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42834000141 = 325418797289
BaseRepresentation
bin100111111001000110…
…101111100100001101
311002120011201122211200
4213321012233210031
51200211001001031
631402213140113
73044315664612
oct477106574415
9132504648750
1042834000141
1117190749319
12837502a639
13406825541a
142104b22509
1511aa6da8e6
hex9f91af90d

42834000141 has 12 divisors (see below), whose sum is σ = 61985705340. Its totient is φ = 28503213120.

The previous prime is 42834000133. The next prime is 42834000203. The reversal of 42834000141 is 14100043824.

42834000141 is a `hidden beast` number, since 42 + 83 + 400 + 0 + 141 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24907468041 + 17926532100 = 157821^2 + 133890^2 .

It is not a de Polignac number, because 42834000141 - 23 = 42834000133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42834000101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4393776 + ... + 4403513.

It is an arithmetic number, because the mean of its divisors is an integer number (5165475445).

Almost surely, 242834000141 is an apocalyptic number.

It is an amenable number.

42834000141 is a deficient number, since it is larger than the sum of its proper divisors (19151705199).

42834000141 is a wasteful number, since it uses less digits than its factorization.

42834000141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8797836 (or 8797833 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 42834000141 its reverse (14100043824), we get a palindrome (56934043965).

The spelling of 42834000141 in words is "forty-two billion, eight hundred thirty-four million, one hundred forty-one", and thus it is an aban number.

Divisors: 1 3 9 541 1623 4869 8797289 26391867 79175601 4759333349 14278000047 42834000141