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14007040817 = 711533432257
BaseRepresentation
bin11010000101110001…
…00111101100110001
31100011011201101202112
431002320213230301
5212141300301232
610233523255105
71004051611460
oct150270475461
940134641675
1014007040817
115a386780a0
12286ab1a495
131422c05843
1496c3ca9d7
1556ea744b2
hex342e27b31

14007040817 has 16 divisors (see below), whose sum is σ = 17792825472. Its totient is φ = 10708638720.

The previous prime is 14007040799. The next prime is 14007040823. The reversal of 14007040817 is 71804070041.

14007040817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 14007040817 - 28 = 14007040561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14007040847) 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, 1712048 + ... + 1720209.

It is an arithmetic number, because the mean of its divisors is an integer number (1112051592).

Almost surely, 214007040817 is an apocalyptic number.

It is an amenable number.

14007040817 is a deficient number, since it is larger than the sum of its proper divisors (3785784655).

14007040817 is a wasteful number, since it uses less digits than its factorization.

14007040817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432328.

The product of its (nonzero) digits is 6272, while the sum is 32.

The spelling of 14007040817 in words is "fourteen billion, seven million, forty thousand, eight hundred seventeen".

Divisors: 1 7 11 53 77 371 583 4081 3432257 24025799 37754827 181909621 264283789 1273367347 2001005831 14007040817