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114404253641 is a prime number
BaseRepresentation
bin110101010001100000…
…1100101111111001001
3101221022000210020120022
41222203001211333021
53333244442104031
6124320120110225
711160021053036
oct1524301457711
9357260706508
10114404253641
1144578245057
121a209905375
13aa32abc052
1457740c838d
152e98ac197b
hex1aa3065fc9

114404253641 has 2 divisors, whose sum is σ = 114404253642. Its totient is φ = 114404253640.

The previous prime is 114404253629. The next prime is 114404253697. The reversal of 114404253641 is 146352404411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63968526400 + 50435727241 = 252920^2 + 224579^2 .

It is a cyclic number.

It is not a de Polignac number, because 114404253641 - 210 = 114404252617 is a prime.

It is not a weakly prime, because it can be changed into another prime (114404253941) 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, 57202126820 + 57202126821.

It is an arithmetic number, because the mean of its divisors is an integer number (57202126821).

Almost surely, 2114404253641 is an apocalyptic number.

It is an amenable number.

114404253641 is a deficient number, since it is larger than the sum of its proper divisors (1).

114404253641 is an equidigital number, since it uses as much as digits as its factorization.

114404253641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 114404253641 in words is "one hundred fourteen billion, four hundred four million, two hundred fifty-three thousand, six hundred forty-one".