138328392768075
138,328,392,768,075 is an odd composite number composed of five prime numbers multiplied together.
138328392768075 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 138328392768075:
33 × 52 × 172 × 312 × 8592
(3 × 3 × 3 × 5 × 5 × 17 × 17 × 31 × 31 × 859 × 859)See below for interesting mathematical facts about the number 138328392768075 from the Numbermatics database.
Names of 138328392768075
- Cardinal: 138328392768075 can be written as One hundred thirty-eight trillion, three hundred twenty-eight billion, three hundred ninety-two million, seven hundred sixty-eight thousand and seventy-five.
Scientific notation
- Scientific notation: 1.38328392768075 × 1014
Factors of 138328392768075
Divisors of 138328392768075
- Number of divisors d(n): 324
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Complete list of divisors:
1 3 5 9 15 17 25 27 31 45 51 75 85 93 135 153 155 225 255 279 289 425 459 465 527 675 765 775 837 859 867 961 1275 1395 1445 1581 2295 2325 2577 2601 2635 2883 3825 4185 4295 4335 4743 4805 6975 7225 7731 7803 7905 8649 8959 11475 12885 13005 13175 14229 14415 14603 16337 20925 21475 21675 23193 23715 24025 25947 26629 26877 38655 39015 39525 43245 43809 44795 49011 64425 65025 71145 72075 73015 79887 80631 81685 115965 118575 129735 131427 133145 134385 147033 193275 195075 216225 219045 223975 239661 241893 245055 248251 277729 355725 365075 394281 399435 403155 408425 441099 452693 579825 648675 657135 665725 671925 718983 735165 737881 744753 825499 833187 1095225 1198305 1209465 1225275 1241255 1358079 1388645 1971405 1997175 2015775 2205495 2213643 2234259 2263465 2476497 2499561 3285675 3594915 3675825 3689405 3723765 4074237 4127495 4165935 5991525 6047325 6206275 6640929 6702777 6790395 6943225 7429491 7498683 7695781 9857025 11027475 11068215 11171295 11317325 12222711 12382485 12497805 12543977 14033483 17974575 18447025 18618825 19922787 20371185 20637475 20829675 22288473 22874311 23087343 33204645 33513885 33951975 37147455 37493415 37631931 38478905 42100449 55341075 55856475 61113555 61912425 62489025 62719885 68622933 69262029 70167415 99613935 101855925 111442365 112895793 114371555 115436715 126301347 166023225 167569425 185737275 187467075 188159655 192394525 205868799 207786087 210502245 213247609 238569211 305567775 313599425 338687379 343114665 346310145 350837075 378904041 388863287 498069675 557211825 564478965 571857775 577183575 617606397 631506735 639742827 709103641 715707633 940798275 1029343995 1038930435 1052511225 1066238045 1166589861 1192846055 1693436895 1715573325 1731550725 1894520205 1919228481 1944316435 2127310923 2147122899 2822394825 3088031985 3157533675 3198714135 3499769583 3545518205 3578538165 5146719975 5194652175 5331190225 5757685443 5832949305 5964230275 6381932769 6441368697 6610675879 8467184475 9472601025 9596142405 9721582175 10499308749 10636554615 10735614495 12054761897 15440159925 15993570675 17498847915 17727591025 17892690825 19145798307 19832027637 28788427215 29164746525 31909663845 32206843485 33053379395 36164285691 47980712025 52496543745 53182773075 53678072475 59496082911 60273809485 87494239575 95728991535 99160138185 108492857073 143942136075 159548319225 161034217425 165266896975 178488248733 180821428455 204930952249 262482718725 297480414555 301369047425 325478571219 478644957675 495800690925 542464285365 614792856747 892441243665 904107142275 1024654761245 1487402072775 1627392856095 1844378570241 2712321426825 3073964283735 4462206218325 5123273806225 5533135710723 8136964280475 9221892851205 15369821418675 27665678553615 46109464256025 138328392768075
- Sum of all divisors σ(n): 279255356412840
- Sum of proper divisors (its aliquot sum) s(n): 140926963644765
- 138328392768075 is an abundant number, because the sum of its proper divisors (140926963644765) is greater than itself. Its abundance is 2598570876690
Bases of 138328392768075
- Binary: 111110111001111000101101011011010011010010010112
- Hexadecimal: 0x7DCF16B69A4B
- Base-36: 1D176PIR0R
Squares and roots of 138328392768075
- 138328392768075 squared (1383283927680752) is 19134744245798823960739205625
- 138328392768075 cubed (1383283927680753) is 2646878417549522760572057159108370360421875
-
The
square root of 138328392768075 is 11761309.1434616665 -
The
cube root of 138328392768075 is 51717.4508403357
Scales and comparisons
How big is 138328392768075?- 138,328,392,768,075 seconds is equal to 4,398,415 years, 4 days, 10 hours, 41 minutes, 15 seconds.
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To count from 1 to 138,328,392,768,075 would take you about ten million, nine hundred ninety-six thousand and thirty-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 138328392768075 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138328392768075
- 138328392768075 backwards is 570867293823831
- The number of decimal digits it has is: 15
- The sum of 138328392768075's digits is 72
- More coming soon!
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