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13405040149 is a prime number
BaseRepresentation
bin11000111110000000…
…01010111000010101
31021121012221121002111
430133000022320111
5204423142241044
610054100311021
7653121650464
oct143700127025
937535847074
1013405040149
115759883086
1227213a2471
131358289427
149124829db
15536cadb34
hex31f00ae15

13405040149 has 2 divisors, whose sum is σ = 13405040150. Its totient is φ = 13405040148.

The previous prime is 13405040101. The next prime is 13405040167. The reversal of 13405040149 is 94104050431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11800476900 + 1604563249 = 108630^2 + 40057^2 .

It is a cyclic number.

It is not a de Polignac number, because 13405040149 - 225 = 13371485717 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13405040149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13405040249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6702520074 + 6702520075.

It is an arithmetic number, because the mean of its divisors is an integer number (6702520075).

Almost surely, 213405040149 is an apocalyptic number.

It is an amenable number.

13405040149 is a deficient number, since it is larger than the sum of its proper divisors (1).

13405040149 is an equidigital number, since it uses as much as digits as its factorization.

13405040149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 13405040149 in words is "thirteen billion, four hundred five million, forty thousand, one hundred forty-nine".