138830328
138,830,328 is an even composite number composed of five prime numbers multiplied together.
138830328 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 138830328:
23 × 33 × 72 × 13 × 1009
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 1009)See below for interesting mathematical facts about the number 138830328 from the Numbermatics database.
Names of 138830328
- Cardinal: 138830328 can be written as One hundred thirty-eight million, eight hundred thirty thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38830328 × 108
Factors of 138830328
Divisors of 138830328
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 49 52 54 56 63 72 78 84 91 98 104 108 117 126 147 156 168 182 189 196 216 234 252 273 294 312 351 364 378 392 441 468 504 546 588 637 702 728 756 819 882 936 1009 1092 1176 1274 1323 1404 1512 1638 1764 1911 2018 2184 2457 2548 2646 2808 3027 3276 3528 3822 4036 4914 5096 5292 5733 6054 6552 7063 7644 8072 9081 9828 10584 11466 12108 13117 14126 15288 17199 18162 19656 21189 22932 24216 26234 27243 28252 34398 36324 39351 42378 45864 49441 52468 54486 56504 63567 68796 72648 78702 84756 91819 98882 104936 108972 118053 127134 137592 148323 157404 169512 183638 190701 197764 217944 236106 254268 275457 296646 314808 354159 367276 381402 395528 444969 472212 508536 550914 593292 642733 708318 734552 762804 826371 889938 944424 1101828 1186584 1285466 1334907 1416636 1525608 1652742 1779876 1928199 2203656 2479113 2570932 2669814 2833272 3305484 3559752 3856398 4958226 5141864 5339628 5784597 6610968 7712796 9916452 10679256 11569194 15425592 17353791 19832904 23138388 34707582 46276776 69415164 138830328
- Sum of all divisors σ(n): 483588000
- Sum of proper divisors (its aliquot sum) s(n): 344757672
- 138830328 is an abundant number, because the sum of its proper divisors (344757672) is greater than itself. Its abundance is 205927344
Bases of 138830328
- Binary: 10000100011001100001111110002
- Hexadecimal: 0x84661F8
- Base-36: 2ANM60
Squares and roots of 138830328
- 138830328 squared (1388303282) is 19273859972587584
- 138830328 cubed (1388303283) is 2675796301820405295447552
-
The
square root of 138830328 is 11782.6282297287 -
The
cube root of 138830328 is 517.7992891747
Scales and comparisons
How big is 138830328?- 138,830,328 seconds is equal to 4 years, 21 weeks, 3 days, 19 hours, 58 minutes, 48 seconds.
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To count from 1 to 138,830,328 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 138830328 cubic inches would be around 43.1 feet tall.
Recreational maths with 138830328
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The information we have on file for 138830328 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!
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