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140014144001 is a prime number
BaseRepresentation
bin1000001001100101111…
…1100100101000000001
3111101101211022110200002
42002121133210220001
54243222110102001
6144153245005345
713054452405314
oct2023137445001
9441354273602
10140014144001
115441a3747a6
1223176553855
13102847a4b24
146ac347097b
1539970b746b
hex20997e4a01

140014144001 has 2 divisors, whose sum is σ = 140014144002. Its totient is φ = 140014144000.

The previous prime is 140014143967. The next prime is 140014144079. The reversal of 140014144001 is 100441410041.

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., 134894598400 + 5119545601 = 367280^2 + 71551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-140014144001 is a prime.

It is not a weakly prime, because it can be changed into another prime (140014644001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 70007072000 + 70007072001.

It is an arithmetic number, because the mean of its divisors is an integer number (70007072001).

Almost surely, 2140014144001 is an apocalyptic number.

It is an amenable number.

140014144001 is a deficient number, since it is larger than the sum of its proper divisors (1).

140014144001 is an equidigital number, since it uses as much as digits as its factorization.

140014144001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 140014144001 its reverse (100441410041), we get a palindrome (240455554042).

The spelling of 140014144001 in words is "one hundred forty billion, fourteen million, one hundred forty-four thousand, one".