Search a number
-
+
400714172136037 is a prime number
BaseRepresentation
bin101101100011100101000100…
…1111000101111101001100101
31221112210220022122010121201001
41123013022021320233221211
5410010300111031323122
63540125314354233301
7150255433511630614
oct13307121170575145
91845726278117631
10400714172136037
11106752a20634911
1238b39111585831
1314279251b761b6
1470d4952c3387b
15314d7664bc527
hex16c7289e2fa65

400714172136037 has 2 divisors, whose sum is σ = 400714172136038. Its totient is φ = 400714172136036.

The previous prime is 400714172136023. The next prime is 400714172136043. The reversal of 400714172136037 is 730631271417004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257935356053956 + 142778816082081 = 16060366^2 + 11949009^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400714172136037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400714172136007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200357086068018 + 200357086068019.

It is an arithmetic number, because the mean of its divisors is an integer number (200357086068019).

Almost surely, 2400714172136037 is an apocalyptic number.

It is an amenable number.

400714172136037 is a deficient number, since it is larger than the sum of its proper divisors (1).

400714172136037 is an equidigital number, since it uses as much as digits as its factorization.

400714172136037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 592704, while the sum is 46.

The spelling of 400714172136037 in words is "four hundred trillion, seven hundred fourteen billion, one hundred seventy-two million, one hundred thirty-six thousand, thirty-seven".