Watts to Attowatts Converter (W to aW)

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Live Conversion • ISO 80000-4:2019 Certified

1 Watt = 1 × 10¹⁸ Attowatt

1 W = 1 × 10¹⁸ aW • 1 aW = 1 × 10⁻¹⁸ W

Decimals:

Certified Authority Value

1000000000000000000.00000000

From / Input

Swap to Attowatt to Watt

To / Result

Quick Values:

Conversion Formula

To convert Watt to Attowatt, multiply by 1 × 10¹⁸

W × 1 × 10¹⁸ = aW

Calculation: 1 W × 1 × 10¹⁸ = 1 × 10¹⁸ aW

Common Watt to Attowatt Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Watt (W) and Attowatt (aW).

Tap any row to calculate

Watt to Attowatt: Primary Direct Table (15 Steps)

Rule: 1 Watt is equal to 1 × 10¹⁸ aW (Attowatt)

Watt to Attowatt Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 W 1 × 10¹⁵ aW	1 × 10¹⁵
0.01 W 1 × 10¹⁶ aW	1 × 10¹⁶
0.1 W 1 × 10¹⁷ aW	1 × 10¹⁷
0.5 W 5 × 10¹⁷ aW	5 × 10¹⁷
1 W 1 × 10¹⁸ aW	1 × 10¹⁸
2 W 2 × 10¹⁸ aW	2 × 10¹⁸
5 W 5 × 10¹⁸ aW	5 × 10¹⁸
10 W 1 × 10¹⁹ aW	1 × 10¹⁹
20 W 2 × 10¹⁹ aW	2 × 10¹⁹
25 W 2.5 × 10¹⁹ aW	2.5 × 10¹⁹
50 W 5 × 10¹⁹ aW	5 × 10¹⁹
100 W 1 × 10²⁰ aW	1 × 10²⁰
250 W 2.5 × 10²⁰ aW	2.5 × 10²⁰
500 W 5 × 10²⁰ aW	5 × 10²⁰
1000 W 1 × 10²¹ aW	1 × 10²¹

Attowatt to Watt: Reciprocal Summary

Rule: 1 Attowatt is equal to 1 × 10⁻¹⁸ W (Watt)

Attowatt to Watt Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 aW 1 × 10⁻¹⁸ W	1 × 10⁻¹⁸
5 aW 5 × 10⁻¹⁸ W	5 × 10⁻¹⁸
10 aW 1 × 10⁻¹⁷ W	1 × 10⁻¹⁷
50 aW 5 × 10⁻¹⁷ W	5 × 10⁻¹⁷
100 aW 1 × 10⁻¹⁶ W	1 × 10⁻¹⁶

View Complete 15-Row Attowatt to Watt Table

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Watt (W) and Attowatt (aW):

Watt References:

Small decorative holiday LED string light bulb power draw 1 W
Fast-charging smartphone USB-C wall power adapter output 20 W
Average adult human resting metabolic heat dissipation output 100 W
High-performance desktop gaming computer power supply rating 750 W

Attowatt References:

Single microscopic quantum nanomechanical cantilever thermal Brownian dissipation 1 aW

Tap any benchmark above to automatically calculate its exact equivalent in Attowatt.

ISQ Dimension: [M L² T⁻³] Coherent SI Unit: watt (W) Chemical Engineering, Solutions & Physical Chemistry

How to Convert Watt to Attowatt

Converting Watt (W) to Attowatt (aW) is a core calculation in Power, which measures the rate of energy expenditure, conversion, or work transfer per unit of time. Both units reside within the International System of Units (SI) and share an identical physical dimension vector ([M L² T⁻³]), separated strictly by a decimal order-of-magnitude factor (10^18). Because this shift involves integer powers of 10, the conversion is mathematically exact and free from decimal rounding or irrational fractional loss. Exactly 1 Watt equals 1 × 10¹⁸ Attowatt.

Direct Factor1 W = 1 × 10¹⁸ aW

Inverse Ratio1 aW = 1 × 10⁻¹⁸ W

Conversion ScalePure SI Metric Prefix Shift (10ⁿ Decimal Scaling)

First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (watt (W)) without arbitrary rounding:

V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)

Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)

1. Source SI Bridge (k_source):1 W = 1 watt (W)

2. Target SI Bridge (k_target):1 aW = 1 × 10⁻¹⁸ watt (W)

Step-by-step substitution for Watt → Attowatt:V(aW) = V(W) × ( 1 / 1 × 10⁻¹⁸ ) = V(W) × 1 × 10¹⁸

Mathematical FormulaValue in Attowatt = Value in Watt × 1 × 10¹⁸Direct computational formula applied for standard conversion.

Worked Example

Evaluating an input of 120 Watt (W) produces 1.2 × 10²⁰ Attowatt (aW). In heavy-duty utility and industrial workloads, 10000 W equals 1 × 10²² aW.

