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142611168 = 253736171
BaseRepresentation
bin10001000000000…
…01001011100000
3100221100101202010
420200001023200
5243002024133
622052352520
73351114000
oct1040011340
9327311663
10142611168
1173555977
123b915740
1323712a0b
1414d24000
15c7c0263
hex88012e0

142611168 has 192 divisors, whose sum is σ = 449971200. Its totient is φ = 39513600.

The previous prime is 142611151. The next prime is 142611173. The reversal of 142611168 is 861116241.

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

Its product of digits (2304) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2008573 + ... + 2008643.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2142611168 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 142611168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

142611168 is an abundant number, since it is smaller than the sum of its proper divisors (307360032).

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

142611168 is an equidigital number, since it uses as much as digits as its factorization.

142611168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 142611168 is about 11941.9917936666. The cubic root of 142611168 is about 522.4577538090.

The spelling of 142611168 in words is "one hundred forty-two million, six hundred eleven thousand, one hundred sixty-eight".