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14347008841 = 112108892
BaseRepresentation
bin11010101110010010…
…11111101101001001
31101000212102120012211
431113021133231021
5213340313240331
610331350105121
71015350364054
oct152711375511
941025376184
1014347008841
1160a2570100
12294494b1a1
131478488759
149a1605a9b
1558e82a8b1
hex35725fb49

14347008841 has 9 divisors (see below), whose sum is σ = 15771301063. Its totient is φ = 13041537520.

The previous prime is 14347008821. The next prime is 14347008869. The reversal of 14347008841 is 14880074341.

It is a happy number.

The square root of 14347008841 is 119779.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 441882441 + 13905126400 = 21021^2 + 117920^2 .

It is not a de Polignac number, because 14347008841 - 213 = 14347000649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14347008794 and 14347008803.

It is not an unprimeable number, because it can be changed into a prime (14347008811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1312125 + ... + 1323013.

Almost surely, 214347008841 is an apocalyptic number.

14347008841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

14347008841 is the 119779-th square number.

14347008841 is the 59890-th centered octagonal number.

It is an amenable number.

14347008841 is a deficient number, since it is larger than the sum of its proper divisors (1424292222).

14347008841 is an frugal number, since it uses more digits than its factorization.

14347008841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21800 (or 10900 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 14347008841 in words is "fourteen billion, three hundred forty-seven million, eight thousand, eight hundred forty-one".

Divisors: 1 11 121 10889 119779 1317569 118570321 1304273531 14347008841