131326272
131,326,272 is an even composite number composed of five prime numbers multiplied together.
131326272 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 131326272:
26 × 34 × 72 × 11 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 47)See below for interesting mathematical facts about the number 131326272 from the Numbermatics database.
Names of 131326272
- Cardinal: 131326272 can be written as One hundred thirty-one million, three hundred twenty-six thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 1.31326272 × 108
Factors of 131326272
Divisors of 131326272
- Number of divisors d(n): 420
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 47 48 49 54 56 63 64 66 72 77 81 84 88 94 96 98 99 108 112 126 132 141 144 147 154 162 168 176 188 189 192 196 198 216 224 231 252 264 282 288 294 297 308 324 329 336 352 376 378 392 396 423 432 441 448 462 504 517 528 539 564 567 576 588 594 616 648 658 672 693 704 752 756 784 792 846 864 882 891 924 987 1008 1034 1056 1078 1128 1134 1176 1188 1232 1269 1296 1316 1323 1344 1386 1504 1512 1551 1568 1584 1617 1692 1728 1764 1782 1848 1974 2016 2068 2079 2112 2156 2256 2268 2303 2352 2376 2464 2538 2592 2632 2646 2772 2961 3008 3024 3102 3136 3168 3234 3384 3528 3564 3619 3696 3807 3948 3969 4032 4136 4158 4312 4512 4536 4606 4653 4704 4752 4851 4928 5076 5184 5264 5292 5544 5922 6048 6204 6237 6336 6468 6768 6909 7056 7128 7238 7392 7614 7896 7938 8272 8316 8624 8883 9024 9072 9212 9306 9408 9504 9702 10152 10528 10584 10857 11088 11844 12096 12408 12474 12936 13536 13818 13959 14112 14256 14476 14553 14784 15228 15792 15876 16544 16632 17248 17766 18144 18424 18612 19008 19404 20304 20727 21056 21168 21714 22176 23688 24816 24948 25333 25872 26649 27072 27636 27918 28224 28512 28952 29106 30456 31584 31752 32571 33088 33264 34496 35532 36288 36848 37224 38808 40608 41454 41877 42336 43428 43659 44352 47376 49632 49896 50666 51744 53298 55272 55836 57024 57904 58212 60912 62181 63168 63504 65142 66528 71064 73696 74448 75999 77616 81216 82908 83754 84672 86856 87318 94752 97713 99264 99792 101332 103488 106596 110544 111672 115808 116424 121824 124362 127008 130284 133056 142128 147392 148896 151998 155232 165816 167508 173712 174636 186543 189504 195426 199584 202664 213192 221088 223344 227997 231616 232848 243648 248724 254016 260568 284256 293139 297792 303996 310464 331632 335016 347424 349272 373086 390852 399168 405328 426384 442176 446688 455994 465696 497448 521136 568512 586278 607992 663264 670032 683991 694848 698544 746172 781704 810656 852768 893376 911988 931392 994896 1042272 1172556 1215984 1326528 1340064 1367982 1397088 1492344 1563408 1621312 1705536 1823976 1989792 2051973 2084544 2345112 2431968 2680128 2735964 2794176 2984688 3126816 3647952 3979584 4103946 4690224 4863936 5471928 5969376 6253632 7295904 8207892 9380448 10943856 11938752 14591808 16415784 18760896 21887712 32831568 43775424 65663136 131326272
- Sum of all divisors σ(n): 504529344
- Sum of proper divisors (its aliquot sum) s(n): 373203072
- 131326272 is an abundant number, because the sum of its proper divisors (373203072) is greater than itself. Its abundance is 241876800
Bases of 131326272
- Binary: 1111101001111100001010000002
- Hexadecimal: 0x7D3E140
- Base-36: 266S00
Squares and roots of 131326272
- 131326272 squared (1313262722) is 17246589717417984
- 131326272 cubed (1313262723) is 2264930332302037304475648
-
The
square root of 131326272 is 11459.7675369093 -
The
cube root of 131326272 is 508.2966007201
Scales and comparisons
How big is 131326272?- 131,326,272 seconds is equal to 4 years, 9 weeks, 23 hours, 31 minutes, 12 seconds.
-
To count from 1 to 131,326,272 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 131326272 cubic inches would be around 42.4 feet tall.
Recreational maths with 131326272
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