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444013528025 = 52171044737713
BaseRepresentation
bin1100111011000010100…
…01001100001111011001
31120110002001210020220102
412131201101030033121
524233314430344100
6535551010505145
744036032500464
oct6354121141731
91513061706812
10444013528025
1116133a074451
12720772951b5
1332b4106a952
14176c18062db
15b83a928cd5
hex676144c3d9

444013528025 has 12 divisors (see below), whose sum is σ = 582963644412. Its totient is φ = 334316067840.

The previous prime is 444013528001. The next prime is 444013528039. The reversal of 444013528025 is 520825310444.

It can be written as a sum of positive squares in 6 ways, for example, as 55276241881 + 388737286144 = 235109^2 + 623488^2 .

It is not a de Polignac number, because 444013528025 - 224 = 443996750809 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 444013528025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522368432 + ... + 522369281.

It is an arithmetic number, because the mean of its divisors is an integer number (48580303701).

Almost surely, 2444013528025 is an apocalyptic number.

It is an amenable number.

444013528025 is a deficient number, since it is larger than the sum of its proper divisors (138950116387).

444013528025 is a wasteful number, since it uses less digits than its factorization.

444013528025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044737740 (or 1044737735 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

Adding to 444013528025 its reverse (520825310444), we get a palindrome (964838838469).

The spelling of 444013528025 in words is "four hundred forty-four billion, thirteen million, five hundred twenty-eight thousand, twenty-five".

Divisors: 1 5 17 25 85 425 1044737713 5223688565 17760541121 26118442825 88802705605 444013528025