105104142
105,104,142 is an even composite number composed of five prime numbers multiplied together.
105104142 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 105104142:
2 × 34 × 11 × 132 × 349
(2 × 3 × 3 × 3 × 3 × 11 × 13 × 13 × 349)See below for interesting mathematical facts about the number 105104142 from the Numbermatics database.
Names of 105104142
- Cardinal: 105104142 can be written as One hundred five million, one hundred four thousand, one hundred forty-two.
Scientific notation
- Scientific notation: 1.05104142 × 108
Factors of 105104142
Divisors of 105104142
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 169 198 234 286 297 338 349 351 429 507 594 698 702 858 891 1014 1047 1053 1287 1521 1782 1859 2094 2106 2574 3042 3141 3718 3839 3861 4537 4563 5577 6282 7678 7722 9074 9126 9423 11154 11517 11583 13611 13689 16731 18846 23034 23166 27222 27378 28269 33462 34551 40833 49907 50193 56538 58981 69102 81666 99814 100386 103653 117962 122499 149721 150579 176943 207306 244998 299442 301158 310959 353886 367497 449163 530829 621918 648791 734994 898326 1061658 1297582 1347489 1592487 1946373 2694978 3184974 3892746 4042467 4777461 5839119 8084934 9554922 11678238 17517357 35034714 52552071 105104142
- Sum of all divisors σ(n): 279001800
- Sum of proper divisors (its aliquot sum) s(n): 173897658
- 105104142 is an abundant number, because the sum of its proper divisors (173897658) is greater than itself. Its abundance is 68793516
Bases of 105104142
- Binary: 1100100001111000011000011102
- Hexadecimal: 0x643C30E
- Base-36: 1QKQVI
Squares and roots of 105104142
- 105104142 squared (1051041422) is 11046880665556164
- 105104142 cubed (1051041423) is 1161072914129669570031288
-
The
square root of 105104142 is 10252.0311158327 -
The
cube root of 105104142 is 471.9253179503
Scales and comparisons
How big is 105104142?- 105,104,142 seconds is equal to 3 years, 17 weeks, 5 days, 11 hours, 35 minutes, 42 seconds.
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To count from 1 to 105,104,142 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 105104142 cubic inches would be around 39.3 feet tall.
Recreational maths with 105104142
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