138307104
138,307,104 is an even composite number composed of six prime numbers multiplied together.
138307104 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138307104:
25 × 32 × 13 × 17 × 41 × 53
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 41 × 53)See below for interesting mathematical facts about the number 138307104 from the Numbermatics database.
Names of 138307104
- Cardinal: 138307104 can be written as One hundred thirty-eight million, three hundred seven thousand, one hundred four.
Scientific notation
- Scientific notation: 1.38307104 × 108
Factors of 138307104
Divisors of 138307104
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 41 48 51 52 53 68 72 78 82 96 102 104 106 117 123 136 144 153 156 159 164 204 208 212 221 234 246 272 288 306 312 318 328 369 408 416 424 442 468 477 492 533 544 612 624 636 656 663 689 697 738 816 848 884 901 936 954 984 1066 1224 1248 1272 1312 1326 1378 1394 1476 1599 1632 1696 1768 1802 1872 1908 1968 1989 2067 2091 2132 2173 2448 2544 2652 2703 2756 2788 2952 3198 3536 3604 3744 3816 3936 3978 4134 4182 4264 4346 4797 4896 5088 5304 5406 5512 5576 5904 6201 6273 6396 6519 7072 7208 7632 7956 8109 8268 8364 8528 8692 9061 9594 10608 10812 11024 11152 11713 11808 12402 12546 12792 13038 14416 15264 15912 16218 16536 16728 17056 17384 18122 19188 19557 21216 21624 22048 22304 23426 24804 25092 25584 26076 27183 28249 28832 31824 32436 33072 33456 34768 35139 36244 36941 38376 39114 43248 46852 49608 50184 51168 52152 54366 56498 63648 64872 66144 66912 69536 70278 72488 73882 76752 78228 81549 84747 86496 93704 99216 100368 104304 105417 108732 110823 112996 129744 140556 144976 147764 153504 156456 163098 169494 187408 198432 200736 208608 210834 217464 221646 225992 254241 259488 281112 289952 295528 312912 326196 332469 338988 374816 421668 434928 443292 451984 480233 508482 562224 591056 625824 652392 664938 677976 843336 869856 886584 903968 960466 1016964 1124448 1182112 1304784 1329876 1355952 1440699 1686672 1773168 1920932 2033928 2609568 2659752 2711904 2881398 3373344 3546336 3841864 4067856 4322097 5319504 5762796 7683728 8135712 8644194 10639008 11525592 15367456 17288388 23051184 34576776 46102368 69153552 138307104
- Sum of all divisors σ(n): 468087984
- Sum of proper divisors (its aliquot sum) s(n): 329780880
- 138307104 is an abundant number, because the sum of its proper divisors (329780880) is greater than itself. Its abundance is 191473776
Bases of 138307104
- Binary: 10000011111001100110001000002
- Hexadecimal: 0x83E6620
- Base-36: 2ACEG0
Squares and roots of 138307104
- 138307104 squared (1383071042) is 19128855016866816
- 138307104 cubed (1383071043) is 2645656540218720474660864
-
The
square root of 138307104 is 11760.4040746907 -
The
cube root of 138307104 is 517.1479759545
Scales and comparisons
How big is 138307104?- 138,307,104 seconds is equal to 4 years, 20 weeks, 4 days, 18 hours, 38 minutes, 24 seconds.
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To count from 1 to 138,307,104 would take you about six 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 138307104 cubic inches would be around 43.1 feet tall.
Recreational maths with 138307104
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