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40540977040 = 245506762213
BaseRepresentation
bin100101110000011011…
…100011011110010000
310212122101000000111011
4211300123203132100
51131011442231130
630342501500304
72633433422224
oct456033433620
9125571000434
1040540977040
1116214363103
127a35111694
133a91183b15
141d6838c784
1510c424652a
hex9706e3790

40540977040 has 20 divisors (see below), whose sum is σ = 94257771804. Its totient is φ = 16216390784.

The previous prime is 40540977019. The next prime is 40540977047. The reversal of 40540977040 is 4077904504.

It can be written as a sum of positive squares in 2 ways, for example, as 15727166464 + 24813810576 = 125408^2 + 157524^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 40540976984 and 40540977002.

It is not an unprimeable number, because it can be changed into a prime (40540977047) 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 3 ways as a sum of consecutive naturals, for example, 253381027 + ... + 253381186.

Almost surely, 240540977040 is an apocalyptic number.

40540977040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40540977040 is an abundant number, since it is smaller than the sum of its proper divisors (53716794764).

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

40540977040 is a wasteful number, since it uses less digits than its factorization.

40540977040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506762226 (or 506762220 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 40540977040 in words is "forty billion, five hundred forty million, nine hundred seventy-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 506762213 1013524426 2027048852 2533811065 4054097704 5067622130 8108195408 10135244260 20270488520 40540977040