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13834185041 = 371249299357
BaseRepresentation
bin11001110001001010…
…01110100101010001
31022201010110102012202
430320211032211101
5211313022410131
610204430332545
7666552426665
oct147045164521
938633412182
1013834185041
11595a044a86
12282105a155
1313c6163711
149534728a5
1555e7ccbcb
hex33894e951

13834185041 has 8 divisors (see below), whose sum is σ = 14219505000. Its totient is φ = 13449466368.

The previous prime is 13834185031. The next prime is 13834185073. The reversal of 13834185041 is 14058143831.

It can be written as a sum of positive squares in 4 ways, for example, as 7045084225 + 6789100816 = 83935^2 + 82396^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13834185041 - 214 = 13834168657 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13834184986 and 13834185004.

It is not an unprimeable number, because it can be changed into a prime (13834185031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103466 + ... + 195891.

It is an arithmetic number, because the mean of its divisors is an integer number (1777438125).

Almost surely, 213834185041 is an apocalyptic number.

It is an amenable number.

13834185041 is a deficient number, since it is larger than the sum of its proper divisors (385319959).

13834185041 is a wasteful number, since it uses less digits than its factorization.

13834185041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300643.

The product of its (nonzero) digits is 46080, while the sum is 38.

The spelling of 13834185041 in words is "thirteen billion, eight hundred thirty-four million, one hundred eighty-five thousand, forty-one".

Divisors: 1 37 1249 46213 299357 11076209 373896893 13834185041