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142441043200 = 285243212037
BaseRepresentation
bin1000010010101000100…
…1011101010100000000
3111121122221221201111121
42010222021131110000
54313204401340300
6145234141522024
713201551614221
oct2045211352400
9447587851447
10142441043200
115545528a015
1223733273314
131058051b261
146c738d3248
153a8a1a381a
hex212a25d500

142441043200 has 162 divisors, whose sum is σ = 360983662494. Its totient is φ = 55646760960.

The previous prime is 142441043179. The next prime is 142441043233. The reversal of 142441043200 is 2340144241.

It can be written as a sum of positive squares in 3 ways, for example, as 1329623296 + 141111419904 = 36464^2 + 375648^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11827582 + ... + 11839618.

Almost surely, 2142441043200 is an apocalyptic number.

142441043200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142441043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180491831247).

142441043200 is an abundant number, since it is smaller than the sum of its proper divisors (218542619294).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142441043200 is an equidigital number, since it uses as much as digits as its factorization.

142441043200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12149 (or 12087 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 142441043200 its reverse (2340144241), we get a palindrome (144781187441).

The spelling of 142441043200 in words is "one hundred forty-two billion, four hundred forty-one million, forty-three thousand, two hundred".