138338928
138,338,928 is an even composite number composed of six prime numbers multiplied together.
138338928 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138338928:
24 × 35 × 7 × 13 × 17 × 23
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 13 × 17 × 23)See below for interesting mathematical facts about the number 138338928 from the Numbermatics database.
Names of 138338928
- Cardinal: 138338928 can be written as One hundred thirty-eight million, three hundred thirty-eight thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38338928 × 108
Factors of 138338928
Divisors of 138338928
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 23 24 26 27 28 34 36 39 42 46 48 51 52 54 56 63 68 69 72 78 81 84 91 92 102 104 108 112 117 119 126 136 138 144 153 156 161 162 168 182 184 189 204 207 208 216 221 234 238 243 252 272 273 276 299 306 312 322 324 336 351 357 364 368 378 391 408 414 432 442 459 468 476 483 486 504 546 552 567 598 612 621 624 644 648 663 702 714 728 756 782 816 819 828 884 897 918 936 952 966 972 1008 1053 1071 1092 1104 1134 1173 1196 1224 1242 1288 1296 1326 1377 1404 1428 1449 1456 1512 1547 1564 1638 1656 1701 1768 1794 1836 1863 1872 1904 1932 1944 1989 2093 2106 2142 2184 2268 2346 2392 2448 2457 2484 2576 2652 2691 2737 2754 2808 2856 2898 3024 3094 3128 3159 3213 3276 3312 3402 3519 3536 3588 3672 3726 3864 3888 3978 4131 4186 4212 4284 4347 4368 4536 4641 4692 4784 4914 4968 5083 5304 5382 5474 5508 5589 5616 5712 5796 5967 6188 6256 6279 6318 6426 6552 6804 7038 7176 7344 7371 7452 7728 7956 8073 8211 8262 8372 8424 8568 8694 9072 9282 9384 9639 9828 9936 10166 10557 10608 10764 10948 11016 11178 11592 11934 12376 12558 12636 12852 13041 13104 13608 13923 14076 14352 14742 14904 15249 15912 16146 16422 16524 16744 16848 17136 17388 17901 18564 18768 18837 19278 19656 20332 21114 21528 21896 22032 22113 22356 23184 23868 24219 24633 24752 25116 25272 25704 26082 27216 27846 28152 28917 29484 29808 30498 31671 31824 32292 32844 33048 33488 34776 35581 35802 37128 37674 38556 39123 39312 40664 41769 42228 43056 43792 44226 44712 45747 47736 48438 49266 50232 50544 51408 52164 53703 55692 56304 56511 57834 58968 60996 63342 64584 65688 66096 69552 71162 71604 72657 73899 74256 75348 77112 78246 81328 83538 84456 88452 89424 91494 95013 95472 96876 98532 100464 104328 106743 107406 111384 113022 115668 117936 121992 125307 126684 129168 131376 137241 142324 143208 145314 147798 150696 154224 156492 167076 168912 169533 176904 182988 190026 193752 197064 208656 213486 214812 221697 222768 226044 231336 243984 250614 253368 274482 284648 286416 290628 295596 301392 312984 320229 334152 339066 353808 365976 375921 380052 387504 394128 411723 426972 429624 443394 452088 462672 501228 506736 508599 548964 569296 581256 591192 625968 640458 665091 668304 678132 731952 751842 760104 823446 853944 859248 886788 904176 960687 1002456 1017198 1097928 1162512 1182384 1235169 1280916 1330182 1356264 1503684 1520208 1646892 1707888 1773576 1921374 2004912 2034396 2195856 2470338 2561832 2660364 2712528 2882061 3007368 3293784 3547152 3842748 4068792 4940676 5123664 5320728 5764122 6014736 6587568 7685496 8137584 8646183 9881352 10641456 11528244 15370992 17292366 19762704 23056488 34584732 46112976 69169464 138338928
- Sum of all divisors σ(n): 545965056
- Sum of proper divisors (its aliquot sum) s(n): 407626128
- 138338928 is an abundant number, because the sum of its proper divisors (407626128) is greater than itself. Its abundance is 269287200
Bases of 138338928
- Binary: 10000011111011100010011100002
- Hexadecimal: 0x83EE270
- Base-36: 2AD300
Squares and roots of 138338928
- 138338928 squared (1383389282) is 19137659000189184
- 138338928 cubed (1383389283) is 2647483230515723511754752
-
The
square root of 138338928 is 11761.7570116033 -
The
cube root of 138338928 is 517.1876375833
Scales and comparisons
How big is 138338928?- 138,338,928 seconds is equal to 4 years, 20 weeks, 5 days, 3 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,338,928 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 138338928 cubic inches would be around 43.1 feet tall.
Recreational maths with 138338928
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