Search a number
-
+
42002002332 = 223329131167613
BaseRepresentation
bin100111000111100000…
…111011000110011100
311000102012011210102000
4213013200323012130
51142010003033312
631143452402300
73014564062203
oct470740730634
9130365153360
1042002002332
11168a4043024
128182476390
133c64a7b124
14206642823a
15115c642adc
hex9c783b19c

42002002332 has 192 divisors, whose sum is σ = 114374937600. Its totient is φ = 13312615680.

The previous prime is 42002002327. The next prime is 42002002369. The reversal of 42002002332 is 23320020024.

42002002332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68518458 + ... + 68519070.

It is an arithmetic number, because the mean of its divisors is an integer number (595702800).

Almost surely, 242002002332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42002002332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57187468800).

42002002332 is an abundant number, since it is smaller than the sum of its proper divisors (72372935268).

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

42002002332 is a wasteful number, since it uses less digits than its factorization.

42002002332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 42002002332 its reverse (23320020024), we get a palindrome (65322022356).

The spelling of 42002002332 in words is "forty-two billion, two million, two thousand, three hundred thirty-two".