Search a number
-
+
140044341210401 is a prime number
BaseRepresentation
bin11111110101111010011101…
…001101011110110100100001
3200100212002220221001102020002
4133311322131031132310201
5121323441302322213101
61213503252053025345
741332604220252005
oct3765723515366441
9610762827042202
10140044341210401
1140693520734981
1213859646625255
13601b180cb0bc4
14268227a26c705
15112cd1c197d6b
hex7f5e9d35ed21

140044341210401 has 2 divisors, whose sum is σ = 140044341210402. Its totient is φ = 140044341210400.

The previous prime is 140044341210343. The next prime is 140044341210493. The reversal of 140044341210401 is 104012143440041.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135008248683025 + 5036092527376 = 11619305^2 + 2244124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-140044341210401 is a prime.

It is a super-3 number, since 3×1400443412104013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (140044341212401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 70022170605200 + 70022170605201.

It is an arithmetic number, because the mean of its divisors is an integer number (70022170605201).

Almost surely, 2140044341210401 is an apocalyptic number.

It is an amenable number.

140044341210401 is a deficient number, since it is larger than the sum of its proper divisors (1).

140044341210401 is an equidigital number, since it uses as much as digits as its factorization.

140044341210401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 140044341210401 its reverse (104012143440041), we get a palindrome (244056484650442).

The spelling of 140044341210401 in words is "one hundred forty trillion, forty-four billion, three hundred forty-one million, two hundred ten thousand, four hundred one".