Search a number
-
+
415401031 is a prime number
BaseRepresentation
bin11000110000101…
…000010001000111
31001221122120002101
4120300220101013
51322320313111
6105115252531
713202564503
oct3060502107
91057576071
10415401031
111a3534a41
12b714a147
13680a4636
143d253303
1526706bc1
hex18c28447

415401031 has 2 divisors, whose sum is σ = 415401032. Its totient is φ = 415401030.

The previous prime is 415401013. The next prime is 415401059. The reversal of 415401031 is 130104514.

Together with previous prime (415401013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 415401031 - 29 = 415400519 is a prime.

It is a super-3 number, since 3×4154010313 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (415401011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207700515 + 207700516.

It is an arithmetic number, because the mean of its divisors is an integer number (207700516).

Almost surely, 2415401031 is an apocalyptic number.

415401031 is a deficient number, since it is larger than the sum of its proper divisors (1).

415401031 is an equidigital number, since it uses as much as digits as its factorization.

415401031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 415401031 is about 20381.3893294839. The cubic root of 415401031 is about 746.1437806706.

Adding to 415401031 its reverse (130104514), we get a palindrome (545505545).

The spelling of 415401031 in words is "four hundred fifteen million, four hundred one thousand, thirty-one".