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144264120953 is a prime number
BaseRepresentation
bin1000011001011011001…
…1111100101001111001
3111210101000101200000212
42012112303330221321
54330423103332303
6150135104440505
713264666536551
oct2062663745171
9453330350025
10144264120953
1156200376347
1223b61919135
13107b112b5a4
146da7a96161
153b45269ad8
hex2196cfca79

144264120953 has 2 divisors, whose sum is σ = 144264120954. Its totient is φ = 144264120952.

The previous prime is 144264120919. The next prime is 144264121007. The reversal of 144264120953 is 359021462441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141818521744 + 2445599209 = 376588^2 + 49453^2 .

It is a cyclic number.

It is not a de Polignac number, because 144264120953 - 222 = 144259926649 is a prime.

It is a super-3 number, since 3×1442641209533 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144264120953.

It is not a weakly prime, because it can be changed into another prime (144264120353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72132060476 + 72132060477.

It is an arithmetic number, because the mean of its divisors is an integer number (72132060477).

Almost surely, 2144264120953 is an apocalyptic number.

It is an amenable number.

144264120953 is a deficient number, since it is larger than the sum of its proper divisors (1).

144264120953 is an equidigital number, since it uses as much as digits as its factorization.

144264120953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 144264120953 in words is "one hundred forty-four billion, two hundred sixty-four million, one hundred twenty thousand, nine hundred fifty-three".