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142182144 = 28321347101
BaseRepresentation
bin10000111100110…
…00011100000000
3100220112121020100
420132120130000
5242344312034
622035242400
73344346126
oct1036303400
9326477210
10142182144
1173292605
123b749400
13235c2660
1414c51916
15c738099
hex8798700

142182144 has 216 divisors, whose sum is σ = 455337792. Its totient is φ = 42393600.

The previous prime is 142182143. The next prime is 142182181. The reversal of 142182144 is 441281241.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142182143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407694 + ... + 1407794.

Almost surely, 2142182144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142182144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227668896).

142182144 is an abundant number, since it is smaller than the sum of its proper divisors (313155648).

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

142182144 is a wasteful number, since it uses less digits than its factorization.

142182144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 142182144 is about 11924.0154310534. The cubic root of 142182144 is about 521.9333160072.

The spelling of 142182144 in words is "one hundred forty-two million, one hundred eighty-two thousand, one hundred forty-four".