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231413330442 = 237591074192083
BaseRepresentation
bin1101011110000101001…
…1110011001000001010
3211010022121000012202110
43113201103303020022
512242413303033232
6254150530443150
722501431565530
oct3274123631012
9733277005673
10231413330442
118a161879318
1238a23a334b6
1318a8c44c478
14b2b410c150
1560461c7acc
hex35e14f320a

231413330442 has 128 divisors (see below), whose sum is σ = 544494182400. Its totient is φ = 64205482176.

The previous prime is 231413330413. The next prime is 231413330443. The reversal of 231413330442 is 244033314132.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (231413330443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111095133 + ... + 111097215.

It is an arithmetic number, because the mean of its divisors is an integer number (4253860800).

Almost surely, 2231413330442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231413330442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272247091200).

231413330442 is an abundant number, since it is smaller than the sum of its proper divisors (313080851958).

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

231413330442 is a wasteful number, since it uses less digits than its factorization.

231413330442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 231413330442 its reverse (244033314132), we get a palindrome (475446644574).

The spelling of 231413330442 in words is "two hundred thirty-one billion, four hundred thirteen million, three hundred thirty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 59 107 118 177 214 321 354 413 419 642 749 826 838 1239 1257 1498 2083 2247 2478 2514 2933 4166 4494 5866 6249 6313 8799 12498 12626 14581 17598 18939 24721 29162 37878 43743 44191 44833 49442 74163 87486 88382 89666 122897 132573 134499 148326 173047 222881 245794 265146 268998 313831 346094 368691 445762 519141 627662 668643 737382 860279 872777 941493 1038282 1337286 1560167 1720558 1745554 1882986 2580837 2618331 2645147 3120334 4680501 5161674 5236662 5290294 6109439 7935441 9361002 12218878 13149979 15870882 18328317 18516029 26299958 36656634 37032058 39449937 51493843 55548087 78899874 92049853 93387139 102987686 111096174 154481529 184099706 186774278 276149559 280161417 308963058 360456901 552299118 560322834 653709973 720913802 1081370703 1307419946 1961129919 2162741406 3922259838 5509841201 11019682402 16529523603 33059047206 38568888407 77137776814 115706665221 231413330442