442 in Roman Numerals

442

C (subtracted)DX (subtracted)LII

four hundred forty-two

How CDXLII is formed

PlaceValueSymbols
Hundreds400C (subtracted)D
Tens40X (subtracted)L
Units2II
Total442CDXLII

CDXLII is written one place at a time, from the largest to the smallest: CD (400) + XL (40) + II (2) = 442.

CD and XL are subtractive pairs: in each one the smaller symbol comes first and is taken away.

Common mistakes

Wrong: CCCCXLII

Why isn't 442 written as CCCCXLII?

A symbol can't be repeated four times in a row. 400 is CD (500 − 100), not CCCC, so 442 is CDXLII.

Wrong: CDXXXXII

Why isn't 442 written as CDXXXXII?

A symbol can't be repeated four times in a row. 40 is XL (50 − 10), not XXXX, so 442 is CDXLII.

Wrong: CCCCXXXXII

Why isn't 442 written as CCCCXXXXII?

No symbol can be repeated four times in a row, so CCCC and XXXX are not used: 400 = CD, 40 = XL. Together they make CDXLII.

Numbers near 442

Properties of 442

Prime factors
2 × 13 × 17
Divisors
1, 2, 13, 17, 26, 34, 221, 442
Even or odd
Even
Prime number
No
Letters in CDXLII
6

442,000 in Roman numerals

With a bar over it (vinculum), C̅D̅X̅L̅I̅I̅ means 442 × 1,000 = 442,000. How Roman numerals work

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