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144441254422049 = 13195994710466279
BaseRepresentation
bin100000110101111001011001…
…101010010010011000100001
3200221102110010100222101120112
4200311321121222102120201
5122413011142113001144
61231111221330421105
742265351636015154
oct4065713152223041
9627373110871515
10144441254422049
1142029212600092
1214249823a31795
1362799a0a67290
142794dcb815c9b
1511a73ada6299e
hex835e59a92621

144441254422049 has 32 divisors (see below), whose sum is σ = 166690161792000. Its totient is φ = 124040968121664.

The previous prime is 144441254422033. The next prime is 144441254422081. The reversal of 144441254422049 is 940224452144441.

It is a cyclic number.

It is not a de Polignac number, because 144441254422049 - 24 = 144441254422033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144441254421988 and 144441254422006.

It is not an unprimeable number, because it can be changed into a prime (144441254422249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8567492 + ... + 19033770.

It is an arithmetic number, because the mean of its divisors is an integer number (5209067556000).

Almost surely, 2144441254422049 is an apocalyptic number.

144441254422049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

144441254422049 is a deficient number, since it is larger than the sum of its proper divisors (22248907369951).

144441254422049 is a wasteful number, since it uses less digits than its factorization.

144441254422049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10467317.

The product of its (nonzero) digits is 5898240, while the sum is 50.

The spelling of 144441254422049 in words is "one hundred forty-four trillion, four hundred forty-one billion, two hundred fifty-four million, four hundred twenty-two thousand, forty-nine".

Divisors: 1 13 19 59 247 767 947 1121 12311 14573 17993 55873 233909 726349 1061587 10466279 13800631 136061627 198859301 617510461 2585170913 8027635993 9911566213 11732698759 128850360769 152525083867 188319758047 584782406567 2448156854611 7602171285371 11110865724773 144441254422049