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4442102344125 = 32534594985933
BaseRepresentation
bin100000010100100000111…
…1011101010100110111101
3120201122211202020202101200
41000221001323222212331
51040234411200003000
613240401301330113
7635634302634105
oct100510173524675
916648752222350
104442102344125
111462980a71296
125b8aab106939
13262b71c18124
14114ddadaa205
157a838c17500
hex40a41eea9bd

4442102344125 has 48 divisors (see below), whose sum is σ = 8007897284400. Its totient is φ = 2369042121600.

The previous prime is 4442102344117. The next prime is 4442102344157. The reversal of 4442102344125 is 5214432012444.

4442102344125 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 1 + 0 + 234 + 412 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 507921334596 + 3934181009529 = 712686^2 + 1983477^2 .

It is not a de Polignac number, because 4442102344125 - 23 = 4442102344117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4442102344125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51649659 + ... + 51735591.

It is an arithmetic number, because the mean of its divisors is an integer number (166831193425).

Almost surely, 24442102344125 is an apocalyptic number.

4442102344125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4442102344125 is a deficient number, since it is larger than the sum of its proper divisors (3565794940275).

4442102344125 is a wasteful number, since it uses less digits than its factorization.

4442102344125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131903 (or 131890 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 4442102344125 its reverse (5214432012444), we get a palindrome (9656534356569).

The spelling of 4442102344125 in words is "four trillion, four hundred forty-two billion, one hundred two million, three hundred forty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 45949 85933 137847 229745 257799 413541 429665 689235 773397 1148725 1288995 2067705 2148325 3446175 3866985 5743625 6444975 10338525 10741625 17230875 19334925 32224875 51692625 96674625 3948535417 11845606251 19742677085 35536818753 59228031255 98713385425 177684093765 296140156275 493566927125 888420468825 1480700781375 4442102344125