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114400444004411 is a prime number
BaseRepresentation
bin11010000000101111101101…
…110100111011100000111011
3120000001120112122021121120212
4122000233231310323200323
5104443314102131120121
61043150501034341335
733045105435432335
oct3200575564734073
9500046478247525
10114400444004411
11334a6a57255254
12109b76a528a84b
134baabb96b5c16
1420370223c0455
15d35c4106d25b
hex680bedd3b83b

114400444004411 has 2 divisors, whose sum is σ = 114400444004412. Its totient is φ = 114400444004410.

The previous prime is 114400444004393. The next prime is 114400444004459.

114400444004411 is nontrivially palindromic in base 10.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 114400444004411 - 26 = 114400444004347 is a prime.

It is a zygodrome in base 10.

It is not a weakly prime, because it can be changed into another prime (114400444024411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57200222002205 + 57200222002206.

It is an arithmetic number, because the mean of its divisors is an integer number (57200222002206).

Almost surely, 2114400444004411 is an apocalyptic number.

114400444004411 is a deficient number, since it is larger than the sum of its proper divisors (1).

114400444004411 is an equidigital number, since it uses as much as digits as its factorization.

114400444004411 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 114400444004411 in words is "one hundred fourteen trillion, four hundred billion, four hundred forty-four million, four thousand, four hundred eleven".