138325714632
138,325,714,632 is an even composite number composed of five prime numbers multiplied together.
138325714632 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 138325714632:
23 × 36 × 72 × 53 × 9133
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 53 × 9133)See below for interesting mathematical facts about the number 138325714632 from the Numbermatics database.
Names of 138325714632
- Cardinal: 138325714632 can be written as One hundred thirty-eight billion, three hundred twenty-five million, seven hundred fourteen thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 1.38325714632 × 1011
Factors of 138325714632
Divisors of 138325714632
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 53 54 56 63 72 81 84 98 106 108 126 147 159 162 168 189 196 212 216 243 252 294 318 324 371 378 392 424 441 477 486 504 567 588 636 648 729 742 756 882 954 972 1113 1134 1176 1272 1323 1431 1458 1484 1512 1701 1764 1908 1944 2226 2268 2597 2646 2862 2916 2968 3339 3402 3528 3816 3969 4293 4452 4536 5103 5194 5292 5724 5832 6678 6804 7791 7938 8586 8904 9133 10017 10206 10388 10584 11448 11907 12879 13356 13608 15582 15876 17172 18266 20034 20412 20776 23373 23814 25758 26712 27399 30051 31164 31752 34344 35721 36532 38637 40068 40824 46746 47628 51516 54798 60102 62328 63931 70119 71442 73064 77274 80136 82197 90153 93492 95256 103032 109596 120204 127862 140238 142884 154548 164394 180306 186984 191793 210357 219192 240408 246591 255724 270459 280476 285768 309096 328788 360612 383586 420714 447517 484049 493182 511448 540918 560952 575379 631071 657576 721224 739773 767172 841428 895034 968098 986364 1081836 1150758 1262142 1342551 1452147 1479546 1534344 1682856 1726137 1790068 1893213 1936196 1972728 2163672 2219319 2301516 2524284 2685102 2904294 2959092 3388343 3452274 3580136 3786426 3872392 4027653 4356441 4438638 4603032 5048568 5178411 5370204 5808588 5918184 6657957 6776686 6904548 7572852 8055306 8712882 8877276 10165029 10356822 10740408 11617176 12082959 13069323 13315914 13553372 13809096 15145704 15535233 16110612 17425764 17754552 20330058 20713644 23718401 24165918 26138646 26631828 27106744 30495087 31070466 32221224 34851528 36248877 39207969 40660116 41427288 46605699 47436802 48331836 52277292 53263656 60990174 62140932 71155203 72497754 78415938 81320232 91485261 93211398 94873604 96663672 104554584 108746631 117623907 121980348 124281864 142310406 144995508 156831876 182970522 186422796 189747208 213465609 217493262 235247814 243960696 274455783 284620812 289991016 313663752 326239893 352871721 365941044 372845592 426931218 434986524 470495628 548911566 569241624 640396827 652479786 705743442 731882088 823367349 853862436 869973048 940991256 1097823132 1280793654 1304959572 1411486884 1646734698 1707724872 1921190481 2195646264 2470102047 2561587308 2609919144 2822973768 3293469396 3842380962 4940204094 5123174616 5763571443 6586938792 7684761924 9880408188 11527142886 15369523848 17290714329 19760816376 23054285772 34581428658 46108571544 69162857316 138325714632
- Sum of all divisors σ(n): 460936440540
- Sum of proper divisors (its aliquot sum) s(n): 322610725908
- 138325714632 is an abundant number, because the sum of its proper divisors (322610725908) is greater than itself. Its abundance is 184285011276
Bases of 138325714632
- Binary: 100000001101001101101011100110110010002
- Hexadecimal: 0x2034DAE6C8
- Base-36: 1RJNK4I0
Squares and roots of 138325714632
- 138325714632 squared (1383257146322) is 19134003328453498895424
- 138325714632 cubed (1383257146323) is 2646724684179396854090347434643968
-
The
square root of 138325714632 is 371921.6512008947 -
The
cube root of 138325714632 is 5171.7117075971
Scales and comparisons
How big is 138325714632?- 138,325,714,632 seconds is equal to 4,398 years, 17 weeks, 1 day, 1 hour, 37 minutes, 12 seconds.
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To count from 1 to 138,325,714,632 would take you about eight thousand, seven hundred ninety-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 138325714632 cubic inches would be around 431 feet tall.
Recreational maths with 138325714632
- 138325714632 backwards is 236417523831
- The number of decimal digits it has is: 12
- The sum of 138325714632's digits is 45
- More coming soon!
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