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441054343450144 = 2519725418328043
BaseRepresentation
bin110010001001000101111011…
…1011101111100111000100000
32010211122101100112101212001001
41210102023313131330320200
5430302213243410401034
64202013322422321344
7161621060535321664
oct14422136735747040
92124571315355031
10441054343450144
11118596107684026
1241573353289254
1315c143279742b8
147acb2036948a4
1535ecc8041ea14
hex19122f777ce20

441054343450144 has 24 divisors (see below), whose sum is σ = 914027093335440. Its totient is φ = 208920478476096.

The previous prime is 441054343450109. The next prime is 441054343450153.

441054343450144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441054343450094 and 441054343450103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 362709163414 + ... + 362709164629.

It is an arithmetic number, because the mean of its divisors is an integer number (38084462222310).

Almost surely, 2441054343450144 is an apocalyptic number.

It is an amenable number.

441054343450144 is an abundant number, since it is smaller than the sum of its proper divisors (472972749885296).

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

441054343450144 is a wasteful number, since it uses less digits than its factorization.

441054343450144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725418328072 (or 725418328064 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 46.

The spelling of 441054343450144 in words is "four hundred forty-one trillion, fifty-four billion, three hundred forty-three million, four hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 725418328043 1450836656086 2901673312172 5803346624344 11606693248688 13782948232817 23213386497376 27565896465634 55131792931268 110263585862536 220527171725072 441054343450144