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42520115040 = 25351343315737
BaseRepresentation
bin100111100110011001…
…010111011101100000
311001202022002122102120
4213212121113131200
51144040122140130
631311121344240
73033455004654
oct474631273540
9131668078376
1042520115040
111703a550847
1282a7a98080
1340182055b0
1420b5176a64
15118cd87910
hex9e6657760

42520115040 has 192 divisors, whose sum is σ = 144583621056. Its totient is φ = 10441654272.

The previous prime is 42520115039. The next prime is 42520115051. The reversal of 42520115040 is 4051102524.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42520115040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2694052 + ... + 2709788.

It is an arithmetic number, because the mean of its divisors is an integer number (753039693).

Almost surely, 242520115040 is an apocalyptic number.

42520115040 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 42520115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72291810528).

42520115040 is an abundant number, since it is smaller than the sum of its proper divisors (102063506016).

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

42520115040 is a wasteful number, since it uses less digits than its factorization.

42520115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16201 (or 16193 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 42520115040 its reverse (4051102524), we get a palindrome (46571217564).

The spelling of 42520115040 in words is "forty-two billion, five hundred twenty million, one hundred fifteen thousand, forty".