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1408118041 = 11177995317
BaseRepresentation
bin101001111101110…
…0010110100011001
310122010121210211001
41103323202310121
510340434234131
6351420505001
746615543261
oct12373426431
93563553731
101408118041
11662933a20
123336ab161
13195961855
14d50267a1
158394a261
hex53ee2d19

1408118041 has 16 divisors (see below), whose sum is σ = 1647095040. Its totient is φ = 1189543680.

The previous prime is 1408118003. The next prime is 1408118051.

1408118041 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1408118041 - 213 = 1408109849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1408118051) 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, 32886 + ... + 62431.

It is an arithmetic number, because the mean of its divisors is an integer number (102943440).

Almost surely, 21408118041 is an apocalyptic number.

1408118041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1408118041 is a deficient number, since it is larger than the sum of its proper divisors (238976999).

1408118041 is a wasteful number, since it uses less digits than its factorization.

1408118041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95424.

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 1408118041 is about 37524.8989472324. The cubic root of 1408118041 is about 1120.8470529328.

The spelling of 1408118041 in words is "one billion, four hundred eight million, one hundred eighteen thousand, forty-one".

Divisors: 1 11 17 79 187 869 1343 14773 95317 1048487 1620389 7530043 17824279 82830473 128010731 1408118041