138517139142144
138,517,139,142,144 is an even composite number composed of four prime numbers multiplied together.
What does the number 138517139142144 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1280 divisors.
138517139142144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138517139142144:
29 × 33 × 77 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 23 × 23 × 23)See below for interesting mathematical facts about the number 138517139142144 from the Numbermatics database.
Names of 138517139142144
- Cardinal: 138517139142144 can be written as One hundred thirty-eight trillion, five hundred seventeen billion, one hundred thirty-nine million, one hundred forty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.38517139142144 × 1014
Factors of 138517139142144
Divisors of 138517139142144
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 49 54 56 63 64 69 72 84 92 96 98 108 112 126 128 138 144 147 161 168 184 189 192 196 207 216 224 252 256 276 288 294 322 336 343 368 378 384 392 414 432 441 448 483 504 512 529 552 576 588 621 644 672 686 736 756 768 784 828 864 882 896 966 1008 1029 1058 1104 1127 1152 1176 1242 1288 1323 1344 1372 1449 1472 1512 1536 1568 1587 1656 1728 1764 1792 1932 2016 2058 2116 2208 2254 2304 2352 2401 2484 2576 2646 2688 2744 2898 2944 3024 3087 3136 3174 3312 3381 3456 3528 3584 3703 3864 4032 4116 4232 4347 4416 4508 4608 4704 4761 4802 4968 5152 5292 5376 5488 5796 5888 6048 6174 6272 6348 6624 6762 6912 7056 7203 7406 7728 7889 8064 8232 8464 8694 8832 9016 9261 9408 9522 9604 9936 10143 10304 10584 10752 10976 11109 11592 11776 12096 12167 12348 12544 12696 13248 13524 13824 14112 14283 14406 14812 15456 15778 16128 16464 16807 16928 17388 17664 18032 18522 18816 19044 19208 19872 20286 20608 21168 21609 21952 22218 23184 23667 24192 24334 24696 25088 25392 25921 26496 27048 28224 28566 28812 29624 30429 30912 31556 32256 32928 33327 33614 33856 34776 35328 36064 36501 37044 37632 38088 38416 39744 40572 41216 42336 43218 43904 44436 46368 47334 48384 48668 49392 50421 50784 51842 52992 54096 55223 56448 57132 57624 59248 60858 61824 63112 64827 65856 66654 67228 67712 69552 71001 72128 73002 74088 75264 76176 76832 77763 79488 81144 82432 84672 85169 86436 87808 88872 92736 94668 96768 97336 98784 99981 100842 101568 103684 105984 108192 109503 110446 112896 114264 115248 117649 118496 121716 123648 126224 129654 131712 133308 134456 135424 139104 142002 144256 146004 148176 151263 152352 153664 155526 158976 162288 165669 169344 170338 172872 175616 177744 181447 185472 189336 194672 197568 199962 201684 203136 207368 213003 216384 219006 220892 225792 228528 230496 233289 235298 236992 243432 247296 252448 255507 259308 263424 266616 268912 270848 278208 284004 288512 292008 296352 302526 304704 307328 311052 317952 324576 328509 331338 338688 340676 345744 352947 355488 362894 370944 378672 386561 389344 395136 399924 403368 406272 414736 426006 432768 438012 441784 453789 457056 460992 466578 470596 473984 486864 497007 504896 511014 518616 526848 533232 537824 544341 556416 568008 577024 584016 592704 596183 605052 609408 614656 622104 649152 657018 662676 677376 681352 691488 699867 705894 710976 725788 741888 757344 766521 773122 778688 790272 799848 806736 812544 823543 829472 852012 865536 876024 883568 907578 914112 921984 933156 941192 947968 973728 994014 1009792 1022028 1037232 1058841 1066464 1075648 1088682 1112832 1136016 1159683 1168032 1185408 1192366 1210104 1218816 1229312 1244208 1270129 1298304 1314036 1325352 1362704 1382976 1399734 1411788 1421952 1451576 1491021 1514688 1533042 1546244 1557376 1580544 1599696 1613472 1633023 1647086 1658944 1704024 1731072 1752048 1767136 1788549 1815156 1828224 1843968 1866312 1882384 1895936 1947456 1988028 2019584 2044056 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138517139142144
- Sum of all divisors σ(n): 500098705920000
- Sum of proper divisors (its aliquot sum) s(n): 361581566777856
- 138517139142144 is an abundant number, because the sum of its proper divisors (361581566777856) is greater than itself. Its abundance is 223064427635712
Bases of 138517139142144
- Binary: 111110111111011000010001101111110110110000000002
- Hexadecimal: 0x7DFB08DFB600
- Base-36: 1D3LW88LC0
Squares and roots of 138517139142144
- 138517139142144 squared (1385171391421442) is 19186997836124081432236916736
- 138517139142144 cubed (1385171391421443) is 2657728048986415229414501507555822596521984
-
The
square root of 138517139142144 is 11769330.4457876447 -
The
cube root of 138517139142144 is 51740.9626316275
Scales and comparisons
How big is 138517139142144?- 138,517,139,142,144 seconds is equal to 4,404,416 years, 29 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,517,139,142,144 would take you about eleven million, eleven thousand and forty-one 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 138517139142144 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138517139142144
- 138517139142144 backwards is 441241931715831
- 138517139142144 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138517139142144's digits is 54
- More coming soon!
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The information we have on file for 138517139142144 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!
Keywords: Divisors of 138517139142144, math, Factors of 138517139142144, curriculum, school, college, exams, university, Prime factorization of 138517139142144, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred seventeen billion, one hundred thirty-nine million, one hundred forty-two thousand, one hundred forty-four.