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4041515101409 is a prime number
BaseRepresentation
bin111010110011111101000…
…100100110110011100001
3112022100212010200100211122
4322303331010212303201
51012204010331221114
612332351342422025
7564663340356152
oct72637504466341
915270763610748
104041515101409
111318aa6a04835
12553333291915
13234161a29ab6
14dd878c21929
15701e09c0e8e
hex3acfd126ce1

4041515101409 has 2 divisors, whose sum is σ = 4041515101410. Its totient is φ = 4041515101408.

The previous prime is 4041515101367. The next prime is 4041515101433. The reversal of 4041515101409 is 9041015151404.

4041515101409 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4005061600225 + 36453501184 = 2001265^2 + 190928^2 .

It is a cyclic number.

It is not a de Polignac number, because 4041515101409 - 232 = 4037220134113 is a prime.

It is not a weakly prime, because it can be changed into another prime (4041515101609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2020757550704 + 2020757550705.

It is an arithmetic number, because the mean of its divisors is an integer number (2020757550705).

Almost surely, 24041515101409 is an apocalyptic number.

It is an amenable number.

4041515101409 is a deficient number, since it is larger than the sum of its proper divisors (1).

4041515101409 is an equidigital number, since it uses as much as digits as its factorization.

4041515101409 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 35.

The spelling of 4041515101409 in words is "four trillion, forty-one billion, five hundred fifteen million, one hundred one thousand, four hundred nine".