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14010746689 = 41228872
BaseRepresentation
bin11010000110001101…
…10000011101000001
31100011102200200021001
431003012300131001
5212143222343224
610234134532001
71004125244662
oct150306603501
940142620231
1014010746689
115a3a7793a5
122870207001
131423902574
1496cab3369
15570057544
hex3431b0741

14010746689 has 9 divisors (see below), whose sum is σ = 14365783011. Its totient is φ = 13664286480.

The previous prime is 14010746657. The next prime is 14010746719. The reversal of 14010746689 is 98664701041.

The square root of 14010746689 is 118367.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 675116289 + 13335630400 = 25983^2 + 115480^2 .

It is not a de Polignac number, because 14010746689 - 25 = 14010746657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14010746609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4851604 + ... + 4854490.

Almost surely, 214010746689 is an apocalyptic number.

14010746689 is the 118367-th square number.

14010746689 is the 59184-th centered octagonal number.

It is an amenable number.

14010746689 is a deficient number, since it is larger than the sum of its proper divisors (355036322).

14010746689 is an frugal number, since it uses more digits than its factorization.

14010746689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5856 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 14010746689 in words is "fourteen billion, ten million, seven hundred forty-six thousand, six hundred eighty-nine".

Divisors: 1 41 1681 2887 118367 4853047 8334769 341725529 14010746689