Search a number
-
+
401271838529 is a prime number
BaseRepresentation
bin1011101011011011010…
…10100101011101000001
31102100202022202110110112
411311231222211131001
523033301042313104
6504201452041105
740663614231032
oct5655552453501
91370668673415
10401271838529
111451a6545521
1265929163195
132babbc96113
14155c9072a89
15a6883c486e
hex5d6daa5741

401271838529 has 2 divisors, whose sum is σ = 401271838530. Its totient is φ = 401271838528.

The previous prime is 401271838507. The next prime is 401271838547. The reversal of 401271838529 is 925838172104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 375097452304 + 26174386225 = 612452^2 + 161785^2 .

It is a cyclic number.

It is not a de Polignac number, because 401271838529 - 28 = 401271838273 is a prime.

It is a super-2 number, since 2×4012718385292 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401271838129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200635919264 + 200635919265.

It is an arithmetic number, because the mean of its divisors is an integer number (200635919265).

Almost surely, 2401271838529 is an apocalyptic number.

It is an amenable number.

401271838529 is a deficient number, since it is larger than the sum of its proper divisors (1).

401271838529 is an equidigital number, since it uses as much as digits as its factorization.

401271838529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 401271838529 in words is "four hundred one billion, two hundred seventy-one million, eight hundred thirty-eight thousand, five hundred twenty-nine".