105142400
105,142,400 is an even composite number composed of five prime numbers multiplied together.
105142400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 105142400:
27 × 52 × 11 × 29 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 29 × 103)See below for interesting mathematical facts about the number 105142400 from the Numbermatics database.
Names of 105142400
- Cardinal: 105142400 can be written as One hundred five million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.051424 × 108
Factors of 105142400
Divisors of 105142400
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 29 32 40 44 50 55 58 64 80 88 100 103 110 116 128 145 160 176 200 206 220 232 275 290 319 320 352 400 412 440 464 515 550 580 638 640 704 725 800 824 880 928 1030 1100 1133 1160 1276 1408 1450 1595 1600 1648 1760 1856 2060 2200 2266 2320 2552 2575 2900 2987 3190 3200 3296 3520 3712 4120 4400 4532 4640 5104 5150 5665 5800 5974 6380 6592 7040 7975 8240 8800 9064 9280 10208 10300 11330 11600 11948 12760 13184 14935 15950 16480 17600 18128 18560 20416 20600 22660 23200 23896 25520 28325 29870 31900 32857 32960 35200 36256 40832 41200 45320 46400 47792 51040 56650 59740 63800 65714 65920 72512 74675 82400 90640 92800 95584 102080 113300 119480 127600 131428 145024 149350 164285 164800 181280 191168 204160 226600 238960 255200 262856 298700 328570 329600 362560 382336 453200 477920 510400 525712 597400 657140 725120 821425 906400 955840 1020800 1051424 1194800 1314280 1642850 1812800 1911680 2102848 2389600 2628560 3285700 3625600 4205696 4779200 5257120 6571400 9558400 10514240 13142800 21028480 26285600 52571200 105142400
- Sum of all divisors σ(n): 295963200
- Sum of proper divisors (its aliquot sum) s(n): 190820800
- 105142400 is an abundant number, because the sum of its proper divisors (190820800) is greater than itself. Its abundance is 85678400
Bases of 105142400
- Binary: 1100100010001011000100000002
- Hexadecimal: 0x6445880
- Base-36: 1QLKE8
Squares and roots of 105142400
- 105142400 squared (1051424002) is 11054924277760000
- 105142400 cubed (1051424003) is 1162341270381953024000000
-
The
square root of 105142400 is 10253.8968202337 -
The
cube root of 105142400 is 471.9825714143
Scales and comparisons
How big is 105142400?- 105,142,400 seconds is equal to 3 years, 17 weeks, 5 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 105,142,400 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 105142400 cubic inches would be around 39.3 feet tall.
Recreational maths with 105142400
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