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144033120222321 = 31131325945499497
BaseRepresentation
bin100000101111111101010010…
…111101110111110001110001
3200212222102122210110212021010
4200233331102331313301301
5122334314312234103241
61230155522454221133
742224022663402141
oct4057752275676161
9625872583425233
10144033120222321
1141991115480080
12141a27006547a9
13624a35a159905
14277d351214921
15119b972eb0d16
hex82ff52f77c71

144033120222321 has 64 divisors (see below), whose sum is σ = 216397569024000. Its totient is φ = 84423527078400.

The previous prime is 144033120222281. The next prime is 144033120222349. The reversal of 144033120222321 is 123222021330441.

It is a happy number.

It is not a de Polignac number, because 144033120222321 - 217 = 144033120091249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144033120222391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15166165645 + ... + 15166175141.

It is an arithmetic number, because the mean of its divisors is an integer number (3381212016000).

Almost surely, 2144033120222321 is an apocalyptic number.

144033120222321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144033120222321 is a deficient number, since it is larger than the sum of its proper divisors (72364448801679).

144033120222321 is a wasteful number, since it uses less digits than its factorization.

144033120222321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17350.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 144033120222321 its reverse (123222021330441), we get a palindrome (267255141552762).

The spelling of 144033120222321 in words is "one hundred forty-four trillion, thirty-three billion, one hundred twenty million, two hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 11 31 33 93 341 1023 3259 4549 9497 9777 13647 28491 35849 50039 101029 104467 107547 141019 150117 294407 303087 313401 423057 883221 1111319 1551209 3238477 3333957 4653627 9715431 14825191 30950723 43201853 44475573 92852169 129605559 163077101 340457953 459580921 475220383 489231303 959472413 1021373859 1339257443 1378742763 1425661149 2878417239 4017772329 5055390131 10554196543 14731831873 15166170393 31662589629 44195495619 140794838927 422384516781 1548743228197 4364640006737 4646229684591 13093920020211 48011040074107 144033120222321