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444242130103404 = 223311867346621139
BaseRepresentation
bin110010100000010010010111…
…0010110111110110001101100
32011020221010120212101111221000
41211000210232112332301230
5431211430340301302104
64212454003413440300
7162400302054643143
oct14500445626766154
92136833525344830
10444242130103404
11119605036090806
12419a9126640090
13160b5b123b0579
147b9b61059675a
153655b55c73639
hex194092e5bec6c

444242130103404 has 48 divisors (see below), whose sum is σ = 1151835913065600. Its totient is φ = 148068231246288.

The previous prime is 444242130103403. The next prime is 444242130103423. The reversal of 444242130103404 is 404301031242444.

444242130103404 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 4 + 2 + 1 + 301 + 0 + 340 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (444242130103403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172028934 + ... + 174592205.

It is an arithmetic number, because the mean of its divisors is an integer number (23996581522200).

Almost surely, 2444242130103404 is an apocalyptic number.

It is an amenable number.

444242130103404 is an abundant number, since it is smaller than the sum of its proper divisors (707593782962196).

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

444242130103404 is a wasteful number, since it uses less digits than its factorization.

444242130103404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346633019 (or 346633011 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 444242130103404 its reverse (404301031242444), we get a palindrome (848543161345848).

The spelling of 444242130103404 in words is "four hundred forty-four trillion, two hundred forty-two billion, one hundred thirty million, one hundred three thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 11867 23734 35601 47468 71202 106803 142404 213606 320409 427212 640818 1281636 346621139 693242278 1039863417 1386484556 2079726834 3119590251 4159453668 6239180502 9358770753 12478361004 18717541506 37435083012 4113353056513 8226706113026 12340059169539 16453412226052 24680118339078 37020177508617 49360236678156 74040355017234 111060532525851 148080710034468 222121065051702 444242130103404