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40840768656 = 2432283616449
BaseRepresentation
bin100110000010010011…
…001010110010010000
310220102021010000021100
4212002103022302100
51132120214044111
630432331224400
72644033543242
oct460223126220
9126367100240
1040840768656
1116358604a76
127ab95a8100
133b0b30aacc
141d9610a092
1510e0713756
hex9824cac90

40840768656 has 30 divisors (see below), whose sum is σ = 114297429350. Its totient is φ = 13613589504.

The previous prime is 40840768597. The next prime is 40840768663. The reversal of 40840768656 is 65686704804.

40840768656 is a `hidden beast` number, since 408 + 40 + 76 + 86 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40763610000 + 77158656 = 201900^2 + 8784^2 .

It is a super-3 number, since 3×408407686563 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141808081 + ... + 141808368.

Almost surely, 240840768656 is an apocalyptic number.

It is an amenable number.

40840768656 is an abundant number, since it is smaller than the sum of its proper divisors (73456660694).

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

40840768656 is a wasteful number, since it uses less digits than its factorization.

40840768656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283616463 (or 283616454 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 40840768656 in words is "forty billion, eight hundred forty million, seven hundred sixty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 283616449 567232898 850849347 1134465796 1701698694 2268931592 2552548041 3403397388 4537863184 5105096082 6806794776 10210192164 13613589552 20420384328 40840768656