Search a number
-
+
14415005244249 = 3214906910744469
BaseRepresentation
bin1101000111000100000101…
…0001000101101101011001
31220001001122111111201012100
43101301001101011231121
53342133412320303444
650354054553434013
73015310160622261
oct321610121055531
956031574451170
1014415005244249
114658407731095
12174988410b909
1380743822632c
1437b99341c7a1
1519ee79ce4e69
hexd1c41445b59

14415005244249 has 12 divisors (see below), whose sum is σ = 20821815857700. Its totient is φ = 9609938134944.

The previous prime is 14415005244217. The next prime is 14415005244307. The reversal of 14415005244249 is 94244250051441.

14415005244249 is a `hidden beast` number, since 1 + 4 + 4 + 150 + 0 + 52 + 442 + 4 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7022669601024 + 7392335643225 = 2650032^2 + 2718885^2 .

It is not a de Polignac number, because 14415005244249 - 25 = 14415005244217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14415005244349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4030614 + ... + 6713855.

It is an arithmetic number, because the mean of its divisors is an integer number (1735151321475).

Almost surely, 214415005244249 is an apocalyptic number.

It is an amenable number.

14415005244249 is a deficient number, since it is larger than the sum of its proper divisors (6406810613451).

14415005244249 is a wasteful number, since it uses less digits than its factorization.

14415005244249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10893544 (or 10893541 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 14415005244249 in words is "fourteen trillion, four hundred fifteen billion, five million, two hundred forty-four thousand, two hundred forty-nine".

Divisors: 1 3 9 149069 447207 1341621 10744469 32233407 96700221 1601667249361 4805001748083 14415005244249