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230140310112 = 25322339341641
BaseRepresentation
bin1101011001010101101…
…1100111001001100000
3211000000212121002011100
43112111123213021200
512232311404410422
6253420333314400
722425043234146
oct3262533471140
9730025532140
10230140310112
11896692292a9
1238729635a00
131891879c7bb
14b1d3011596
155ebe5667ac
hex35956e7260

230140310112 has 72 divisors (see below), whose sum is σ = 654743227320. Its totient is φ = 76680414720.

The previous prime is 230140310093. The next prime is 230140310123. The reversal of 230140310112 is 211013041032.

230140310112 is a `hidden beast` number, since 2 + 301 + 40 + 310 + 1 + 12 = 666.

230140310112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 502812 + ... + 844452.

It is an arithmetic number, because the mean of its divisors is an integer number (9093655935).

Almost surely, 2230140310112 is an apocalyptic number.

It is an amenable number.

230140310112 is an abundant number, since it is smaller than the sum of its proper divisors (424602917208).

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

230140310112 is a wasteful number, since it uses less digits than its factorization.

230140310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343996 (or 343985 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 230140310112 its reverse (211013041032), we get a palindrome (441153351144).

The spelling of 230140310112 in words is "two hundred thirty billion, one hundred forty million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2339 4678 7017 9356 14034 18712 21051 28068 37424 42102 56136 74848 84204 112272 168408 224544 336816 341641 673632 683282 1024923 1366564 2049846 2733128 3074769 4099692 5466256 6149538 8199384 10932512 12299076 16398768 24598152 32797536 49196304 98392608 799098299 1598196598 2397294897 3196393196 4794589794 6392786392 7191884691 9589179588 12785572784 14383769382 19178359176 25571145568 28767538764 38356718352 57535077528 76713436704 115070155056 230140310112