Search a number
-
+
400520153461 is a prime number
BaseRepresentation
bin1011101010000001101…
…11001000100101110101
31102021210221022220101211
411311000313020211311
523030231124402321
6503555120521421
740636156063261
oct5650067104565
91367727286354
10400520153461
1114495020439a
1265759480271
132b9cc32b65c
14155572c30a1
15a6423e30e1
hex5d40dc8975

400520153461 has 2 divisors, whose sum is σ = 400520153462. Its totient is φ = 400520153460.

The previous prime is 400520153393. The next prime is 400520153479. The reversal of 400520153461 is 164351025004.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 292025675236 + 108494478225 = 540394^2 + 329385^2 .

It is a cyclic number.

It is not a de Polignac number, because 400520153461 - 231 = 398372669813 is a prime.

It is a super-3 number, since 3×4005201534613 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400520153161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200260076730 + 200260076731.

It is an arithmetic number, because the mean of its divisors is an integer number (200260076731).

Almost surely, 2400520153461 is an apocalyptic number.

It is an amenable number.

400520153461 is a deficient number, since it is larger than the sum of its proper divisors (1).

400520153461 is an equidigital number, since it uses as much as digits as its factorization.

400520153461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 400520153461 its reverse (164351025004), we get a palindrome (564871178465).

The spelling of 400520153461 in words is "four hundred billion, five hundred twenty million, one hundred fifty-three thousand, four hundred sixty-one".