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144331133133221 = 37107281129738299
BaseRepresentation
bin100000110100010010110101…
…111010111010000110100101
3200221000220212211100022012122
4200310102311322322012211
5122404210130040230341
61230544450205155325
742254403012345026
oct4064226572720645
9627026784308178
10144331133133221
1141a96542a48981
121423041055bb45
13626c4a13b1948
14278d94249cc4d
1511a45b5eac94b
hex8344b5eba1a5

144331133133221 has 16 divisors (see below), whose sum is σ = 150149767262400. Its totient is φ = 138622776647040.

The previous prime is 144331133133199. The next prime is 144331133133301. The reversal of 144331133133221 is 122331331133441.

It is a cyclic number.

It is not a de Polignac number, because 144331133133221 - 238 = 144056255226277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144331133183221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63756671 + ... + 65981628.

It is an arithmetic number, because the mean of its divisors is an integer number (9384360453900).

Almost surely, 2144331133133221 is an apocalyptic number.

It is an amenable number.

144331133133221 is a deficient number, since it is larger than the sum of its proper divisors (5818634129179).

144331133133221 is a wasteful number, since it uses less digits than its factorization.

144331133133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129738724.

The product of its digits is 46656, while the sum is 35.

Adding to 144331133133221 its reverse (122331331133441), we get a palindrome (266662464266662).

The spelling of 144331133133221 in words is "one hundred forty-four trillion, three hundred thirty-one billion, one hundred thirty-three million, one hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 37 107 281 3959 10397 30067 1112479 129738299 4800317063 13881997993 36456462019 513633925741 1348889094703 3900841436033 144331133133221