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144364104 = 23322005057
BaseRepresentation
bin10001001101011…
…01001001001000
3101001122110022200
420212231021020
5243424122404
622154120200
73402034413
oct1046551110
9331573280
10144364104
1174542985
1240420060
1323ba7861
141525cb7a
15ca19839
hex89ad248

144364104 has 24 divisors (see below), whose sum is σ = 390986310. Its totient is φ = 48121344.

The previous prime is 144364093. The next prime is 144364111. The reversal of 144364104 is 401463441.

144364104 is a `hidden beast` number, since 14 + 4 + 3 + 641 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72284004 + 72080100 = 8502^2 + 8490^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 1002457 + ... + 1002600.

Almost surely, 2144364104 is an apocalyptic number.

It is an amenable number.

144364104 is an abundant number, since it is smaller than the sum of its proper divisors (246622206).

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

144364104 is a wasteful number, since it uses less digits than its factorization.

144364104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005069 (or 2005062 counting only the distinct ones).

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

The square root of 144364104 is about 12015.1614221366. The cubic root of 144364104 is about 524.5896766668.

The spelling of 144364104 in words is "one hundred forty-four million, three hundred sixty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2005057 4010114 6015171 8020228 12030342 16040456 18045513 24060684 36091026 48121368 72182052 144364104