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14185348753 = 291109441073
BaseRepresentation
bin11010011011000001…
…10011111010010001
31100121121020101021011
431031200303322101
5213022422130003
610303333130521
71011345321622
oct151540637221
940547211234
1014185348753
11601a294524
1228ba789a41
131450b364b4
14987d63a49
1558054646d
hex34d833e91

14185348753 has 8 divisors (see below), whose sum is σ = 14687764200. Its totient is φ = 13683817728.

The previous prime is 14185348687. The next prime is 14185348769. The reversal of 14185348753 is 35784358141.

14185348753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 686859264 + 13498489489 = 26208^2 + 116183^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 14185348753 - 29 = 14185348241 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14185348697 and 14185348706.

It is not an unprimeable number, because it can be changed into a prime (14185348553) 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 7 ways as a sum of consecutive naturals, for example, 188376 + ... + 252697.

It is an arithmetic number, because the mean of its divisors is an integer number (1835970525).

Almost surely, 214185348753 is an apocalyptic number.

It is an amenable number.

14185348753 is a deficient number, since it is larger than the sum of its proper divisors (502415447).

14185348753 is a wasteful number, since it uses less digits than its factorization.

14185348753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442211.

The product of its digits is 1612800, while the sum is 49.

The spelling of 14185348753 in words is "fourteen billion, one hundred eighty-five million, three hundred forty-eight thousand, seven hundred fifty-three".

Divisors: 1 29 1109 32161 441073 12791117 489149957 14185348753