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42030340320 = 25351729473779
BaseRepresentation
bin100111001001001101…
…000001100011100000
311000111011111111211010
4213021031001203200
51142034231342240
631150344020520
73015356666223
oct471115014340
9130434444733
1042030340320
1116909038851
12818ba61740
133c6a8c0777
14206a0c35ba
15115ed8e280
hex9c93418e0

42030340320 has 384 divisors, whose sum is σ = 148142131200. Its totient is φ = 9965699072.

The previous prime is 42030340309. The next prime is 42030340327. The reversal of 42030340320 is 2304303024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42030340327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11120191 + ... + 11123969.

It is an arithmetic number, because the mean of its divisors is an integer number (385786800).

Almost surely, 242030340320 is an apocalyptic number.

42030340320 is a gapful number since it is divisible by the number (40) 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 42030340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74071065600).

42030340320 is an abundant number, since it is smaller than the sum of its proper divisors (106111790880).

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

42030340320 is a wasteful number, since it uses less digits than its factorization.

42030340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3890 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 42030340320 its reverse (2304303024), we get a palindrome (44334643344).

The spelling of 42030340320 in words is "forty-two billion, thirty million, three hundred forty thousand, three hundred twenty".