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444084804012 = 22337007067001
BaseRepresentation
bin1100111011001011000…
…01000101100110101100
31120110021000220110011210
412131211201011212230
524233441202212022
6540002034314420
744040556360263
oct6354541054654
91513230813153
10444084804012
11161376327123
1272097128a10
1332b52a651a5
14176cb07b5da
15b841d07a0c
hex67658459ac

444084804012 has 12 divisors (see below), whose sum is σ = 1036197876056. Its totient is φ = 148028268000.

The previous prime is 444084803989. The next prime is 444084804013. The reversal of 444084804012 is 210408480444.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×4440848040123 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (444084804013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18503533489 + ... + 18503533512.

Almost surely, 2444084804012 is an apocalyptic number.

It is an amenable number.

444084804012 is an abundant number, since it is smaller than the sum of its proper divisors (592113072044).

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

444084804012 is a wasteful number, since it uses less digits than its factorization.

444084804012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37007067008 (or 37007067006 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 39.

The spelling of 444084804012 in words is "four hundred forty-four billion, eighty-four million, eight hundred four thousand, twelve".

Divisors: 1 2 3 4 6 12 37007067001 74014134002 111021201003 148028268004 222042402006 444084804012