Search a number
-
+
404217348193 is a prime number
BaseRepresentation
bin1011110000111010011…
…10110100000001100001
31102122100121020212010001
411320131032310001201
523110314120120233
6505410032340001
741126611524541
oct5703516640141
91378317225101
10404217348193
1114647817852a
126640b6a4601
132c16b2ac449
14157c8333321
15a7abca327d
hex5e1d3b4061

404217348193 has 2 divisors, whose sum is σ = 404217348194. Its totient is φ = 404217348192.

The previous prime is 404217348133. The next prime is 404217348203. The reversal of 404217348193 is 391843712404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 266326180624 + 137891167569 = 516068^2 + 371337^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-404217348193 is a prime.

It is not a weakly prime, because it can be changed into another prime (404217348133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202108674096 + 202108674097.

It is an arithmetic number, because the mean of its divisors is an integer number (202108674097).

Almost surely, 2404217348193 is an apocalyptic number.

It is an amenable number.

404217348193 is a deficient number, since it is larger than the sum of its proper divisors (1).

404217348193 is an equidigital number, since it uses as much as digits as its factorization.

404217348193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 404217348193 in words is "four hundred four billion, two hundred seventeen million, three hundred forty-eight thousand, one hundred ninety-three".