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42531434040 = 2335354428617
BaseRepresentation
bin100111100111000100…
…100010111000111000
311001210002101201011210
4213213010202320320
51144101021342130
631312204123120
73033653136654
oct474704427070
9131702351153
1042531434040
1117045981997
1282ab8364a0
13401a669624
1420b6881a64
15118dd715b0
hex9e7122e38

42531434040 has 32 divisors (see below), whose sum is σ = 127594302480. Its totient is φ = 11341715712.

The previous prime is 42531434021. The next prime is 42531434047. The reversal of 42531434040 is 4043413524.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42531433989 and 42531434007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42531434047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177214189 + ... + 177214428.

Almost surely, 242531434040 is an apocalyptic number.

42531434040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42531434040 is an abundant number, since it is smaller than the sum of its proper divisors (85062868440).

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

42531434040 is a wasteful number, since it uses less digits than its factorization.

42531434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354428631 (or 354428627 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 42531434040 its reverse (4043413524), we get a palindrome (46574847564).

The spelling of 42531434040 in words is "forty-two billion, five hundred thirty-one million, four hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 354428617 708857234 1063285851 1417714468 1772143085 2126571702 2835428936 3544286170 4253143404 5316429255 7088572340 8506286808 10632858510 14177144680 21265717020 42531434040