107138304
107,138,304 is an even composite number composed of five prime numbers multiplied together.
107138304 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 107138304:
28 × 32 × 72 × 13 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 73)See below for interesting mathematical facts about the number 107138304 from the Numbermatics database.
Names of 107138304
- Cardinal: 107138304 can be written as One hundred seven million, one hundred thirty-eight thousand, three hundred four.
Scientific notation
- Scientific notation: 1.07138304 × 108
Factors of 107138304
Divisors of 107138304
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 56 63 64 72 73 78 84 91 96 98 104 112 117 126 128 144 146 147 156 168 182 192 196 208 219 224 234 252 256 273 288 292 294 312 336 364 384 392 416 438 441 448 468 504 511 546 576 584 588 624 637 657 672 728 768 784 819 832 876 882 896 936 949 1008 1022 1092 1152 1168 1176 1248 1274 1314 1344 1456 1533 1568 1638 1664 1752 1764 1792 1872 1898 1911 2016 2044 2184 2304 2336 2352 2496 2548 2628 2688 2847 2912 3066 3136 3276 3328 3504 3528 3577 3744 3796 3822 4032 4088 4368 4599 4672 4704 4992 5096 5256 5376 5694 5733 5824 6132 6272 6552 6643 7008 7056 7154 7488 7592 7644 8064 8176 8541 8736 9198 9344 9408 9984 10192 10512 10731 11388 11466 11648 12264 12544 13104 13286 14016 14112 14308 14976 15184 15288 16128 16352 17082 17472 18396 18688 18816 19929 20384 21024 21462 22776 22932 23296 24528 26208 26572 28032 28224 28616 29952 30368 30576 32193 32704 34164 34944 36792 37632 39858 40768 42048 42924 45552 45864 46501 49056 52416 53144 56064 56448 57232 59787 60736 61152 64386 65408 68328 69888 73584 79716 81536 84096 85848 91104 91728 93002 98112 104832 106288 112896 114464 119574 121472 122304 128772 130816 136656 139503 147168 159432 163072 168192 171696 182208 183456 186004 196224 209664 212576 228928 239148 242944 244608 257544 273312 279006 294336 318864 343392 364416 366912 372008 392448 418509 425152 457856 478296 489216 515088 546624 558012 588672 637728 686784 728832 733824 744016 837018 850304 915712 956592 1030176 1093248 1116024 1177344 1275456 1373568 1467648 1488032 1674036 1700608 1913184 2060352 2186496 2232048 2550912 2747136 2976064 3348072 3826368 4120704 4464096 5101824 5952128 6696144 7652736 8241408 8928192 11904256 13392288 15305472 17856384 26784576 35712768 53569152 107138304
- Sum of all divisors σ(n): 392282436
- Sum of proper divisors (its aliquot sum) s(n): 285144132
- 107138304 is an abundant number, because the sum of its proper divisors (285144132) is greater than itself. Its abundance is 178005828
Bases of 107138304
- Binary: 1100110001011001101000000002
- Hexadecimal: 0x662CD00
- Base-36: 1RSCG0
Squares and roots of 107138304
- 107138304 squared (1071383042) is 11478616183996416
- 107138304 cubed (1071383043) is 1229799470220327952318464
-
The
square root of 107138304 is 10350.7634501035 -
The
cube root of 107138304 is 474.9503977751
Scales and comparisons
How big is 107138304?- 107,138,304 seconds is equal to 3 years, 21 weeks, 1 day, 38 minutes, 24 seconds.
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To count from 1 to 107,138,304 would take you about five 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 107138304 cubic inches would be around 39.6 feet tall.
Recreational maths with 107138304
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The information we have on file for 107138304 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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