Inverse check: 1 aW = 1 × 10⁻¹⁸ W.

Understanding Watt and Attowatt

Domain Metrology & Engineering Applications

Governing Law & Equation

Mechanical & Thermodynamic Energy Rate (P = dW/dt = F · v)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using precision digital power analyzers (Yokogawa-type), absorption water-brake dynamometers, and RF thermistor bolometer mounts.

Primary Industry Sectors

Applied across electric vehicle powertrain dyno testing, renewable solar inverter rating, industrial steam turbine generation, and data center power management under international metrology standard ISO 80000-4:2019, NIST SP 811.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering Reference	Reference Value	Converted to Attowatt
Small decorative holiday LED string light bulb power draw	`1 W`	`1 × 10¹⁸ aW`
Fast-charging smartphone USB-C wall power adapter output	`20 W`	`2 × 10¹⁹ aW`
Average adult human resting metabolic heat dissipation output	`100 W`	`1 × 10²⁰ aW`
High-performance desktop gaming computer power supply rating	`750 W`	`7.5 × 10²⁰ aW`

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-4:2019, NIST SP 811 and the BIPM SI Brochure (9th Edition). Governed by Mechanical & Thermodynamic Energy Rate (P = dW/dt = F · v) under ISO 80000 dimensional vector [M L² T⁻³].

Multi-Variable Engineering Bridge Continuous Power & Energy Storage

Continuous Power & Load Duration Bridge (Joules • kWh • Megajoules • Watt-Hours • BTU)

Calculate total energy consumption and utility billing E = P × t across equipment operating duty cycles, bridging power [M L² T⁻³] with energy [M L² T⁻²].

Input Equipment Power Rating (P): W

Select Operating Timespan: 3600 s

Governing Law: E = P × t

Vector: [W] × [s] → [J]

Live Calculated Bridge Equivalent:

1 W at 1 Hour Continuous Run (3,600 s) = 3600 J

Equals 3.6 kJ • 0.0036 MJ • 0.001 kWh

SI Energy

3600

Joules

Thermal Scale

3.6

Kilojoules

Bulk Energy

0.0036

Megajoules

Electric Utility Meter

0.001

kWh

Kilowatt-Hours

Battery Capacity

Watt-Hours

Imperial Thermal

3.4121

BTU

British Thermal Units

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (W):
P = 1 W × 1 = 1 W
2. Apply Engineering Parameter (t):
Selected condition: 1 Hour Continuous Run (3,600 s) at t = 3600 s
3. Execute Governing Physical Law in SI Units:
E = P × t = (1 W) × (3600 s) = 3600 J
4. Convert to Standard Engineering Units:
• J: 3600 × 1 = 3600 J (Joules) • kJ: 3600 × 0.001 = 3.6 kJ (Kilojoules) • MJ: 3600 × 1 × 10⁻⁶ = 0.0036 MJ (Megajoules) • kWh: 3600 × 2.7778 × 10⁻⁷ = 0.001 kWh (Kilowatt-Hours) • Wh: 3600 × 0.0002778 = 1 Wh (Watt-Hours) • BTU: 3600 × 0.0009478 = 3.4121 BTU (British Thermal Units)

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Engineering Substance / Operating Standard	Parameter Value (s)	Reference State / Condition	Typical Industrial & Engineering Application
1 Hour Continuous Run (3,600 s)	`3600`	3,600 s (1 hour)	Standard 1-hour utility metering basis
8-Hour Commercial Work Shift (28,800 s)	`28800`	28,800 s (8 hours)	Single factory shift run time
24-Hour Continuous Operation (86,400 s)	`86400`	86,400 s (1 day)	24/7 server rack or process pump
30-Day Monthly Billing Cycle (2,592,000 s)	`2592000`	2,592,000 s (720 hours)	Monthly utility electric billing cycle
1 Full Year (8,760 hours / 31,536,000 s)	`3.1536 × 10⁷`	31,536,000 s (1 year)	Annual facility energy footprint

Frequently Asked Questions

There are exactly 1 × 10¹⁸ attowatts (aW) in 1 watt (W). To calculate larger amounts manually, simply multiply your total number of watts by the conversion multiplier of 1 × 10¹⁸.

The mathematical formula to convert watts to attowatts is: [value] * 1 × 10¹⁸ = attowatts. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from attowatts back to watts, you must divide your starting value by 1 × 10¹⁸. Our bidirectional tool automatically computes this inverse equation the moment you type into the attowatt input field.

1 Watt is larger than 1 Attowatt. Specifically, 1 Watt equals exactly 1 × 10¹⁸ attowatts, making it 1 × 10¹⁸ times larger (a difference of 18.00 orders of magnitude). Therefore, quantities expressed in attowatts require a larger numerical value to represent the same physical amount.

A typical small decorative holiday LED string light bulb power draw measures 1 W, which corresponds to 1 × 10¹⁸ Attowatt (Attowatt).