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42434402010 = 2357111337181211
BaseRepresentation
bin100111100001010010…
…011001011011011010
311001112022210222020220
4213201102121123122
51143401201331020
631254420300510
73031364315520
oct474122313332
9131468728226
1042434402010
1116aa6128330
128283241736
134003524a20
1420a7a24310
1511855a6240
hex9e14996da

42434402010 has 512 divisors, whose sum is σ = 141880467456. Its totient is φ = 7838208000.

The previous prime is 42434402009. The next prime is 42434402011. The reversal of 42434402010 is 1020443424.

It is a happy number.

42434402010 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 (42434402009) and next prime (42434402011).

It is not an unprimeable number, because it can be changed into a prime (42434402011) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 201110805 + ... + 201111015.

It is an arithmetic number, because the mean of its divisors is an integer number (277110288).

Almost surely, 242434402010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42434402010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70940233728).

42434402010 is an abundant number, since it is smaller than the sum of its proper divisors (99446065446).

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

42434402010 is a wasteful number, since it uses less digits than its factorization.

42434402010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42434402010 its reverse (1020443424), we get a palindrome (43454845434).

It can be divided in two parts, 42434 and 402010, that added together give a palindrome (444444).

The spelling of 42434402010 in words is "forty-two billion, four hundred thirty-four million, four hundred two thousand, ten".