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114140004029 is a prime number
BaseRepresentation
bin110101001001101000…
…1100011111010111101
3101220121121112222020122
41222103101203322331
53332224320112104
6124234000224325
711150332012022
oct1522321437275
9356547488218
10114140004029
1144452069447
121a15530b0a5
13a9c012a72c
14574ad7d549
152e807c56be
hex1a93463ebd

114140004029 has 2 divisors, whose sum is σ = 114140004030. Its totient is φ = 114140004028.

The previous prime is 114140004023. The next prime is 114140004031. The reversal of 114140004029 is 920400041411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107997676900 + 6142327129 = 328630^2 + 78373^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114140004029 is a prime.

Together with 114140004031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 114140003989 and 114140004007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114140004023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57070002014 + 57070002015.

It is an arithmetic number, because the mean of its divisors is an integer number (57070002015).

Almost surely, 2114140004029 is an apocalyptic number.

It is an amenable number.

114140004029 is a deficient number, since it is larger than the sum of its proper divisors (1).

114140004029 is an equidigital number, since it uses as much as digits as its factorization.

114140004029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 114140004029 in words is "one hundred fourteen billion, one hundred forty million, four thousand, twenty-nine".