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524144441425 = 521110118871087
BaseRepresentation
bin1111010000010010111…
…00010111100001010001
31212002220112020102022211
413220021130113201101
532041421434111200
61040442202232121
752603534146013
oct7501134274121
91762815212284
10524144441425
11192319966720
12856baab5641
133a57134abc7
141b523adc1b3
15d97a656aba
hex7a09717851

524144441425 has 24 divisors (see below), whose sum is σ = 716044563072. Its totient is φ = 377421720000.

The previous prime is 524144441399. The next prime is 524144441459.

524144441425 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 524144441425 - 227 = 524010223697 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9407769 + ... + 9463318.

It is an arithmetic number, because the mean of its divisors is an integer number (29835190128).

Almost surely, 2524144441425 is an apocalyptic number.

524144441425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

524144441425 is a deficient number, since it is larger than the sum of its proper divisors (191900121647).

524144441425 is a wasteful number, since it uses less digits than its factorization.

524144441425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18871209 (or 18871204 counting only the distinct ones).

The product of its digits is 409600, while the sum is 40.

It can be divided in two parts, 524144 and 441425, that added together give a palindrome (965569).

The spelling of 524144441425 in words is "five hundred twenty-four billion, one hundred forty-four million, four hundred forty-one thousand, four hundred twenty-five".

Divisors: 1 5 11 25 55 101 275 505 1111 2525 5555 27775 18871087 94355435 207581957 471777175 1037909785 1905979787 5189548925 9529898935 20965777657 47649494675 104828888285 524144441425