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131412332431341 = 351358921706019
BaseRepresentation
bin11101111000010011010001…
…011001001100011111101101
3122020021220012101122111200000
4131320103101121030133231
5114211024424100300331
61143253554143254513
736452141050251033
oct3570232131143755
9566256171574600
10131412332431341
1138965725821735
12128a47102aa439
13584318c1681c0
1424645685dc553
15102d50a2420e6
hex7784d164c7ed

131412332431341 has 48 divisors (see below), whose sum is σ = 211994162802240. Its totient is φ = 80867640608640.

The previous prime is 131412332431337. The next prime is 131412332431357. The reversal of 131412332431341 is 143134233214131.

131412332431341 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 2 + 332 + 4 + 313 + 4 + 1 = 666.

It is not a de Polignac number, because 131412332431341 - 22 = 131412332431337 is a prime.

It is a super-2 number, since 2×1314123324313412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131412332431296 and 131412332431305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131412332031341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185778430 + ... + 186484448.

It is an arithmetic number, because the mean of its divisors is an integer number (4416545058380).

Almost surely, 2131412332431341 is an apocalyptic number.

It is an amenable number.

131412332431341 is a deficient number, since it is larger than the sum of its proper divisors (80581830370899).

131412332431341 is an equidigital number, since it uses as much as digits as its factorization.

131412332431341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764968 (or 764956 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

Adding to 131412332431341 its reverse (143134233214131), we get a palindrome (274546565645472).

The spelling of 131412332431341 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred thirty-two million, four hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 243 351 1053 3159 58921 176763 530289 706019 765973 1590867 2118057 2297919 4772601 6354171 6893757 9178247 14317803 19062513 20681271 27534741 57187539 62043813 82604223 171562617 186131439 247812669 743438007 2230314021 41599345499 124798036497 374394109491 540791491487 1123182328473 1622374474461 3369546985419 4867123423383 10108640956257 14601370270149 43804110810447 131412332431341