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331474072041 = 3376128751329
BaseRepresentation
bin1001101001011010110…
…01001111000111101001
31011200120222221112211000
410310231121033013221
520412324330301131
6412135503425213
732643144060330
oct4645531170751
91150528845730
10331474072041
11118639521492
12542a9bb5209
1325347708588
1412087260d17
15895090ece6
hex4d2d64f1e9

331474072041 has 32 divisors (see below), whose sum is σ = 570426387200. Its totient is φ = 186308605440.

The previous prime is 331474072021. The next prime is 331474072043. The reversal of 331474072041 is 140270474133.

331474072041 is a `hidden beast` number, since 3 + 3 + 1 + 47 + 407 + 204 + 1 = 666.

It is not a de Polignac number, because 331474072041 - 29 = 331474071529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331474071987 and 331474072005.

It is not an unprimeable number, because it can be changed into a prime (331474072043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14364136 + ... + 14387193.

It is an arithmetic number, because the mean of its divisors is an integer number (17825824600).

Almost surely, 2331474072041 is an apocalyptic number.

It is an amenable number.

331474072041 is a deficient number, since it is larger than the sum of its proper divisors (238952315159).

331474072041 is a wasteful number, since it uses less digits than its factorization.

331474072041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28751406 (or 28751400 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 331474072041 in words is "three hundred thirty-one billion, four hundred seventy-four million, seventy-two thousand, forty-one".

Divisors: 1 3 7 9 21 27 61 63 183 189 427 549 1281 1647 3843 11529 28751329 86253987 201259303 258761961 603777909 776285883 1753831069 1811333727 5261493207 5434001181 12276817483 15784479621 36830452449 47353438863 110491357347 331474072041