105131264
105,131,264 is an even composite number composed of four prime numbers multiplied together.
105131264 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-two divisors.
Prime factorization of 105131264:
28 × 72 × 172 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 17 × 17 × 29)See below for interesting mathematical facts about the number 105131264 from the Numbermatics database.
Names of 105131264
- Cardinal: 105131264 can be written as One hundred five million, one hundred thirty-one thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.05131264 × 108
Factors of 105131264
Divisors of 105131264
- Number of divisors d(n): 162
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Complete list of divisors:
1 2 4 7 8 14 16 17 28 29 32 34 49 56 58 64 68 98 112 116 119 128 136 196 203 224 232 238 256 272 289 392 406 448 464 476 493 544 578 784 812 833 896 928 952 986 1088 1156 1421 1568 1624 1666 1792 1856 1904 1972 2023 2176 2312 2842 3136 3248 3332 3451 3712 3808 3944 4046 4352 4624 5684 6272 6496 6664 6902 7424 7616 7888 8092 8381 9248 11368 12544 12992 13328 13804 14161 15232 15776 16184 16762 18496 22736 24157 25984 26656 27608 28322 30464 31552 32368 33524 36992 45472 48314 51968 53312 55216 56644 58667 63104 64736 67048 73984 90944 96628 106624 110432 113288 117334 126208 129472 134096 181888 193256 213248 220864 226576 234668 258944 268192 363776 386512 410669 441728 453152 469336 517888 536384 773024 821338 883456 906304 938672 1072768 1546048 1642676 1812608 1877344 2145536 3092096 3285352 3625216 3754688 6184192 6570704 7509376 13141408 15018752 26282816 52565632 105131264
- Sum of all divisors σ(n): 268259670
- Sum of proper divisors (its aliquot sum) s(n): 163128406
- 105131264 is an abundant number, because the sum of its proper divisors (163128406) is greater than itself. Its abundance is 57997142
Bases of 105131264
- Binary: 1100100010000101101000000002
- Hexadecimal: 0x6442D00
- Base-36: 1QLBSW
Squares and roots of 105131264
- 105131264 squared (1051312642) is 11052582670237696
- 105131264 cubed (1051312643) is 1161971986586584160927744
-
The
square root of 105131264 is 10253.3537927841 -
The
cube root of 105131264 is 471.9659077167
Scales and comparisons
How big is 105131264?- 105,131,264 seconds is equal to 3 years, 17 weeks, 5 days, 19 hours, 7 minutes, 44 seconds.
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To count from 1 to 105,131,264 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 105131264 cubic inches would be around 39.3 feet tall.
Recreational maths with 105131264
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