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30144111132 = 22329239362431
BaseRepresentation
bin11100000100101110…
…101010001000011100
32212210210110111200110
4130010232222020130
5443213343024012
621503100530020
72114666500632
oct340456521034
985723414613
1030144111132
1111869623943
125a13250910
132ac51b1765
14165d63d352
15bb65e373c
hex704baa21c

30144111132 has 48 divisors (see below), whose sum is σ = 73066291200. Its totient is φ = 9660934080.

The previous prime is 30144111079. The next prime is 30144111199. The reversal of 30144111132 is 23111144103.

It is a junction number, because it is equal to n+sod(n) for n = 30144111099 and 30144111108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98044 + ... + 264387.

It is an arithmetic number, because the mean of its divisors is an integer number (1522214400).

Almost surely, 230144111132 is an apocalyptic number.

It is an amenable number.

30144111132 is an abundant number, since it is smaller than the sum of its proper divisors (42922180068).

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

30144111132 is a wasteful number, since it uses less digits than its factorization.

30144111132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362706 (or 362704 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 30144111132 its reverse (23111144103), we get a palindrome (53255255235).

It can be divided in two parts, 3014 and 4111132, that added together give a triangular number (4114146 = T2868).

The spelling of 30144111132 in words is "thirty billion, one hundred forty-four million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 239 348 478 717 956 1434 2868 6931 13862 20793 27724 41586 83172 362431 724862 1087293 1449724 2174586 4349172 10510499 21020998 31531497 42041996 63062994 86621009 126125988 173242018 259863027 346484036 519726054 1039452108 2512009261 5024018522 7536027783 10048037044 15072055566 30144111132