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4414004140177 is a prime number
BaseRepresentation
bin100000000111011011100…
…1001100001100010010001
3120121222022112112002202101
41000032313021201202101
51034304340024441202
613215433203320401
7633621065065132
oct100166711414221
916558275462671
104414004140177
111451a7229a835
125b3569080101
13260314865248
141138d3375c89
1579c42053887
hex403b7261891

4414004140177 has 2 divisors, whose sum is σ = 4414004140178. Its totient is φ = 4414004140176.

The previous prime is 4414004140153. The next prime is 4414004140211. The reversal of 4414004140177 is 7710414004144.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2681632229761 + 1732371910416 = 1637569^2 + 1316196^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4414004140177 is a prime.

It is not a weakly prime, because it can be changed into another prime (4414004140127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2207002070088 + 2207002070089.

It is an arithmetic number, because the mean of its divisors is an integer number (2207002070089).

Almost surely, 24414004140177 is an apocalyptic number.

It is an amenable number.

4414004140177 is a deficient number, since it is larger than the sum of its proper divisors (1).

4414004140177 is an equidigital number, since it uses as much as digits as its factorization.

4414004140177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50176, while the sum is 37.

The spelling of 4414004140177 in words is "four trillion, four hundred fourteen billion, four million, one hundred forty thousand, one hundred seventy-seven".