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144144112212 = 223229138069073
BaseRepresentation
bin1000011000111110101…
…0001001101001010100
3111210001122120120222200
42012033222021221110
54330201343042322
6150115140324500
713262011511052
oct2061752115124
9453048516880
10144144112212
1156149658a71
1223b296a3730
13107923006b9
146d95b771d2
153b399618ac
hex218fa89a54

144144112212 has 36 divisors (see below), whose sum is σ = 376928572020. Its totient is φ = 46391208192.

The previous prime is 144144112187. The next prime is 144144112261. The reversal of 144144112212 is 212211441441.

144144112212 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 441 + 1 + 2 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54338407236 + 89805704976 = 233106^2 + 299676^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69033493 + ... + 69035580.

Almost surely, 2144144112212 is an apocalyptic number.

144144112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144144112212 is an abundant number, since it is smaller than the sum of its proper divisors (232784459808).

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

144144112212 is a wasteful number, since it uses less digits than its factorization.

144144112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138069112 (or 138069107 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

Adding to 144144112212 its reverse (212211441441), we get a palindrome (356355553653).

The spelling of 144144112212 in words is "one hundred forty-four billion, one hundred forty-four million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 138069073 276138146 414207219 552276292 828414438 1242621657 1656828876 2485243314 4004003117 4970486628 8008006234 12012009351 16016012468 24024018702 36036028053 48048037404 72072056106 144144112212