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230147398944 = 25321430355871
BaseRepresentation
bin1101011001010111011…
…0101001110100100000
3211000001100221020012200
43112111312221310200
512232320213231234
6253421145253200
722425160420251
oct3262566516440
9730040836180
10230147398944
1189672230241
123872ba94200
131891a0b2288
14b1d3d38b28
155ebeeb6d99
hex3595da9d20

230147398944 has 72 divisors (see below), whose sum is σ = 654539139072. Its totient is φ = 76709063040.

The previous prime is 230147398939. The next prime is 230147399017. The reversal of 230147398944 is 449893741032.

230147398944 is a `hidden beast` number, since 23 + 0 + 147 + 398 + 94 + 4 = 666.

230147398944 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 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, 4091329 + ... + 4147199.

It is an arithmetic number, because the mean of its divisors is an integer number (9090821376).

Almost surely, 2230147398944 is an apocalyptic number.

230147398944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230147398944 is an abundant number, since it is smaller than the sum of its proper divisors (424391740128).

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

230147398944 is a wasteful number, since it uses less digits than its factorization.

230147398944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70190 (or 70179 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 230147398944 in words is "two hundred thirty billion, one hundred forty-seven million, three hundred ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14303 28606 42909 55871 57212 85818 111742 114424 128727 167613 171636 223484 228848 257454 335226 343272 446968 457696 502839 514908 670452 686544 893936 1005678 1029816 1340904 1373088 1787872 2011356 2059632 2681808 4022712 4119264 5363616 8045424 16090848 799122913 1598245826 2397368739 3196491652 4794737478 6392983304 7192106217 9589474956 12785966608 14384212434 19178949912 25571933216 28768424868 38357899824 57536849736 76715799648 115073699472 230147398944