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444541145444 = 22112918473441
BaseRepresentation
bin1100111100000001011…
…01111001000101100100
31120111102211120222221022
412132000231321011210
524240410013123234
6540115215310312
744055100250624
oct6360055710544
91514384528838
10444541145444
1116158a984200
12721a3b1b398
1332bc64723c6
141773190a884
15b86bde9e2e
hex6780b79164

444541145444 has 18 divisors (see below), whose sum is σ = 855098774502. Its totient is φ = 202064156800.

The previous prime is 444541145417. The next prime is 444541145491.

444541145444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 429926753344 + 14614392100 = 655688^2 + 120890^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 444541145395 and 444541145404.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 459236237 + ... + 459237204.

Almost surely, 2444541145444 is an apocalyptic number.

444541145444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444541145444 is a deficient number, since it is larger than the sum of its proper divisors (410557629058).

444541145444 is a wasteful number, since it uses less digits than its factorization.

444541145444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918473467 (or 918473454 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 44.

It can be divided in two parts, 444541 and 145444, that added together give a palindrome (589985).

The spelling of 444541145444 in words is "four hundred forty-four billion, five hundred forty-one million, one hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 121 242 484 918473441 1836946882 3673893764 10103207851 20206415702 40412831404 111135286361 222270572722 444541145444