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131413340444441 = 11192579924371951
BaseRepresentation
bin11101111000010100001101…
…011110011101011100011001
3122020021222210122101212200112
4131320110031132131130121
5114211034010123210231
61143254242152414105
736452205040234526
oct3570241536353431
9566258718355615
10131413340444441
11389660a2818910
12128a49519a7335
1358432bcc4c763
14246462243414d
15102d5689a792b
hex77850d79d719

131413340444441 has 16 divisors (see below), whose sum is σ = 150911126784000. Its totient is φ = 113174561898000.

The previous prime is 131413340444413. The next prime is 131413340444473. The reversal of 131413340444441 is 144444043314131.

It is a cyclic number.

It is not a de Polignac number, because 131413340444441 - 26 = 131413340444377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131413340444941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6793985 + ... + 17577966.

It is an arithmetic number, because the mean of its divisors is an integer number (9431945424000).

Almost surely, 2131413340444441 is an apocalyptic number.

131413340444441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131413340444441 is a deficient number, since it is larger than the sum of its proper divisors (19497786339559).

131413340444441 is a wasteful number, since it uses less digits than its factorization.

131413340444441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24397780.

The product of its (nonzero) digits is 442368, while the sum is 41.

Adding to 131413340444441 its reverse (144444043314131), we get a palindrome (275857383758572).

The spelling of 131413340444441 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred forty million, four hundred forty-four thousand, four hundred forty-one".

Divisors: 1 11 19 209 25799 283789 490181 5391991 24371951 268091461 463067069 5093737759 628771963849 6916491602339 11946667313131 131413340444441