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144322119 = 32191934373
BaseRepresentation
bin10001001101000…
…10111001000111
3101001120022201200
420212202321013
5243421301434
622153153543
73401501124
oct1046427107
9331508650
10144322119
1174514387
12403bb8b3
1323b91706
141524b74b
15ca0c199
hex89a2e47

144322119 has 24 divisors (see below), whose sum is σ = 220624560. Its totient is φ = 90657792.

The previous prime is 144322099. The next prime is 144322153. The reversal of 144322119 is 911223441.

It is a happy number.

144322119 is a `hidden beast` number, since 1 + 443 + 2 + 211 + 9 = 666.

It is not a de Polignac number, because 144322119 - 29 = 144321607 is a prime.

It is a super-2 number, since 2×1443221192 = 41657748065300322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144322092 and 144322101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144322169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30817 + ... + 35189.

It is an arithmetic number, because the mean of its divisors is an integer number (9192690).

Almost surely, 2144322119 is an apocalyptic number.

144322119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

144322119 is a deficient number, since it is larger than the sum of its proper divisors (76302441).

144322119 is a wasteful number, since it uses less digits than its factorization.

144322119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591 (or 4588 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 144322119 is about 12013.4141275493. The cubic root of 144322119 is about 524.5388167636.

It can be divided in two parts, 144322 and 119, that added together give a palindrome (144441).

The spelling of 144322119 in words is "one hundred forty-four million, three hundred twenty-two thousand, one hundred nineteen".

Divisors: 1 3 9 19 57 171 193 579 1737 3667 4373 11001 13119 33003 39357 83087 249261 747783 843989 2531967 7595901 16035791 48107373 144322119