Search a number
-
+
14534135505 = 335234680881
BaseRepresentation
bin11011000100100110…
…10100111011010001
31101111220112120202000
431202103110323101
5214231214314010
610402112544213
71023112053621
oct154223247321
941456476660
1014534135505
11618916013a
122997552069
1314a81863a6
149bc3d6881
155a0e907c0
hex3624d4ed1

14534135505 has 32 divisors (see below), whose sum is σ = 26961880320. Its totient is φ = 7414513920.

The previous prime is 14534135491. The next prime is 14534135507. The reversal of 14534135505 is 50553143541.

14534135505 is a `hidden beast` number, since 14 + 5 + 3 + 4 + 135 + 505 = 666.

14534135505 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 14534135505 - 24 = 14534135489 is a prime.

It is a super-2 number, since 2×145341355052 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14534135505.

It is not an unprimeable number, because it can be changed into a prime (14534135507) 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 31 ways as a sum of consecutive naturals, for example, 2337336 + ... + 2343545.

It is an arithmetic number, because the mean of its divisors is an integer number (842558760).

Almost surely, 214534135505 is an apocalyptic number.

14534135505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14534135505 is a deficient number, since it is larger than the sum of its proper divisors (12427744815).

14534135505 is a wasteful number, since it uses less digits than its factorization.

14534135505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680918 (or 4680912 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 14534135505 in words is "fourteen billion, five hundred thirty-four million, one hundred thirty-five thousand, five hundred five".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 207 345 621 1035 3105 4680881 14042643 23404405 42127929 70213215 107660263 126383787 210639645 322980789 538301315 631918935 968942367 1614903945 2906827101 4844711835 14534135505