Search a number
-
+
14004024741 = 33779519319
BaseRepresentation
bin11010000101011010…
…00111010110100101
31100010222001011111000
431002231013112211
5212140012242431
610233334503513
71004014150320
oct150255072645
940128034430
1014004024741
115a369a8073
122869b04b99
1314223baa95
1496bc437b7
1556e67a9e6
hex342b475a5

14004024741 has 32 divisors (see below), whose sum is σ = 23716044800. Its totient is φ = 8000434800.

The previous prime is 14004024721. The next prime is 14004024751. The reversal of 14004024741 is 14742040041.

14004024741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14004024741 - 211 = 14004022693 is a prime.

It is a super-2 number, since 2×140040247412 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004024721) 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 31 ways as a sum of consecutive naturals, for example, 1498080 + ... + 1507398.

It is an arithmetic number, because the mean of its divisors is an integer number (741126400).

Almost surely, 214004024741 is an apocalyptic number.

It is an amenable number.

14004024741 is a deficient number, since it is larger than the sum of its proper divisors (9712020059).

14004024741 is an equidigital number, since it uses as much as digits as its factorization.

14004024741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17286 (or 17280 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 14004024741 its reverse (14742040041), we get a palindrome (28746064782).

The spelling of 14004024741 in words is "fourteen billion, four million, twenty-four thousand, seven hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 7951 9319 23853 27957 55657 65233 71559 83871 166971 195699 214677 251613 500913 587097 1502739 1761291 74095369 222286107 518667583 666858321 1556002749 2000574963 4668008247 14004024741