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142433280 = 21032511281
BaseRepresentation
bin10000111110101…
…01110000000000
3100221000100201200
420133111300000
5242430331110
622044501200
73346443243
oct1037256000
9327010650
10142433280
1173444260
123b84a800
132367ca62
1414cb925a
15c7876c0
hex87d5c00

142433280 has 264 divisors, whose sum is σ = 540309744. Its totient is φ = 34406400.

The previous prime is 142433261. The next prime is 142433309. The reversal of 142433280 is 82334241.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506740 + ... + 507020.

Almost surely, 2142433280 is an apocalyptic number.

142433280 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 142433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270154872).

142433280 is an abundant number, since it is smaller than the sum of its proper divisors (397876464).

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

142433280 is a wasteful number, since it uses less digits than its factorization.

142433280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 142433280 is about 11934.5414658461. The cubic root of 142433280 is about 522.2404318047.

The spelling of 142433280 in words is "one hundred forty-two million, four hundred thirty-three thousand, two hundred eighty".