Search a number
-
+
42002402004 = 22323049382661
BaseRepresentation
bin100111000111100010…
…011100101011010100
311000102012221002122200
4213013202130223110
51142010103331004
631143505124500
73014600345343
oct470742345324
9130365832580
1042002402004
11168a4296332
128182629730
133c64b8b014
1420664cdb5a
15115c6c1239
hex9c789cad4

42002402004 has 36 divisors (see below), whose sum is σ = 106207838100. Its totient is φ = 13996172160.

The previous prime is 42002401999. The next prime is 42002402009. The reversal of 42002402004 is 40020420024.

42002402004 is a `hidden beast` number, since 420 + 0 + 2 + 40 + 200 + 4 = 666.

42002402004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42002401999) and next prime (42002402009).

It can be written as a sum of positive squares in 2 ways, for example, as 6699749904 + 35302652100 = 81852^2 + 187890^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42002402009) 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, 81567 + ... + 301094.

It is an arithmetic number, because the mean of its divisors is an integer number (2950217725).

Almost surely, 242002402004 is an apocalyptic number.

It is an amenable number.

42002402004 is an abundant number, since it is smaller than the sum of its proper divisors (64205436096).

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

42002402004 is a wasteful number, since it uses less digits than its factorization.

42002402004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385720 (or 385715 counting only the distinct ones).

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

Adding to 42002402004 its reverse (40020420024), we get a palindrome (82022822028).

The spelling of 42002402004 in words is "forty-two billion, two million, four hundred two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 3049 6098 9147 12196 18294 27441 36588 54882 109764 382661 765322 1147983 1530644 2295966 3443949 4591932 6887898 13775796 1166733389 2333466778 3500200167 4666933556 7000400334 10500600501 14000800668 21001201002 42002402004