Search a number
-
+
42000002004204 = 22321166666722339
BaseRepresentation
bin10011000110010111000110…
…01100110011010011101100
312111201011100100112200112100
421203023203030303103230
521001112001003113304
6225154311244135100
711563254126426666
oct1143134314632354
9174634310480470
1042000002004204
1112423112214722
124863a6b837490
131a5877738114a
14a52b4d32b536
154cc7b2e93439
hex2632e33334ec

42000002004204 has 18 divisors (see below), whose sum is σ = 106166671732940. Its totient is φ = 14000000668056.

The previous prime is 42000002004197. The next prime is 42000002004217. The reversal of 42000002004204 is 40240020000024.

42000002004204 is a `hidden beast` number, since 42 + 0 + 0 + 0 + 0 + 0 + 200 + 420 + 4 = 666.

42000002004204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 583333361134 + ... + 583333361205.

Almost surely, 242000002004204 is an apocalyptic number.

It is an amenable number.

42000002004204 is an abundant number, since it is smaller than the sum of its proper divisors (64166669728736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42000002004204 is a wasteful number, since it uses less digits than its factorization.

42000002004204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166666722349 (or 1166666722344 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 42000002004204 its reverse (40240020000024), we get a palindrome (82240022004228).

The spelling of 42000002004204 in words is "forty-two trillion, two million, four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 1166666722339 2333333444678 3500000167017 4666666889356 7000000334034 10500000501051 14000000668068 21000001002102 42000002004204