Search a number
-
+
14543314624 = 267313032389
BaseRepresentation
bin11011000101101100…
…10101111011000000
31101112112210221010101
431202312111323000
5214241042031444
610403041412144
71023253064116
oct154266257300
941475727111
1014543314624
11619335a593
12299a63a054
1314aa04b417
149bd705ab6
155a1ba53d4
hex362d95ec0

14543314624 has 56 divisors (see below), whose sum is σ = 29289430880. Its totient is φ = 7163541504.

The previous prime is 14543314619. The next prime is 14543314627. The reversal of 14543314624 is 42641334541.

14543314624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145433146242 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14543314627) 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, 6086422 + ... + 6088810.

Almost surely, 214543314624 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 14543314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14644715440).

14543314624 is an abundant number, since it is smaller than the sum of its proper divisors (14746116256).

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

14543314624 is a wasteful number, since it uses less digits than its factorization.

14543314624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3767 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

The spelling of 14543314624 in words is "fourteen billion, five hundred forty-three million, three hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 1168 1303 2336 2389 2606 4672 4778 5212 9556 10424 19112 20848 38224 41696 76448 83392 95119 152896 174397 190238 348794 380476 697588 760952 1395176 1521904 2790352 3043808 3112867 5580704 6087616 6225734 11161408 12451468 24902936 49805872 99611744 199223488 227239291 454478582 908957164 1817914328 3635828656 7271657312 14543314624