Search a number
-
+
418137029 is a prime number
BaseRepresentation
bin11000111011000…
…100001111000101
31002010210120011122
4120323010033011
51324020341104
6105254043325
713235051252
oct3073041705
91063716148
10418137029
111a50335a2
12b8049545
1368821a7b
143d766429
1526a976be
hex18ec43c5

418137029 has 2 divisors, whose sum is σ = 418137030. Its totient is φ = 418137028.

The previous prime is 418136921. The next prime is 418137053. The reversal of 418137029 is 920731814.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 336722500 + 81414529 = 18350^2 + 9023^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-418137029 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 418137029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (418137059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 209068514 + 209068515.

It is an arithmetic number, because the mean of its divisors is an integer number (209068515).

Almost surely, 2418137029 is an apocalyptic number.

It is an amenable number.

418137029 is a deficient number, since it is larger than the sum of its proper divisors (1).

418137029 is an equidigital number, since it uses as much as digits as its factorization.

418137029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 418137029 is about 20448.3991793979. The cubic root of 418137029 is about 747.7783314910.

The spelling of 418137029 in words is "four hundred eighteen million, one hundred thirty-seven thousand, twenty-nine".