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144234310329 = 32191121375223
BaseRepresentation
bin1000011001010100001…
…0001110101010111001
3111210021221022010112200
42012111002032222321
54330342440412304
6150132121500413
713264155260244
oct2062502165271
9453257263480
10144234310329
115619556516a
1223b53941709
13107a7bc1875
146da3b3625b
153b4282be39
hex219508eab9

144234310329 has 24 divisors (see below), whose sum is σ = 219326103360. Its totient is φ = 91086018912.

The previous prime is 144234310327. The next prime is 144234310387. The reversal of 144234310329 is 923013432441.

144234310329 is a `hidden beast` number, since 14 + 4 + 2 + 3 + 4 + 310 + 329 = 666.

It is not a de Polignac number, because 144234310329 - 21 = 144234310327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144234310293 and 144234310302.

It is not an unprimeable number, because it can be changed into a prime (144234310327) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1879812 + ... + 1955034.

It is an arithmetic number, because the mean of its divisors is an integer number (9138587640).

Almost surely, 2144234310329 is an apocalyptic number.

144234310329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

144234310329 is a deficient number, since it is larger than the sum of its proper divisors (75091793031).

144234310329 is a wasteful number, since it uses less digits than its factorization.

144234310329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86461 (or 86458 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 144234310329 in words is "one hundred forty-four billion, two hundred thirty-four million, three hundred ten thousand, three hundred twenty-nine".

Divisors: 1 3 9 19 57 171 11213 33639 75223 100917 213047 225669 639141 677007 1429237 1917423 4287711 12863133 843475499 2530426497 7591279491 16026034481 48078103443 144234310329