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144404864 = 271959377
BaseRepresentation
bin10001001101101…
…11000110000000
3101001201112020022
420212313012000
5243431423424
622155033012
73402264302
oct1046670600
9331645208
10144404864
117457056a
124043b768
1323bc0286
141526d972
15ca2695e
hex89b7180

144404864 has 32 divisors (see below), whose sum is σ = 302827800. Its totient is φ = 68401152.

The previous prime is 144404861. The next prime is 144404893. The reversal of 144404864 is 468404441.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144404861) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 27257 + ... + 32120.

Almost surely, 2144404864 is an apocalyptic number.

It is an amenable number.

144404864 is an abundant number, since it is smaller than the sum of its proper divisors (158422936).

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

144404864 is an equidigital number, since it uses as much as digits as its factorization.

144404864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59410 (or 59398 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

The square root of 144404864 is about 12016.8574927058. The cubic root of 144404864 is about 524.6390431934.

The spelling of 144404864 in words is "one hundred forty-four million, four hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 59377 118754 237508 475016 950032 1128163 1900064 2256326 3800128 4512652 7600256 9025304 18050608 36101216 72202432 144404864