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340214133137 is a prime number
BaseRepresentation
bin1001111001101100101…
…01111011000110010001
31012112011002220122200112
410330312111323012101
521033224304230022
6420143041331105
733402552263114
oct4746625730621
91175132818615
10340214133137
1112131401077a
1255b29036a95
132610b376368
1412675d3057b
158cb2d928e2
hex4f3657b191

340214133137 has 2 divisors, whose sum is σ = 340214133138. Its totient is φ = 340214133136.

The previous prime is 340214133089. The next prime is 340214133143. The reversal of 340214133137 is 731331412043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 332749000336 + 7465132801 = 576844^2 + 86401^2 .

It is a cyclic number.

It is not a de Polignac number, because 340214133137 - 234 = 323034263953 is a prime.

It is a super-2 number, since 2×3402141331372 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (340214136137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 170107066568 + 170107066569.

It is an arithmetic number, because the mean of its divisors is an integer number (170107066569).

Almost surely, 2340214133137 is an apocalyptic number.

It is an amenable number.

340214133137 is a deficient number, since it is larger than the sum of its proper divisors (1).

340214133137 is an equidigital number, since it uses as much as digits as its factorization.

340214133137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 340214133137 in words is "three hundred forty billion, two hundred fourteen million, one hundred thirty-three thousand, one hundred thirty-seven".