138735168
138,735,168 is an even composite number composed of six prime numbers multiplied together.
138735168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 138735168:
26 × 3 × 11 × 13 × 31 × 163
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 31 × 163)See below for interesting mathematical facts about the number 138735168 from the Numbermatics database.
Names of 138735168
- Cardinal: 138735168 can be written as One hundred thirty-eight million, seven hundred thirty-five thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38735168 × 108
Factors of 138735168
Divisors of 138735168
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 31 32 33 39 44 48 52 62 64 66 78 88 93 96 104 124 132 143 156 163 176 186 192 208 248 264 286 312 326 341 352 372 403 416 429 489 496 528 572 624 652 682 704 744 806 832 858 978 992 1023 1056 1144 1209 1248 1304 1364 1488 1612 1716 1793 1956 1984 2046 2112 2119 2288 2418 2496 2608 2728 2976 3224 3432 3586 3912 4092 4238 4433 4576 4836 5053 5216 5379 5456 5952 6357 6448 6864 7172 7824 8184 8476 8866 9152 9672 10106 10432 10758 10912 12714 12896 13299 13728 14344 15159 15648 16368 16952 17732 19344 20212 21516 21824 23309 25428 25792 26598 27456 28688 30318 31296 32736 33904 35464 38688 40424 43032 46618 50856 53196 55583 57376 60636 65472 65689 67808 69927 70928 77376 80848 86064 93236 101712 106392 111166 114752 121272 131378 135616 139854 141856 161696 166749 172128 186472 197067 203424 212784 222332 242544 262756 279708 283712 323392 333498 344256 372944 394134 406848 425568 444664 485088 525512 559416 666996 722579 745888 788268 851136 889328 970176 1051024 1118832 1333992 1445158 1491776 1576536 1778656 2102048 2167737 2237664 2667984 2890316 3153072 3557312 4204096 4335474 4475328 5335968 5780632 6306144 8670948 10671936 11561264 12612288 17341896 23122528 34683792 46245056 69367584 138735168
- Sum of all divisors σ(n): 447885312
- Sum of proper divisors (its aliquot sum) s(n): 309150144
- 138735168 is an abundant number, because the sum of its proper divisors (309150144) is greater than itself. Its abundance is 170414976
Bases of 138735168
- Binary: 10000100010011101110010000002
- Hexadecimal: 0x844EE40
- Base-36: 2ALKQO
Squares and roots of 138735168
- 138735168 squared (1387351682) is 19247446839988224
- 138735168 cubed (1387351683) is 2670297770916835374661632
-
The
square root of 138735168 is 11778.5893892265 -
The
cube root of 138735168 is 517.6809551779
Scales and comparisons
How big is 138735168?- 138,735,168 seconds is equal to 4 years, 21 weeks, 2 days, 17 hours, 32 minutes, 48 seconds.
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To count from 1 to 138,735,168 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 138735168 cubic inches would be around 43.1 feet tall.
Recreational maths with 138735168
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The information we have on file for 138735168 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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