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420137234729 is a prime number
BaseRepresentation
bin1100001110100100010…
…00010111000100101001
31111011110002022212220022
412013102020113010221
523340420113002404
6521001451010225
742232251400112
oct6072210270451
91434402285808
10420137234729
111521a7574953
1269513139975
1330807595754
14164987ad209
15adde7218be
hex61d2217129

420137234729 has 2 divisors, whose sum is σ = 420137234730. Its totient is φ = 420137234728.

The previous prime is 420137234719. The next prime is 420137234731. The reversal of 420137234729 is 927432731024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 399268543129 + 20868691600 = 631877^2 + 144460^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420137234729 is a prime.

Together with 420137234731, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 420137234729.

It is not a weakly prime, because it can be changed into another prime (420137234719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210068617364 + 210068617365.

It is an arithmetic number, because the mean of its divisors is an integer number (210068617365).

Almost surely, 2420137234729 is an apocalyptic number.

It is an amenable number.

420137234729 is a deficient number, since it is larger than the sum of its proper divisors (1).

420137234729 is an equidigital number, since it uses as much as digits as its factorization.

420137234729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 420137234729 in words is "four hundred twenty billion, one hundred thirty-seven million, two hundred thirty-four thousand, seven hundred twenty-nine".