Search a number
-
+
30144614729 = 233722813407
BaseRepresentation
bin11100000100110000…
…100101000101001001
32212210211102002111012
4130010300211011021
5443214010132404
621503115413305
72115003666065
oct340460450511
985724362435
1030144614729
1111869938239
125a13454235
132ac5329a48
14165d730aa5
15bb6692a6e
hex704c25149

30144614729 has 24 divisors (see below), whose sum is σ = 32452939008. Its totient is φ = 27946638720.

The previous prime is 30144614719. The next prime is 30144614783. The reversal of 30144614729 is 92741644103.

It is not a de Polignac number, because 30144614729 - 24 = 30144614713 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30144614719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8846144 + ... + 8849550.

It is an arithmetic number, because the mean of its divisors is an integer number (1352205792).

Almost surely, 230144614729 is an apocalyptic number.

It is an amenable number.

30144614729 is a deficient number, since it is larger than the sum of its proper divisors (2308324279).

30144614729 is a wasteful number, since it uses less digits than its factorization.

30144614729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 30144614729 in words is "thirty billion, one hundred forty-four million, six hundred fourteen thousand, seven hundred twenty-nine".

Divisors: 1 23 37 281 851 1369 3407 6463 10397 31487 78361 126059 239131 384689 957367 2899357 4664183 8847847 22019441 35422579 107276209 814719317 1310635423 30144614729