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4442113300104 = 233261696018057
BaseRepresentation
bin100000010100100001010…
…0101011101011010001000
3120201122212111212101011200
41000221002211131122020
51040234422001100404
613240402332224200
7635634465024534
oct100510245353210
916648774771150
104442113300104
111462987174717
125b8ab290b060
13262b74282b5c
14114ddc61cbc4
157a839b7d839
hex40a4295d688

4442113300104 has 24 divisors (see below), whose sum is σ = 12030723521310. Its totient is φ = 1480704433344.

The previous prime is 4442113300067. The next prime is 4442113300109. The reversal of 4442113300104 is 4010033112444.

4442113300104 is a `hidden beast` number, since 4 + 4 + 421 + 133 + 0 + 0 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4116070016100 + 326043284004 = 2028810^2 + 571002^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (4442113300109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30848008957 + ... + 30848009100.

Almost surely, 24442113300104 is an apocalyptic number.

It is an amenable number.

4442113300104 is an abundant number, since it is smaller than the sum of its proper divisors (7588610221206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4442113300104 is a wasteful number, since it uses less digits than its factorization.

4442113300104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61696018069 (or 61696018062 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4442113300104 its reverse (4010033112444), we get a palindrome (8452146412548).

The spelling of 4442113300104 in words is "four trillion, four hundred forty-two billion, one hundred thirteen million, three hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 61696018057 123392036114 185088054171 246784072228 370176108342 493568144456 555264162513 740352216684 1110528325026 1480704433368 2221056650052 4442113300104