Math question: What is the remainder when 142 is divided by 7, multiplied by 5, and then added to 12?

To find the remainder when dividing 142 by 7, we perform the division: 142 ÷ 7 = 20, remainder 2. Next, multiplying the remainder by 5 gives us 2 × 5 = 10. Finally, adding 12 to the result gives 10 + 12 = 22. Therefore, the answer is 22.

Math question: What is the sum of the prime factors of 142?

To find the prime factors of 142, we prime factorize it as 2 * 71. The sum of these prime factors is 2 + 71 = 73. So, the answer is 73, which represents the sum of the prime factors of 142. Prime factors play a crucial role in number theory, as recognizing them helps us understand the properties and structure of numbers. They are the building blocks that make up a number and are prime numbers that divide into the number exactly. In this case, 2 and 71 are the prime factors of 142.

Math question: What is the sum of all even three-digit numbers greater than or equal to 142?

To find the sum, we start by determining the number of terms. The smallest even three-digit number is 142, while the largest is 998. The total numbers in this sequence can be calculated as (998 - 142) / 2 + 1 = 429. The average of the first and last term is (142 + 998) / 2 = 570. Therefore, the sum of all even three-digit numbers from 142 to 998 is 429 × 570 = 244,830. Alternatively, we can solve this sum by writing the sequence as 142, 144, 146, ..., 996, 998. Notice that if we divide each term by 2, we have 71, 72, 73, ..., 498, 499. The sum of this arithmetic sequence is given by S = (n / 2)(first term + last term), where n is the number of terms. Substituting in the values, we get S = (429 / 2)(71 + 499) = 429 × 285 = 122,565. Now, recalling that we divided each term by 2, we multiply this result by 2 to obtain the sum of the original sequence: 122,565 × 2 = 245,130. Both answers are within the specified limit of 500 characters.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

142 (number)

142 is an even 3-digits composite number following 141 and preceding 143. In scientific notation, it is written as 1.42 × 10^2. The sum of its digits is 7. It has a total of 2 prime factors and 4 positive divisors. There are 70 positive integers (up to 142) that are relatively prime to 142.

Interesting facts

142 has 4 divisors, whose sum is 216
The reverse of 142 is 241
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 3
Sum of Digits 7
Digital Root 7

Name

Name	one hundred forty-two

Notation

Scientific notation	1.42 × 10^2
Engineering notation	1.42 × 10^0

Prime Factorization of 142

Prime Factorization 2 × 71

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	142	Product of the distinct prime numbers

The prime factorization of 142 is 2 × 71. Since it has a total of 2 prime factors.

Most popular turbo-numbers

8, 10, 65, 4, 578, 180, 9869, 5384, 16902, 40858, 797691, 169211, 2784516, 4135927, 73105610, 68224951, 882042501, 12859694, 9073018322, 7491482261

Basic calculations (n = 142)

Multiplication

n×y

n×2	284
n×3	426
n×4	568
n×5	710

Division

n÷y

n÷2	71
n÷3	47.333333333333
n÷3	35.5
n÷5	28.4

Exponentiation

n^y

n²	20164
n³	2863288
n⁴	406586896
n⁵	57735339232

Nth Root

^y√n

²√n	11.916375287813
³√n	5.2171034462762
⁴√n	3.4520103255658
⁵√n	2.694372696313

Divisors of 142

1, 2, 71, 142

4 divisors

τ	Total Divisors	4	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-141	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.25	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	4	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 142 can be divided by 4 positive divisors. The sum of these divisors (counting 142) is 1, the average is 0.25.

Base conversion 142

Base	System	Value
2	Binary	10001110
3	Ternary	12021
4	Quaternary	2032
5	Quinary	1032
6	Senary	354
8	Octal	216
10	Decimal	142
12	Duodecimal	ba
16	Hexadecimal	8e
20	Vigesimal	72
36	Base36	3y

Cryptographic Hash Functions

md5	a8baa56554f96369ab93e4f3bb068c22
sha1	2a2b47bf21a372f267deccbb420567f3d450b3c0
sha256	d4ee9f58e5860574ca98e3b4839391e7a356328d4bd6afecefc2381df5f5b41b
sha512	e2d665d64deb73cf15ae11fbdbf1b821ffce181efd5ee9846ef05209486de8057a6535f2bae0418030e34eba099ee9e695708a0e9c6d9ddcf78b4b3a8b4f27ab
ripemd-160	a78d2b864497f69adbed843fa4d982ef84decf9a

142 as geometric shapes

Circle

Radius = n

Diameter	284
Circumference	892.2123136195
Area	63347.074266985

Sphere

Radius = n

Volume	11993712.727882
Surface area	253388.29706794
Circumference	892.2123136195

Square

Length = n

Perimeter	568
Area	20164
Diagonal	200.81832585698

Cube

Length = n

Surface area	120984
Volume	2863288
Space diagonal	245.95121467478

Equilateral Triangle

Length = n

Perimeter	426
Area	8731.2681209547
Altitude	122.97560733739

Triangular Pyramid

Length = n

Surface area	8731.2681209547
Volume	337441.72688168
Height	66.939441952327