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144312012 = 223213308359
BaseRepresentation
bin10001001101000…
…00011011001100
3101001112210212100
420212200123030
5243420441022
622153035100
73401426505
oct1046403314
9331483770
10144312012
1174507829
12403b5a90
1323b89c30
1415247bac
15ca091ac
hex89a06cc

144312012 has 36 divisors (see below), whose sum is σ = 392850640. Its totient is φ = 44403552.

The previous prime is 144312001. The next prime is 144312019. The reversal of 144312012 is 210213441.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144312019) 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 11 ways as a sum of consecutive naturals, for example, 153712 + ... + 154647.

Almost surely, 2144312012 is an apocalyptic number.

144312012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144312012 is an abundant number, since it is smaller than the sum of its proper divisors (248538628).

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

144312012 is a wasteful number, since it uses less digits than its factorization.

144312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308382 (or 308377 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144312012 is about 12012.9934654107. The cubic root of 144312012 is about 524.5265718455.

Adding to 144312012 its reverse (210213441), we get a palindrome (354525453).

The spelling of 144312012 in words is "one hundred forty-four million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 308359 616718 925077 1233436 1850154 2775231 3700308 4008667 5550462 8017334 11100924 12026001 16034668 24052002 36078003 48104004 72156006 144312012