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20144144417 is a prime number
BaseRepresentation
bin10010110000101011…
…110100000000100001
31220222212202120012212
4102300223310000201
5312223400110132
613130514531505
71312122255005
oct226053640041
956885676185
1020144144417
1185a7931941
123aa2296b95
131b905064a7
14d914c8705
157cd7405b2
hex4b0af4021

20144144417 has 2 divisors, whose sum is σ = 20144144418. Its totient is φ = 20144144416.

The previous prime is 20144144369. The next prime is 20144144431. The reversal of 20144144417 is 71444144102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18857057041 + 1287087376 = 137321^2 + 35876^2 .

It is a cyclic number.

It is not a de Polignac number, because 20144144417 - 214 = 20144128033 is a prime.

It is not a weakly prime, because it can be changed into another prime (20144144467) 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, 10072072208 + 10072072209.

It is an arithmetic number, because the mean of its divisors is an integer number (10072072209).

Almost surely, 220144144417 is an apocalyptic number.

It is an amenable number.

20144144417 is a deficient number, since it is larger than the sum of its proper divisors (1).

20144144417 is an equidigital number, since it uses as much as digits as its factorization.

20144144417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14336, while the sum is 32.

Adding to 20144144417 its reverse (71444144102), we get a palindrome (91588288519).

The spelling of 20144144417 in words is "twenty billion, one hundred forty-four million, one hundred forty-four thousand, four hundred seventeen".