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40405536643 = 2947132122441
BaseRepresentation
bin100101101000010110…
…111000111110000011
310212021221010221012011
4211220112320332003
51130222304133033
630321222513351
72630200252243
oct455026707603
9125257127164
1040405536643
111615496579a
1279b7895857
133a6c0b1c84
141d543b3b23
1510b73e0ccd
hex9685b8f83

40405536643 has 16 divisors (see below), whose sum is σ = 42722386560. Its totient is φ = 38151590400.

The previous prime is 40405536601. The next prime is 40405536653. The reversal of 40405536643 is 34663550404.

It is a happy number.

40405536643 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40405536643 is a prime.

It is a super-3 number, since 3×404055366433 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40405536596 and 40405536605.

It is not an unprimeable number, because it can be changed into a prime (40405536653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1789303 + ... + 1811743.

It is an arithmetic number, because the mean of its divisors is an integer number (2670149160).

Almost surely, 240405536643 is an apocalyptic number.

40405536643 is a deficient number, since it is larger than the sum of its proper divisors (2316849917).

40405536643 is a wasteful number, since it uses less digits than its factorization.

40405536643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23838.

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 40405536643 in words is "forty billion, four hundred five million, five hundred thirty-six thousand, six hundred forty-three".

Divisors: 1 29 47 1321 1363 22441 38309 62087 650789 1054727 1800523 29644561 30587083 859692269 1393294367 40405536643