Search a number
-
+
140012224000393 is a prime number
BaseRepresentation
bin11111110101011100100010…
…111000000011000110001001
3200100202001000121212002201111
4133311130202320003012021
5121322430013321003033
61213440421105450321
741330356301420143
oct3765344270030611
9610661017762644
10140012224000393
114068093a378708
12138533826409a1
1360181330b3724
1426808b0977c93
15112c08c7577cd
hex7f5722e03189

140012224000393 has 2 divisors, whose sum is σ = 140012224000394. Its totient is φ = 140012224000392.

The previous prime is 140012224000307. The next prime is 140012224000423. The reversal of 140012224000393 is 393000422210041.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108603014310729 + 31409209689664 = 10421277^2 + 5604392^2 .

It is an emirp because it is prime and its reverse (393000422210041) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-140012224000393 is a prime.

It is not a weakly prime, because it can be changed into another prime (140012224000093) 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, 70006112000196 + 70006112000197.

It is an arithmetic number, because the mean of its divisors is an integer number (70006112000197).

Almost surely, 2140012224000393 is an apocalyptic number.

It is an amenable number.

140012224000393 is a deficient number, since it is larger than the sum of its proper divisors (1).

140012224000393 is an equidigital number, since it uses as much as digits as its factorization.

140012224000393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 140012224000393 in words is "one hundred forty trillion, twelve billion, two hundred twenty-four million, three hundred ninety-three", and thus it is an aban number.