Search a number
-
+
13141400041 = 7111100315511
BaseRepresentation
bin11000011110100100…
…11101100111101001
31020220211212021212001
430033102131213221
5203403144300131
610012001451001
7643441025440
oct141722354751
936824767761
1013141400041
115633a833a0
122669040a61
13131577c373
148c9455d57
1551da83261
hex30f49d9e9

13141400041 has 16 divisors (see below), whose sum is σ = 16386628608. Its totient is φ = 10238461200.

The previous prime is 13141400009. The next prime is 13141400053. The reversal of 13141400041 is 14000414131.

It is not a de Polignac number, because 13141400041 - 25 = 13141400009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13141399991 and 13141400018.

It is not an unprimeable number, because it can be changed into a prime (13141400941) 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 in 15 ways as a sum of consecutive naturals, for example, 839476 + ... + 854986.

It is an arithmetic number, because the mean of its divisors is an integer number (1024164288).

Almost surely, 213141400041 is an apocalyptic number.

13141400041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13141400041 is a deficient number, since it is larger than the sum of its proper divisors (3245228567).

13141400041 is a wasteful number, since it uses less digits than its factorization.

13141400041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26532.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 13141400041 its reverse (14000414131), we get a palindrome (27141814172).

The spelling of 13141400041 in words is "thirteen billion, one hundred forty-one million, four hundred thousand, forty-one".

Divisors: 1 7 11 77 11003 15511 77021 108577 121033 170621 847231 1194347 170667533 1194672731 1877342863 13141400041