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4442784223681 = 294491448923549
BaseRepresentation
bin100000010100110101010…
…0100110101000111000001
3120201201121021022211022001
41000221222210311013001
51040242310230124211
613240553100344001
7635660222545126
oct100515244650701
916651537284261
104442784223681
1114631a0964511
125b905b545001
13262c5028175b
1411506378874d
157a878a0aac1
hex40a6a9351c1

4442784223681 has 16 divisors (see below), whose sum is σ = 4606733250000. Its totient is φ = 4279553990656.

The previous prime is 4442784223679. The next prime is 4442784223763. The reversal of 4442784223681 is 1863224872444.

It can be written as a sum of positive squares in 8 ways, for example, as 1052232814656 + 3390551409025 = 1025784^2 + 1841345^2 .

It is not a de Polignac number, because 4442784223681 - 21 = 4442784223679 is a prime.

It is a super-3 number, since 3×44427842236813 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4442784223181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188649495 + ... + 188673043.

It is an arithmetic number, because the mean of its divisors is an integer number (287920828125).

Almost surely, 24442784223681 is an apocalyptic number.

It is an amenable number.

4442784223681 is a deficient number, since it is larger than the sum of its proper divisors (163949026319).

4442784223681 is a wasteful number, since it uses less digits than its factorization.

4442784223681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38516.

The product of its digits is 16515072, while the sum is 55.

The spelling of 4442784223681 in words is "four trillion, four hundred forty-two billion, seven hundred eighty-four million, two hundred twenty-three thousand, six hundred eighty-one".

Divisors: 1 29 449 13021 14489 23549 420181 682921 6505561 10573501 188661269 306631529 341201461 9894842369 153199455989 4442784223681