131300928
131,300,928 is an even composite number composed of six prime numbers multiplied together.
131300928 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 131300928:
26 × 32 × 11 × 17 × 23 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 17 × 23 × 53)See below for interesting mathematical facts about the number 131300928 from the Numbermatics database.
Names of 131300928
- Cardinal: 131300928 can be written as One hundred thirty-one million, three hundred thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 1.31300928 × 108
Factors of 131300928
Divisors of 131300928
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 23 24 32 33 34 36 44 46 48 51 53 64 66 68 69 72 88 92 96 99 102 106 132 136 138 144 153 159 176 184 187 192 198 204 207 212 253 264 272 276 288 306 318 352 368 374 391 396 408 414 424 477 506 528 544 552 561 576 583 612 636 704 736 748 759 782 792 816 828 848 901 954 1012 1056 1088 1104 1122 1166 1173 1219 1224 1272 1472 1496 1518 1564 1584 1632 1656 1683 1696 1749 1802 1908 2024 2112 2208 2244 2277 2332 2346 2438 2448 2544 2703 2992 3036 3128 3168 3264 3312 3366 3392 3498 3519 3604 3657 3816 4048 4301 4416 4488 4554 4664 4692 4876 4896 5088 5247 5406 5984 6072 6256 6336 6624 6732 6996 7038 7208 7314 7632 8096 8109 8602 8976 9108 9328 9384 9752 9792 9911 10176 10494 10812 10971 11968 12144 12512 12903 13248 13409 13464 13992 14076 14416 14628 15264 16192 16218 17204 17952 18216 18656 18768 19504 19822 20723 20988 21624 21942 24288 25024 25806 26818 26928 27984 28152 28832 29256 29733 30528 32436 34408 35904 36432 37312 37536 38709 39008 39644 40227 41446 41976 43248 43884 48576 51612 53636 53856 55968 56304 57664 58512 59466 62169 64872 68816 72864 75072 77418 78016 79288 80454 82892 83952 86496 87768 89199 103224 107272 107712 111936 112608 117024 118932 120681 124338 129744 137632 145728 154836 158576 160908 165784 167904 172992 175536 178398 186507 206448 214544 225216 227953 234048 237864 241362 248676 259488 275264 309672 317152 321816 331568 335808 351072 356796 373014 412896 429088 455906 475728 482724 497352 518976 619344 634304 643632 663136 683859 702144 713592 746028 825792 858176 911812 951456 965448 994704 1238688 1287264 1326272 1367718 1427184 1492056 1823624 1902912 1930896 1989408 2051577 2477376 2574528 2735436 2854368 2984112 3647248 3861792 3978816 4103154 5470872 5708736 5968224 7294496 7723584 8206308 10941744 11936448 14588992 16412616 21883488 32825232 43766976 65650464 131300928
- Sum of all divisors σ(n): 462174336
- Sum of proper divisors (its aliquot sum) s(n): 330873408
- 131300928 is an abundant number, because the sum of its proper divisors (330873408) is greater than itself. Its abundance is 199572480
Bases of 131300928
- Binary: 1111101001101111110010000002
- Hexadecimal: 0x7D37E40
- Base-36: 2668G0
Squares and roots of 131300928
- 131300928 squared (1313009282) is 17239933693661184
- 131300928 cubed (1313009283) is 2263619292636181176778752
-
The
square root of 131300928 is 11458.6617019615 -
The
cube root of 131300928 is 508.2639007439
Scales and comparisons
How big is 131300928?- 131,300,928 seconds is equal to 4 years, 9 weeks, 16 hours, 28 minutes, 48 seconds.
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To count from 1 to 131,300,928 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 131300928 cubic inches would be around 42.4 feet tall.
Recreational maths with 131300928
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