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42033040040 = 2352345688087
BaseRepresentation
bin100111001001010111…
…010100101010101000
311000111100120200010202
4213021113110222220
51142040424240130
631150521531332
73015421642145
oct471127245250
9130440520122
1042033040040
111690a612122
128190943b48
133c6b327534
14206a5c73cc
151160224145
hex9c95d4aa8

42033040040 has 32 divisors (see below), whose sum is σ = 98686270080. Its totient is φ = 16082206272.

The previous prime is 42033040019. The next prime is 42033040051. The reversal of 42033040040 is 4004033024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42033039994 and 42033040021.

It is an unprimeable number.

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, 22843124 + ... + 22844963.

It is an arithmetic number, because the mean of its divisors is an integer number (3083945940).

Almost surely, 242033040040 is an apocalyptic number.

42033040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42033040040 is an abundant number, since it is smaller than the sum of its proper divisors (56653230040).

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

42033040040 is a wasteful number, since it uses less digits than its factorization.

42033040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45688121 (or 45688117 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 42033040040 its reverse (4004033024), we get a palindrome (46037073064).

The spelling of 42033040040 in words is "forty-two billion, thirty-three million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 45688087 91376174 182752348 228440435 365504696 456880870 913761740 1050826001 1827523480 2101652002 4203304004 5254130005 8406608008 10508260010 21016520020 42033040040