130946816
130,946,816 is an even composite number composed of five prime numbers multiplied together.
130946816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 130946816:
28 × 72 × 11 × 13 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 13 × 73)See below for interesting mathematical facts about the number 130946816 from the Numbermatics database.
Names of 130946816
- Cardinal: 130946816 can be written as One hundred thirty million, nine hundred forty-six thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.30946816 × 108
Factors of 130946816
Divisors of 130946816
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 32 44 49 52 56 64 73 77 88 91 98 104 112 128 143 146 154 176 182 196 208 224 256 286 292 308 352 364 392 416 448 511 539 572 584 616 637 704 728 784 803 832 896 949 1001 1022 1078 1144 1168 1232 1274 1408 1456 1568 1606 1664 1792 1898 2002 2044 2156 2288 2336 2464 2548 2816 2912 3136 3212 3328 3577 3796 4004 4088 4312 4576 4672 4928 5096 5621 5824 6272 6424 6643 7007 7154 7592 8008 8176 8624 9152 9344 9856 10192 10439 11242 11648 12544 12848 13286 14014 14308 15184 16016 16352 17248 18304 18688 19712 20384 20878 22484 23296 25696 26572 28028 28616 30368 32032 32704 34496 36608 39347 40768 41756 44968 46501 51392 53144 56056 57232 60736 64064 65408 68992 73073 78694 81536 83512 89936 93002 102784 106288 112112 114464 121472 128128 130816 137984 146146 157388 163072 167024 179872 186004 205568 212576 224224 228928 242944 256256 292292 314776 334048 359744 372008 425152 448448 457856 511511 584584 629552 668096 719488 744016 850304 896896 915712 1023022 1169168 1259104 1336192 1438976 1488032 1700608 1793792 2046044 2338336 2518208 2672384 2976064 4092088 4676672 5036416 5952128 8184176 9353344 10072832 11904256 16368352 18706688 32736704 65473408 130946816
- Sum of all divisors σ(n): 362106864
- Sum of proper divisors (its aliquot sum) s(n): 231160048
- 130946816 is an abundant number, because the sum of its proper divisors (231160048) is greater than itself. Its abundance is 100213232
Bases of 130946816
- Binary: 1111100111000010111000000002
- Hexadecimal: 0x7CE1700
- Base-36: 25YN7K
Squares and roots of 130946816
- 130946816 squared (1309468162) is 17147068620537856
- 130946816 cubed (1309468163) is 2245354039592944450666496
-
The
square root of 130946816 is 11443.1995525727 -
The
cube root of 130946816 is 507.8065686363
Scales and comparisons
How big is 130946816?- 130,946,816 seconds is equal to 4 years, 8 weeks, 3 days, 14 hours, 6 minutes, 56 seconds.
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To count from 1 to 130,946,816 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 130946816 cubic inches would be around 42.3 feet tall.
Recreational maths with 130946816
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The information we have on file for 130946816 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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