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144531416429 is a prime number
BaseRepresentation
bin1000011010011010111…
…1100110010101101101
3111211001122100200111022
42012212233212111231
54332000020311204
6150221413503525
713304423524631
oct2064657462555
9454048320438
10144531416429
11563282423a4
1224017341ba5
13108246183aa
146dd1394dc1
153b5d9685be
hex21a6be656d

144531416429 has 2 divisors, whose sum is σ = 144531416430. Its totient is φ = 144531416428.

The previous prime is 144531416401. The next prime is 144531416489. The reversal of 144531416429 is 924614135441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81227850025 + 63303566404 = 285005^2 + 251602^2 .

It is an emirp because it is prime and its reverse (924614135441) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144531416429 is a prime.

It is a super-2 number, since 2×1445314164292 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 144531416429.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144531416489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72265708214 + 72265708215.

It is an arithmetic number, because the mean of its divisors is an integer number (72265708215).

Almost surely, 2144531416429 is an apocalyptic number.

It is an amenable number.

144531416429 is a deficient number, since it is larger than the sum of its proper divisors (1).

144531416429 is an equidigital number, since it uses as much as digits as its factorization.

144531416429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 414720, while the sum is 44.

The spelling of 144531416429 in words is "one hundred forty-four billion, five hundred thirty-one million, four hundred sixteen thousand, four hundred twenty-nine".