Search a number
-
+
430071267541 is a prime number
BaseRepresentation
bin1100100001000100011…
…11101100000011010101
31112010002101222001001111
412100202033230003111
524021241221030131
6525323315455021
743033365312646
oct6204217540325
91463071861044
10430071267541
11156435022823
126b425bb7471
133172b6c6b86
1416b5bc7d6cd
15b2c18edab1
hex64223ec0d5

430071267541 has 2 divisors, whose sum is σ = 430071267542. Its totient is φ = 430071267540.

The previous prime is 430071267481. The next prime is 430071267599. The reversal of 430071267541 is 145762170034.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 423469055025 + 6602212516 = 650745^2 + 81254^2 .

It is a cyclic number.

It is not a de Polignac number, because 430071267541 - 215 = 430071234773 is a prime.

It is a super-2 number, since 2×4300712675412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 430071267494 and 430071267503.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (430071267341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215035633770 + 215035633771.

It is an arithmetic number, because the mean of its divisors is an integer number (215035633771).

Almost surely, 2430071267541 is an apocalyptic number.

It is an amenable number.

430071267541 is a deficient number, since it is larger than the sum of its proper divisors (1).

430071267541 is an equidigital number, since it uses as much as digits as its factorization.

430071267541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 430071267541 in words is "four hundred thirty billion, seventy-one million, two hundred sixty-seven thousand, five hundred forty-one".