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442115135325 = 32523116318187
BaseRepresentation
bin1100110111100000001…
…11011001011101011101
31120021011202121220200200
412123300013121131131
524220422433312300
6535034353414113
743641011434053
oct6336007313535
91507152556620
10442115135325
11160555516966
127182756a339
13328ca97a866
141758163a1d3
15b778e37200
hex66f01d975d

442115135325 has 36 divisors (see below), whose sum is σ = 794423686368. Its totient is φ = 235036519200.

The previous prime is 442115135323. The next prime is 442115135359. The reversal of 442115135325 is 523531511244.

442115135325 is a `hidden beast` number, since 4 + 4 + 2 + 115 + 1 + 3 + 532 + 5 = 666.

It is not a de Polignac number, because 442115135325 - 21 = 442115135323 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 442115135325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442115135323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3089119 + ... + 3229068.

Almost surely, 2442115135325 is an apocalyptic number.

442115135325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442115135325 is a deficient number, since it is larger than the sum of its proper divisors (352308551043).

442115135325 is a wasteful number, since it uses less digits than its factorization.

442115135325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6318514 (or 6318506 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

Adding to 442115135325 its reverse (523531511244), we get a palindrome (965646646569).

The spelling of 442115135325 in words is "four hundred forty-two billion, one hundred fifteen million, one hundred thirty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 311 933 1555 2799 4665 7775 13995 23325 69975 6318187 18954561 31590935 56863683 94772805 157954675 284318415 473864025 1421592075 1964956157 5894868471 9824780785 17684605413 29474342355 49123903925 88423027065 147371711775 442115135325