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444242014223133 = 37413740913792417
BaseRepresentation
bin110010100000010010010011…
…1011100111011101100011101
32011020221010021210100012002010
41211000210213130323230131
5431211430121120120013
64212453544114021433
7162400266146660610
oct14500444734735435
92136833253305063
10444242014223133
11119604a86733195
12419a90b3877879
13160b5ac4399869
147b9b5dd030177
153655b4a9d37c3
hex194092773bb1d

444242014223133 has 32 divisors (see below), whose sum is σ = 693469536318720. Its totient is φ = 247654414909440.

The previous prime is 444242014222991. The next prime is 444242014223153. The reversal of 444242014223133 is 331322410242444.

It is not a de Polignac number, because 444242014223133 - 29 = 444242014222621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444242014223091 and 444242014223100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444242014223153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25312941 + ... + 39105357.

It is an arithmetic number, because the mean of its divisors is an integer number (21670923009960).

Almost surely, 2444242014223133 is an apocalyptic number.

It is an amenable number.

444242014223133 is a deficient number, since it is larger than the sum of its proper divisors (249227522095587).

444242014223133 is a wasteful number, since it uses less digits than its factorization.

444242014223133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13829877.

The product of its (nonzero) digits is 442368, while the sum is 39.

Adding to 444242014223133 its reverse (331322410242444), we get a palindrome (775564424465577).

The spelling of 444242014223133 in words is "four hundred forty-four trillion, two hundred forty-two billion, fourteen million, two hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 7 21 41 123 287 861 37409 112227 261863 785589 1533769 4601307 10736383 13792417 32209149 41377251 96546919 289640757 565489097 1696467291 3958423679 11875271037 515960527553 1547881582659 3611723692871 10835171078613 21154381629673 63463144889019 148080671407711 444242014223133