Search a number
-
+
42054450345 = 345103838149
BaseRepresentation
bin100111001010101000…
…111111110010101001
311000112211212102120000
4213022220333302221
51142111414402340
631153004453213
73016101633645
oct471250776251
9130484772500
1042054450345
1116920705a96
128197b4a209
133c728b285b
14206d39bc25
151162052d30
hex9caa3fca9

42054450345 has 20 divisors (see below), whose sum is σ = 75386496900. Its totient is φ = 22429039968.

The previous prime is 42054450331. The next prime is 42054450419. The reversal of 42054450345 is 54305445024.

42054450345 is a `hidden beast` number, since 4 + 20 + 544 + 50 + 3 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14640032016 + 27414418329 = 120996^2 + 165573^2 .

It is not a de Polignac number, because 42054450345 - 24 = 42054450329 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51918670 + ... + 51919479.

It is an arithmetic number, because the mean of its divisors is an integer number (3769324845).

Almost surely, 242054450345 is an apocalyptic number.

42054450345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42054450345 is a deficient number, since it is larger than the sum of its proper divisors (33332046555).

42054450345 is a wasteful number, since it uses less digits than its factorization.

42054450345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103838166 (or 103838157 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 42054450345 its reverse (54305445024), we get a palindrome (96359895369).

The spelling of 42054450345 in words is "forty-two billion, fifty-four million, four hundred fifty thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 103838149 311514447 519190745 934543341 1557572235 2803630023 4672716705 8410890069 14018150115 42054450345