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134412141141213 = 313113193315778423
BaseRepresentation
bin11110100011111101000011…
…111011010001110011011101
3122121220200020012222020101120
4132203331003323101303131
5120104202031113004323
61153512030223001153
740211646105465015
oct3643750373216335
9577820205866346
10134412141141213
11399119616142a1
12130a9b821391b9
135a0001a170380
142529821d3cc45
15108157cc9c5e3
hex7a3f43ed1cdd

134412141141213 has 32 divisors (see below), whose sum is σ = 194810773350144. Its totient is φ = 81940753585152.

The previous prime is 134412141141119. The next prime is 134412141141293. The reversal of 134412141141213 is 312141141214431.

It is a happy number.

It is not a de Polignac number, because 134412141141213 - 225 = 134412107586781 is a prime.

It is a super-2 number, since 2×1344121411412132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134412141141293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629520 + ... + 16407942.

It is an arithmetic number, because the mean of its divisors is an integer number (6087836667192).

Almost surely, 2134412141141213 is an apocalyptic number.

134412141141213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

134412141141213 is a deficient number, since it is larger than the sum of its proper divisors (60398632208931).

134412141141213 is a wasteful number, since it uses less digits than its factorization.

134412141141213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15780485.

The product of its digits is 9216, while the sum is 33.

Adding to 134412141141213 its reverse (312141141214431), we get a palindrome (446553282355644).

The spelling of 134412141141213 in words is "one hundred thirty-four trillion, four hundred twelve billion, one hundred forty-one million, one hundred forty-one thousand, two hundred thirteen".

Divisors: 1 3 13 39 113 339 1469 1933 4407 5799 25129 75387 218429 655287 2839577 8518731 15778423 47335269 205119499 615358497 1782961799 5348885397 23178503387 30499691659 69535510161 91499074977 396495991567 1189487974701 3446465157467 10339395472401 44804047047071 134412141141213