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331125104044 = 227296746713033
BaseRepresentation
bin1001101000110001001…
…10000001110110101100
31011122200200022010201101
410310120212001312230
520411121011312134
6412041120052444
732631405642040
oct4643046016654
91148620263641
10331125104044
1111847a541689
1254211164124
13252c0324037
1412052b82020
15892ee7be14
hex4d18981dac

331125104044 has 96 divisors (see below), whose sum is σ = 696853946880. Its totient is φ = 134672896512.

The previous prime is 331125104021. The next prime is 331125104053. The reversal of 331125104044 is 440401521133.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25400152 + ... + 25413184.

It is an arithmetic number, because the mean of its divisors is an integer number (7258895280).

Almost surely, 2331125104044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331125104044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348426973440).

331125104044 is an abundant number, since it is smaller than the sum of its proper divisors (365728842836).

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

331125104044 is a wasteful number, since it uses less digits than its factorization.

331125104044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13607 (or 13605 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 331125104044 its reverse (440401521133), we get a palindrome (771526625177).

The spelling of 331125104044 in words is "three hundred thirty-one billion, one hundred twenty-five million, one hundred four thousand, forty-four".

Divisors: 1 2 4 7 14 28 29 58 67 116 134 203 268 406 467 469 812 934 938 1868 1876 1943 3269 3886 6538 7772 13033 13076 13543 13601 26066 27086 27202 31289 52132 54172 54404 62578 91231 94801 125156 182462 189602 219023 364924 377957 379204 438046 755914 873211 876092 907381 1511828 1746422 1814762 2645699 3492844 3629524 5291398 6086411 6112477 6351667 10582796 12172822 12224954 12703334 24345644 24449908 25323119 25406668 42604877 50646238 85209754 101292476 170419508 176505919 177261833 353011838 354523666 407789537 706023676 709047332 815579074 1235541433 1631158148 2471082866 2854526759 4942165732 5709053518 11418107036 11825896573 23651793146 47303586292 82781276011 165562552022 331125104044