Search a number
-
+
14602300688 = 241734312
BaseRepresentation
bin11011001100101110…
…10110110100010000
31101200122210201210102
431212113112310100
5214401142110223
610412545551532
71024600336133
oct154627266420
941618721712
1014602300688
1162136886a8
1229b63455a8
1314b9331a11
149c749c21a
155a6e57928
hex3665d6d10

14602300688 has 60 divisors (see below), whose sum is σ = 30129751260. Its totient is φ = 6855727360.

The previous prime is 14602300681. The next prime is 14602300753. The reversal of 14602300688 is 88600320641.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

14602300688 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 2 ways, for example, as 8036763904 + 6565536784 = 89648^2 + 81028^2 .

It is not an unprimeable number, because it can be changed into a prime (14602300681) 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 11 ways as a sum of consecutive naturals, for example, 33879833 + ... + 33880263.

It is an arithmetic number, because the mean of its divisors is an integer number (502162521).

Almost surely, 214602300688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14602300688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15064875630).

14602300688 is an abundant number, since it is smaller than the sum of its proper divisors (15527450572).

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

14602300688 is an frugal number, since it uses more digits than its factorization.

14602300688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 14602300688 in words is "fourteen billion, six hundred two million, three hundred thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 431 578 862 1156 1724 2312 3448 4624 4913 6896 7327 9826 14654 19652 29308 39304 58616 78608 117232 124559 185761 249118 371522 498236 743044 996472 1486088 1992944 2117503 2972176 3157937 4235006 6315874 8470012 12631748 16940024 25263496 33880048 50526992 53684929 107369858 214739716 429479432 858958864 912643793 1825287586 3650575172 7301150344 14602300688