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30224322144 = 2532271387253
BaseRepresentation
bin11100001001100000…
…101000111001100000
32220000101101122111200
4130021200220321200
5443344411302034
621515044041200
72116662333162
oct341140507140
986011348450
1030224322144
11118aa929635
125a36093200
132b089b6bb3
14166a15c932
15bbd689a99
hex709828e60

30224322144 has 72 divisors (see below), whose sum is σ = 86267799072. Its totient is φ = 10037571840.

The previous prime is 30224322133. The next prime is 30224322197. The reversal of 30224322144 is 44122342203.

30224322144 is a `hidden beast` number, since 302 + 24 + 322 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 115579 + ... + 271674.

It is an arithmetic number, because the mean of its divisors is an integer number (1198163876).

Almost surely, 230224322144 is an apocalyptic number.

It is an amenable number.

30224322144 is an abundant number, since it is smaller than the sum of its proper divisors (56043476928).

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

30224322144 is a wasteful number, since it uses less digits than its factorization.

30224322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387540 (or 387529 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 30224322144 its reverse (44122342203), we get a palindrome (74346664347).

The spelling of 30224322144 in words is "thirty billion, two hundred twenty-four million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 271 288 542 813 1084 1626 2168 2439 3252 4336 4878 6504 8672 9756 13008 19512 26016 39024 78048 387253 774506 1161759 1549012 2323518 3098024 3485277 4647036 6196048 6970554 9294072 12392096 13941108 18588144 27882216 37176288 55764432 104945563 111528864 209891126 314836689 419782252 629673378 839564504 944510067 1259346756 1679129008 1889020134 2518693512 3358258016 3778040268 5037387024 7556080536 10074774048 15112161072 30224322144