Search a number
-
+
13842168048 = 243296126167
BaseRepresentation
bin11001110010000111…
…01011100011110000
31022201200110222211200
430321003223203300
5211322043334143
610205313411200
71000010326032
oct147103534360
938650428750
1013842168048
1159635a7805
122823869b00
1313c79ca1a7
1495454dc52
155603581d3
hex3390eb8f0

13842168048 has 30 divisors (see below), whose sum is σ = 38738845704. Its totient is φ = 4614055968.

The previous prime is 13842168001. The next prime is 13842168049. The reversal of 13842168048 is 84086124831.

13842168048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13842167994 and 13842168012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13842168049) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 48062940 + ... + 48063227.

Almost surely, 213842168048 is an apocalyptic number.

13842168048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13842168048 is an abundant number, since it is smaller than the sum of its proper divisors (24896677656).

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

13842168048 is a wasteful number, since it uses less digits than its factorization.

13842168048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96126181 (or 96126172 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 13842168048 in words is "thirteen billion, eight hundred forty-two million, one hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 96126167 192252334 288378501 384504668 576757002 769009336 865135503 1153514004 1538018672 1730271006 2307028008 3460542012 4614056016 6921084024 13842168048