Search a number
-
+
444084391056 = 24329319026143
BaseRepresentation
bin1100111011001010111…
…11100000110010010000
31120110021000010110201010
412131211133200302100
524233441101003211
6540002021410520
744040553020315
oct6354537406220
91513230113633
10444084391056
11161376074939
1272096b69a40
1332b5294c237
14176cadb0d0c
15b841c754a6
hex67657e0c90

444084391056 has 40 divisors (see below), whose sum is σ = 1186777255680. Its totient is φ = 142923711616.

The previous prime is 444084391007. The next prime is 444084391067. The reversal of 444084391056 is 650193480444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 444084390996 and 444084391014.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 159511680 + ... + 159514463.

It is an arithmetic number, because the mean of its divisors is an integer number (29669431392).

Almost surely, 2444084391056 is an apocalyptic number.

It is an amenable number.

444084391056 is an abundant number, since it is smaller than the sum of its proper divisors (742692864624).

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

444084391056 is a wasteful number, since it uses less digits than its factorization.

444084391056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319026183 (or 319026177 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 444084391056 in words is "four hundred forty-four billion, eighty-four million, three hundred ninety-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 319026143 638052286 957078429 1276104572 1914156858 2552209144 3828313716 5104418288 7656627432 9251758147 15313254864 18503516294 27755274441 37007032588 55510548882 74014065176 111021097764 148028130352 222042195528 444084391056