Search a number
-
+
30624121457 is a prime number
BaseRepresentation
bin11100100001010101…
…110000001001110001
32221001020200120001122
4130201111300021301
51000204233341312
622022445112025
72132615510636
oct344125601161
987036616048
1030624121457
1111a95577796
125b27b58615
132b70788037
1416a72b018d
15be380db72
hex721570271

30624121457 has 2 divisors, whose sum is σ = 30624121458. Its totient is φ = 30624121456.

The previous prime is 30624121447. The next prime is 30624121537. The reversal of 30624121457 is 75412142603.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28028117056 + 2596004401 = 167416^2 + 50951^2 .

It is a cyclic number.

It is not a de Polignac number, because 30624121457 - 24 = 30624121441 is a prime.

It is not a weakly prime, because it can be changed into another prime (30624121417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15312060728 + 15312060729.

It is an arithmetic number, because the mean of its divisors is an integer number (15312060729).

Almost surely, 230624121457 is an apocalyptic number.

It is an amenable number.

30624121457 is a deficient number, since it is larger than the sum of its proper divisors (1).

30624121457 is an equidigital number, since it uses as much as digits as its factorization.

30624121457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 30624121457 in words is "thirty billion, six hundred twenty-four million, one hundred twenty-one thousand, four hundred fifty-seven".