Search a number
-
+
4000142401 is a prime number
BaseRepresentation
bin1110111001101101…
…0101010001000001
3101022202222021210021
43232123111101001
531143014024101
61500532533441
7201061435513
oct35633252101
911282867707
104000142401
111772a81212
12937781281
134b9971488
1429d38dbb3
151862a25a1
hexee6d5441

4000142401 has 2 divisors, whose sum is σ = 4000142402. Its totient is φ = 4000142400.

The previous prime is 4000142329. The next prime is 4000142437. The reversal of 4000142401 is 1042410004.

4000142401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3984134400 + 16008001 = 63120^2 + 4001^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000142401 - 29 = 4000141889 is a prime.

It is a super-2 number, since 2×40001424012 = 32002278456556089602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4000142501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000071200 + 2000071201.

It is an arithmetic number, because the mean of its divisors is an integer number (2000071201).

Almost surely, 24000142401 is an apocalyptic number.

It is an amenable number.

4000142401 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000142401 is an equidigital number, since it uses as much as digits as its factorization.

4000142401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4000142401 is about 63246.6789721010. The cubic root of 4000142401 is about 1587.4198890361.

Adding to 4000142401 its reverse (1042410004), we get a palindrome (5042552405).

The spelling of 4000142401 in words is "four billion, one hundred forty-two thousand, four hundred one".