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1414420221329 is a prime number
BaseRepresentation
bin10100100101010010000…
…000111100110110010001
312000012212101011221100022
4110211102000330312101
5141133213034040304
63001435314033225
7204121436340443
oct24452200746621
95005771157308
101414420221329
114a5941382a85
121aa15a578815
13a34c12b740b
144c65b82c493
1526bd40ecebe
hex1495203cd91

1414420221329 has 2 divisors, whose sum is σ = 1414420221330. Its totient is φ = 1414420221328.

The previous prime is 1414420221229. The next prime is 1414420221353. The reversal of 1414420221329 is 9231220244141.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 984808140625 + 429612080704 = 992375^2 + 655448^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1414420221329 is a prime.

It is not a weakly prime, because it can be changed into another prime (1414420221229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 707210110664 + 707210110665.

It is an arithmetic number, because the mean of its divisors is an integer number (707210110665).

Almost surely, 21414420221329 is an apocalyptic number.

It is an amenable number.

1414420221329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1414420221329 is an equidigital number, since it uses as much as digits as its factorization.

1414420221329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 1414420221329 in words is "one trillion, four hundred fourteen billion, four hundred twenty million, two hundred twenty-one thousand, three hundred twenty-nine".