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231444343125 = 3254172420333
BaseRepresentation
bin1101011110001100101…
…0000110100101010101
3211010101202100211011100
43113203022012211111
512242444222440000
6254153555300313
722502256312522
oct3274312064525
9733352324140
10231444343125
118a178330636
1238a322aa699
1318a959ba378
14b2b82a2149
156048ca1a00
hex35e3286955

231444343125 has 60 divisors (see below), whose sum is σ = 442325719836. Its totient is φ = 116175936000.

The previous prime is 231444343087. The next prime is 231444343153. The reversal of 231444343125 is 521343444132.

231444343125 is a `hidden beast` number, since 23 + 144 + 43 + 431 + 25 = 666.

231444343125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 175964309361 + 55480033764 = 419481^2 + 235542^2 .

It is not a de Polignac number, because 231444343125 - 212 = 231444339029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 231444343125.

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 59 ways as a sum of consecutive naturals, for example, 1114542 + ... + 1305791.

Almost surely, 2231444343125 is an apocalyptic number.

231444343125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

231444343125 is a deficient number, since it is larger than the sum of its proper divisors (210881376711).

231444343125 is a wasteful number, since it uses less digits than its factorization.

231444343125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420376 (or 2420358 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 231444343125 its reverse (521343444132), we get a palindrome (752787787257).

The spelling of 231444343125 in words is "two hundred thirty-one billion, four hundred forty-four million, three hundred forty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 125 153 225 255 375 425 625 765 1125 1275 1875 2125 3825 5625 6375 10625 19125 31875 95625 2420333 7260999 12101665 21782997 36304995 41145661 60508325 108914985 123436983 181524975 205728305 302541625 370310949 544574925 617184915 907624875 1028641525 1512708125 1851554745 2722874625 3085924575 4538124375 5143207625 9257773725 13614373125 15429622875 25716038125 46288868625 77148114375 231444343125