Search a number
-
+
4004040143377 is a prime number
BaseRepresentation
bin111010010001000011011…
…000111111001000010001
3112011210010102221020202001
4322101003120333020101
51011100233234042002
612303233004154001
7562165563442561
oct72210330771021
915153112836661
104004040143377
11130411630413a
12548014b38901
1323076bb34011
14dbb21b42da1
156e24aa0ea87
hex3a44363f211

4004040143377 has 2 divisors, whose sum is σ = 4004040143378. Its totient is φ = 4004040143376.

The previous prime is 4004040143357. The next prime is 4004040143473. The reversal of 4004040143377 is 7733410404004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3510616784896 + 493423358481 = 1873664^2 + 702441^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4004040143377 is a prime.

It is not a weakly prime, because it can be changed into another prime (4004040143317) 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, 2002020071688 + 2002020071689.

It is an arithmetic number, because the mean of its divisors is an integer number (2002020071689).

Almost surely, 24004040143377 is an apocalyptic number.

It is an amenable number.

4004040143377 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004040143377 is an equidigital number, since it uses as much as digits as its factorization.

4004040143377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112896, while the sum is 37.

The spelling of 4004040143377 in words is "four trillion, four billion, forty million, one hundred forty-three thousand, three hundred seventy-seven".