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544224242422445 = 513457119315357053
BaseRepresentation
bin111101110111110000001010…
…0101001011101001010101101
32122100221022220011212200221112
41323233200110221131022231
51032313032222030004240
65205245055425241405
7222426622031254154
oct17357402451351255
92570838804780845
10544224242422445
11148452228a50482
1251056379793265
131a4891836609c0
14985684585859b
1542db7c4e74665
hex1eef814a5d2ad

544224242422445 has 32 divisors (see below), whose sum is σ = 705434998296672. Its totient is φ = 400673103777792.

The previous prime is 544224242422403. The next prime is 544224242422453.

544224242422445 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 176745272415364 + 367478970007081 = 13294558^2 + 19169741^2 .

It is a cyclic number.

It is not a de Polignac number, because 544224242422445 - 212 = 544224242418349 is a prime.

It is a super-3 number, since 3×5442242424224453 (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 544224242422393 and 544224242422402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27759539 + ... + 43116591.

It is an arithmetic number, because the mean of its divisors is an integer number (22044843696771).

Almost surely, 2544224242422445 is an apocalyptic number.

It is an amenable number.

544224242422445 is a deficient number, since it is larger than the sum of its proper divisors (161210755874227).

544224242422445 is a wasteful number, since it uses less digits than its factorization.

544224242422445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15358721.

The product of its digits is 26214400, while the sum is 50.

The spelling of 544224242422445 in words is "five hundred forty-four trillion, two hundred twenty-four billion, two hundred forty-two million, four hundred twenty-two thousand, four hundred forty-five".

Divisors: 1 5 13 65 457 1193 2285 5941 5965 15509 29705 77545 545201 2726005 7087613 15357053 35438065 76785265 199641689 998208445 7018173221 18320964229 35090866105 91236251873 91604821145 238172534977 456181259365 1190862674885 8372680652653 41863403263265 108844848484489 544224242422445