Search a number
-
+
14523306024 = 233232961107139
BaseRepresentation
bin11011000011010100…
…00001000000101000
31101111011011101111010
431201222001000220
5214220431243044
610401044503520
71022621031033
oct154152010050
941434141433
1014523306024
116183033857
1229939aaba0
1314a5b64106
149babb801a
155a0051bb9
hex361a81028

14523306024 has 256 divisors, whose sum is σ = 40497408000. Its totient is φ = 4325207040.

The previous prime is 14523305969. The next prime is 14523306037. The reversal of 14523306024 is 42060332541.

It is a junction number, because it is equal to n+sod(n) for n = 14523305982 and 14523306000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104484147 + ... + 104484285.

It is an arithmetic number, because the mean of its divisors is an integer number (158193000).

Almost surely, 214523306024 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 14523306024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248704000).

14523306024 is an abundant number, since it is smaller than the sum of its proper divisors (25974101976).

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

14523306024 is a wasteful number, since it uses less digits than its factorization.

14523306024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 14523306024 its reverse (42060332541), we get a palindrome (56583638565).

The spelling of 14523306024 in words is "fourteen billion, five hundred twenty-three million, three hundred six thousand, twenty-four".