Search a number
-
+
42416064303 = 3192291678087
BaseRepresentation
bin100111100000001100…
…011100011100101111
311001111001022022122120
4213200030130130233
51143332003024203
631252523244023
73031052412024
oct474014343457
9131431268576
1042416064303
1116a968429a8
128279079613
133ccc7a4102
1420a540d54b
151183b82b53
hex9e031c72f

42416064303 has 48 divisors (see below), whose sum is σ = 62123604480. Its totient is φ = 25707269952.

The previous prime is 42416064281. The next prime is 42416064389. The reversal of 42416064303 is 30346061424.

42416064303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42416064303 - 29 = 42416063791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42416064203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5240926 + ... + 5249012.

It is an arithmetic number, because the mean of its divisors is an integer number (1294241760).

Almost surely, 242416064303 is an apocalyptic number.

42416064303 is a deficient number, since it is larger than the sum of its proper divisors (19707540177).

42416064303 is a wasteful number, since it uses less digits than its factorization.

42416064303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8324 (or 8305 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 42416064303 in words is "forty-two billion, four hundred sixteen million, sixty-four thousand, three hundred three".

Divisors: 1 3 19 29 57 87 167 361 501 551 1083 1653 3173 4843 8087 9519 10469 14529 24261 31407 60287 92017 153653 180861 234523 276051 460959 703569 1350529 1748323 2919407 4051587 4455937 5244969 8758221 13367811 25660051 39165341 76980153 84662803 117496023 253988409 487540969 744141479 1462622907 2232424437 14138688101 42416064303