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331040403140 = 22519138652389
BaseRepresentation
bin1001101000100111000…
…10111010111011000100
31011122110202220212220212
410310103202322323010
520410432320400030
6412024452414552
732626326666446
oct4642342727304
91148422825825
10331040403140
1111843674a637
12541a8917458
13252a8909065
1412045814496
1589277ea595
hex4d138baec4

331040403140 has 24 divisors (see below), whose sum is σ = 695548327320. Its totient is φ = 132346926848.

The previous prime is 331040403131. The next prime is 331040403149. The reversal of 331040403140 is 41304040133.

It is an interprime number because it is at equal distance from previous prime (331040403131) and next prime (331040403149).

It can be written as a sum of positive squares in 4 ways, for example, as 42179301376 + 288861101764 = 205376^2 + 537458^2 .

It is a super-2 number, since 2×3310404031402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331040403149) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4287935 + ... + 4364454.

It is an arithmetic number, because the mean of its divisors is an integer number (28981180305).

Almost surely, 2331040403140 is an apocalyptic number.

It is an amenable number.

331040403140 is an abundant number, since it is smaller than the sum of its proper divisors (364507924180).

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

331040403140 is a wasteful number, since it uses less digits than its factorization.

331040403140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8654311 (or 8654309 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 331040403140 its reverse (41304040133), we get a palindrome (372344443273).

The spelling of 331040403140 in words is "three hundred thirty-one billion, forty million, four hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1913 3826 7652 9565 19130 38260 8652389 17304778 34609556 43261945 86523890 173047780 16552020157 33104040314 66208080628 82760100785 165520201570 331040403140