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144430164 = 223217235997
BaseRepresentation
bin10001001101111…
…01010001010100
3101001202210221100
420212331101110
5243433231124
622155350100
73402431124
oct1046752124
9331683840
10144430164
117458857a
1240452330
1323bcb948
1415278c84
15ca2e1c9
hex89bd454

144430164 has 36 divisors (see below), whose sum is σ = 386564724. Its totient is φ = 45311232.

The previous prime is 144430157. The next prime is 144430177. The reversal of 144430164 is 461034441.

It can be written as a sum of positive squares in 2 ways, for example, as 39162564 + 105267600 = 6258^2 + 10260^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 117387 + ... + 118610.

It is an arithmetic number, because the mean of its divisors is an integer number (10737909).

Almost surely, 2144430164 is an apocalyptic number.

It is an amenable number.

144430164 is an abundant number, since it is smaller than the sum of its proper divisors (242134560).

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

144430164 is a wasteful number, since it uses less digits than its factorization.

144430164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236024 (or 236019 counting only the distinct ones).

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

The square root of 144430164 is about 12017.9101344618. The cubic root of 144430164 is about 524.6696806487.

The spelling of 144430164 in words is "one hundred forty-four million, four hundred thirty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 235997 471994 707991 943988 1415982 2123973 2831964 4011949 4247946 8023898 8495892 12035847 16047796 24071694 36107541 48143388 72215082 144430164