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314111443041 = 321110729652737
BaseRepresentation
bin1001001001000101000…
…00000100000001100001
31010000202222002121102200
410210202200010001201
520121300012134131
6400144550203413
731456655132604
oct4444240040141
91100688077380
10314111443041
111112397a2320
1250a63353569
132380b5598c6
14112bb34833b
1582864a72e6
hex4922804061

314111443041 has 24 divisors (see below), whose sum is σ = 499589329824. Its totient is φ = 188591400960.

The previous prime is 314111443021. The next prime is 314111443043. The reversal of 314111443041 is 140344111413.

314111443041 is a `hidden beast` number, since 314 + 1 + 1 + 1 + 44 + 304 + 1 = 666.

It is not a de Polignac number, because 314111443041 - 213 = 314111434849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314111442996 and 314111443014.

It is not an unprimeable number, because it can be changed into a prime (314111443043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14815776 + ... + 14836961.

It is an arithmetic number, because the mean of its divisors is an integer number (20816222076).

Almost surely, 2314111443041 is an apocalyptic number.

It is an amenable number.

314111443041 is a deficient number, since it is larger than the sum of its proper divisors (185477886783).

314111443041 is a wasteful number, since it uses less digits than its factorization.

314111443041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29652861 (or 29652858 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 314111443041 its reverse (140344111413), we get a palindrome (454455554454).

The spelling of 314111443041 in words is "three hundred fourteen billion, one hundred eleven million, four hundred forty-three thousand, forty-one".

Divisors: 1 3 9 11 33 99 107 321 963 1177 3531 10593 29652737 88958211 266874633 326180107 978540321 2935620963 3172842859 9518528577 28555585731 34901271449 104703814347 314111443041