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406166110441 = 71315129558701
BaseRepresentation
bin1011110100100010110…
…00110000000011101001
31102211101102012020100121
411322101120300003221
523123312011013231
6510331245203241
741226113655250
oct5722130600351
91384342166317
10406166110441
111472881a9443
1266874260521
132c3bbc56bc0
1415931091797
15a872de4311
hex5e916300e9

406166110441 has 16 divisors (see below), whose sum is σ = 503207342848. Its totient is φ = 319233960000.

The previous prime is 406166110403. The next prime is 406166110477. The reversal of 406166110441 is 144011661604.

It is a cyclic number.

It is not a de Polignac number, because 406166110441 - 29 = 406166109929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 406166110397 and 406166110406.

It is not an unprimeable number, because it can be changed into a prime (406166110241) 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 15 ways as a sum of consecutive naturals, for example, 14765610 + ... + 14793091.

It is an arithmetic number, because the mean of its divisors is an integer number (31450458928).

Almost surely, 2406166110441 is an apocalyptic number.

It is an amenable number.

406166110441 is a deficient number, since it is larger than the sum of its proper divisors (97041232407).

406166110441 is a wasteful number, since it uses less digits than its factorization.

406166110441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29558872.

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 406166110441 in words is "four hundred six billion, one hundred sixty-six million, one hundred ten thousand, four hundred forty-one".

Divisors: 1 7 13 91 151 1057 1963 13741 29558701 206910907 384263113 2689841791 4463363851 31243546957 58023730063 406166110441