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144429357864457 is a prime number
BaseRepresentation
bin100000110101101110010100…
…100100100001011000001001
3200221101022102021111122112101
4200311232110210201120021
5122412312311103130312
61231101533034113401
742264451061651611
oct4065562444413011
9627338367448471
10144429357864457
1142024168281306
121424746387b861
1362788261800a3
1427945bd843a41
1511a6e14426a57
hex835b94921609

144429357864457 has 2 divisors, whose sum is σ = 144429357864458. Its totient is φ = 144429357864456.

The previous prime is 144429357864439. The next prime is 144429357864479. The reversal of 144429357864457 is 754468753924441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133330991985216 + 11098365879241 = 11546904^2 + 3331421^2 .

It is a cyclic number.

It is not a de Polignac number, because 144429357864457 - 235 = 144394998126089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144429357864457.

It is not a weakly prime, because it can be changed into another prime (144429387864457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72214678932228 + 72214678932229.

It is an arithmetic number, because the mean of its divisors is an integer number (72214678932229).

Almost surely, 2144429357864457 is an apocalyptic number.

It is an amenable number.

144429357864457 is a deficient number, since it is larger than the sum of its proper divisors (1).

144429357864457 is an equidigital number, since it uses as much as digits as its factorization.

144429357864457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3251404800, while the sum is 73.

The spelling of 144429357864457 in words is "one hundred forty-four trillion, four hundred twenty-nine billion, three hundred fifty-seven million, eight hundred sixty-four thousand, four hundred fifty-seven".