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4114340412037 is a prime number
BaseRepresentation
bin111011110111110001110…
…011000111101010000101
3112120022211110100110021121
4323313301303013222011
51014402132121141122
612430034001513541
7603152122322062
oct73676163075205
915508743313247
104114340412037
1113469779a1569
125654783428b1
1323ac995c408b
141031c6b69c69
157205416abc7
hex3bdf1cc7a85

4114340412037 has 2 divisors, whose sum is σ = 4114340412038. Its totient is φ = 4114340412036.

The previous prime is 4114340411969. The next prime is 4114340412053. The reversal of 4114340412037 is 7302140434114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4105056896836 + 9283515201 = 2026094^2 + 96351^2 .

It is a cyclic number.

It is not a de Polignac number, because 4114340412037 - 223 = 4114332023429 is a prime.

It is a super-2 number, since 2×41143404120372 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4114340411993 and 4114340412011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4114340412337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2057170206018 + 2057170206019.

It is an arithmetic number, because the mean of its divisors is an integer number (2057170206019).

Almost surely, 24114340412037 is an apocalyptic number.

It is an amenable number.

4114340412037 is a deficient number, since it is larger than the sum of its proper divisors (1).

4114340412037 is an equidigital number, since it uses as much as digits as its factorization.

4114340412037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 4114340412037 in words is "four trillion, one hundred fourteen billion, three hundred forty million, four hundred twelve thousand, thirty-seven".