Search a number
-
+
1141410141411 = 319311549417017
BaseRepresentation
bin10000100111000001010…
…110001001010011100011
311001010011211112220120220
4100213001112021103203
5122200101444011121
62232205004334123
7145315131056541
oct20470126112343
94033154486526
101141410141411
114000842a5161
12165267b44343
138383304a327
143d35d066d91
151ea561826c6
hex109c15894e3

1141410141411 has 32 divisors (see below), whose sum is σ = 1654727424000. Its totient is φ = 697184029440.

The previous prime is 1141410141407. The next prime is 1141410141437.

1141410141411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1141410141411 - 22 = 1141410141407 is a prime.

It is a super-2 number, since 2×11414101414112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1141410141461) 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 in 31 ways as a sum of consecutive naturals, for example, 2528575 + ... + 2945591.

It is an arithmetic number, because the mean of its divisors is an integer number (51710232000).

Almost surely, 21141410141411 is an apocalyptic number.

1141410141411 is a deficient number, since it is larger than the sum of its proper divisors (513317282589).

1141410141411 is a wasteful number, since it uses less digits than its factorization.

1141410141411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418619.

The product of its (nonzero) digits is 256, while the sum is 24.

It can be divided in two parts, 1141410 and 141411, that added together give a palindrome (1282821).

The spelling of 1141410141411 in words is "one trillion, one hundred forty-one billion, four hundred ten million, one hundred forty-one thousand, four hundred eleven".

Divisors: 1 3 19 31 57 93 589 1549 1767 4647 29431 48019 88293 144057 417017 912361 1251051 2737083 7923323 12927527 23769969 38782581 245623013 645959333 736869039 1937877999 12273227327 20024739323 36819681981 60074217969 380470047137 1141410141411