Search a number
-
+
4099381414369 is a prime number
BaseRepresentation
bin111011101001110110001…
…011000100100111100001
3112111220012221100122012221
4323221312023010213201
51014131013120224434
612415121350351041
7602112331044013
oct73516613044741
915456187318187
104099381414369
1113405a0a3517a
125625a265b481
13239754402b77
141025a817a1b3
157197ac552b4
hex3ba762c49e1

4099381414369 has 2 divisors, whose sum is σ = 4099381414370. Its totient is φ = 4099381414368.

The previous prime is 4099381414363. The next prime is 4099381414411. The reversal of 4099381414369 is 9634141839904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2202591396769 + 1896790017600 = 1484113^2 + 1377240^2 .

It is a cyclic number.

It is not a de Polignac number, because 4099381414369 - 29 = 4099381413857 is a prime.

It is a super-2 number, since 2×40993814143692 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4099381414363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2049690707184 + 2049690707185.

It is an arithmetic number, because the mean of its divisors is an integer number (2049690707185).

Almost surely, 24099381414369 is an apocalyptic number.

It is an amenable number.

4099381414369 is a deficient number, since it is larger than the sum of its proper divisors (1).

4099381414369 is an equidigital number, since it uses as much as digits as its factorization.

4099381414369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20155392, while the sum is 61.

The spelling of 4099381414369 in words is "four trillion, ninety-nine billion, three hundred eighty-one million, four hundred fourteen thousand, three hundred sixty-nine".