Search a number
-
+
13707144217 = 1317193264383
BaseRepresentation
bin11001100010000001…
…00110110000011001
31022101021102001222001
430301000212300121
5211033012103332
610144051401001
7663450542404
oct146100466031
938337361861
1013707144217
1158a4364368
1227a65b3161
1313a5a42b30
14940642d3b
155535860e7
hex331026c19

13707144217 has 16 divisors (see below), whose sum is σ = 16452495360. Its totient is φ = 11281704192.

The previous prime is 13707144203. The next prime is 13707144229. The reversal of 13707144217 is 71244170731.

It is a cyclic number.

It is not a de Polignac number, because 13707144217 - 215 = 13707111449 is a prime.

It is a super-3 number, since 3×137071442173 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13707144247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1627993 + ... + 1636390.

It is an arithmetic number, because the mean of its divisors is an integer number (1028280960).

Almost surely, 213707144217 is an apocalyptic number.

13707144217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13707144217 is a deficient number, since it is larger than the sum of its proper divisors (2745351143).

13707144217 is a wasteful number, since it uses less digits than its factorization.

13707144217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264432.

The product of its (nonzero) digits is 32928, while the sum is 37.

The spelling of 13707144217 in words is "thirteen billion, seven hundred seven million, one hundred forty-four thousand, two hundred seventeen".

Divisors: 1 13 17 19 221 247 323 4199 3264383 42436979 55494511 62023277 721428643 806302601 1054395709 13707144217