What is 4 to the power of 9?

4⁹ = 262,144. 4 to the power 9 means 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 = 262,144. 262,144 = 2 to the 18 = 512 squared. Standard RAM size in some embedded systems.

What is the prime factorisation of 262,144?

262,144 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2. Also equals: 8⁶ = 262,144.

4¹⁰ = 262,144 x 4 = 1,048,576.

4 to the Power of 9 — 4⁹ = 262,144

4 to the power of 9 (4⁹) equals 262,144. This means 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 = 262,144. Result has 6 digits, prime factorisation 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2....

4⁹ = ?

4 TO THE POWER OF 9

262,144

4⁹ = 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 = 262,144

Value

262,144

Base

Exponent

Number of digits

Digit sum

Even or odd?

Even

Divisible by 10?

Perfect square?

Yes ✓

STEP-BY-STEP

4⁹ means multiply 4 by itself 9 times

4 × 4 = 16

16 × 4 = 64

64 × 4 = 256

256 × 4 = 1,024

1,024 × 4 = 4,096

4,096 × 4 = 16,384

16,384 × 4 = 65,536

65,536 × 4 = 262,144

4⁹ = 262,144

PRIME FACTORISATION

262,144 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

= 4⁹ (all factors are 4)

SAME VALUE — OTHER BASES

8⁶ = 262,144

FUN FACT

262144 equals 2 to the 18 and 512 squared.

POWERS OF 4 (1 → 9)

4¹

4²

4³

4⁴

256

4⁵

1,024

4⁶

4,096

4⁷

16,384

4⁸

65,536

4⁹

262,144

ALL POWERS OF 4 (1–10)

4¹4 4²16 4³64 4⁴256 4⁵1,024 4⁶4,096 4⁷16,384 4⁸65,536 4⁹262,144you 4¹⁰1,048,576

EXPONENT LAWS

4⁹ × 4= 4¹⁰ = 1,048,576

4⁹ × 4⁹= 4¹⁸ = 68,719,476,736

4⁹ ÷ 4= 4⁸ = 65,536

√(4⁹)= 4⁵ = 512 (exact)

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HOW TO CALCULATE

1
4⁹ means multiply 4 by itself 9 times.
2
Multiplication chain: 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 = 262,144.
3
The result is 262,144 - 6 digits, prime factorisation: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2.
4
Check: 4⁸ x 4 = 65,536 x 4 = 262,144.

WORKED EXAMPLE

4⁹ = 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 = 262,144. Digits: 6. Prime factors: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2. Also: 8⁶ = 262,144.

FREQUENTLY ASKED QUESTIONS

OTHER BASES TO THE POWER OF 9

2⁹

512

3⁹

19,683

5⁹

1,953,125

6⁹

10,077,696

7⁹

40,353,607

8⁹

134,217,728

9⁹

387,420,489

10⁹

1,000,000,000

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Last updated: April 28, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.