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40132108040 = 2351003302701
BaseRepresentation
bin100101011000000011…
…110101111100001000
310211120212122022122212
4211120003311330020
51124142304424130
630234134204252
72620340201303
oct453003657410
9124525568585
1040132108040
111602458a842
1279401b3688
133a275586bb
141d29d59b3a
15109d3cee95
hex9580f5f08

40132108040 has 16 divisors (see below), whose sum is σ = 90297243180. Its totient is φ = 16052843200.

The previous prime is 40132108021. The next prime is 40132108057. The reversal of 40132108040 is 4080123104.

It can be written as a sum of positive squares in 2 ways, for example, as 37827916036 + 2304192004 = 194494^2 + 48002^2 .

It is a super-2 number, since 2×401321080402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40132107997 and 40132108015.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 501651311 + ... + 501651390.

Almost surely, 240132108040 is an apocalyptic number.

40132108040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40132108040 is an abundant number, since it is smaller than the sum of its proper divisors (50165135140).

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

40132108040 is a wasteful number, since it uses less digits than its factorization.

40132108040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003302712 (or 1003302708 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The spelling of 40132108040 in words is "forty billion, one hundred thirty-two million, one hundred eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1003302701 2006605402 4013210804 5016513505 8026421608 10033027010 20066054020 40132108040