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4444104521025 = 3252134093714797
BaseRepresentation
bin100000010101011100101…
…0001010111010101000001
3120201212000021200212202200
41000222321101113111001
51040303011224133100
613241332103103413
7636035024103411
oct100527121272501
916655007625680
104444104521025
111463809165444
125b9369741b69
132631009752a0
1411514ac70641
157a9048a9e00
hex40ab9457541

4444104521025 has 72 divisors (see below), whose sum is σ = 8593145029560. Its totient is φ = 2182516945920.

The previous prime is 4444104521023. The next prime is 4444104521029. The reversal of 4444104521025 is 5201254014444.

4444104521025 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 104 + 521 + 0 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2533340172609 + 1910764348416 = 1591647^2 + 1382304^2 .

It is not a de Polignac number, because 4444104521025 - 21 = 4444104521023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4444104521023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 661074 + ... + 3053723.

Almost surely, 24444104521025 is an apocalyptic number.

4444104521025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4444104521025 is a deficient number, since it is larger than the sum of its proper divisors (4149040508535).

4444104521025 is a wasteful number, since it uses less digits than its factorization.

4444104521025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715235 (or 3715227 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 4444104521025 its reverse (5201254014444), we get a palindrome (9645358535469).

The spelling of 4444104521025 in words is "four trillion, four hundred forty-four billion, one hundred four million, five hundred twenty-one thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 409 585 975 1227 2045 2925 3681 5317 6135 10225 15951 18405 26585 30675 47853 79755 92025 132925 239265 398775 1196325 3714797 11144391 18573985 33433173 48292361 55721955 92869925 144877083 167165865 241461805 278609775 434631249 724385415 835829325 1207309025 1519351973 2173156245 3621927075 4558055919 7596759865 10865781225 13674167757 19751575649 22790279595 37983799325 59254726947 68370838785 98757878245 113951397975 177764180841 296273634735 341854193925 493789391225 888820904205 1481368173675 4444104521025