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42459034005 = 36534132
BaseRepresentation
bin100111100010110000…
…010111000110010101
311001121001011102000000
4213202300113012111
51143424003042010
631301100241513
73032113556103
oct474260270625
9131531142000
1042459034005
1117009021753
12828b540299
13400866a57b
1420aadd6c73
15118781e7c0
hex9e2c17195

42459034005 has 42 divisors (see below), whose sum is σ = 76413704514. Its totient is φ = 22638183264.

The previous prime is 42459034003. The next prime is 42459034021. The reversal of 42459034005 is 50043095424.

It is a happy number.

42459034005 is a `hidden beast` number, since 4 + 24 + 590 + 3 + 40 + 0 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 24676011396 + 17783022609 = 157086^2 + 133353^2 .

It is not a de Polignac number, because 42459034005 - 21 = 42459034003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42459034003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 12438679 + ... + 12442091.

It is an arithmetic number, because the mean of its divisors is an integer number (1819373917).

Almost surely, 242459034005 is an apocalyptic number.

42459034005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42459034005 is a deficient number, since it is larger than the sum of its proper divisors (33954670509).

42459034005 is an frugal number, since it uses more digits than its factorization.

42459034005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6849 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 42459034005 in words is "forty-two billion, four hundred fifty-nine million, thirty-four thousand, five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3413 3645 10239 17065 30717 51195 92151 153585 276453 460755 829359 1382265 2488077 4146795 11648569 12440385 34945707 58242845 104837121 174728535 314511363 524185605 943534089 1572556815 2830602267 4717670445 8491806801 14153011335 42459034005