138555144
138,555,144 is an even composite number composed of six prime numbers multiplied together.
138555144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138555144:
23 × 33 × 72 × 13 × 19 × 53
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 19 × 53)See below for interesting mathematical facts about the number 138555144 from the Numbermatics database.
Names of 138555144
- Cardinal: 138555144 can be written as One hundred thirty-eight million, five hundred fifty-five thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.38555144 × 108
Factors of 138555144
Divisors of 138555144
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 19 21 24 26 27 28 36 38 39 42 49 52 53 54 56 57 63 72 76 78 84 91 98 104 106 108 114 117 126 133 147 152 156 159 168 171 182 189 196 212 216 228 234 247 252 266 273 294 312 318 342 351 364 371 378 392 399 424 441 456 468 477 494 504 513 532 546 588 636 637 684 689 702 728 741 742 756 798 819 882 931 936 954 988 1007 1026 1064 1092 1113 1176 1197 1272 1274 1323 1368 1378 1404 1431 1482 1484 1512 1596 1638 1729 1764 1862 1908 1911 1976 2014 2052 2067 2184 2223 2226 2394 2457 2548 2597 2646 2756 2793 2808 2862 2964 2968 3021 3192 3276 3339 3458 3528 3591 3724 3816 3822 4028 4104 4134 4446 4452 4788 4823 4914 5096 5187 5194 5292 5512 5586 5724 5733 5928 6042 6201 6552 6669 6678 6916 7049 7182 7448 7644 7791 8056 8268 8379 8892 8904 9063 9576 9646 9828 10017 10374 10388 10584 11172 11448 11466 12084 12103 12402 13091 13338 13356 13832 14098 14364 14469 15288 15561 15582 16536 16758 17199 17784 18126 18603 19292 19656 20034 20748 20776 21147 22344 22932 23373 24168 24206 24804 25137 26182 26676 26712 27189 28196 28728 28938 31122 31164 33516 33761 34398 36252 36309 37206 38584 39273 40068 41496 42294 43407 45864 46683 46746 48412 49343 49608 50274 52364 53352 54378 56392 57876 62244 62328 63441 67032 67522 68796 70119 72504 72618 74412 78546 80136 84588 86814 91637 93366 93492 96824 98686 100548 101283 104728 108756 108927 115752 117819 124488 126882 130221 135044 137592 140238 145236 148029 148824 157092 169176 173628 183274 186732 186984 190323 197372 201096 202566 217512 217854 235638 253764 260442 270088 274911 280476 290472 296058 303849 314184 326781 347256 353457 366548 373464 380646 394744 405132 435708 444087 471276 507528 520884 549822 560952 592116 607698 641459 653562 706914 733096 761292 810264 824733 871416 888174 911547 942552 1041768 1099644 1184232 1215396 1282918 1307124 1332261 1413828 1522584 1649466 1776348 1823094 1924377 2199288 2430792 2474199 2565836 2614248 2664522 2827656 3298932 3552696 3646188 3848754 4948398 5131672 5329044 5773131 6597864 7292376 7697508 9896796 10658088 11546262 15395016 17319393 19793592 23092524 34638786 46185048 69277572 138555144
- Sum of all divisors σ(n): 517104000
- Sum of proper divisors (its aliquot sum) s(n): 378548856
- 138555144 is an abundant number, because the sum of its proper divisors (378548856) is greater than itself. Its abundance is 239993712
Bases of 138555144
- Binary: 10000100001000101111000010002
- Hexadecimal: 0x8422F08
- Base-36: 2AHPU0
Squares and roots of 138555144
- 138555144 squared (1385551442) is 19197527928860736
- 138555144 cubed (1385551443) is 2659916246627321032425984
-
The
square root of 138555144 is 11770.9449068459 -
The
cube root of 138555144 is 517.4569424373
Scales and comparisons
How big is 138555144?- 138,555,144 seconds is equal to 4 years, 21 weeks, 15 hours, 32 minutes, 24 seconds.
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To count from 1 to 138,555,144 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 138555144 cubic inches would be around 43.1 feet tall.
Recreational maths with 138555144
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