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341121144231441 = 32717756834208437
BaseRepresentation
bin100110110001111110111010…
…0101000001001011000010001
31122201210212022001112121121100
41031203331310220021120101
5324202412100410401231
63205300520144215013
7131565121645342020
oct11543756450113021
91581725261477540
10341121144231441
11997677349aa622
123231369100a469
131184578021b9a2
1460344cc6348b7
1529685254691e6
hex1363f74a09611

341121144231441 has 48 divisors (see below), whose sum is σ = 596253381220224. Its totient is φ = 183457643530752.

The previous prime is 341121144231409. The next prime is 341121144231449. The reversal of 341121144231441 is 144132441121143.

341121144231441 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 211 + 4 + 423 + 14 + 4 + 1 = 666.

It is not a de Polignac number, because 341121144231441 - 25 = 341121144231409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 341121144231396 and 341121144231405.

It is not an unprimeable number, because it can be changed into a prime (341121144231449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78952275 + ... + 83160711.

It is an arithmetic number, because the mean of its divisors is an integer number (12421945442088).

Almost surely, 2341121144231441 is an apocalyptic number.

It is an amenable number.

341121144231441 is a deficient number, since it is larger than the sum of its proper divisors (255132236988783).

341121144231441 is a wasteful number, since it uses less digits than its factorization.

341121144231441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284150 (or 4284147 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

Adding to 341121144231441 its reverse (144132441121143), we get a palindrome (485253585352584).

The spelling of 341121144231441 in words is "three hundred forty-one trillion, one hundred twenty-one billion, one hundred forty-four million, two hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 75683 227049 529781 681147 1286611 1589343 3859833 4208437 4768029 9006277 11579499 12625311 27018831 29459059 37875933 71543429 81056493 88377177 214630287 265131531 500804003 643890861 1502412009 4507236027 318507137471 955521412413 2229549962297 2866564237239 5414621337007 6688649886891 16243864011021 20065949660673 37902349359049 48731592033063 113707048077147 341121144231441