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40959305973 = 3242110810057
BaseRepresentation
bin100110001001010111…
…010110100011110101
310220201112011022220100
4212021113112203311
51132341040242343
630452204024313
72650003233135
oct461127264365
9126645138810
1040959305973
11164095078a3
127b31232099
133b29a42031
141da7b64ac5
1510ead2a9d3
hex9895d68f5

40959305973 has 12 divisors (see below), whose sum is σ = 59303978188. Its totient is φ = 27241341120.

The previous prime is 40959305897. The next prime is 40959305977. The reversal of 40959305973 is 37950395904.

It is a happy number.

40959305973 is a `hidden beast` number, since 40 + 9 + 5 + 9 + 3 + 0 + 597 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1682804484 + 39276501489 = 41022^2 + 198183^2 .

It is a de Polignac number, because none of the positive numbers 2k-40959305973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40959305977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5401240 + ... + 5408817.

Almost surely, 240959305973 is an apocalyptic number.

It is an amenable number.

40959305973 is a deficient number, since it is larger than the sum of its proper divisors (18344672215).

40959305973 is a wasteful number, since it uses less digits than its factorization.

40959305973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10810484 (or 10810481 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 54.

The spelling of 40959305973 in words is "forty billion, nine hundred fifty-nine million, three hundred five thousand, nine hundred seventy-three".

Divisors: 1 3 9 421 1263 3789 10810057 32430171 97290513 4551033997 13653101991 40959305973