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4442134023404 = 2272116730751627
BaseRepresentation
bin100000010100100001111…
…0100100000110011101100
3120201122220221212020012022
41000221003310200303230
51040234442302222104
613240404352325312
7635635136125400
oct100510364406354
916648827766168
104442134023404
111462997939410
125b8ab9843838
13262b7865a56c
14115001295100
157a83b8c3bbe
hex40a43d20cec

4442134023404 has 72 divisors (see below), whose sum is σ = 10012238050752. Its totient is φ = 1704870145440.

The previous prime is 4442134023389. The next prime is 4442134023451. The reversal of 4442134023404 is 4043204312444.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15231362 + ... + 15520265.

It is an arithmetic number, because the mean of its divisors is an integer number (139058861816).

Almost surely, 24442134023404 is an apocalyptic number.

4442134023404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4442134023404 is an abundant number, since it is smaller than the sum of its proper divisors (5570104027348).

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

4442134023404 is a wasteful number, since it uses less digits than its factorization.

4442134023404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30751723 (or 30751714 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 35.

Adding to 4442134023404 its reverse (4043204312444), we get a palindrome (8485338335848).

The spelling of 4442134023404 in words is "four trillion, four hundred forty-two billion, one hundred thirty-four million, twenty-three thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 49 67 77 98 134 154 196 268 308 469 539 737 938 1078 1474 1876 2156 2948 3283 5159 6566 10318 13132 20636 36113 72226 144452 30751627 61503254 123006508 215261389 338267897 430522778 676535794 861045556 1353071588 1506829723 2060359009 2367875279 3013659446 4120718018 4735750558 6027318892 8241436036 9471501116 14422513063 16575126953 22663949099 28845026126 33150253906 45327898198 57690052252 66300507812 90655796396 100957591441 158647643693 201915182882 317295287386 403830365764 634590574772 1110533505851 2221067011702 4442134023404