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42430201000 = 235311101181211
BaseRepresentation
bin100111100001000010…
…010111110010101000
311001112000220112112221
4213201002113302220
51143344112413000
631254150243424
73031313520625
oct474102276250
9131460815487
1042430201000
1116aa3819020
128281956574
1340026b3815
1420a724d34c
15118502661a
hex9e1097ca8

42430201000 has 256 divisors, whose sum is σ = 110510749440. Its totient is φ = 15120000000.

The previous prime is 42430200971. The next prime is 42430201001. The reversal of 42430201000 is 10203424.

It is not an unprimeable number, because it can be changed into a prime (42430201001) 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, 201090895 + ... + 201091105.

It is an arithmetic number, because the mean of its divisors is an integer number (431682615).

Almost surely, 242430201000 is an apocalyptic number.

42430201000 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 42430201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55255374720).

42430201000 is an abundant number, since it is smaller than the sum of its proper divisors (68080548440).

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

42430201000 is a wasteful number, since it uses less digits than its factorization.

42430201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 42430201000 its reverse (10203424), we get a palindrome (42440404424).

The spelling of 42430201000 in words is "forty-two billion, four hundred thirty million, two hundred one thousand".