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42351024144 = 2431121333319
BaseRepresentation
bin100111011100010100…
…010101100000010000
311001022111220221022210
4213130110111200100
51143213330233034
631242241232120
73026332523412
oct473424254020
9131274827283
1042351024144
1116a6305a300
12825b332640
133cbc181000
14209a91c9b2
15117d0d68e9
hex9dc515810

42351024144 has 240 divisors, whose sum is σ = 130313187200. Its totient is φ = 11842871040.

The previous prime is 42351024143. The next prime is 42351024151. The reversal of 42351024144 is 44142015324.

It is not an unprimeable number, because it can be changed into a prime (42351024143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12758517 + ... + 12761835.

Almost surely, 242351024144 is an apocalyptic number.

42351024144 is a gapful number since it is divisible by the number (44) 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 42351024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65156593600).

42351024144 is an abundant number, since it is smaller than the sum of its proper divisors (87962163056).

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

42351024144 is a wasteful number, since it uses less digits than its factorization.

42351024144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 42351024144 its reverse (44142015324), we get a palindrome (86493039468).

The spelling of 42351024144 in words is "forty-two billion, three hundred fifty-one million, twenty-four thousand, one hundred forty-four".