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1331404031041 = 72997479314107
BaseRepresentation
bin10011010111111101110…
…111010100010001000001
311201021120211120112002221
4103113331313110101001
5133303203412443131
62455345533011041
7165122301352240
oct23277567242101
94637524515087
101331404031041
11473710958557
12196050623a81
139872131ca26
1448624274957
1524975e3d411
hex135fddd4441

1331404031041 has 32 divisors (see below), whose sum is σ = 1590745847040. Its totient is φ = 1090187513856.

The previous prime is 1331404031033. The next prime is 1331404031059. The reversal of 1331404031041 is 1401304041331.

It is a happy number.

It is not a de Polignac number, because 1331404031041 - 23 = 1331404031033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1331404030997 and 1331404031015.

It is not an unprimeable number, because it can be changed into a prime (1331404031071) 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, 94371910 + ... + 94386016.

It is an arithmetic number, because the mean of its divisors is an integer number (49710807720).

Almost surely, 21331404031041 is an apocalyptic number.

It is an amenable number.

1331404031041 is a deficient number, since it is larger than the sum of its proper divisors (259341815999).

1331404031041 is a wasteful number, since it uses less digits than its factorization.

1331404031041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19033.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1331404031041 its reverse (1401304041331), we get a palindrome (2732708072372).

The spelling of 1331404031041 in words is "one trillion, three hundred thirty-one billion, four hundred four million, thirty-one thousand, forty-one".

Divisors: 1 7 29 97 203 679 2813 4793 14107 19691 33551 98749 138997 409103 464921 972979 1368379 2863721 3254447 9578653 13482709 39682991 67614851 94378963 277780937 473303957 1960830679 6558640547 13725814753 45910483829 190200575863 1331404031041