105142960
105,142,960 is an even composite number composed of six prime numbers multiplied together.
105142960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 105142960:
24 × 5 × 13 × 17 × 19 × 313
(2 × 2 × 2 × 2 × 5 × 13 × 17 × 19 × 313)See below for interesting mathematical facts about the number 105142960 from the Numbermatics database.
Names of 105142960
- Cardinal: 105142960 can be written as One hundred five million, one hundred forty-two thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.0514296 × 108
Factors of 105142960
Divisors of 105142960
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 19 20 26 34 38 40 52 65 68 76 80 85 95 104 130 136 152 170 190 208 221 247 260 272 304 313 323 340 380 442 494 520 626 646 680 760 884 988 1040 1105 1235 1252 1292 1360 1520 1565 1615 1768 1976 2210 2470 2504 2584 3130 3230 3536 3952 4069 4199 4420 4940 5008 5168 5321 5947 6260 6460 8138 8398 8840 9880 10642 11894 12520 12920 16276 16796 17680 19760 20345 20995 21284 23788 25040 25840 26605 29735 32552 33592 40690 41990 42568 47576 53210 59470 65104 67184 69173 77311 81380 83980 85136 95152 101099 106420 118940 138346 154622 162760 167960 202198 212840 237880 276692 309244 325520 335920 345865 386555 404396 425680 475760 505495 553384 618488 691730 773110 808792 1010990 1106768 1236976 1314287 1383460 1546220 1617584 2021980 2628574 2766920 3092440 4043960 5257148 5533840 6184880 6571435 8087920 10514296 13142870 21028592 26285740 52571480 105142960
- Sum of all divisors σ(n): 294356160
- Sum of proper divisors (its aliquot sum) s(n): 189213200
- 105142960 is an abundant number, because the sum of its proper divisors (189213200) is greater than itself. Its abundance is 84070240
Bases of 105142960
- Binary: 1100100010001011010101100002
- Hexadecimal: 0x6445AB0
- Base-36: 1QLKTS
Squares and roots of 105142960
- 105142960 squared (1051429602) is 11055042037561600
- 105142960 cubed (1051429603) is 1162359842753657806336000
-
The
square root of 105142960 is 10253.9241268891 -
The
cube root of 105142960 is 471.9834093567
Scales and comparisons
How big is 105142960?- 105,142,960 seconds is equal to 3 years, 17 weeks, 5 days, 22 hours, 22 minutes, 40 seconds.
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To count from 1 to 105,142,960 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 105142960 cubic inches would be around 39.3 feet tall.
Recreational maths with 105142960
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