Search a number
-
+
444554203234014 = 232141461174588443
BaseRepresentation
bin110010100010100011101011…
…1010111011111111011011110
32011022000222002210001010100200
41211011013113113133323132
5431232034002011442024
64213253214232004330
7162431660402535156
oct14505072727377336
92138028083033320
10444554203234014
111197154192487a5
1241a396bb2306a6
131610938756a433
147bac776d11766
15365dd1d2eb2c9
hex19451d75dfede

444554203234014 has 24 divisors (see below), whose sum is σ = 963207588139992. Its totient is φ = 148183686031920.

The previous prime is 444554203233991. The next prime is 444554203234093. The reversal of 444554203234014 is 410432302455444.

444554203234014 is a `hidden beast` number, since 4 + 4 + 4 + 554 + 20 + 3 + 23 + 40 + 14 = 666.

It is a super-2 number, since 2×4445542032340142 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84747924 + ... + 89840519.

It is an arithmetic number, because the mean of its divisors is an integer number (40133649505833).

Almost surely, 2444554203234014 is an apocalyptic number.

444554203234014 is an abundant number, since it is smaller than the sum of its proper divisors (518653384905978).

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

444554203234014 is a wasteful number, since it uses less digits than its factorization.

444554203234014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174729912 (or 174729909 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

Adding to 444554203234014 its reverse (410432302455444), we get a palindrome (854986505689458).

The spelling of 444554203234014 in words is "four hundred forty-four trillion, five hundred fifty-four billion, two hundred three million, two hundred thirty-four thousand, fourteen".

Divisors: 1 2 3 6 9 18 141461 282922 424383 848766 1273149 2546298 174588443 349176886 523765329 1047530658 1571295987 3142591974 24697455735223 49394911470446 74092367205669 148184734411338 222277101617007 444554203234014