Math question: What is the sum of all prime numbers greater than 100 and less than 200, excluding 157?

To find the sum of prime numbers between 100 and 200, excluding 157, we start by listing all prime numbers in that range: 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, and 199. We exclude 157 as stated. Now, adding the remaining numbers: 101 + 103 + 107 + 109 + 113 + 127 + 131 + 137 + 139 + 149 + 151 + 163 + 167 + 173 + 179 + 181 + 191 + 193 + 197 + 199 = 3044. Therefore, the sum of the prime numbers between 100 and 200, excluding 157, is 3044.

Math question: If you multiply a number by 3, subtract 8, divide by 4, and subtract 12, the result is 157. What is the original number?

Let's assume the original number is x. According to the given equation, (((3*x) - 8) / 4) - 12 = 157. To solve this, we simplify by multiplying 3*x - 8 to get (3x - 8) / 4 - 12 = 157. Next, we multiply both sides of the equation by 4 to eliminate the fraction, resulting in 3x - 8 - 48 = 628. Simplifying further, we have 3x - 56 = 628. By adding 56 to both sides, we get 3x = 684. Finally, dividing both sides by 3, we find x = 228. Thus, the original number is 228.

Math question: If you multiply the number 157 by 3, subtract 12, and then divide the result by 5, what is the final value?

To find the final value, we multiply 157 by 3, getting 471. Then, we subtract 12 from 471, which gives us 459. Finally, dividing 459 by 5 yields a final value of 91.8.

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

157 (number)

157 is an odd 3-digits prime number following 156 and preceding 158. In scientific notation, it is written as 1.57 × 10^2. The sum of its digits is 13. It has a total of 1 prime factors and 2 positive divisors. There are 156 positive integers (up to 157) that are relatively prime to 157.

Interesting facts

157 has 2 divisors, whose sum is 158
The reverse of 157 is 751
Previous prime number is 1

Basic properties

Is Prime? yes
Number parity odd
Number length 3
Sum of Digits 13
Digital Root 4

Name

Name	one hundred fifty-seven

Notation

Scientific notation	1.57 × 10^2
Engineering notation	1.57 × 10^0

Prime Factorization of 157

Prime Factorization 157

Composite number

ω	Distinct Factors	1	Total number of distinct prime factors
Ω	Total Factors	1	Total number of prime factors
rad	Radical	157	Product of the distinct prime numbers

The prime factorization of 157 is 157. Since it has a total of 1 prime factors.

Most popular turbo-numbers

7, 2, 57, 36, 140, 565, 6517, 696, 74407, 85183, 551440, 901796, 8628068, 9270206, 45656955, 79962947, 366187533, 258902712, 7360990252, 8251779886

Basic calculations (n = 157)

Multiplication

n×y

n×2	314
n×3	471
n×4	628
n×5	785

Division

n÷y

n÷2	78.5
n÷3	52.333333333333
n÷3	39.25
n÷5	31.4

Exponentiation

n^y

n²	24649
n³	3869893
n⁴	607573201
n⁵	95388992557

Nth Root

^y√n

²√n	12.529964086142
³√n	5.3946907121096
⁴√n	3.5397689311792
⁵√n	2.7490328559325

Divisors of 157

1, 157

2 divisors

τ	Total Divisors	2	Total number of the positive divisors of n
σ	Sum of Divisors	158	Sum of all the positive divisors of n
s	Aliquot Sum	1	Sum of the proper positive divisors of n
A	Arithmetic Mean	79	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	12.569805089977	Returns the nth root of the product of n divisors
H	Harmonic Mean	1.9873417721519	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 157 can be divided by 2 positive divisors. The sum of these divisors (counting 157) is 158, the average is 79.

Base conversion 157

Base	System	Value
2	Binary	10011101
3	Ternary	12211
4	Quaternary	2131
5	Quinary	1112
6	Senary	421
8	Octal	235
10	Decimal	157
12	Duodecimal	111
16	Hexadecimal	9d
20	Vigesimal	7h
36	Base36	4d

Cryptographic Hash Functions

md5	6c4b761a28b734fe93831e3fb400ce87
sha1	097ccd4f03d962011101c1221009e53461a0993f
sha256	c75de23d89df36ba921287616ee8edb4c986e328a78e033e57c1e5e2b59c838e
sha512	e6e6ae7966b178f8c40d5eff47454435fbd1452a340b82e5895063f93c1c344d853972c982f9120ea1b9afa4f9597366fb3a557b7e812661e949a1abafaacdcc
ripemd-160	7d7cf6010dedd0555a44a494e1ce19b253c8ff7e

157 as geometric shapes

Circle

Radius = n

Diameter	314
Circumference	986.46009322719
Area	77437.117318335

Sphere

Radius = n

Volume	16210169.891971
Surface area	309748.46927334
Circumference	986.46009322719

Square

Length = n

Perimeter	628
Area	24649
Diagonal	222.03152929258

Cube

Length = n

Surface area	147894
Volume	3869893
Space diagonal	271.93197678831

Equilateral Triangle

Length = n

Perimeter	471
Area	10673.330088941
Altitude	135.96598839416

Triangular Pyramid

Length = n

Surface area	10673.330088941
Volume	456071.26379439
Height	74.010509764192