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1414431141397 is a prime number
BaseRepresentation
bin10100100101010010101…
…010100110111000010101
312000012220010201201212021
4110211102222212320111
5141133223333011042
63001440344053141
7204121631221411
oct24452252467025
95005803651767
101414431141397
114a594756142a
121aa1621641b1
13a34c363b9b1
144c65d071d41
1526bd5058867
hex14952aa6e15

1414431141397 has 2 divisors, whose sum is σ = 1414431141398. Its totient is φ = 1414431141396.

The previous prime is 1414431141379. The next prime is 1414431141439. The reversal of 1414431141397 is 7931411344141.

Together with previous prime (1414431141379) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1129460943121 + 284970198276 = 1062761^2 + 533826^2 .

It is a cyclic number.

It is not a de Polignac number, because 1414431141397 - 211 = 1414431139349 is a prime.

It is a super-3 number, since 3×14144311413973 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1414431141337) 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, 707215570698 + 707215570699.

It is an arithmetic number, because the mean of its divisors is an integer number (707215570699).

Almost surely, 21414431141397 is an apocalyptic number.

It is an amenable number.

1414431141397 is a deficient number, since it is larger than the sum of its proper divisors (1).

1414431141397 is an equidigital number, since it uses as much as digits as its factorization.

1414431141397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 145152, while the sum is 43.

The spelling of 1414431141397 in words is "one trillion, four hundred fourteen billion, four hundred thirty-one million, one hundred forty-one thousand, three hundred ninety-seven".