Search a number
-
+
14107384064 = 28495711117
BaseRepresentation
bin11010010001101110…
…11001100100000000
31100102011112100211002
431020313121210000
5212342442242224
610251510111132
71006410533414
oct151067314400
940364470732
1014107384064
115a8a2834a4
12289864b4a8
13143a939647
1497b86ad44
155787959ae
hex348dd9900

14107384064 has 36 divisors (see below), whose sum is σ = 28167875484. Its totient is φ = 7051634688.

The previous prime is 14107384061. The next prime is 14107384111. The reversal of 14107384064 is 46048370141.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6606438400 + 7500945664 = 81280^2 + 86608^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14107384061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1263434 + ... + 1274550.

Almost surely, 214107384064 is an apocalyptic number.

It is an amenable number.

14107384064 is a deficient number, since it is larger than the sum of its proper divisors (14060491420).

14107384064 is an equidigital number, since it uses as much as digits as its factorization.

14107384064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16090 (or 16076 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 14107384064 in words is "fourteen billion, one hundred seven million, three hundred eighty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 4957 9914 11117 19828 22234 39656 44468 79312 88936 158624 177872 317248 355744 634496 711488 1268992 1422976 2845952 55106969 110213938 220427876 440855752 881711504 1763423008 3526846016 7053692032 14107384064