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14007340008 = 2332194546389
BaseRepresentation
bin11010000101110011…
…10000101111101000
31100011012021121011200
431002321300233220
5212141334340013
610233533524200
71004054265654
oct150271605750
940135247150
1014007340008
115a38861962
12286b043660
131422caba8c
1496c467a64
1556ead2e73
hex342e70be8

14007340008 has 24 divisors (see below), whose sum is σ = 37936546050. Its totient is φ = 4669113312.

The previous prime is 14007340001. The next prime is 14007340051. The reversal of 14007340008 is 80004370041.

14007340008 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 only one way, i.e., 12869087364 + 1138252644 = 113442^2 + 33738^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (14007340001) 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 5 ways as a sum of consecutive naturals, for example, 97273123 + ... + 97273266.

Almost surely, 214007340008 is an apocalyptic number.

14007340008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14007340008 is an abundant number, since it is smaller than the sum of its proper divisors (23929206042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14007340008 is a wasteful number, since it uses less digits than its factorization.

14007340008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194546401 (or 194546394 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

It can be divided in two parts, 140073 and 40008, that added together give a palindrome (180081).

The spelling of 14007340008 in words is "fourteen billion, seven million, three hundred forty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 194546389 389092778 583639167 778185556 1167278334 1556371112 1750917501 2334556668 3501835002 4669113336 7003670004 14007340008