Search a number
-
+
400101433141 is a prime number
BaseRepresentation
bin1011101001001111110…
…01110101111100110101
31102020201202102201002211
411310213321311330311
523023401431330031
6503445402133421
740622613032314
oct5644771657465
91366652381084
10400101433141
11144755912643
12656611b1271
132b963664257
141551784827b
15a61a782bb1
hex5d27e75f35

400101433141 has 2 divisors, whose sum is σ = 400101433142. Its totient is φ = 400101433140.

The previous prime is 400101433117. The next prime is 400101433219. The reversal of 400101433141 is 141334101004.

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., 399839964241 + 261468900 = 632329^2 + 16170^2 .

It is a cyclic number.

It is not a de Polignac number, because 400101433141 - 29 = 400101432629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (400101433741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200050716570 + 200050716571.

It is an arithmetic number, because the mean of its divisors is an integer number (200050716571).

Almost surely, 2400101433141 is an apocalyptic number.

It is an amenable number.

400101433141 is a deficient number, since it is larger than the sum of its proper divisors (1).

400101433141 is an equidigital number, since it uses as much as digits as its factorization.

400101433141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 400101433141 its reverse (141334101004), we get a palindrome (541435534145).

The spelling of 400101433141 in words is "four hundred billion, one hundred one million, four hundred thirty-three thousand, one hundred forty-one".