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42295230432 = 25337213313767
BaseRepresentation
bin100111011000111111…
…011111111111100000
311001011121221022202000
4213120333133333200
51143110034333212
631232525324000
73025054345500
oct473077377740
9131147838660
1042295230432
1116a346116a4
128244706600
133cb0747790
142093357a00
1511782651dc
hex9d8fdffe0

42295230432 has 1152 divisors, whose sum is σ = 166282260480. Its totient is φ = 10346434560.

The previous prime is 42295230379. The next prime is 42295230479. The reversal of 42295230432 is 23403259224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 631272063 + ... + 631272129.

It is an arithmetic number, because the mean of its divisors is an integer number (144342240).

Almost surely, 242295230432 is an apocalyptic number.

42295230432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42295230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83141130240).

42295230432 is an abundant number, since it is smaller than the sum of its proper divisors (123987030048).

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

42295230432 is a wasteful number, since it uses less digits than its factorization.

42295230432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 42295230432 its reverse (23403259224), we get a palindrome (65698489656).

The spelling of 42295230432 in words is "forty-two billion, two hundred ninety-five million, two hundred thirty thousand, four hundred thirty-two".