40293 40689 41625 42439 42625 43245 45177 45375 45621 46035 46717 46875 49005 49731 50625 50875 51375 51615 52855 54945 55485 55759 56265 58125 61605 61875 62775 63085 63705 67155 67815 69375 72075 74925 75295 75625 76035 76725 77841 78125 81675 82885 84375 85625 86025 91575 92475 92907 93775 95139 96875 101277 102675 103125 104625 106175 106671 110889 111375 111925 113025 113553 114669 115625 116281 120125 120879 122067 124875 126725 127317 127875 129735 131657 135531 136125 136863 138105 138787 140151 140625 143375 149193 152625 154125 154845 157139 158565 164835 165649 167277 168795 171125 171875 174375 177785 184815 185625 187553 188375 189255 191115 201465 203445 208125 212195 213125 216225 225885 226875 228105 230175 233585 234375 245025 248655 253125 254375 256875 258075 264275 274725 277425 278795 281325 285417 290625 303831 308025 309375 313875 315425 318525 320013 335775 339075 340659 344007 346875 348843 360375 362637 374625 376475 378125 380175 381951 383625 389205 391127 394971 406593 408375 410589 414425 416361 420453 421875 428125 430125 447579 457875 462375 464535 466829 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143609918203125 149199060965625 154892403359375 164885461640625 167283795628125 178076298571875 201473184515625 204457972434375 220814610229125 228114266765625 248665101609375 278806326046875 296793830953125 335788640859375 339088774921875 340763287390625 368024350381875 380190444609375 404718860390625 414441836015625 464677210078125 494656384921875 501851386884375 613373917303125 745995304828125 836418978140625 890381492859375 1007365922578125 1022289862171875 1104073051145625 1140571333828125 1243325508046875 1394031630234375 1483969154765625 1703816436953125 1840121751909375 2509256934421875 3066869586515625 3729976524140625 4182094890703125 4451907464296875 5111449310859375 5520365255728125 9200608759546875 12546284672109375 15334347932578125 27601826278640625 46003043797734375 138009131393203125
- Sum of all divisors σ(n): 303010986392818704
- Sum of proper divisors (its aliquot sum) s(n): 165001854999615579
- 138009131393203125 is an abundant number, because the sum of its proper divisors (165001854999615579) is greater than itself. Its abundance is 26992723606412454
Bases of 138009131393203125
- Binary: 1111010100100111010010010111001000111001110111011101101012
- Hexadecimal: 0x1EA4E92E473BBB5
- Base-36: 11QW5JPHC2B9
Squares and roots of 138009131393203125
- 138009131393203125 squared (1380091313932031252) is 19046520347906404330077447509765625
- 138009131393203125 cubed (1380091313932031253) is 2628593729277531852101511083620851772785186767578125
-
The
square root of 138009131393203125 is 371495802.6589306231 -
The
cube root of 138009131393203125 is 516776.3230132943
Scales and comparisons
How big is 138009131393203125?- 138,009,131,393,203,125 seconds is equal to 4,388,263,488 years, 1 week, 4 days, 13 hours, 18 minutes, 45 seconds.
-
To count from 1 to 138,009,131,393,203,125 would take you about thirteen billion, one hundred sixty-four million, seven hundred ninety thousand, four hundred sixty-four 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 138009131393203125 cubic inches would be around 43064.7 feet tall.
Recreational maths with 138009131393203125
- 138009131393203125 backwards is 521302393131900831
- The number of decimal digits it has is: 18
- The sum of 138009131393203125's digits is 54
- More coming soon!
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"Number 138009131393203125 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 138009131393203125 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138009131393203125/
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The information we have on file for 138009131393203125 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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