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4244749557841 = 1347321672
BaseRepresentation
bin111101110001001110110…
…010100010000001010001
3120000210102220011110102201
4331301032302202001101
51024021221341322331
613010002214243201
7615446564632252
oct75611662420121
916023386143381
104244749557841
111397208512a21
125867b2056501
1324a380190000
141096386dab29
1575637d9ca61
hex3dc4eca2051

4244749557841 has 45 divisors (see below), whose sum is σ = 4690407174711. Its totient is φ = 3841414918848.

The previous prime is 4244749557833. The next prime is 4244749557887. The reversal of 4244749557841 is 1487559474424.

The square root of 4244749557841 is 2060279.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4222757854225 + 21991703616 = 2054935^2 + 148296^2 .

It is not a de Polignac number, because 4244749557841 - 23 = 4244749557833 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4244749257841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25417661940 + ... + 25417662106.

Almost surely, 24244749557841 is an apocalyptic number.

4244749557841 is the 2060279-th square number.

4244749557841 is the 1030140-th centered octagonal number.

It is an amenable number.

4244749557841 is a deficient number, since it is larger than the sum of its proper divisors (445657616870).

4244749557841 is an frugal number, since it uses more digits than its factorization.

4244749557841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 253 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 64.

Multiplying 4244749557841 by its sum of digits (64), we get a square (271663971701824 = 164822322).

The spelling of 4244749557841 in words is "four trillion, two hundred forty-four billion, seven hundred forty-nine million, five hundred fifty-seven thousand, eight hundred forty-one".

Divisors: 1 13 73 167 169 949 2171 2197 5329 12191 12337 27889 28223 28561 69277 158483 160381 362557 366899 889943 900601 2035897 2060279 2084953 4713241 4769687 11569259 11707813 26466661 26783627 61272133 148620481 150400367 152201569 344066593 348187151 796537729 1932066253 1955204771 4472865709 25116861289 25417662023 58147254217 326519196757 4244749557841