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13234045341114 = 23213331677252383
BaseRepresentation
bin1100000010010100101010…
…0100100100110110111010
31201212011101101002201220200
43000211022210210312322
53213311311101403424
644051345252303030
72534061660232563
oct300451244446672
951764341081820
1013234045341114
114242588647644
121598a1b011a76
1374cc714a7a40
1433a76190916a
1517e3ab9648c9
hexc094a924dba

13234045341114 has 96 divisors (see below), whose sum is σ = 31018603359744. Its totient is φ = 4053699112320.

The previous prime is 13234045341089. The next prime is 13234045341119. The reversal of 13234045341114 is 41114354043231.

13234045341114 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 4 + 0 + 4 + 534 + 1 + 114 = 666.

It is a super-2 number, since 2×132340453411142 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13234045341119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52310167 + ... + 52562549.

It is an arithmetic number, because the mean of its divisors is an integer number (323110451664).

Almost surely, 213234045341114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13234045341114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15509301679872).

13234045341114 is an abundant number, since it is smaller than the sum of its proper divisors (17784558018630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13234045341114 is a wasteful number, since it uses less digits than its factorization.

13234045341114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253412 (or 253409 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 13234045341114 its reverse (41114354043231), we get a palindrome (54348399384345).

The spelling of 13234045341114 in words is "thirteen trillion, two hundred thirty-four billion, forty-five million, three hundred forty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 331 662 677 993 1354 1986 2031 2979 4062 4303 5958 6093 8606 8801 12186 12909 17602 25818 26403 38727 52806 77454 79209 158418 224087 252383 448174 504766 672261 757149 1344522 1514298 2016783 2271447 2913131 3280979 4033566 4542894 5826262 6561958 8739393 9842937 17478786 19685874 26218179 29528811 52436358 59057622 83538773 167077546 170863291 250616319 341726582 501232638 512589873 751848957 1025179746 1086004049 1503697914 1537769619 2172008098 2221222783 3075539238 3258012147 4442445566 6516024294 6663668349 9774036441 13327336698 19548072882 19991005047 39982010094 56555749321 113111498642 169667247963 339334495926 509001743889 735224741173 1018003487778 1470449482346 2205674223519 4411348447038 6617022670557 13234045341114