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444110134330242 = 232162740913706817
BaseRepresentation
bin110010011111010100111001…
…0110011000100001110000010
32011020110111212212001111012200
41210332221302303010032002
5431202300023342031432
64212313213522134030
7162354620065250142
oct14476516263041602
92136414785044180
10444110134330242
111195640609a1776
12419876294b1316
13160a6537bb1593
147b9508c012922
1536524ccad4a7c
hex193ea72cc4382

444110134330242 has 48 divisors (see below), whose sum is σ = 963065656361952. Its totient is φ = 147909520304640.

The previous prime is 444110134330207. The next prime is 444110134330307. The reversal of 444110134330242 is 242033431011444.

444110134330242 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 1 + 0 + 1 + 343 + 302 + 4 + 2 = 666.

It is a super-2 number, since 2×4441101343302422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444110134330197 and 444110134330206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117955618 + ... + 121662434.

It is an arithmetic number, because the mean of its divisors is an integer number (20063867840874).

Almost surely, 2444110134330242 is an apocalyptic number.

444110134330242 is an abundant number, since it is smaller than the sum of its proper divisors (518955522031710).

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

444110134330242 is a wasteful number, since it uses less digits than its factorization.

444110134330242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712543 (or 3712540 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 444110134330242 its reverse (242033431011444), we get a palindrome (686143565341686).

The spelling of 444110134330242 in words is "four hundred forty-four trillion, one hundred ten billion, one hundred thirty-four million, three hundred thirty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 1627 3254 4091 4881 8182 9762 12273 14643 24546 29286 36819 73638 3706817 6656057 7413634 11120451 13312114 19968171 22240902 33361353 39936342 59904513 66722706 119809026 6030991259 12061982518 15164588347 18092973777 30329176694 36185947554 45493765041 54278921331 90987530082 108557842662 136481295123 272962590246 24672785240569 49345570481138 74018355721707 148036711443414 222055067165121 444110134330242