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3144605460001 is a prime number
BaseRepresentation
bin101101110000101001000…
…101110110011000100001
3102010121202221221202121221
4231300221011312120201
5403010122444210001
610404340052215041
7443122153246345
oct55605105663041
912117687852557
103144605460001
11100268a891105
1242954200a481
1319a6c55a1455
14ac2b2043625
1556be99361a1
hex2dc29176621

3144605460001 has 2 divisors, whose sum is σ = 3144605460002. Its totient is φ = 3144605460000.

The previous prime is 3144605459987. The next prime is 3144605460053. The reversal of 3144605460001 is 1000645064413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3009534509601 + 135070950400 = 1734801^2 + 367520^2 .

It is a cyclic number.

It is not a de Polignac number, because 3144605460001 - 25 = 3144605459969 is a prime.

It is not a weakly prime, because it can be changed into another prime (3144605460301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1572302730000 + 1572302730001.

It is an arithmetic number, because the mean of its divisors is an integer number (1572302730001).

Almost surely, 23144605460001 is an apocalyptic number.

It is an amenable number.

3144605460001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3144605460001 is an equidigital number, since it uses as much as digits as its factorization.

3144605460001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 3144605460001 in words is "three trillion, one hundred forty-four billion, six hundred five million, four hundred sixty thousand, one".