138042688329
138,042,688,329 is an odd composite number composed of five prime numbers multiplied together.
138042688329 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138042688329:
32 × 72 × 133 × 173 × 29
(3 × 3 × 7 × 7 × 13 × 13 × 13 × 17 × 17 × 17 × 29)See below for interesting mathematical facts about the number 138042688329 from the Numbermatics database.
Names of 138042688329
- Cardinal: 138042688329 can be written as One hundred thirty-eight billion, forty-two million, six hundred eighty-eight thousand, three hundred twenty-nine.
Scientific notation
- Scientific notation: 1.38042688329 × 1011
Factors of 138042688329
Divisors of 138042688329
- Number of divisors d(n): 288
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Complete list of divisors:
1 3 7 9 13 17 21 29 39 49 51 63 87 91 117 119 147 153 169 203 221 261 273 289 357 377 441 493 507 609 637 663 819 833 867 1071 1131 1183 1421 1479 1521 1547 1827 1911 1989 2023 2197 2499 2601 2639 2873 3393 3451 3549 3757 4263 4437 4641 4901 4913 5733 6069 6409 6591 7497 7917 8281 8381 8619 10353 10647 10829 11271 12789 13923 14161 14703 14739 15379 18207 18473 19227 19773 20111 23751 24157 24843 25143 25857 26299 31059 32487 33813 34307 34391 37349 42483 44109 44217 44863 46137 48841 55419 57681 58667 60333 63713 63869 72471 74529 75429 78897 83317 97461 102921 103173 107653 108953 112047 127449 134589 138411 140777 142477 146523 166257 176001 180999 184093 191139 191607 217413 236691 240149 240737 249951 261443 308763 309519 314041 322959 326859 336141 341887 403767 410669 422331 427431 439569 445991 447083 528003 552279 573417 574821 583219 634933 720447 722211 749853 762671 784329 830297 942123 968877 980577 997339 1025661 1083121 1232007 1266993 1282293 1337973 1341249 1416389 1656837 1749657 1830101 1852201 1904799 2161341 2166633 2288013 2352987 2393209 2490891 2826369 2992017 3076983 3121937 3129581 3249363 3696021 4013919 4023747 4082533 4249167 4444531 5248971 5338697 5490303 5556603 5714397 5812079 6864039 6981373 7179627 7472673 7581847 8976051 9365811 9388743 9748089 9914723 10793861 12247599 12747501 12965407 13333593 16016091 16470909 16669809 17436237 18413057 20944119 21538881 22745541 24078613 28097433 28166229 29744169 31111717 32381583 36742797 38896221 40000779 40684553 48048273 52308711 53072929 55239171 62832357 68236623 69403061 72235839 75557027 89232507 90757849 93335151 97144749 116688663 122053659 128891399 159218787 165717513 168550291 208209183 216707517 226671081 272273547 280005453 313021969 366160977 386674197 477656361 505650873 528899189 624627549 680013243 816820641 902239793 939065907 1160022591 1179852037 1516952619 1586697567 2191153783 2706719379 2817197721 3539556111 4760092701 6573461349 8120158137 10618668333 15338076481 19720384047 46014229443 138042688329
- Sum of all divisors σ(n): 276176628000
- Sum of proper divisors (its aliquot sum) s(n): 138133939671
- 138042688329 is an abundant number, because the sum of its proper divisors (138133939671) is greater than itself. Its abundance is 91251342
Bases of 138042688329
- Binary: 100000001000111111110001000011010010012
- Hexadecimal: 0x2023FC4349
- Base-36: 1REZ1W09
Squares and roots of 138042688329
- 138042688329 squared (1380426883292) is 19055783801097432812241
- 138042688329 cubed (1380426883293) is 2630511624119699845862202339035289
-
The
square root of 138042688329 is 371540.9645368865 -
The
cube root of 138042688329 is 5168.1820435931
Scales and comparisons
How big is 138042688329?- 138,042,688,329 seconds is equal to 4,389 years, 17 weeks, 1 day, 7 hours, 12 minutes, 9 seconds.
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To count from 1 to 138,042,688,329 would take you about eight thousand, seven hundred seventy-eight 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 138042688329 cubic inches would be around 430.7 feet tall.
Recreational maths with 138042688329
- 138042688329 backwards is 923886240831
- The number of decimal digits it has is: 12
- The sum of 138042688329's digits is 54
- More coming soon!
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