138486348
138,486,348 is an even composite number composed of six prime numbers multiplied together.
138486348 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 138486348:
22 × 34 × 72 × 11 × 13 × 61
(2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 13 × 61)See below for interesting mathematical facts about the number 138486348 from the Numbermatics database.
Names of 138486348
- Cardinal: 138486348 can be written as One hundred thirty-eight million, four hundred eighty-six thousand, three hundred forty-eight.
Scientific notation
- Scientific notation: 1.38486348 × 108
Factors of 138486348
Divisors of 138486348
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 27 28 33 36 39 42 44 49 52 54 61 63 66 77 78 81 84 91 98 99 108 117 122 126 132 143 147 154 156 162 182 183 189 196 198 231 234 244 252 273 286 294 297 308 324 351 364 366 378 396 427 429 441 462 468 539 546 549 567 572 588 594 637 671 693 702 732 756 793 819 854 858 882 891 924 1001 1053 1078 1092 1098 1134 1188 1274 1281 1287 1323 1342 1386 1404 1586 1617 1638 1647 1708 1716 1764 1782 1911 2002 2013 2079 2106 2156 2196 2268 2379 2457 2548 2562 2574 2646 2684 2772 2989 3003 3172 3234 3276 3294 3564 3822 3843 3861 3969 4004 4026 4158 4212 4697 4758 4851 4914 4941 5124 5148 5292 5551 5733 5978 6006 6039 6237 6468 6588 7007 7137 7371 7644 7686 7722 7938 8052 8316 8723 8967 9009 9394 9516 9702 9828 9882 11102 11466 11529 11583 11956 12012 12078 12474 14014 14091 14274 14553 14742 15372 15444 15876 16653 17199 17446 17934 18018 18117 18788 19404 19764 21021 21411 22204 22932 23058 23166 24156 24948 26169 26901 27027 28028 28182 28548 29106 29484 32879 33306 34398 34587 34892 35868 36036 36234 38857 42042 42273 42822 43659 46116 46332 49959 51597 52338 53802 54054 54351 56364 58212 61061 63063 64233 65758 66612 68796 69174 72468 77714 78507 80703 81081 84084 84546 85644 87318 98637 99918 103194 104676 107604 108108 108702 116571 122122 126126 126819 128466 131516 138348 149877 155428 157014 161406 162162 169092 174636 183183 189189 197274 199836 206388 217404 233142 235521 242109 244244 252252 253638 256932 295911 299754 314028 322812 324324 349713 366366 378378 380457 394548 427427 449631 466284 471042 484218 507276 549549 567567 591822 599508 699426 706563 732732 756756 760914 854854 887733 899262 942084 968436 1049139 1099098 1135134 1183644 1282281 1398852 1413126 1521828 1648647 1709708 1775466 1798524 2098278 2198196 2270268 2564562 2663199 2826252 3147417 3297294 3550932 3846843 4196556 4945941 5129124 5326398 6294834 6594588 7693686 9891882 10652796 11540529 12589668 15387372 19783764 23081058 34621587 46162116 69243174 138486348
- Sum of all divisors σ(n): 502874064
- Sum of proper divisors (its aliquot sum) s(n): 364387716
- 138486348 is an abundant number, because the sum of its proper divisors (364387716) is greater than itself. Its abundance is 225901368
Bases of 138486348
- Binary: 10000100000100100010010011002
- Hexadecimal: 0x841224C
- Base-36: 2AG8R0
Squares and roots of 138486348
- 138486348 squared (1384863482) is 19178468582377104
- 138486348 cubed (1384863483) is 2655956074206142291776192
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The
square root of 138486348 is 11768.0222637449 -
The
cube root of 138486348 is 517.3712849383
Scales and comparisons
How big is 138486348?- 138,486,348 seconds is equal to 4 years, 20 weeks, 6 days, 20 hours, 25 minutes, 48 seconds.
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To count from 1 to 138,486,348 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 138486348 cubic inches would be around 43.1 feet tall.
Recreational maths with 138486348
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