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144072829 is a prime number
BaseRepresentation
bin10001001011001…
…10000001111101
3101001002122202201
420211212001331
5243340312304
622143551501
73366412255
oct1045460175
9331078681
10144072829
117436405a
12402bb591
1323b050c4
14151c4965
15c9ad3a4
hex896607d

144072829 has 2 divisors, whose sum is σ = 144072830. Its totient is φ = 144072828.

The previous prime is 144072793. The next prime is 144072871. The reversal of 144072829 is 928270441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81631225 + 62441604 = 9035^2 + 7902^2 .

It is a cyclic number.

It is not a de Polignac number, because 144072829 - 27 = 144072701 is a prime.

It is equal to p8129278 and since 144072829 and 8129278 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144072329) 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 as a sum of consecutive naturals, namely, 72036414 + 72036415.

It is an arithmetic number, because the mean of its divisors is an integer number (72036415).

Almost surely, 2144072829 is an apocalyptic number.

It is an amenable number.

144072829 is a deficient number, since it is larger than the sum of its proper divisors (1).

144072829 is an equidigital number, since it uses as much as digits as its factorization.

144072829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 144072829 is about 12003.0341580785. The cubic root of 144072829 is about 524.2366278264.

The spelling of 144072829 in words is "one hundred forty-four million, seventy-two thousand, eight hundred twenty-nine".