Search a number
-
+
431401112377 is a prime number
BaseRepresentation
bin1100100011100011000…
…00101001001100111001
31112020112002022011012221
412101301200221030321
524032002141044002
6530103303004041
743111343644414
oct6216140511471
91466462264187
10431401112377
11156a57754944
126b737439621
13318b1081301
1416c4672cb7b
15b34d536c37
hex6471829339

431401112377 has 2 divisors, whose sum is σ = 431401112378. Its totient is φ = 431401112376.

The previous prime is 431401112299. The next prime is 431401112393. The reversal of 431401112377 is 773211104134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 414595619881 + 16805492496 = 643891^2 + 129636^2 .

It is a cyclic number.

It is not a de Polignac number, because 431401112377 - 27 = 431401112249 is a prime.

It is a super-2 number, since 2×4314011123772 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (431401112777) 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, 215700556188 + 215700556189.

It is an arithmetic number, because the mean of its divisors is an integer number (215700556189).

Almost surely, 2431401112377 is an apocalyptic number.

It is an amenable number.

431401112377 is a deficient number, since it is larger than the sum of its proper divisors (1).

431401112377 is an equidigital number, since it uses as much as digits as its factorization.

431401112377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 431401112377 in words is "four hundred thirty-one billion, four hundred one million, one hundred twelve thousand, three hundred seventy-seven".