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13440112035 = 357436774397
BaseRepresentation
bin11001000010001011…
…11101010110100011
31021200122221102200020
430201011331112203
5210011132041120
610101352124523
7654026032050
oct144105752643
937618842606
1013440112035
115777658109
122731096743
131362618b1c
14916db2027
15539dda640
hex32117d5a3

13440112035 has 64 divisors (see below), whose sum is σ = 25190618112. Its totient is φ = 5990939136.

The previous prime is 13440112009. The next prime is 13440112073. The reversal of 13440112035 is 53021104431.

It is a happy number.

13440112035 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13440112035 - 25 = 13440112003 is a prime.

It is a super-3 number, since 3×134401120353 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13440111996 and 13440112014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3054457 + ... + 3058853.

It is an arithmetic number, because the mean of its divisors is an integer number (393603408).

Almost surely, 213440112035 is an apocalyptic number.

13440112035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13440112035 is a deficient number, since it is larger than the sum of its proper divisors (11750506077).

13440112035 is a wasteful number, since it uses less digits than its factorization.

13440112035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5132.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 13440112035 its reverse (53021104431), we get a palindrome (66461216466).

The spelling of 13440112035 in words is "thirteen billion, four hundred forty million, one hundred twelve thousand, thirty-five".

Divisors: 1 3 5 7 15 21 35 43 105 129 215 301 645 677 903 1505 2031 3385 4397 4515 4739 10155 13191 14217 21985 23695 29111 30779 65955 71085 87333 92337 145555 153895 189071 203777 436665 461685 567213 611331 945355 1018885 1323497 2836065 2976769 3056655 3970491 6617485 8930307 14883845 19852455 20837383 44651535 62512149 104186915 128001067 312560745 384003201 640005335 896007469 1920016005 2688022407 4480037345 13440112035