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144312006 = 2331775871
BaseRepresentation
bin10001001101000…
…00011011000110
3101001112210212010
420212200123012
5243420441011
622153035050
73401426466
oct1046403306
9331483763
10144312006
1174507823
12403b5a86
1323b89c27
1415247ba6
15ca091a6
hex89a06c6

144312006 has 16 divisors (see below), whose sum is σ = 297934848. Its totient is φ = 46552200.

The previous prime is 144312001. The next prime is 144312019. The reversal of 144312006 is 600213441.

It is a super-3 number, since 3×1443120063 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144312001) 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 7 ways as a sum of consecutive naturals, for example, 387750 + ... + 388121.

It is an arithmetic number, because the mean of its divisors is an integer number (18620928).

Almost surely, 2144312006 is an apocalyptic number.

144312006 is an abundant number, since it is smaller than the sum of its proper divisors (153622842).

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

144312006 is a wasteful number, since it uses less digits than its factorization.

144312006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775907.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 144312006 is about 12012.9932156811. The cubic root of 144312006 is about 524.5265645761.

Adding to 144312006 its reverse (600213441), we get a palindrome (744525447).

The spelling of 144312006 in words is "one hundred forty-four million, three hundred twelve thousand, six".

Divisors: 1 2 3 6 31 62 93 186 775871 1551742 2327613 4655226 24052001 48104002 72156003 144312006