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164312141 = 724771347
BaseRepresentation
bin10011100101100…
…11010001001101
3102110011220212212
421302303101031
5314030442031
624145440205
74033426100
oct1162632115
9373156785
10164312141
1184828164
1247040065
1328070426
1417b72737
15e65a12b
hex9cb344d

164312141 has 12 divisors (see below), whose sum is σ = 195208128. Its totient is φ = 137840472.

The previous prime is 164312117. The next prime is 164312147. The reversal of 164312141 is 141213461.

164312141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164312141 - 26 = 164312077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164312147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33371 + ... + 37976.

It is an arithmetic number, because the mean of its divisors is an integer number (16267344).

Almost surely, 2164312141 is an apocalyptic number.

It is an amenable number.

164312141 is a deficient number, since it is larger than the sum of its proper divisors (30895987).

164312141 is an equidigital number, since it uses as much as digits as its factorization.

164312141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71408 (or 71401 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 164312141 is about 12818.4297400267. The cubic root of 164312141 is about 547.7174171774.

The spelling of 164312141 in words is "one hundred sixty-four million, three hundred twelve thousand, one hundred forty-one".

Divisors: 1 7 47 49 329 2303 71347 499429 3353309 3496003 23473163 164312141