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544344034401351 = 33557288712537407
BaseRepresentation
bin111101111000100111111100…
…0110011100101110001000111
32122101100210002200121202011000
41323301033320303211301013
51032322013040301320401
65205420110331144343
7222441362423264112
oct17361177063456107
92571323080552130
10544344034401351
11148499010444238
125107562b8a50b3
131a497564712b62
14985c56b2d1579
1542de986a39186
hex1ef13f8ce5c47

544344034401351 has 32 divisors (see below), whose sum is σ = 808163325665280. Its totient is φ = 362119000789728.

The previous prime is 544344034401301. The next prime is 544344034401407. The reversal of 544344034401351 is 153104430443445.

544344034401351 is a `hidden beast` number, since 5 + 4 + 4 + 3 + 440 + 34 + 40 + 135 + 1 = 666.

It is not a de Polignac number, because 544344034401351 - 245 = 509159662312519 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 544344034401297 and 544344034401306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544344034401301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37148890 + ... + 49686296.

It is an arithmetic number, because the mean of its divisors is an integer number (25255103927040).

Almost surely, 2544344034401351 is an apocalyptic number.

544344034401351 is a deficient number, since it is larger than the sum of its proper divisors (263819291263929).

544344034401351 is a wasteful number, since it uses less digits than its factorization.

544344034401351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12540860 (or 12540854 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

Adding to 544344034401351 its reverse (153104430443445), we get a palindrome (697448464844796).

The spelling of 544344034401351 in words is "five hundred forty-four trillion, three hundred forty-four billion, thirty-four million, four hundred one thousand, three hundred fifty-one".

Divisors: 1 3 9 27 557 1671 2887 5013 8661 15039 25983 77949 1608059 4824177 12537407 14472531 37612221 43417593 112836663 338509989 6983335699 20950007097 36195494009 62850021291 108586482027 188550063873 325759446081 977278338243 20160890163013 60482670489039 181448011467117 544344034401351