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314164606461437 is a prime number
BaseRepresentation
bin100011101101110110010010…
…1110001001110010111111101
31112012100211202120222011202102
41013123230211301032113331
5312134233103223231222
63032101121111034445
7123113433551030444
oct10733544561162775
91465324676864672
10314164606461437
1191114509102996
122b29b25706ba25
131063b797a659b4
1457819104b7d5b
15264c220816d92
hex11dbb25c4e5fd

314164606461437 has 2 divisors, whose sum is σ = 314164606461438. Its totient is φ = 314164606461436.

The previous prime is 314164606461413. The next prime is 314164606461463. The reversal of 314164606461437 is 734164606461413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 295138862315236 + 19025744146201 = 17179606^2 + 4361851^2 .

It is a cyclic number.

It is not a de Polignac number, because 314164606461437 - 234 = 314147426592253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314164606481437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157082303230718 + 157082303230719.

It is an arithmetic number, because the mean of its divisors is an integer number (157082303230719).

Almost surely, 2314164606461437 is an apocalyptic number.

It is an amenable number.

314164606461437 is a deficient number, since it is larger than the sum of its proper divisors (1).

314164606461437 is an equidigital number, since it uses as much as digits as its factorization.

314164606461437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20901888, while the sum is 56.

The spelling of 314164606461437 in words is "three hundred fourteen trillion, one hundred sixty-four billion, six hundred six million, four hundred sixty-one thousand, four hundred thirty-seven".