Search a number
-
+
2415145513409 is a prime number
BaseRepresentation
bin100011001001010001111…
…000111111000111000001
322112212220122101000111222
4203021101320333013001
5304032204222412114
65045300314044425
7336326362100606
oct43112170770701
98485818330458
102415145513409
11851291752612
123300a3419715
13146993909465
1484c723146ad
1542c5438098e
hex23251e3f1c1

2415145513409 has 2 divisors, whose sum is σ = 2415145513410. Its totient is φ = 2415145513408.

The previous prime is 2415145513309. The next prime is 2415145513411. The reversal of 2415145513409 is 9043155415142.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2145917361025 + 269228152384 = 1464895^2 + 518872^2 .

It is a cyclic number.

It is not a de Polignac number, because 2415145513409 - 236 = 2346426036673 is a prime.

Together with 2415145513411, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2415145513409.

It is not a weakly prime, because it can be changed into another prime (2415145513439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1207572756704 + 1207572756705.

It is an arithmetic number, because the mean of its divisors is an integer number (1207572756705).

Almost surely, 22415145513409 is an apocalyptic number.

It is an amenable number.

2415145513409 is a deficient number, since it is larger than the sum of its proper divisors (1).

2415145513409 is an equidigital number, since it uses as much as digits as its factorization.

2415145513409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 2415145513409 in words is "two trillion, four hundred fifteen billion, one hundred forty-five million, five hundred thirteen thousand, four hundred nine".