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408106738041 = 31315081204377
BaseRepresentation
bin1011111000001010000…
…11101010000101111001
31110000101122211022221220
411330011003222011321
523141300311104131
6511252011422253
741325160015542
oct5740503520571
91400348738856
10408106738041
11148093683702
1267116154989
132c63b013b62
1415a76ad34c9
15a938479e96
hex5f050ea179

408106738041 has 16 divisors (see below), whose sum is σ = 548406669888. Its totient is φ = 269939820800.

The previous prime is 408106738027. The next prime is 408106738051. The reversal of 408106738041 is 140837601804.

It is a cyclic number.

It is not a de Polignac number, because 408106738041 - 214 = 408106721657 is a prime.

It is a super-2 number, since 2×4081067380412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 408106737984 and 408106738002.

It is not an unprimeable number, because it can be changed into a prime (408106738051) 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 15 ways as a sum of consecutive naturals, for example, 1894645 + ... + 2099021.

It is an arithmetic number, because the mean of its divisors is an integer number (34275416868).

Almost surely, 2408106738041 is an apocalyptic number.

It is an amenable number.

408106738041 is a deficient number, since it is larger than the sum of its proper divisors (140299931847).

408106738041 is a wasteful number, since it uses less digits than its factorization.

408106738041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209592.

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 408106738041 in words is "four hundred eight billion, one hundred six million, seven hundred thirty-eight thousand, forty-one".

Divisors: 1 3 131 393 5081 15243 204377 613131 665611 1996833 26773387 80320161 1038439537 3115318611 136035579347 408106738041