138045336
138,045,336 is an even composite number composed of seven prime numbers multiplied together.
138045336 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138045336:
23 × 3 × 11 × 13 × 19 × 29 × 73
(2 × 2 × 2 × 3 × 11 × 13 × 19 × 29 × 73)See below for interesting mathematical facts about the number 138045336 from the Numbermatics database.
Names of 138045336
- Cardinal: 138045336 can be written as One hundred thirty-eight million, forty-five thousand, three hundred thirty-six.
Scientific notation
- Scientific notation: 1.38045336 × 108
Factors of 138045336
Divisors of 138045336
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 19 22 24 26 29 33 38 39 44 52 57 58 66 73 76 78 87 88 104 114 116 132 143 146 152 156 174 209 219 228 232 247 264 286 292 312 319 348 377 418 429 438 456 494 551 572 584 627 638 696 741 754 803 836 858 876 949 957 988 1102 1131 1144 1254 1276 1387 1482 1508 1606 1653 1672 1716 1752 1898 1914 1976 2117 2204 2262 2409 2508 2552 2717 2774 2847 2964 3016 3212 3306 3432 3796 3828 4147 4161 4234 4408 4524 4818 5016 5434 5548 5694 5928 6061 6351 6424 6612 7163 7592 7656 8151 8294 8322 8468 9048 9636 10439 10868 11096 11388 12122 12441 12702 13224 14326 15257 16302 16588 16644 16936 18031 18183 19272 20878 21489 21736 22776 23287 24244 24882 25404 27521 28652 30514 31317 32604 33176 33288 36062 36366 40223 41756 42978 45771 46574 48488 49764 50808 54093 55042 57304 61028 62634 65208 69861 72124 72732 78793 80446 82563 83512 85956 91542 93148 99528 108186 110084 120669 122056 125268 139722 144248 145464 157586 160892 165126 171912 183084 186296 198341 216372 220168 236379 241338 250536 279444 302731 315172 321784 330252 366168 396682 432744 442453 472758 482676 522899 558888 595023 605462 630344 660504 793364 884906 908193 945516 965352 1045798 1190046 1210924 1327359 1568697 1586728 1769812 1816386 1891032 2091596 2380092 2421848 2654718 3137394 3539624 3632772 4183192 4760184 5309436 5751889 6274788 7265544 10618872 11503778 12549576 17255667 23007556 34511334 46015112 69022668 138045336
- Sum of all divisors σ(n): 447552000
- Sum of proper divisors (its aliquot sum) s(n): 309506664
- 138045336 is an abundant number, because the sum of its proper divisors (309506664) is greater than itself. Its abundance is 171461328
Bases of 138045336
- Binary: 10000011101001100111100110002
- Hexadecimal: 0x83A6798
- Base-36: 2A6SGO
Squares and roots of 138045336
- 138045336 squared (1380453362) is 19056514791352896
- 138045336 cubed (1380453363) is 2630662987361280422893056
-
The
square root of 138045336 is 11749.2695943193 -
The
cube root of 138045336 is 516.8215085445
Scales and comparisons
How big is 138045336?- 138,045,336 seconds is equal to 4 years, 20 weeks, 1 day, 17 hours, 55 minutes, 36 seconds.
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To count from 1 to 138,045,336 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 138045336 cubic inches would be around 43.1 feet tall.
Recreational maths with 138045336
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